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Materials Data on Mg2TiO4 by Materials Project

Mg2TiO4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.14 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.13 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.14 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.12 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.02 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. All Mg–O bond lengths are 2.00 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. All Mg–O bond lengths are 2.00 Å. In the tenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are three shorter (2.00 Å) and one longer (2.01 Å) Mg–O bond lengths. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. All Mg–O bond lengths are 2.00 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.12 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. All Mg–O bond lengths are 2.00 Å. In the seventeenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Mg–O bond lengths. In the eighteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 1.99–2.01 Å. In the nineteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There is one shorter (1.99 Å) and three longer (2.00 Å) Mg–O bond length. In the twentieth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.14 Å. In the twenty-first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.13 Å. In the twenty-second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the twenty-third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.13 Å. In the twenty-fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.13 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the ninete

36 MATERIALS SCIENCE↗

Materials Data on Na2Al2Si3(HO3)4 by Materials Project

Na2Al2Si3(HO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.66 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.92 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.90 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.58 Å. There are a spread of Na–O bond distances ranging from 2.36–2.82 Å. In the fifth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.68 Å. In the sixth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.18–2.43 Å. In the seventh Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.60 Å. In the eighth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to one H1+ and four O2- atoms. The Na–H bond length is 2.29 Å. There are a spread of Na–O bond distances ranging from 2.23–2.45 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 trigonal pyramids that share a cornercorner with one SiHO3 tetrahedra and a cornercorner with one SiHO4 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.77–1.91 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.84 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.76–1.89 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlHO3 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, a cornercorner with one SiHO4 trigonal bipyramid, and an edgeedge with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Al–O bond distances ranging from 1.72–1.87 Å. In the fifth Al3+ site, Al3+ is bonded to one H1+ and three O2- atoms to form distorted AlHO3 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlO4 tetrahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. The Al–H bond length is 1.59 Å. There are a spread of Al–O bond distances ranging from 1.75–1.86 Å. In the sixth Al3+ site, Al3+ is bonded to one H1+ and five O2- atoms to form distorted AlHO5 octahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one AlO5 trigonal bipyramid. The Al–H bond length is 2.04 Å. There are a spread of Al–O bond distances ranging from 1.77–2.09 Å. In the seventh Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.79–2.14 Å. In the eighth Al3+ site, Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one AlHO5 octahedra. There are a spread of Al–O bond distances ranging from 1.77–1.93 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the second Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to one H1+ and two O2- atoms. The Si–H bond length is 1.49 Å. There is one shorter (1.65 Å) and one longer (1.70 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.60–1.78 Å. In the fourth Si4+ site, Si4+ is bonded to one H1+ and four O2- atoms to form SiHO4 trigonal bipyramids that share a cornercorner with one AlO4 trigonal pyramid. The Si–H bond length is 1.50 Å. There are a spread of Si–O bond distances ranging from 1.73–1.80 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form distorted SiO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlHO3 tetrahedra, a cornercorner with one SiHO4 trigonal bipyramid, and an edgeedge with one AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Si–O bond distances ranging from 1.56–1.75 Å. In the sixth Si4+ site, Si4+ is bonded to one H1+ and four O2- atoms to form distorted SiHO4 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra and corners with two SiO4 tetrahedra. The Si–H bond length is 1.47 Å. There are a spread of Si–O bond distances ranging from 1.70–1.81 Å. In the seventh Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.67 Å) and two longer (1.69 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two H1+ and one O2- atom. There is one shorter (1.46 Å) and one longer (1.49 Å) Si–H bond length. The Si–O bond length is 1.67 Å. In the ninth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.65–1.68 Å. In the tenth Si4+ site, Si4+ is bonded to one H1+ and three O2- atoms to form SiHO3 tetrahedra that share a cornercorner with one AlO4 trigonal pyramid. The Si–H bond length is 1.49 Å. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlO5 trigonal bipyramid, and a cornercorner with one SiHO4 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.58–1.74 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the second H1+ site, H1+ is bonded in a distorted single-bond geometry to one Na1+ and one Si4+ atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the sixth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.53 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.06 Å) and one longer (1.48 Å) H–O bond length. In the eighth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.69 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.02 Å. In the thirteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.58 Å) H–O bond length. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifteenth H1+ site, H1+ is bonded in a 3-coordinate geometry to one Na1+ and two Al3+ atoms. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.49 Å. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Al3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one H1+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.51 Å. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, and one O2- atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one H1+, and one O2- atom. The O–O bond length is 1.47 Å. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Al3+, and one O2- atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+, one Si4+, and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, and one O2- atom. The O–O bond length is 1.49 Å. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one O2- atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Al3+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Al3+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Al3+, and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, one H1+, and one O2- atom. The O–O bond length is 1.52 Å. In the twenty-seventh O2- site, O2- is bonded in a 2-

36 MATERIALS SCIENCE↗

Materials Data on Al12Si12Ag16S5O48 by Materials Project

Ag16Al12Si12S5O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ag sites. In the first Ag site, Ag is bonded to one S and three O atoms to form distorted AgSO3 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The Ag–S bond length is 2.43 Å. There are a spread of Ag–O bond distances ranging from 2.46–2.53 Å. In the second Ag site, Ag is bonded to one S and three O atoms to form AgSO3 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The Ag–S bond length is 2.40 Å. There are a spread of Ag–O bond distances ranging from 2.35–2.40 Å. In the third Ag site, Ag is bonded to one S and three O atoms to form AgSO3 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The Ag–S bond length is 2.41 Å. There are two shorter (2.36 Å) and one longer (2.41 Å) Ag–O bond lengths. In the fourth Ag site, Ag is bonded to one S and three O atoms to form distorted AgSO3 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The Ag–S bond length is 2.57 Å. There are a spread of Ag–O bond distances ranging from 2.46–2.49 Å. In the fifth Ag site, Ag is bonded in a distorted rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.40 Å. There are a spread of Ag–O bond distances ranging from 2.51–2.59 Å. In the sixth Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.42 Å. There are a spread of Ag–O bond distances ranging from 2.55–2.61 Å. In the seventh Ag site, Ag is bonded to one S and three O atoms to form distorted AgSO3 trigonal pyramids that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. The Ag–S bond length is 2.40 Å. There are a spread of Ag–O bond distances ranging from 2.51–2.57 Å. In the eighth Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.40 Å. There are a spread of Ag–O bond distances ranging from 2.51–2.62 Å. In the ninth Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.42 Å. There are a spread of Ag–O bond distances ranging from 2.50–2.61 Å. In the tenth Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.41 Å. There are a spread of Ag–O bond distances ranging from 2.50–2.60 Å. In the eleventh Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.40 Å. There are a spread of Ag–O bond distances ranging from 2.52–2.64 Å. In the twelfth Ag site, Ag is bonded to one S and three O atoms to form distorted AgSO3 trigonal pyramids that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. The Ag–S bond length is 2.41 Å. There are one shorter (2.50 Å) and two longer (2.54 Å) Ag–O bond lengths. In the thirteenth Ag site, Ag is bonded to one S and three O atoms to form AgSO3 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The Ag–S bond length is 2.41 Å. There are a spread of Ag–O bond distances ranging from 2.35–2.41 Å. In the fourteenth Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.41 Å. There are a spread of Ag–O bond distances ranging from 2.45–2.64 Å. In the fifteenth Ag site, Ag is bonded in a rectangular see-saw-like geometry to one S and three O atoms. The Ag–S bond length is 2.40 Å. There are a spread of Ag–O bond distances ranging from 2.51–2.56 Å. In the sixteenth Ag site, Ag is bonded to one S and three O atoms to form AgSO3 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The Ag–S bond length is 2.41 Å. There are a spread of Ag–O bond distances ranging from 2.34–2.40 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with four SiO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra, corners with four SiO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra, corners with four SiO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. There is one shorter (1.76 Å) and three longer (1.77 Å) Al–O bond length. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.75 Å) and two longer (1.77 Å) Al–O bond length. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Al–O bond length. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four SiO4 tetrahedra. All Al–O bond lengths are 1.76 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with four SiO4 tetrahedra, and corners with two AgSO3 trigonal pyramids. There is one shorter (1.76 Å) and three longer (1.77 Å) Al–O bond length. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and a cornercorner with one AgSO3 trigonal pyramid. There is three shorter (1.76 Å) and one longer (1.77 Å) Al–O bond length. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.75 Å) and two longer (1.77 Å) Al–O bond length. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Al–O bond length. There are twelve inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AgSO3 tetrahedra, corners with four AlO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with four AlO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. All Si–O bond lengths are 1.64 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with four AlO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with four AlO4 tetrahedra, and a cornercorner with one AgSO3 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AgSO3 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AgSO3 tetrahedra, corners with four AlO4 tetrahedra, and corners with two AgSO3 trigonal pyramids. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. There are five inequivalent S sites. In the first S site, S is bonded in a 3-coordinate geometry to two Ag and one S atom. The S–S bond length is 1.97 Å. In the second S site, S is bonded in a tetrahedral geometry to four Ag atoms. In the third S site, S is bonded in a tetrahedral geometry to four Ag atoms. In the fourth S site, S is bonded in a tetrahedral geometry to four Ag atoms. In the fifth S site, S is bonded in a 3-coordinate geometry to two Ag and one S atom. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the second O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the third O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the fourth O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Ag, one Al, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the eighth O site, O is bonded in a 3-coordinate geometry to one Ag, one Al, and one Si atom. In the ninth O site, O is bonded in a 2-coordinate geometry to one Ag, one Al, and one Si atom. In the tenth O site, O is bonded in a distorted trigonal planar geometry to one Ag, one Al, and one Si atom. In

36 MATERIALS SCIENCE↗

Materials Data on Ru3C10(NO6)2 by Materials Project

Ru(RuON)2(CO)10 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of forty formaldehyde molecules, four ruthenium molecules, and four RuON clusters. In each RuON cluster, there are two inequivalent Ru2+ sites. In the first Ru2+ site, Ru2+ is bonded in a 2-coordinate geometry to two N3- atoms. Both Ru–N bond lengths are 2.08 Å. In the second Ru2+ site, Ru2+ is bonded in a 2-coordinate geometry to two N3- atoms. There are one shorter (2.07 Å) and one longer (2.09 Å) Ru–N bond lengths. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted trigonal planar geometry to two Ru2+ and one O2- atom. The N–O bond length is 1.21 Å. In the second N3- site, N3- is bonded in a distorted trigonal planar geometry to two Ru2+ and one O2- atom. The N–O bond length is 1.22 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one N3- atom. In the second O2- site, O2- is bonded in a single-bond geometry to one N3- atom.

36 MATERIALS SCIENCE↗

Materials Data on Rb2EuGa(SiO3)4 by Materials Project

Rb2EuGa(SiO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.96–3.40 Å. In the second Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.98–3.42 Å. In the third Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 2.90–3.64 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.97–3.35 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.96–3.39 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.91–3.18 Å. In the seventh Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.91–3.17 Å. In the eighth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.88–3.18 Å. There are four inequivalent Eu3+ sites. In the first Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.31–2.82 Å. In the second Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.31–2.80 Å. In the third Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.31–2.80 Å. In the fourth Eu3+ site, Eu3+ is bonded to seven O2- atoms to form distorted EuO7 pentagonal bipyramids that share a cornercorner with one GaO4 tetrahedra, corners with five SiO4 tetrahedra, edges with two equivalent EuO7 pentagonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Eu–O bond distances ranging from 2.32–2.80 Å. There are four inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.86 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.85 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.86 Å. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid and corners with four SiO4 tetrahedra. There are a spread of Ga–O bond distances ranging from 1.83–1.86 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two GaO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one EuO7 pentagonal bipyramid, a cornercorner with one GaO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one EuO7 pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids, a cornercorner with one GaO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two EuO7 pentagonal bipyramids and corners with two SiO4 tetrahedra. There is two shorter (1.62 Å) and two longer (1.67 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to two Rb1+, one Eu3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Ga3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two Eu3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+, two Eu3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+, one Ga3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Eu3+, one Ga3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Rb1+, one Eu3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+, two Eu3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+, one Ga3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Eu3+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Rb1+, one Eu3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Eu3+, one Ga3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Ga3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 120 degree

36 MATERIALS SCIENCE↗

Materials Data on Pr27Se40 by Materials Project

Pr27Se40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Pr sites. In the first Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.97–3.25 Å. In the second Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.26 Å. In the third Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.28 Å. In the fourth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.23 Å. In the fifth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.30 Å. In the sixth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.28 Å. In the seventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.29 Å. In the eighth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.27 Å. In the ninth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.96–3.35 Å. In the tenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.97–3.35 Å. In the eleventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.28 Å. In the twelfth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the thirteenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.99–3.27 Å. In the fourteenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.98–3.35 Å. In the fifteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the sixteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.23 Å. In the seventeenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.24 Å. In the eighteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.22 Å. In the nineteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.24 Å. In the twentieth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.28 Å. In the twenty-first Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the twenty-second Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the twenty-third Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.29 Å. In the twenty-fourth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.29 Å. In the twenty-fifth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.25 Å. In the twenty-sixth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.29 Å. In the twenty-seventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.32 Å. There are forty inequivalent Se sites. In the first Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with nine SePr6 octahedra, corners with seven SePr5 square pyramids, edges with four SePr5 square pyramids, an edgeedge with one SePr5 trigonal bipyramid, and faces with three SePr6 octahedra. The corner-sharing octahedra tilt angles range from 13–52°. In the second Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with ten SePr5 square pyramids, edges with five SePr6 octahedra, an edgeedge with one SePr5 square pyramid, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 46–55°. In the third Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with eight SePr5 square pyramids, corners with two equivalent SePr5 trigonal bipyramids, edges with two SePr6 octahedra, edges with four SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 18–53°. In the fourth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with ten SePr6 octahedra, corners with three SePr5 square pyramids, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, a faceface with one SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 20–49°. In the fifth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with nine SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with three SePr5 square pyramids, faces with three SePr6 octahedra, and faces with two SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 45–52°. In the sixth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with four SePr6 octahedra, edges with four SePr5 square pyramids, and faces with two SePr6 octahedra. The corner-sharing octahedra tilt angles range from 19–50°. In the seventh Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with nine SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with three SePr5 square pyramids, faces with three SePr6 octahedra, and faces with two SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 21–48°. In the eighth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with four SePr6 octahedra, edges with four SePr5 square pyramids, a faceface with one SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 17–51°. In the ninth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with seven SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, and faces with three SePr6 octahedra. The corner-sharing octahedra tilt angles range from 11–53°. In the tenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with six SePr6 octahedra, corners with six SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, and faces with two SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eleventh Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, a faceface with one SePr5 square pyramid, and a faceface with one SePr5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–51°. In the twelfth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share a cornercorner with one SePr6 octahedra, corners with fourteen SePr5 square pyramids, edges with four SePr6 octahedra, edges with two SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedral tilt angles are 46°. In the thirteenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with six SePr6 octahedra, corners with ten SePr5 square pyramids, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, faces with two SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 18–52°. In the fourteenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with eight SePr5 square pyramids, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, faces with two SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 19–50°. In the fifteenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with seven SePr6 octahedra, corners with eight SePr5 square pyramids, edges with two SePr6 octahedra, edges with four SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 20–54°. In the sixteenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with seven SePr6 octahedra, corners with eight SePr5 square pyramids, an edgeedge with one SePr6 octahedra, edges with five SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles

36 MATERIALS SCIENCE↗

Materials Data on Te40Rh31 by Materials Project

Rh31Te40 is alpha Pu-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-one inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to six Te atoms. There are a spread of Rh–Te bond distances ranging from 2.64–2.81 Å. In the second Rh site, Rh is bonded in a 4-coordinate geometry to three Rh and five Te atoms. There are a spread of Rh–Rh bond distances ranging from 2.78–3.02 Å. There are a spread of Rh–Te bond distances ranging from 2.61–2.94 Å. In the third Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.55–2.88 Å. In the fourth Rh site, Rh is bonded in a 4-coordinate geometry to three Rh and four Te atoms. There are a spread of Rh–Rh bond distances ranging from 2.71–3.24 Å. There are a spread of Rh–Te bond distances ranging from 2.56–2.75 Å. In the fifth Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and five Te atoms. The Rh–Rh bond length is 3.06 Å. There are a spread of Rh–Te bond distances ranging from 2.70–2.80 Å. In the sixth Rh site, Rh is bonded in a 7-coordinate geometry to one Rh and six Te atoms. The Rh–Rh bond length is 2.93 Å. There are a spread of Rh–Te bond distances ranging from 2.62–3.18 Å. In the seventh Rh site, Rh is bonded in a 3-coordinate geometry to two Rh and three Te atoms. The Rh–Rh bond length is 3.04 Å. There are a spread of Rh–Te bond distances ranging from 2.53–2.60 Å. In the eighth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.67–2.75 Å. In the ninth Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and five Te atoms. The Rh–Rh bond length is 2.86 Å. There are a spread of Rh–Te bond distances ranging from 2.61–2.88 Å. In the tenth Rh site, Rh is bonded in a 7-coordinate geometry to one Rh and six Te atoms. The Rh–Rh bond length is 2.92 Å. There are a spread of Rh–Te bond distances ranging from 2.67–3.16 Å. In the eleventh Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and five Te atoms. The Rh–Rh bond length is 2.85 Å. There are a spread of Rh–Te bond distances ranging from 2.58–2.71 Å. In the twelfth Rh site, Rh is bonded in a 3-coordinate geometry to two Rh and three Te atoms. The Rh–Rh bond length is 2.68 Å. There are a spread of Rh–Te bond distances ranging from 2.52–2.61 Å. In the thirteenth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.55–2.82 Å. In the fourteenth Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.62–2.95 Å. In the fifteenth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.61–2.77 Å. In the sixteenth Rh site, Rh is bonded in a 7-coordinate geometry to one Rh and six Te atoms. There are a spread of Rh–Te bond distances ranging from 2.65–3.05 Å. In the seventeenth Rh site, Rh is bonded in a 4-coordinate geometry to two Rh and four Te atoms. The Rh–Rh bond length is 3.02 Å. There are a spread of Rh–Te bond distances ranging from 2.54–2.70 Å. In the eighteenth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.61–2.84 Å. In the nineteenth Rh site, Rh is bonded in a 4-coordinate geometry to three Rh and five Te atoms. There are one shorter (2.98 Å) and one longer (3.02 Å) Rh–Rh bond lengths. There are a spread of Rh–Te bond distances ranging from 2.59–3.33 Å. In the twentieth Rh site, Rh is bonded in a distorted rectangular see-saw-like geometry to two Rh and four Te atoms. The Rh–Rh bond length is 3.05 Å. There are a spread of Rh–Te bond distances ranging from 2.56–2.71 Å. In the twenty-first Rh site, Rh is bonded in a 4-coordinate geometry to three Rh and five Te atoms. The Rh–Rh bond length is 2.90 Å. There are a spread of Rh–Te bond distances ranging from 2.57–3.30 Å. In the twenty-second Rh site, Rh is bonded in a 4-coordinate geometry to two Rh and five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.60–3.12 Å. In the twenty-third Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.66–3.03 Å. In the twenty-fourth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.61–2.75 Å. In the twenty-fifth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.60–2.81 Å. In the twenty-sixth Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.59–2.75 Å. In the twenty-seventh Rh site, Rh is bonded in a 5-coordinate geometry to five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.59–2.68 Å. In the twenty-eighth Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and five Te atoms. There are a spread of Rh–Te bond distances ranging from 2.62–2.82 Å. In the twenty-ninth Rh site, Rh is bonded in a 5-coordinate geometry to one Rh and six Te atoms. There are a spread of Rh–Te bond distances ranging from 2.63–3.27 Å. In the thirtieth Rh site, Rh is bonded in a 7-coordinate geometry to one Rh and six Te atoms. There are a spread of Rh–Te bond distances ranging from 2.59–3.18 Å. In the thirty-first Rh site, Rh is bonded in a 7-coordinate geometry to three Rh and four Te atoms. There are a spread of Rh–Te bond distances ranging from 2.59–2.74 Å. There are forty inequivalent Te sites. In the first Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the second Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the third Te site, Te is bonded in a 3-coordinate geometry to four Rh atoms. In the fourth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the fifth Te site, Te is bonded in a 2-coordinate geometry to three Rh atoms. In the sixth Te site, Te is bonded in a distorted pentagonal planar geometry to five Rh atoms. In the seventh Te site, Te is bonded in a 4-coordinate geometry to four Rh and one Te atom. The Te–Te bond length is 3.14 Å. In the eighth Te site, Te is bonded in a 3-coordinate geometry to three Rh atoms. In the ninth Te site, Te is bonded in a 6-coordinate geometry to four Rh and two Te atoms. The Te–Te bond length is 3.16 Å. In the tenth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the eleventh Te site, Te is bonded in a 2-coordinate geometry to three Rh and one Te atom. The Te–Te bond length is 3.08 Å. In the twelfth Te site, Te is bonded in a 3-coordinate geometry to three Rh atoms. In the thirteenth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the fourteenth Te site, Te is bonded in a 6-coordinate geometry to six Rh atoms. In the fifteenth Te site, Te is bonded in a 4-coordinate geometry to three Rh and one Te atom. In the sixteenth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the seventeenth Te site, Te is bonded in a distorted pentagonal planar geometry to five Rh atoms. In the eighteenth Te site, Te is bonded in a 5-coordinate geometry to five Rh and one Te atom. In the nineteenth Te site, Te is bonded in a 3-coordinate geometry to three Rh atoms. In the twentieth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the twenty-first Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the twenty-second Te site, Te is bonded in a 3-coordinate geometry to three Rh atoms. In the twenty-third Te site, Te is bonded in a 3-coordinate geometry to four Rh atoms. In the twenty-fourth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the twenty-fifth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the twenty-sixth Te site, Te is bonded in a 2-coordinate geometry to three Rh and one Te atom. The Te–Te bond length is 2.98 Å. In the twenty-seventh Te site, Te is bonded in a 6-coordinate geometry to six Rh atoms. In the twenty-eighth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the twenty-ninth Te site, Te is bonded in a 3-coordinate geometry to three Rh atoms. In the thirtieth Te site, Te is bonded in a 2-coordinate geometry to two Rh and one Te atom. In the thirty-first Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the thirty-second Te site, Te is bonded in a 3-coordinate geometry to three Rh atoms. In the thirty-third Te site, Te is bonded in a distorted water-like geometry to two Rh atoms. In the thirty-fourth Te site, Te is bonded in a distorted tetrahedral geometry to four Rh atoms. In the thirty-fifth Te site, Te is bonded in a distorted pentagonal planar geometry to five Rh atoms. In the thirty-sixth Te site, Te is bonded in a 2-coordinate geometry to three Rh atoms. In the thirty-seventh Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the thirty-eighth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the thirty-ninth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms. In the fortieth Te site, Te is bonded in a 4-coordinate geometry to four Rh atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr19O40 by Materials Project

Zr19O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Zr sites. In the first Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.42 Å. In the second Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.50 Å. In the third Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.43 Å. In the fourth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the fifth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.47 Å. In the sixth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 Å. In the seventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.43 Å. In the eighth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.47 Å. In the ninth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.50 Å. In the tenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.54 Å. In the eleventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the twelfth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.43 Å. In the thirteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.57 Å. In the fourteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.46 Å. In the fifteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the sixteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.49 Å. In the seventeenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the eighteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.49 Å. In the nineteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.51 Å. There are forty inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the seventeenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the nineteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-second O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-sixth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-ninth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirtieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-third O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fortieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on U11Se20 by Materials Project

U11Se20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-two inequivalent U+3.64+ sites. In the first U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.90–2.97 Å. In the second U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.21 Å. In the third U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.87–3.16 Å. In the fourth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.17 Å. In the fifth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.24 Å. In the sixth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.18 Å. In the seventh U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.20 Å. In the eighth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.19 Å. In the ninth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.16 Å. In the tenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.90–2.99 Å. In the eleventh U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.90–3.00 Å. In the twelfth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.90–2.97 Å. In the thirteenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.87–3.16 Å. In the fourteenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.19 Å. In the fifteenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.23 Å. In the sixteenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.20 Å. In the seventeenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.87–3.17 Å. In the eighteenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.19 Å. In the nineteenth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.25 Å. In the twentieth U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.88–3.18 Å. In the twenty-first U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.90–3.00 Å. In the twenty-second U+3.64+ site, U+3.64+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of U–Se bond distances ranging from 2.90–2.99 Å. There are forty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share a cornercorner with one SeU5 trigonal bipyramid, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, an edgeedge with one SeU5 trigonal bipyramid, and an edgeedge with one SeU4 trigonal pyramid. In the second Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share corners with three SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, and an edgeedge with one SeU4 trigonal pyramid. In the third Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share corners with four SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, an edgeedge with one SeU5 trigonal bipyramid, and an edgeedge with one SeU4 trigonal pyramid. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the fifth Se2- site, Se2- is bonded to five U+3.64+ atoms to form distorted SeU5 trigonal bipyramids that share corners with four SeU4 tetrahedra, corners with four SeU4 trigonal pyramids, an edgeedge with one SeU4 tetrahedra, and edges with three SeU5 trigonal bipyramids. In the sixth Se2- site, Se2- is bonded to five U+3.64+ atoms to form distorted SeU5 trigonal bipyramids that share corners with four SeU4 tetrahedra, corners with two equivalent SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, an edgeedge with one SeU4 tetrahedra, and edges with two equivalent SeU5 trigonal bipyramids. In the seventh Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the eighth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the ninth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the tenth Se2- site, Se2- is bonded to five U+3.64+ atoms to form distorted SeU5 trigonal bipyramids that share corners with four SeU4 tetrahedra, corners with two equivalent SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, an edgeedge with one SeU4 tetrahedra, and an edgeedge with one SeU5 trigonal bipyramid. In the eleventh Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the thirteenth Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with two SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the fourteenth Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with two equivalent SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the sixteenth Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with four SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the seventeenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the eighteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the nineteenth Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with four SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the twentieth Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share corners with four SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, an edgeedge with one SeU5 trigonal bipyramid, and an edgeedge with one SeU4 trigonal pyramid. In the twenty-first Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share corners with three SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, and an edgeedge with one SeU4 trigonal pyramid. In the twenty-second Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share a cornercorner with one SeU5 trigonal bipyramid, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, an edgeedge with one SeU5 trigonal bipyramid, and an edgeedge with one SeU4 trigonal pyramid. In the twenty-third Se2- site, Se2- is bonded to four U+3.64+ atoms to form SeU4 tetrahedra that share corners with four SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, edges with two equivalent SeU4 tetrahedra, an edgeedge with one SeU5 trigonal bipyramid, and an edgeedge with one SeU4 trigonal pyramid. In the twenty-fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the twenty-fifth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the twenty-sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the twenty-seventh Se2- site, Se2- is bonded to five U+3.64+ atoms to form distorted SeU5 trigonal bipyramids that share corners with four SeU4 tetrahedra, corners with two equivalent SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, an edgeedge with one SeU4 tetrahedra, and edges with two equivalent SeU5 trigonal bipyramids. In the twenty-eighth Se2- site, Se2- is bonded to five U+3.64+ atoms to form distorted SeU5 trigonal bipyramids that share corners with four SeU4 tetrahedra, corners with two equivalent SeU5 trigonal bipyramids, corners with four SeU4 trigonal pyramids, an edgeedge with one SeU4 tetrahedra, and an edgeedge with one SeU5 trigonal bipyramid. In the twenty-ninth Se2- site, Se2- is bonded to five U+3.64+ atoms to form distorted SeU5 trigonal bipyramids that share corners with four SeU4 tetrahedra, corners with four SeU4 trigonal pyramids, an edgeedge with one SeU4 tetrahedra, and edges with three SeU5 trigonal bipyramids. In the thirtieth Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the thirty-first Se2- site, Se2- is bonded in a 5-coordinate geometry to five U+3.64+ atoms. In the thirty-second Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with four SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the thirty-third Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the thirty-fourth Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with two equivalent SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the thirty-fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the thirty-sixth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four U+3.64+ atoms. In the thirty-seventh Se2- site, Se2- is bonded to four U+3.64+ atoms to form distorted SeU4 trigonal pyramids that share corners with four SeU4 tetrahedra, corners with four SeU5 trigonal bipyramids, a cornercorner with one SeU4 trigonal pyramid, an edgeedge with one SeU4 tetrahedra, and edges with two SeU4 trigonal pyramids. In the thirty-eighth Se2-

36 MATERIALS SCIENCE↗

Materials Data on Nd6MnS10 by Materials Project

Nd6MnS10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.79–3.09 Å. In the second Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.79–3.31 Å. In the third Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.77–3.33 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.78–3.35 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.80–3.30 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Nd–S bond distances ranging from 2.77–3.22 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.77–3.24 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.78–3.38 Å. In the ninth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.80–3.29 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.81–3.22 Å. In the eleventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.82–3.29 Å. In the twelfth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.82–3.11 Å. In the thirteenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.79–3.15 Å. In the fourteenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.81–3.10 Å. In the fifteenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.84–3.10 Å. In the sixteenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.78–3.31 Å. In the seventeenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.80–3.21 Å. In the eighteenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.83–3.23 Å. In the nineteenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.78–3.21 Å. In the twentieth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.80–3.17 Å. In the twenty-first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.81–3.17 Å. In the twenty-second Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.83–3.33 Å. In the twenty-third Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.81–3.29 Å. In the twenty-fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.84–3.17 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.54–3.29 Å. In the second Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.49–3.27 Å. In the third Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.54–3.24 Å. In the fourth Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mn–S bond distances ranging from 2.46–2.98 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the second S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to four Nd3+ and one Mn2+ atom. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to four Nd3+ and one Mn2+ atom. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to five Nd3+ atoms. In the twelfth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the thirteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the fourteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the fifteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Nd3+ and two Mn2+ atoms. In the seventeenth S2- site, S2- is bonded to four Nd3+ and one Mn2+ atom to form distorted corner-sharing SNd4Mn trigonal bipyramids. In the eighteenth S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 square pyramids that share corners with three SNd5 square pyramids, edges with two SNd5 square pyramids, and edges with three SNd4Mn trigonal bipyramids. In the nineteenth S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 square pyramids that share corners with four SNd5 square pyramids, a cornercorner with one SNd4Mn trigonal bipyramid, edges with two SNd5 square pyramids, an edgeedge with one SNd5 trigonal bipyramid, and a faceface with one SNd5 trigonal bipyramid. In the twentieth S2- site, S2- is bonded to four Nd3+ and one Mn2+ atom to form distorted SNd4Mn trigonal bipyramids that share a cornercorner with one SNd5 square pyramid, corners with two SNd4Mn trigonal bipyramids, and an edgeedge with one SNd5 square pyramid. In the twenty-first S2- site, S2- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SNd5 square pyramids. In the twenty-second S2- site, S2- is bonded in a 5-coordinate geometry to five Nd3+ atoms. In the twenty-third S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Nd3+ and one Mn2+ atom. In the twenty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+ atoms. In the twenty-sixth S2- site, S2- is bonded to five Nd3+ atoms to form a mixture of distorted face, edge, and corner-sharing SNd5 square pyramids. In the twenty-seventh S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+ atoms. In the twenty-eighth S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 trigonal bipyramids that share corners with two equivalent SNd5 square pyramids, a cornercorner with one SNd4Mn trigonal bipyramid, edges with four SNd5 square pyramids, and a faceface with one SNd5 square pyramid. In the twenty-ninth S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+ atoms. In the thirtieth S2- site, S2- is bonded to four Nd3+ and one Mn2+ atom to form a mixture of distorted edge and corner-sharing SNd4Mn trigonal bipyramids. In the thirty-first S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the thirty-second S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+ atoms. In the thirty-third S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 square pyramids that share corners with seven SNd5 square pyramids, a cornercorner with one SNd5 trigonal bipyramid, an edgeedge with one SNd5 square pyramid, edges with two SNd4Mn trigonal bipyramids, and faces with two SNd5 square pyramids. In the thirty-fourth S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 square pyramids that share corners with five SNd5 square pyramids, corners with three SNd4Mn trigonal bipyramids, edges with three SNd5 square pyramids, an edgeedge with one SNd5 trigonal bipyramid, and a faceface with one SNd5 square pyramid. In the thirty-fifth S2- site, S2- is bonded to five Nd3+ atoms to form a mixture of distorted face, edge, and corner-sharing SNd5 trigonal bipyramids. In the thirty-sixth S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+ atoms. In the thirty-seventh S2- site, S2- is bonded in a 5-coordinate geometry to five Nd3+ atoms. In the thirty-eighth S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 square pyramids that share corners with four SNd5 square pyramids, corners with five SNd4Mn trigonal bipyramids, edges with two SNd5 square pyramids, and faces with two SNd5 square pyramids. In the thirty-ninth S2- site, S2- is bonded in a 6-coordinate geometry to five Nd3+ and one Mn2+ atom. In the fortieth S2- site, S2- is bonded to five Nd3+ atoms to form distorted SNd5 square pyramids that share corners with three SNd5 square pyramids, a cornercorner with one SNd4Mn trigonal bipyramid, edges with four SNd5 square pyramids, edges with two SNd4Mn trigonal bipyramids, and a faceface with one SNd5 square pyramid.

36 MATERIALS SCIENCE↗

Materials Data on LiMg7N5 by Materials Project

LiMg7N5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three N3- atoms. There are a spread of Li–N bond distances ranging from 2.01–2.18 Å. In the second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with four MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with six MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.10–2.38 Å. In the third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with five MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with four MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.07–2.37 Å. In the fourth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three N3- atoms. There are a spread of Li–N bond distances ranging from 2.04–2.11 Å. In the fifth Li1+ site, Li1+ is bonded in a bent 120 degrees geometry to two N3- atoms. There are one shorter (1.96 Å) and one longer (2.04 Å) Li–N bond lengths. In the sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with two MgN4 tetrahedra, corners with five MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.12–2.29 Å. There are forty-two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 trigonal pyramids that share corners with six MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with five MgN4 trigonal pyramids, edges with two MgN4 tetrahedra, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.10–2.23 Å. In the second Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 trigonal pyramids that share corners with five MgN4 tetrahedra, corners with two LiN4 trigonal pyramids, corners with three MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.08–2.28 Å. In the third Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 tetrahedra that share corners with four MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with seven MgN4 trigonal pyramids, edges with two MgN4 tetrahedra, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.08–2.20 Å. In the fourth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with seven MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with four MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, and edges with three MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.12–2.22 Å. In the fifth Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 tetrahedra that share corners with five MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with five MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, an edgeedge with one LiN4 trigonal pyramid, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.08–2.24 Å. In the sixth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share corners with six MgN4 tetrahedra, corners with six MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.09–2.24 Å. In the seventh Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 trigonal pyramids that share corners with five MgN4 tetrahedra, corners with two MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, an edgeedge with one LiN4 trigonal pyramid, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.12–2.26 Å. In the eighth Mg2+ site, Mg2+ is bonded in a trigonal planar geometry to three N3- atoms. There are a spread of Mg–N bond distances ranging from 2.05–2.08 Å. In the ninth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share corners with six MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with three MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, an edgeedge with one LiN4 trigonal pyramid, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.06–2.22 Å. In the tenth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with six MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with four MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.09–2.23 Å. In the eleventh Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share corners with five MgN4 tetrahedra, corners with two LiN4 trigonal pyramids, corners with five MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.10–2.18 Å. In the twelfth Mg2+ site, Mg2+ is bonded in a trigonal non-coplanar geometry to three N3- atoms. There are a spread of Mg–N bond distances ranging from 2.00–2.17 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with four MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with five MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.10–2.23 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four N3- atoms to form a mixture of edge and corner-sharing MgN4 tetrahedra. There are a spread of Mg–N bond distances ranging from 2.14–2.19 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share corners with six MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with two MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, an edgeedge with one LiN4 trigonal pyramid, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.10–2.25 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 tetrahedra that share corners with six MgN4 tetrahedra, corners with two MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, an edgeedge with one LiN4 trigonal pyramid, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.05–2.27 Å. In the seventeenth Mg2+ site, Mg2+ is bonded in a trigonal non-coplanar geometry to three N3- atoms. There are a spread of Mg–N bond distances ranging from 2.07–2.09 Å. In the eighteenth Mg2+ site, Mg2+ is bonded to four N3- atoms to form a mixture of edge and corner-sharing MgN4 tetrahedra. There are a spread of Mg–N bond distances ranging from 2.15–2.18 Å. In the nineteenth Mg2+ site, Mg2+ is bonded in a trigonal non-coplanar geometry to three N3- atoms. There are a spread of Mg–N bond distances ranging from 2.01–2.14 Å. In the twentieth Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 tetrahedra that share corners with five MgN4 tetrahedra, corners with two MgN4 trigonal pyramids, an edgeedge with one LiN4 trigonal pyramid, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.05–2.25 Å. In the twenty-first Mg2+ site, Mg2+ is bonded in a trigonal planar geometry to three N3- atoms. There are one shorter (2.06 Å) and two longer (2.12 Å) Mg–N bond lengths. In the twenty-second Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with six MgN4 tetrahedra, corners with five MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, an edgeedge with one LiN4 trigonal pyramid, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.11–2.21 Å. In the twenty-third Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share corners with five MgN4 tetrahedra, corners with three MgN4 trigonal pyramids, an edgeedge with one LiN4 trigonal pyramid, and edges with two MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.10–2.23 Å. In the twenty-fourth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with four MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with five MgN4 trigonal pyramids, edges with two MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.10–2.26 Å. In the twenty-fifth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share corners with four MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with seven MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, and edges with three MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.12–2.20 Å. In the twenty-sixth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 tetrahedra that share a cornercorner with one MgN4 tetrahedra, corners with two LiN4 trigonal pyramids, corners with four MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.11–2.22 Å. In the twenty-seventh Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with six MgN4 tetrahedra, corners with two LiN4 trigonal pyramids, corners with four MgN4 trigonal pyramids, edges with three MgN4 tetrahedra, and an edgeedge with one MgN4 trigonal pyramid. There are a spread of Mg–N bond distances ranging from 2.11–2.24 Å. In the twenty-eighth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with five MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with six MgN4 trigonal pyramids, an edgeedge with one MgN4 tetrahedra, and edges with three MgN4 trigonal pyramids. There are a spread of Mg–N bond distances ranging from 2.12–2.20 Å. In the twenty-ninth Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted MgN4 trigonal pyramids that share corners with two MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with four MgN4 trigonal pyramids, and edges with three MgN4 tetrahedra. There are a spread of Mg–N bond distances ranging from 2.11–2.23 Å. In the thirtieth Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with three MgN4 tetrahedra, corners with two LiN4 trigonal pyramids, corners with four MgN4 trigonal pyramids, and edges with two MgN4 tetrahedra. There are a spread of Mg–N bond distances ranging from 2.08–2.30 Å. In the thirty-first Mg2+ site, Mg2+ is bonded to four N3- atoms to form MgN4 trigonal pyramids that share corners with three MgN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, corners with three MgN4 trigonal pyramids, and edges with three MgN4 tetrahedra. There are a spread of Mg–N bond distances ranging from 2.06–2.28 Å. In the thirty-second Mg2+ site, Mg2+ is bonded to four N3- atoms to form distorted Mg

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti20O40 by Materials Project

Na11Ti20O40 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.45 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are five shorter (2.44 Å) and one longer (2.45 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.30–2.53 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.37–2.41 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are two shorter (2.37 Å) and four longer (2.39 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are two shorter (2.37 Å) and four longer (2.39 Å) Na–O bond lengths. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are two shorter (2.37 Å) and four longer (2.40 Å) Na–O bond lengths. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.36–2.39 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.37–2.41 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.29–2.53 Å. There are twenty inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.05 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the fourth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the fifth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.00 Å. In the sixth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the seventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the eighth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the ninth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the tenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the eleventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Ti–O bond distances ranging from 2.04–2.08 Å. In the thirteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.10 Å. In the fourteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are one shorter (2.08 Å) and five longer (2.09 Å) Ti–O bond lengths. In the fifteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.07–2.09 Å. In the sixteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.09 Å. In the seventeenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are one shorter (2.08 Å) and five longer (2.09 Å) Ti–O bond lengths. In the eighteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.10 Å. In the nineteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Ti–O bond distances ranging from 2.02–2.08 Å. In the twentieth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of Ti–O bond distances ranging from 2.02–2.10 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti+3.45+ atoms. In the second O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, corners with four equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.45+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with four equivalent ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, and edges with three ONa2Ti3 square pyramids. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.45+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with four equivalent ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, and edges with three ONa2Ti3 square pyramids. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eighteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, corners with four equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In t

36 MATERIALS SCIENCE↗

Materials Data on Ag15Bi7I40 by Materials Project

Ag15Bi7I40 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share corners with three AgI6 octahedra, edges with two equivalent BiI6 octahedra, and edges with seven AgI6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ag–I bond distances ranging from 2.90–3.23 Å. In the second Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.98–3.26 Å. In the third Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.94–3.30 Å. In the fourth Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.97–3.26 Å. In the fifth Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.29 Å. In the sixth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.12 Å. In the seventh Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.87–3.09 Å. In the eighth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.09 Å. In the ninth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.90–3.09 Å. In the tenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.88–3.10 Å. In the eleventh Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Ag–I bond distances ranging from 2.89–3.32 Å. In the twelfth Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ag–I bond distances ranging from 2.98–3.14 Å. In the thirteenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ag–I bond distances ranging from 2.86–3.32 Å. In the fourteenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Ag–I bond distances ranging from 2.90–3.23 Å. In the fifteenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share a cornercorner with one BiI6 octahedra, corners with five AgI6 octahedra, and edges with ten AgI6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Ag–I bond distances ranging from 2.92–3.19 Å. There are seven inequivalent Bi+3.57+ sites. In the first Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share a cornercorner with one AgI6 octahedra, edges with two equivalent BiI6 octahedra, and edges with four AgI6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Bi–I bond distances ranging from 2.98–3.18 Å. In the second Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.88–3.28 Å. In the third Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form edge-sharing BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.02–3.27 Å. In the fourth Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.86–3.31 Å. In the fifth Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form edge-sharing BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.03–3.27 Å. In the sixth Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.93–3.23 Å. In the seventh Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.95–3.21 Å. There are forty inequivalent I1- sites. In the first I1- site, I1- is bonded in a rectangular see-saw-like geometry to three Ag1+ and one Bi+3.57+ atom. In the second I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the third I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the fourth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the fifth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the sixth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the seventh I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the eighth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the ninth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the tenth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the eleventh I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the twelfth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the thirteenth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the fourteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the fifteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the sixteenth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the seventeenth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the eighteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the nineteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the twentieth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the twenty-first I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the twenty-second I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the twenty-third I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the twenty-fourth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-fifth I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the twenty-sixth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-seventh I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-eighth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-ninth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirtieth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-first I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-second I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the thirty-third I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-fourth I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the thirty-fifth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-sixth I1- site, I1- is bonded to five Ag1+ atoms to form IAg5 square pyramids that share corners with two equivalent IAg6 octahedra, a cornercorner with one IAg5 square pyramid, edges with five IAg6 octahedra, and edges with two equivalent IAg5 square pyramids. The corner-sharing octahedral tilt angles are 9°. In the thirty-seventh I1- site, I1- is bonded in a rectangular see-saw-like geometry to four Ag1+ atoms. In the thirty-eighth I1- site, I1- is bonded to six Ag1+ atoms to form IAg6 octahedra that share corners with two equivalent IAg6 octahedra, corners with two equivalent IAg5 square pyramids, edges with five IAg6 octahedra, and edges with five IAg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the thirty-ninth I1- site, I1- is bonded to six Ag1+ atoms to form IAg6 octahedra that share corners with two equivalent IAg6 octahedra, corners with two equivalent IAg5 square pyramids, edges with five IAg6 octahedra, and edges with five IAg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the fortieth I1- site, I1- is bonded to five Ag1+ atoms to form IAg5 square pyramids that share corners with two equivalent IAg6 octahedra, a cornercorner with one IAg5 square pyramid, edges with five IAg6 octahedra, and edges with two equivalent IAg5 square pyramids. The corner-sharing octahedral tilt angles are 5°.

36 MATERIALS SCIENCE↗

Materials Data on Pr6MnS10 by Materials Project

Pr6MnS10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.83–3.36 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.82–3.32 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.25 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.82–3.24 Å. In the fifth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.83–3.27 Å. In the sixth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pr–S bond distances ranging from 2.80–3.21 Å. In the seventh Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.82–3.27 Å. In the eighth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.82–3.27 Å. In the ninth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.82–3.33 Å. In the tenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.25 Å. In the eleventh Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.81–3.17 Å. In the twelfth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.13 Å. In the thirteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.83–3.31 Å. In the fourteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.83–3.11 Å. In the fifteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.87–3.11 Å. In the sixteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.83–3.23 Å. In the seventeenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.80–3.36 Å. In the eighteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.21 Å. In the nineteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.17 Å. In the twentieth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.80–3.22 Å. In the twenty-first Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.17 Å. In the twenty-second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.26 Å. In the twenty-third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.85–3.26 Å. In the twenty-fourth Pr3+ site, Pr3+ is bonded in a distorted hexagonal bipyramidal geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.87–3.16 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Mn–S bond distances ranging from 2.55–3.24 Å. In the second Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.49–3.27 Å. In the third Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mn–S bond distances ranging from 2.51–3.06 Å. In the fourth Mn2+ site, Mn2+ is bonded in a 2-coordinate geometry to six S2- atoms. There are a spread of Mn–S bond distances ranging from 2.48–2.98 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to four Pr3+ and two Mn2+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to four Pr3+ and two Mn2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to four Pr3+ and two Mn2+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to four Pr3+ and two Mn2+ atoms. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to four Pr3+ and two Mn2+ atoms. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the fourteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Pr3+ and two Mn2+ atoms. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the sixteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the eighteenth S2- site, S2- is bonded to five Pr3+ atoms to form distorted SPr5 square pyramids that share corners with two equivalent SPr5 square pyramids, a cornercorner with one SPr5 trigonal bipyramid, an edgeedge with one SPr5 square pyramid, and edges with four SPr4Mn trigonal bipyramids. In the nineteenth S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+ atoms. In the twentieth S2- site, S2- is bonded to five Pr3+ atoms to form distorted SPr5 square pyramids that share corners with two equivalent SPr5 square pyramids, corners with three SPr4Mn trigonal bipyramids, an edgeedge with one SPr5 square pyramid, edges with two SPr5 trigonal bipyramids, and a faceface with one SPr5 trigonal bipyramid. In the twenty-first S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom. In the twenty-second S2- site, S2- is bonded to four Pr3+ and one Mn2+ atom to form a mixture of distorted edge and corner-sharing SPr4Mn trigonal bipyramids. In the twenty-third S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge and corner-sharing SPr5 trigonal bipyramids. In the twenty-fourth S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom. In the twenty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+ atoms. In the twenty-sixth S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge, face, and corner-sharing SPr5 square pyramids. In the twenty-seventh S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge, face, and corner-sharing SPr5 square pyramids. In the twenty-eighth S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the twenty-ninth S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+ atoms. In the thirtieth S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge, face, and corner-sharing SPr5 square pyramids. In the thirty-first S2- site, S2- is bonded to five Pr3+ atoms to form distorted SPr5 trigonal bipyramids that share corners with three SPr4Mn trigonal bipyramids, edges with three SPr5 square pyramids, an edgeedge with one SPr5 trigonal bipyramid, and a faceface with one SPr5 square pyramid. In the thirty-second S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+ atoms. In the thirty-third S2- site, S2- is bonded in a 5-coordinate geometry to four Pr3+ and one Mn2+ atom. In the thirty-fourth S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom. In the thirty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+ atoms. In the thirty-sixth S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge, face, and corner-sharing SPr5 square pyramids. In the thirty-seventh S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge, face, and corner-sharing SPr5 square pyramids. In the thirty-eighth S2- site, S2- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the thirty-ninth S2- site, S2- is bonded to five Pr3+ atoms to form a mixture of distorted edge, face, and corner-sharing SPr5 square pyramids. In the fortieth S2- site, S2- is bonded in a 6-coordinate geometry to five Pr3+ and one Mn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Re8Pb8O27 by Materials Project

Re8Pb8O27 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are sixteen inequivalent Re+4.75+ sites. In the first Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 41°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the second Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.99 Å) and four longer (2.00 Å) Re–O bond length. In the third Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–42°. All Re–O bond lengths are 2.00 Å. In the fourth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Re–O bond distances ranging from 1.99–2.01 Å. In the fifth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–42°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the sixth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the seventh Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–43°. There are three shorter (2.00 Å) and three longer (2.01 Å) Re–O bond lengths. In the eighth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra, edges with two equivalent PbO8 hexagonal bipyramids, and edges with four PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Re–O bond distances ranging from 1.95–2.03 Å. In the ninth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Re–O bond distances ranging from 1.97–1.99 Å. In the tenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–39°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the eleventh Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is three shorter (1.98 Å) and three longer (1.99 Å) Re–O bond length. In the twelfth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is four shorter (1.98 Å) and two longer (1.99 Å) Re–O bond length. In the thirteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–40°. There is one shorter (1.97 Å) and five longer (1.99 Å) Re–O bond length. In the fourteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is three shorter (1.98 Å) and three longer (1.99 Å) Re–O bond length. In the fifteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–39°. There is three shorter (1.98 Å) and three longer (2.00 Å) Re–O bond length. In the sixteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra, edges with four PbO8 hexagonal bipyramids, and edges with two equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Re–O bond distances ranging from 1.95–2.02 Å. There are sixteen inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, an edgeedge with one PbO8 hexagonal bipyramid, edges with two equivalent PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.23–2.72 Å. In the second Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.71 Å. In the third Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.31–2.70 Å. In the fourth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.71 Å. In the fifth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are one shorter (2.33 Å) and six longer (2.70 Å) Pb–O bond lengths. In the sixth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO8 hexagonal bipyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.08–2.75 Å. In the seventh Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.32–2.72 Å. In the eighth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with five PbO8 hexagonal bipyramids, an edgeedge with one PbO7 hexagonal pyramid, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.27–2.79 Å. In the ninth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.70 Å. In the tenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.25–2.73 Å. In the eleventh Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the twelfth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.28–2.72 Å. In the thirteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the fourteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.28–2.77 Å. In the fifteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the sixteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with three equivalent PbO8 hexagonal bipyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.18–2.73 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb2+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the seventh O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the thirteenth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the sixteenth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li7(Ga3Te5)8 by Materials Project

Li7(Ga3Te5)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share corners with two equivalent LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 15–27°. There are a spread of Li–Te bond distances ranging from 3.00–3.48 Å. In the second Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three Te+1.98- atoms. There are a spread of Li–Te bond distances ranging from 2.67–2.70 Å. In the third Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three Te+1.98- atoms. There are a spread of Li–Te bond distances ranging from 2.68–2.71 Å. In the fourth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three Te+1.98- atoms. There are a spread of Li–Te bond distances ranging from 2.77–2.81 Å. In the fifth Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Li–Te bond distances ranging from 2.99–3.46 Å. In the sixth Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share corners with three LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 15–28°. There are a spread of Li–Te bond distances ranging from 3.00–3.48 Å. In the seventh Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share corners with two LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–28°. There are a spread of Li–Te bond distances ranging from 3.01–3.51 Å. There are twenty-four inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the second Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.64–2.72 Å. In the third Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the fourth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the fifth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the sixth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the seventh Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.70 Å. In the eighth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the ninth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the tenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.72 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the thirteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–Te bond distances ranging from 2.65–2.71 Å. In the fourteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the fifteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ga–Te bond distances ranging from 2.62–2.71 Å. In the sixteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ga–Te bond distances ranging from 2.63–2.70 Å. In the seventeenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ga–Te bond distances ranging from 2.62–2.70 Å. In the eighteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.62–2.72 Å. In the nineteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.70 Å. In the twentieth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Ga–Te bond distances ranging from 2.63–2.70 Å. In the twenty-first Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.64–2.72 Å. In the twenty-second Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.63–2.71 Å. In the twenty-third Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.64–2.72 Å. In the twenty-fourth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–Te bond distances ranging from 2.65–2.71 Å. There are forty inequivalent Te+1.98- sites. In the first Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the second Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the third Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the fourth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the fifth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the sixth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the seventh Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the eighth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the ninth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the tenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the eleventh Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the twelfth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the thirteenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the fourteenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the fifteenth Te+1.98- site, Te+1.98- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ga3+ atoms. In the sixteenth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the seventeenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the eighteenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the nineteenth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the twentieth Te+1.98- site, Te+1.98- is bonded in a 4-coordinate geometry to two Li1+ and two Ga3+ atoms. In th

36 MATERIALS SCIENCE↗

Materials Data on Li5TiN3 by Materials Project

Li5TiN3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.21 Å. In the second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share a cornercorner with one TiN4 tetrahedra, corners with fourteen LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.97–2.25 Å. In the third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.24 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.06–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two LiN4 tetrahedra, and edges with two TiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.29 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.06–2.34 Å. In the eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one LiN4 tetrahedra, and edges with two TiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.28 Å. In the eleventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.13–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.31 Å. In the thirteenth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with eight LiN4 tetrahedra, and edges with six LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.23 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.10–2.40 Å. In the fifteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with seven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.20 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.01–2.50 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.08–2.43 Å. In the eighteenth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.13–2.20 Å. In the nineteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.24 Å. In the twentieth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.01–2.27 Å. In the twenty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.12–2.19 Å. In the twenty-second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.26 Å. In the twenty-third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with nine LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, edges with three LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.02–2.32 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with ten LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.12–2.31 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share a cornercorner with one TiN4 tetrahedra, corners with fourteen LiN4 tetrahedra, edges with two LiN4 tetrahedra, and edges with two TiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.25 Å. In the twenty-sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.02–2.46 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, edges with four LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.09–2.16 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.31 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.31 Å. In the thirtieth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.26 Å. In the thirty-first Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.25 Å. In the thirty-second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.28 Å. In the thirty-third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.02–2.25 Å. In the thirty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.12–2.17 Å. In the thirty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.13–2.19 Å. In the thirty-sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.33 Å. In the thirty-seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 1.97–2.36 Å. In the thirty-eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.27 Å. In the thirty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.29 Å. In the fortieth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.98–2.35 Å. In the forty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners wi

36 MATERIALS SCIENCE↗

Materials Data on Sr5Li25La7Nb8O48 by Materials Project

Li25Sr5La7Nb8O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-five inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one NbO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the second Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the third Li site, Li is bonded in a trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.83–1.91 Å. In the fourth Li site, Li is bonded in a 2-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.92–2.57 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 trigonal pyramid, and a faceface with one NbO6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 26°. There are a spread of Li–O bond distances ranging from 1.89–2.00 Å. In the sixth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.85–2.26 Å. In the seventh Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with two NbO6 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of Li–O bond distances ranging from 1.83–2.17 Å. In the ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one NbO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the tenth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, corners with two NbO6 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.85–2.02 Å. In the eleventh Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.84–2.51 Å. In the twelfth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with two NbO5 trigonal bipyramids, and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.21 Å. In the thirteenth Li site, Li is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.78–1.87 Å. In the fourteenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.46 Å. In the fifteenth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There is two shorter (1.89 Å) and one longer (1.93 Å) Li–O bond length. In the sixteenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.82–2.24 Å. In the seventeenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra and a cornercorner with one NbO6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the eighteenth Li site, Li is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.85–1.92 Å. In the nineteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three NbO6 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.91–2.21 Å. In the twentieth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two NbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–43°. There are a spread of Li–O bond distances ranging from 1.88–2.16 Å. In the twenty-first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 40°. There are three shorter (1.87 Å) and one longer (2.19 Å) Li–O bond lengths. In the twenty-second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the twenty-third Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one NbO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 24°. There are a spread of Li–O bond distances ranging from 1.87–2.19 Å. In the twenty-fourth Li site, Li is bonded in a 3-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.85–2.58 Å. In the twenty-fifth Li site, Li is bonded in a trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.92–1.96 Å. There are five inequivalent Sr sites. In the first Sr site, Sr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.84 Å. In the second Sr site, Sr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.99 Å. In the third Sr site, Sr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.72 Å. In the fourth Sr site, Sr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.72 Å. In the fifth Sr site, Sr is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Sr–O bond distances ranging from 2.39–3.02 Å. There are seven inequivalent La sites. In the first La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.36–2.56 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.42–2.78 Å. In the third La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.36–2.61 Å. In the fourth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.42–2.65 Å. In the fifth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.96 Å. In the sixth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.33–2.69 Å. In the seventh La site, La is bonded in a 8-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.44–2.81 Å. There are eight inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted NbO6 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and a faceface with one LiO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 1.89–2.77 Å. In the second Nb site, Nb is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Nb–O bond distances ranging from 1.89–2.71 Å. In the third Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.97–2.15 Å. In the fourth Nb site, Nb is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Nb–O bond distances ranging from 1.87–2.10 Å. In the fifth Nb site, Nb is bonded to five O atoms to form distorted NbO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.86–2.04 Å. In the sixth Nb site, Nb is bonded to five O atoms to form distorted NbO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.86–2.04 Å. In the seventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with three LiO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.94–2.26 Å. In the eighth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with five LiO4 tetrahedra and corners with two LiO4 trigonal pyramids. There are a spread of Nb–O bond distances ranging from 1.97–2.15 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to two Li, two La, and one Nb atom. In the second O site, O is bonded in a 7-coordinate geometry to four Li, one Sr, one La, and one Nb atom. In the third O site, O is bonded in a 4-coordinate geometry to two Li, one La, and one Nb atom. In the fourth O site, O is bonded to one Li, two La, and one Nb atom to form distorted corner-sharing OLiLa2Nb tetrahedra. In the fifth O site, O is bonded to one Li, two La, and one Nb atom to form distorted OLiLa2Nb tetrahedra that share corners with four OLiLa2Nb tetrahedra and an edgeedge with one OSrLiLaNb tetrahedra. In the sixth O site, O is bonded in a 4-coordinate geometry to one Li, two La, and one Nb atom. In the seventh O site, O is bonded to one Li, two La, and one Nb atom to form distorted corner-sharing OLiLa2Nb tetrahedra. In the eighth O site, O is bonded to one Li, one Sr, one La, and one Nb atom to form distorted OSrLiLaNb tetrahedra that share corners with four OLiLa2Nb tetrahedra and an edgeedge with one OSrLiLaNb tetrahedra. In the ninth O site, O is bonded in a 4-coordinate geometry to two Li, one Sr, one La, and one Nb atom. In the tenth O site, O is bonded in a 4-coordinate geometry to two Li, one La, and one Nb atom. In the eleventh O site, O is bonded to one Li, two La, and one Nb atom to form distorted OLiLa2Nb tetrahedra that share corners with three OLiLa2Nb tetrahedra and edges with two OSrLiLaNb tetrahedra. In the twelfth O site, O is bonded in a 5-coordinate geometry to four Li and one La atom. In the thirteenth O site, O is bonded in a trigonal non-coplanar geometry to two La and one Nb atom. In the fourteenth O site, O is bonded in a 5-coordinate geometry to two Li, one Sr, one La, and one Nb atom. In the fifteenth O site, O is bonded t

36 MATERIALS SCIENCE↗