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Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–3.04 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.70 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 2.48–2.90 Å. In the fourth 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 2.45–2.60 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–3.04 Å. In the sixth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.64 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.25 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.14 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.26 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.15 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–38°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–43°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–37°. All Si–O bond lengths are 1.64 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–39°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. All P–O bond lengths are 1.55 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–40°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to three Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na7Zr4Si5PO24 by Materials Project

Na7Zr4Si5PO24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.54–2.66 Å. In the second 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 2.52–3.04 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 2.49–3.00 Å. In the fourth 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 2.31–2.76 Å. In the fifth 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 2.54–3.11 Å. In the sixth 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 2.44–3.09 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–3.08 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.16 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.17 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.23 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.25 Å. There are five inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–37°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–37°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–33°. There is three shorter (1.64 Å) and one longer (1.65 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–36°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–38°. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–35°. All P–O bond lengths are 1.55 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to three Na1+, one Zr4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na10Zr6Si7(PO18)2 by Materials Project

Na10Zr6Si7(PO18)2 is Pb (Zr_0.50 Ti_0.48) O_3-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.92 Å. In the second 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 2.35–2.63 Å. In the third 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 2.42–2.60 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.91 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 2.38–2.65 Å. In the sixth 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 2.39–2.84 Å. In the seventh Na1+ site, Na1+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–3.10 Å. In the eighth 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 2.40–2.91 Å. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–3.04 Å. In the tenth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.84 Å. In the eleventh 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 2.53–2.89 Å. In the twelfth 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 2.45–2.81 Å. In the thirteenth 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 2.38–2.89 Å. In the fourteenth 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 2.50–3.03 Å. In the fifteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–3.13 Å. In the sixteenth 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 2.33–3.00 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–3.03 Å. In the eighteenth 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 2.49–3.02 Å. In the nineteenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.93 Å. In the twentieth 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 2.38–2.97 Å. There are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.25 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.09–2.12 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.25 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.08–2.14 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.24 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.23 Å. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.19 Å. In the ninth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.24 Å. In the tenth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.98–2.34 Å. In the eleventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.29 Å. In the twelfth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one PO4 tetrahedra and corners with five SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.27 Å. There are fourteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–37°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–34°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–37°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–37°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–36°. There is three shorter (1.64 Å) and one longer (1.66 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–37°. There is two shorter (1.63 Å) and two longer (1.65 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–38°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–33°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 7–43°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–35°. 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 corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–39°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–38°. 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–41°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–37°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–37°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–39°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 13–38°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first 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 2.50–2.85 Å. In the second 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 2.50–3.01 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 2.47–3.03 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.86 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 2.30–2.79 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–3.00 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.14 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.16 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.26 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.20 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–36°. There is two shorter (1.64 Å) and two longer (1.65 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–35°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There is three shorter (1.64 Å) and one longer (1.65 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–38°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–37°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–36°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Na1+, one Zr4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na20Zr11Si10(PO9)8 by Materials Project

Na20Zr11Si10(PO9)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form distorted NaO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with three SiO4 tetrahedra, and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Na–O bond distances ranging from 2.25–2.46 Å. In the second Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.18–2.91 Å. In the third Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.19–2.74 Å. In the fourth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.19–2.82 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.85 Å. In the sixth Na site, Na is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.22–2.33 Å. In the seventh Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.95 Å. In the eighth Na site, Na is bonded in a 1-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.72 Å. In the ninth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.79 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.86 Å. In the eleventh Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.17–2.76 Å. In the twelfth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.89 Å. In the thirteenth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.29–2.53 Å. In the fourteenth Na site, Na is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.66 Å. In the fifteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.83 Å. In the sixteenth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.88 Å. In the seventeenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.94 Å. In the eighteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.99 Å. In the nineteenth Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.80 Å. In the twentieth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.70 Å. There are eleven inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with two PO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.19 Å. In the second Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.21 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.24 Å. In the fourth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.93–2.33 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.23 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.18 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.22 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.26 Å. In the ninth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.24 Å. In the tenth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.35 Å. In the eleventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.27 Å. There are ten inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–42°. There are a spread of Si–O bond distances ranging from 1.59–1.71 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 9–41°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–43°. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–41°. There are a spread of Si–O bond distances ranging from 1.57–1.71 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–43°. 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–40°. There is one shorter (1.63 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–44°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are eight inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–28°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 10–46°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–36°. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 16–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–35°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 13–44°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–37°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the second O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the third O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the fourth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to three Na and one Si atom. In the eighth O site, O is bonded to four Na and one Si atom to form distorted edge-sharing ONa4Si trigonal bipyramids. In the ninth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the tenth O site, O is bonded in a distorted see-saw-like geometry to three Na and one Si atom. In the eleventh O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the twelfth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one

36 MATERIALS SCIENCE↗

Materials Data on Na5Zr4Si3(PO8)3 by Materials Project

Na5Zr4Si3(PO8)3 crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are three shorter (2.49 Å) and three longer (2.77 Å) Na–O bond lengths. In the second 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 2.51–2.81 Å. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with three equivalent SiO4 tetrahedra and corners with three equivalent PO4 tetrahedra. There are three shorter (2.10 Å) and three longer (2.11 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with three equivalent SiO4 tetrahedra and corners with three equivalent PO4 tetrahedra. There are three shorter (2.04 Å) and three longer (2.20 Å) Zr–O bond lengths. Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–32°. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–39°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six 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 2.35–2.91 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–3.11 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 2.41–2.78 Å. In the fourth 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 2.47–2.76 Å. In the fifth 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 2.33–2.85 Å. In the sixth 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 2.32–2.81 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.27 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.27 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.29 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.25 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–45°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–44°. There is three shorter (1.64 Å) and one longer (1.65 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–46°. There is two shorter (1.64 Å) and two longer (1.65 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–45°. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Zr4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.54–2.87 Å. In the second 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 2.32–2.69 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 2.47–2.73 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.63 Å. In the fifth 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 2.48–2.84 Å. In the sixth 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 2.35–2.66 Å. In the seventh 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 2.37–2.73 Å. In the eighth 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 2.48–2.78 Å. In the ninth 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 2.37–2.76 Å. In the tenth 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 2.50–2.83 Å. In the eleventh Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.73 Å. In the twelfth 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 2.35–2.73 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.23 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.22 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.20 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.25 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.18 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.28 Å. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.28 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–43°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–44°. There is one shorter (1.62 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. All Si–O bond lengths are 1.64 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 16–44°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–39°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Zr4+ and one P5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Zr4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the forty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-fourth O2-

36 MATERIALS SCIENCE↗

Materials Data on Na17Zr12Si11P7O72 by Materials Project

Na17Zr12Si11P7O72 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Na sites. In the first Na site, Na is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.56 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–3.04 Å. In the third Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.50–2.86 Å. In the fourth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.59 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.86 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.71 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.34–3.01 Å. In the eighth Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.93 Å. In the ninth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.48–2.64 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.86 Å. In the eleventh Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.98 Å. In the twelfth Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.46–2.85 Å. In the thirteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.98 Å. In the fourteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.84 Å. In the fifteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.39–2.76 Å. In the sixteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.36–2.80 Å. In the seventeenth Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.42 Å. There are twelve inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.30 Å. In the second Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.23 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.26 Å. In the fourth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.27 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.23 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.29 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.28 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.26 Å. In the ninth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.30 Å. In the tenth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.26 Å. In the eleventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.28 Å. In the twelfth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.25 Å. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–41°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–37°. 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–30°. There is three shorter (1.63 Å) and one longer (1.65 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–43°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–34°. 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 corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–39°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–36°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–42°. There is two shorter (1.63 Å) and two longer (1.66 Å) Si–O bond length. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–34°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are seven inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–41°. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–35°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–36°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one Zr and one P atom. In the third O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Na, one Zr, and one P atom. In the fifth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the sixth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the eighth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the ninth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the eleventh O site, O is bonded in a distorted trigonal bipyramidal geometry to three Na, one Zr, and one Si atom. In the twelfth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Na, one Zr, and one Si atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Zr, and one Si atom. In the seventeenth O site, O is bonded in a 5-coordinate geometry to three Na, one Zr, and one Si atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Zr, and one P atom. In the twentieth O site, O is

36 MATERIALS SCIENCE↗

Materials Data on Na9Zr8Si4(P4O23)2 by Materials Project

Na9Zr8Si4(P4O23)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–3.03 Å. In the second 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 2.31–2.74 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 2.39–2.85 Å. In the fourth 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 2.47–2.72 Å. In the fifth 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 2.25–2.84 Å. In the sixth Na1+ site, Na1+ is bonded in a 1-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.21–3.03 Å. In the seventh Na1+ site, Na1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.95 Å. In the eighth 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 2.47–2.66 Å. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.99 Å. There are eight inequivalent Zr+3.38+ sites. In the first Zr+3.38+ site, Zr+3.38+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two SiO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.30 Å. In the second Zr+3.38+ site, Zr+3.38+ is bonded to six O2- atoms to form distorted ZrO6 pentagonal pyramids that share corners with two SiO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.28 Å. In the third Zr+3.38+ site, Zr+3.38+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one ZrO5 square pyramid, corners with two SiO4 tetrahedra, and corners with two PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.24 Å. In the fourth Zr+3.38+ site, Zr+3.38+ is bonded to six O2- atoms to form distorted ZrO6 pentagonal pyramids that share a cornercorner with one ZrO6 octahedra, corners with two SiO4 tetrahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of Zr–O bond distances ranging from 2.06–2.21 Å. In the fifth Zr+3.38+ site, Zr+3.38+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share a cornercorner with one ZrO6 pentagonal pyramid, corners with two SiO4 tetrahedra, and corners with two PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.98–2.35 Å. In the sixth Zr+3.38+ site, Zr+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.64 Å. In the seventh Zr+3.38+ site, Zr+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 1.94–2.43 Å. In the eighth Zr+3.38+ site, Zr+3.38+ is bonded to five O2- atoms to form distorted ZrO5 square pyramids that share a cornercorner with one ZrO6 octahedra, corners with two SiO4 tetrahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Zr–O bond distances ranging from 1.96–2.23 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two ZrO6 octahedra and a cornercorner with one ZrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 43–67°. There are a spread of Si–O bond distances ranging from 1.56–1.71 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two ZrO6 octahedra and a cornercorner with one ZrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 27–39°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO6 pentagonal pyramid, and a cornercorner with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of Si–O bond distances ranging from 1.58–1.74 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO6 pentagonal pyramid, and a cornercorner with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 25°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.57–1.79 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZrO6 octahedra and a cornercorner with one ZrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 38–47°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two ZrO6 octahedra, a cornercorner with one ZrO6 pentagonal pyramid, and a cornercorner with one ZrO5 square pyramid. The corner-sharing octahedra tilt angles range from 23–46°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.58–1.63 Å. In the fifth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO6 pentagonal pyramid, and a cornercorner with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 40°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and a cornercorner with one ZrO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.59–1.64 Å. There are forty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Zr+3.38+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr+3.38+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr+3.38+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a water-like geometry to one Na1+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, two Zr+3.38+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr+3.38+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Zr+3.38+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr+3.38+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Zr+3.38+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr+3.38+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr+3.38+ and one Si4+ atom. In the forty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr+3.38+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Zr+3.38+,

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first 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 2.46–2.85 Å. In the second 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 2.54–2.67 Å. In the third 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 2.36–2.77 Å. In the fourth 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 2.45–2.99 Å. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two equivalent PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.26 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two equivalent PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.17 Å. There are three inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. All Si–O bond lengths are 1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There is two shorter (1.63 Å) and two longer (1.65 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–40°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗