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At least 19 records

Syntheses, crystal structures, and comparisons of rare-earth oxyapatites Ca2RE8(SiO4)6O2 (RE = La, Nd, Sm, Eu, Yb) and NaLa9(SiO4)6O2

Six different rare-earth oxyapatites including Ca2RE8(SiO4)6O2 (RE = La, Nd, Sm, Eu, Yb) and NaLa9(SiO4)6O2 were synthesized using solution-based processes followed by heat treatments. The crystal structures of the synthesized oxyapatites were solved from X-ray powder diffraction (XRD) and electron probe microanalysis (EPMA). All the oxyapatites were isostructural with the hexagonal space group P63/m and showed similar unit cell parameters. The isolated [SiO4]4- tetrahedra in each crystal are linked by the cations at 4f and 6h sites occupied by RE3+ and Ca2+ in Ca2RE8(SiO4)6O2 or La3+ and Na+ in NaLa9(SiO4)6O2. The lattice parameters, cell volumes, and densities of the synthesized oxyapatites fit well to the trendlines calculated from literature values. The compositions of crystals were verified with EPMA measurements.

oxyapatite↗

Thermal Expansion Coefficients of Ca2Y8(SiO4)6O2 and Ca2Yb8(SiO4)6O2 Apatite-type Silicates

High temperature X-ray diffraction (XRD) scans of Y2Si2O7 and Yb2Si2O7 reactions with calcium-magnesium-aluminosilicates (CMAS) were utilized to determine thermal expansion coefficients (CTEs) of Ca2Y8(SiO4)6O2 and Ca2Yb8(SiO4)6O2 apatite materials. In order to validate these measurements, the CTEs of Y2Si2O7, Yb2Si2O7 and SiO2 were also determined from the same scans. The directional CTEs for γ-Y2Si2O7 were determined to be αa=5.84×10-6/K, αb=6.81×10-6/K and αc=0.81×10-6/K, and β-Yb2Si2O7 was determined to have values of αa=6.89×10-6/K, αb=4.81×10-6/K and αc=2.78×10-6/K. The average CTEs of γ-Y2Si2O7 and β-Yb2Si2O7 were determined to be 4.5×10-6/K and 4.7×10-6/K, respectively, which agreed with previous analyses. Ca2Y8(SiO4)6O2 exhibited directional CTEs of αa=9.36×10-6/K and αc=7.95×10-6/K (averaged between two sets of data), whereas Ca2Yb8(SiO4)6O2 had values that were very similar (αa=9.63×10-6/K, αc=7.45×10-6/K). Both results for the Ca2RE8(SiO4)6O2 apatites correlated well with the limited data on apatite-type silicates available in literature.

rare earth↗

Materials Data on NaCaAl3(SiO4)3 by Materials Project

NaCaAl3(SiO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.81 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.47 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 2.30–2.93 Å. In the fourth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.76 Å. There are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.24–3.00 Å. In the second Ca2+ site, Ca2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 2.21–2.44 Å. In the third Ca2+ site, Ca2+ is bonded in a pentagonal planar geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.54 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 2.20–2.70 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.76 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.76 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There is one shorter (1.74 Å) and three longer (1.75 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.85 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.83 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.83 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.83 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. 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 a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.68 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.68 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to one Na1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two Na1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Na1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to one Ca2+ and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted linear geometry to two Ca2+ and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Ca2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Al3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Al3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a linear geometry to two Al3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Al3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fortieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Al3+ atoms. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the forty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the forty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Al3+ a

36 MATERIALS SCIENCE↗

Materials Data on Al24Tl10Cd7(SiO4)24 by Materials Project

Cd7Tl10Al24(SiO4)24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Cd sites. In the first Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.32–2.51 Å. In the second Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.34–2.49 Å. In the third Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.32–2.52 Å. In the fourth Cd site, Cd is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Cd–O bond distances ranging from 2.14–2.19 Å. In the fifth Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.32–2.50 Å. In the sixth Cd site, Cd is bonded in a trigonal planar geometry to three O atoms. There are two shorter (2.15 Å) and one longer (2.16 Å) Cd–O bond lengths. In the seventh Cd site, Cd is bonded in a trigonal planar geometry to three O atoms. There are a spread of Cd–O bond distances ranging from 2.14–2.19 Å. There are ten inequivalent Tl sites. In the first Tl site, Tl is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Tl–O bond distances ranging from 2.67–2.70 Å. In the second Tl site, Tl is bonded in a distorted T-shaped geometry to three O atoms. There are one shorter (2.59 Å) and two longer (2.67 Å) Tl–O bond lengths. In the third Tl site, Tl is bonded in a 1-coordinate geometry to two O atoms. There are one shorter (2.76 Å) and one longer (2.80 Å) Tl–O bond lengths. In the fourth Tl site, Tl is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Tl–O bond distances ranging from 2.63–2.67 Å. In the fifth Tl site, Tl is bonded in a 1-coordinate geometry to two O atoms. There are one shorter (2.64 Å) and one longer (2.82 Å) Tl–O bond lengths. In the sixth Tl site, Tl is bonded in a distorted T-shaped geometry to three O atoms. There are one shorter (2.59 Å) and two longer (2.63 Å) Tl–O bond lengths. In the seventh Tl site, Tl is bonded in a 1-coordinate geometry to two O atoms. There are one shorter (2.75 Å) and one longer (2.79 Å) Tl–O bond lengths. In the eighth Tl site, Tl is bonded in a distorted single-bond geometry to two O atoms. There are one shorter (2.64 Å) and one longer (2.85 Å) Tl–O bond lengths. In the ninth Tl site, Tl is bonded in a distorted single-bond geometry to one O atom. The Tl–O bond length is 2.63 Å. In the tenth Tl site, Tl is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Tl–O bond distances ranging from 2.60–2.63 Å. There are twenty-four inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.72–1.83 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.72–1.82 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the thirteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the fourteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the fifteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the sixteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the seventeenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the eighteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the nineteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the twentieth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the twenty-first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the twenty-second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the twenty-third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the twenty-fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. There are twenty-four inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Si–O

36 MATERIALS SCIENCE↗

Materials Data on Rb10Al24Cd7(SiO4)24 by Materials Project

Rb10Cd7Al24(SiO4)24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Rb sites. In the first Rb site, Rb is bonded in a 3-coordinate geometry to three O atoms. There are two shorter (2.80 Å) and one longer (2.86 Å) Rb–O bond lengths. In the second Rb site, Rb is bonded in a 1-coordinate geometry to six O atoms. There are a spread of Rb–O bond distances ranging from 2.72–3.48 Å. In the third Rb site, Rb is bonded in a 1-coordinate geometry to six O atoms. There are a spread of Rb–O bond distances ranging from 2.72–3.44 Å. In the fourth Rb site, Rb is bonded in a 6-coordinate geometry to two O atoms. There are one shorter (2.74 Å) and one longer (2.82 Å) Rb–O bond lengths. In the fifth Rb site, Rb is bonded in a 3-coordinate geometry to three O atoms. There are two shorter (2.68 Å) and one longer (2.71 Å) Rb–O bond lengths. In the sixth Rb site, Rb is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Rb–O bond distances ranging from 2.68–2.71 Å. In the seventh Rb site, Rb is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Rb–O bond distances ranging from 2.87–3.38 Å. In the eighth Rb site, Rb is bonded in a 6-coordinate geometry to two O atoms. There are one shorter (2.76 Å) and one longer (2.92 Å) Rb–O bond lengths. In the ninth Rb site, Rb is bonded in a 6-coordinate geometry to two O atoms. There are one shorter (2.75 Å) and one longer (2.91 Å) Rb–O bond lengths. In the tenth Rb site, Rb is bonded in a 3-coordinate geometry to three O atoms. All Rb–O bond lengths are 2.68 Å. There are seven inequivalent Cd sites. In the first Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.33–2.52 Å. In the second Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.32–2.48 Å. In the third Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.33–2.52 Å. In the fourth Cd site, Cd is bonded to six O atoms to form CdO6 octahedra that share corners with six AlO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of Cd–O bond distances ranging from 2.34–2.54 Å. In the fifth Cd site, Cd is bonded in a trigonal planar geometry to three O atoms. There are a spread of Cd–O bond distances ranging from 2.16–2.20 Å. In the sixth Cd site, Cd is bonded in a trigonal planar geometry to three O atoms. There are two shorter (2.16 Å) and one longer (2.19 Å) Cd–O bond lengths. In the seventh Cd site, Cd is bonded in a trigonal planar geometry to three O atoms. There are two shorter (2.17 Å) and one longer (2.19 Å) Cd–O bond lengths. There are twenty-four inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.72–1.82 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Al–O bond distances ranging from 1.71–1.83 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Al–O bond distances ranging from 1.71–1.84 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.74–1.79 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Al–O bond distances ranging from 1.74–1.79 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Al–O bond distances ranging from 1.74–1.83 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the thirteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the fourteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the fifteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the sixteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the seventeenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the eighteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Al–O bond distances ranging from 1.74–1.79 Å. In the nineteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the twentieth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.73–1.81 Å. In the twenty-first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the twenty-second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the twenty-third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Al–O bond distances ranging from 1.74–1.79 Å. In the twenty-fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. There are twenty-four inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Si–O bond distances ranging from 1.60–1.70 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CdO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the eighth Si

36 MATERIALS SCIENCE↗

Materials Data on RbAl3Cd(SiO4)3 by Materials Project

RbCdAl3(SiO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 3.08–3.57 Å. In the second Rb1+ site, Rb1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.79–3.59 Å. In the third Rb1+ site, Rb1+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.93–3.47 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 3-coordinate geometry to two O2- atoms. There are one shorter (2.95 Å) and one longer (3.00 Å) Rb–O bond lengths. There are four inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.14–2.53 Å. In the second Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.13–2.63 Å. In the third Cd2+ site, Cd2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.13–2.40 Å. In the fourth Cd2+ site, Cd2+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are one shorter (2.14 Å) and two longer (2.17 Å) Cd–O bond lengths. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.81 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.83 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.84 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.84 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.80 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.64 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Rb1+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Cd2+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Cd2+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Cd2+ and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Rb1+, one Cd2+, and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Cd2+, and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cd2+ and two Al3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Cd2+, and two Al3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a linear geometry to two Al3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to two Al3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Cd2+, one Al3+, and one Si4+ atom. In the fortieth O2- site, O2- is bonded in a trigonal planar geometry to one Cd2+ and two Al3+ atoms. In the forty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cd2+, one Al3+, and one Si4+ atom. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Cd2+, one Al3+, and one Si4+ atom. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Cd2+, one Al3+, and one Si4+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cd2+ and two Al3+ atoms. In the forty-fifth O2- site, O2- is bonded in a trigonal planar geometry to one Cd2+ and two Al3+ atoms. In the forty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cd2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on KMg4Al9(SiO4)9 by Materials Project

KMg4Al9(SiO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.99–3.19 Å. There are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.17 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.17 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.29 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.28 Å. There are nine inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is two shorter (1.77 Å) and two longer (1.78 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.77 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There is three shorter (1.75 Å) and one longer (1.76 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There is three shorter (1.74 Å) and one longer (1.75 Å) Al–O bond length. There are nine inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is one shorter (1.64 Å) and three 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 two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is one shorter (1.61 Å) and three longer (1.66 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.58–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 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 two MgO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There is two shorter (1.60 Å) and two longer (1.67 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 two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to one K1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CsMg4Al9(SiO4)9 by Materials Project

CsMg4Al9(SiO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Cs1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Cs–O bond distances ranging from 3.45–3.69 Å. There are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.29 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.30 Å. There are nine inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There is one shorter (1.74 Å) and three longer (1.75 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.75 Å. There are nine inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There is one shorter (1.59 Å) and three longer (1.66 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is one shorter (1.60 Å) and three longer (1.66 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. 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 two MgO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is three shorter (1.63 Å) and one longer (1.65 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2Al2(SiO4)3 by Materials Project

Na2Al2(SiO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na sites. In the first Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two equivalent NaO6 pentagonal pyramids, an edgeedge with one AlO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.62 Å. In the second Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two equivalent NaO6 pentagonal pyramids, an edgeedge with one AlO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.62 Å. In the third Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two equivalent NaO6 pentagonal pyramids, an edgeedge with one AlO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.35–2.59 Å. In the fourth Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two equivalent NaO6 pentagonal pyramids, an edgeedge with one AlO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.66 Å. There are four inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There is three shorter (1.76 Å) and one longer (1.77 Å) Al–O bond length. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There is two shorter (1.76 Å) and two longer (1.77 Å) Al–O bond length. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There is two shorter (1.76 Å) and two longer (1.77 Å) Al–O bond length. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two NaO6 pentagonal pyramids, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fifth O site, O is bonded in a 4-coordinate geometry to two Na, one Al, and one Si atom. In the sixth O site, O is bonded in a 2-coordinate geometry to two Na, one Al, and one Si atom. In the seventh O site, O is bonded in a 4-coordinate geometry to two Na, one Al, and one Si atom. In the eighth O site, O is bonded in a 4-coordinate geometry to two Na, one Al, and one Si atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the tenth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twentieth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twenty-first O site, O is bonded in a water-like geometry to two Na atoms. In the twenty-second O site, O is bonded in a water-like geometry to two Na atoms. In the twenty-third O site, O is bonded in a water-like geometry to two Na atoms. In the twenty-fourth O site, O is bonded in a water-like geometry to two Na atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Zn3(SiO4)2 by Materials Project

Na2Zn3(SiO4)2 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 to six O2- atoms to form NaO6 octahedra that share corners with four ZnO4 tetrahedra, corners with six SiO4 tetrahedra, and edges with two ZnO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.27–2.67 Å. In the second Na1+ site, Na1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.44 Å. In the third 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 2.35–2.64 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four ZnO4 tetrahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 89°. There are a spread of Na–O bond distances ranging from 2.20–2.42 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three ZnO4 tetrahedra, corners with six SiO4 tetrahedra, and edges with three ZnO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.35–2.54 Å. In the sixth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.43 Å. There are nine inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two ZnO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 78°. There are a spread of Zn–O bond distances ranging from 1.95–2.03 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two equivalent NaO4 tetrahedra, corners with two ZnO4 tetrahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 86°. There are a spread of Zn–O bond distances ranging from 1.98–2.03 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four ZnO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 84°. There are a spread of Zn–O bond distances ranging from 1.96–2.06 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two ZnO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 79°. There are a spread of Zn–O bond distances ranging from 1.94–2.06 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four ZnO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.96–2.02 Å. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO4 tetrahedra, a cornercorner with one ZnO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.95–2.02 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two ZnO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 78°. There are a spread of Zn–O bond distances ranging from 1.95–2.08 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four ZnO4 tetrahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 83°. There are a spread of Zn–O bond distances ranging from 1.97–2.01 Å. In the ninth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO4 tetrahedra, corners with three ZnO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 79°. There are a spread of Zn–O bond distances ranging from 1.98–2.02 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO6 octahedra and corners with six ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent NaO4 tetrahedra, and corners with six ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four NaO6 octahedra and corners with six ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO4 tetrahedra, and corners with seven ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent NaO6 octahedra, a cornercorner with one NaO4 tetrahedra, and corners with five ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaO6 octahedra and corners with six ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Zn2+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Zn2+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Zn2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zn2+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to two Zn2+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zn2+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to two Zn2+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Zn2+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zn2+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zn2+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+, two Zn2+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Zn2+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zn2+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Zn2+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Zn2+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zn2+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiCo3(SiO4)2 by Materials Project

LiCo3(SiO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.42 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four CoO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.39 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. There are nine inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two CoO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.93–2.02 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four CoO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.96–1.99 Å. In the third Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three CoO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.89–1.99 Å. In the fourth Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with two CoO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.87–2.00 Å. In the fifth Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with four SiO4 tetrahedra, and corners with two equivalent LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.90–2.02 Å. In the sixth Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four CoO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.94–2.03 Å. In the seventh Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four CoO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.96–2.03 Å. In the eighth Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one CoO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the ninth Co+2.33+ site, Co+2.33+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with four SiO4 tetrahedra, and corners with two equivalent LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.91–2.05 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six CoO4 tetrahedra and corners with two equivalent LiO4 trigonal pyramids. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six CoO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six CoO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six CoO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with five CoO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with seven CoO4 tetrahedra. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Co+2.33+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Co+2.33+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to two Co+2.33+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Fe6(SiO4)6 by Materials Project

Li7Fe6(SiO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.65 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three FeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with two FeO4 tetrahedra, corners with two SiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three FeO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.56 Å. There are six inequivalent Fe+2.83+ sites. In the first Fe+2.83+ site, Fe+2.83+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.93–2.13 Å. In the second Fe+2.83+ site, Fe+2.83+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with four SiO4 tetrahedra. There is one shorter (1.90 Å) and three longer (1.91 Å) Fe–O bond length. In the third Fe+2.83+ site, Fe+2.83+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.89–1.94 Å. In the fourth Fe+2.83+ site, Fe+2.83+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with four SiO4 tetrahedra. There is one shorter (1.89 Å) and three longer (1.90 Å) Fe–O bond length. In the fifth Fe+2.83+ site, Fe+2.83+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.88–1.92 Å. In the sixth Fe+2.83+ site, Fe+2.83+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four LiO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.89–1.93 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four FeO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with three FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with three FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO4 tetrahedra and corners with four LiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with four FeO4 tetrahedra. There is one shorter (1.64 Å) and three longer (1.65 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 three LiO4 tetrahedra and corners with three FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.83+, and one Si4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.83+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe+2.83+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.83+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.83+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.83+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFe3(SiO4)2 by Materials Project

LiFe3(SiO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.73 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.36 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.02–2.35 Å. There are nine inequivalent Fe+2.33+ sites. In the first Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.89–1.92 Å. In the second Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two FeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.17 Å. In the third Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three FeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the fourth Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are two shorter (2.00 Å) and two longer (2.02 Å) Fe–O bond lengths. In the fifth Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.14 Å. In the sixth Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the seventh Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form distorted FeO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.10 Å. In the eighth Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one FeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.05 Å. In the ninth Fe+2.33+ site, Fe+2.33+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.02 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with five FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with seven FeO4 tetrahedra. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.33+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.33+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K2Al2(SiO4)3 by Materials Project

K2Al2(SiO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent K sites. In the first K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.71–3.15 Å. In the second K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.70–3.10 Å. In the third K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.71–3.13 Å. In the fourth K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.72–3.09 Å. There are four inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fifth O site, O is bonded in a 2-coordinate geometry to two K, one Al, and one Si atom. In the sixth O site, O is bonded in a 2-coordinate geometry to two K, one Al, and one Si atom. In the seventh O site, O is bonded in a 2-coordinate geometry to two K, one Al, and one Si atom. In the eighth O site, O is bonded in a 2-coordinate geometry to two K, one Al, and one Si atom. In the ninth O site, O is bonded in a 2-coordinate geometry to one K, one Al, and one Si atom. In the tenth O site, O is bonded in a 2-coordinate geometry to one K, one Al, and one Si atom. In the eleventh O site, O is bonded in a 2-coordinate geometry to one K, one Al, and one Si atom. In the twelfth O site, O is bonded in a 2-coordinate geometry to one K, one Al, and one Si atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one K, one Al, and one Si atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one K, one Al, and one Si atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one K, one Al, and one Si atom. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one K, one Al, and one Si atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twentieth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twenty-first O site, O is bonded in a 2-coordinate geometry to two K atoms. In the twenty-second O site, O is bonded in a 2-coordinate geometry to two K atoms. In the twenty-third O site, O is bonded in a 2-coordinate geometry to two K atoms. In the twenty-fourth O site, O is bonded in a 2-coordinate geometry to two K atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaAl2(SiO4)2 by Materials Project

CaAl2Si2O8 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.96 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.92 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.90 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.70 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.79 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.79 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 AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaNa2Al4(SiO4)4 by Materials Project

BaNa2Al4Si4O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four 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 2.38–2.80 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.82 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 2.38–2.81 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 2.38–2.81 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.80–3.04 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.80–3.02 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There is one shorter (1.74 Å) and three longer (1.77 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.77 Å) Al–O bond length. 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 AlO4 tetrahedra. 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 AlO4 tetrahedra. 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 AlO4 tetrahedra. 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 AlO4 tetrahedra. 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 AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There is one shorter (1.62 Å) and three 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 AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ba2+, one Al3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe3(SiO4)2 by Materials Project

Fe3(SiO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Fe+2.67+ sites. In the first Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.01 Å. In the second Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.83–1.99 Å. In the third Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.83–1.96 Å. In the fourth Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.11 Å. In the fifth Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.82–2.02 Å. In the sixth Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the seventh Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.05 Å. In the eighth Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share a cornercorner with one FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.08 Å. In the ninth Fe+2.67+ site, Fe+2.67+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two FeO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.02 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.70 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with five FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.71 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with seven FeO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.67+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to two Fe+2.67+ and one Si4+ atom.

36 MATERIALS SCIENCE↗