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Materials Data on Gd5P12Ru19 by Materials Project

Gd5Ru19P12 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are three inequivalent Gd sites. In the first Gd site, Gd is bonded in a 2-coordinate geometry to ten Ru and six P atoms. There are a spread of Gd–Ru bond distances ranging from 3.04–3.38 Å. There are four shorter (3.06 Å) and two longer (3.11 Å) Gd–P bond lengths. In the second Gd site, Gd is bonded in a 2-coordinate geometry to ten Ru and six P atoms. There are a spread of Gd–Ru bond distances ranging from 3.05–3.37 Å. There are four shorter (3.06 Å) and two longer (3.11 Å) Gd–P bond lengths. In the third Gd site, Gd is bonded in a 6-coordinate geometry to nine Ru and six P atoms. There are four shorter (3.14 Å) and five longer (3.15 Å) Gd–Ru bond lengths. All Gd–P bond lengths are 2.99 Å. There are eleven inequivalent Ru sites. In the first Ru site, Ru is bonded in a distorted single-bond geometry to six Ru and five P atoms. There are two shorter (2.85 Å) and four longer (2.89 Å) Ru–Ru bond lengths. There are a spread of Ru–P bond distances ranging from 2.27–2.82 Å. In the second Ru site, Ru is bonded in a distorted single-bond geometry to six Ru and five P atoms. There are two shorter (2.85 Å) and four longer (2.89 Å) Ru–Ru bond lengths. There are one shorter (2.28 Å) and four longer (2.81 Å) Ru–P bond lengths. In the third Ru site, Ru is bonded in a 12-coordinate geometry to two Gd, four Ru, and four P atoms. There are two shorter (2.83 Å) and two longer (2.84 Å) Ru–Ru bond lengths. There are a spread of Ru–P bond distances ranging from 2.30–2.35 Å. In the fourth Ru site, Ru is bonded in a 12-coordinate geometry to two equivalent Gd, four equivalent Ru, and four P atoms. All Ru–Ru bond lengths are 2.83 Å. There are two shorter (2.30 Å) and two longer (2.35 Å) Ru–P bond lengths. In the fifth Ru site, Ru is bonded in a 12-coordinate geometry to three Gd, five Ru, and four P atoms. Both Ru–Ru bond lengths are 2.83 Å. There are a spread of Ru–P bond distances ranging from 2.37–2.41 Å. In the sixth Ru site, Ru is bonded in a 12-coordinate geometry to three Gd, five Ru, and four P atoms. Both Ru–Ru bond lengths are 2.82 Å. There are a spread of Ru–P bond distances ranging from 2.37–2.41 Å. In the seventh Ru site, Ru is bonded in a 12-coordinate geometry to three Gd, five Ru, and four P atoms. Both Ru–Ru bond lengths are 2.82 Å. There are a spread of Ru–P bond distances ranging from 2.37–2.41 Å. In the eighth Ru site, Ru is bonded in a 12-coordinate geometry to three Gd, five Ru, and four P atoms. The Ru–Ru bond length is 2.73 Å. There are a spread of Ru–P bond distances ranging from 2.31–2.51 Å. In the ninth Ru site, Ru is bonded in a 12-coordinate geometry to three Gd, five Ru, and four P atoms. The Ru–Ru bond length is 2.73 Å. There are a spread of Ru–P bond distances ranging from 2.31–2.52 Å. In the tenth Ru site, Ru is bonded in a 12-coordinate geometry to three Gd, five Ru, and four P atoms. There are a spread of Ru–P bond distances ranging from 2.31–2.52 Å. In the eleventh Ru site, Ru is bonded in a 9-coordinate geometry to six Gd and three P atoms. All Ru–P bond lengths are 2.33 Å. There are seven inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to four Gd and five Ru atoms. In the second P site, P is bonded in a 9-coordinate geometry to four equivalent Gd and five Ru atoms. In the third P site, P is bonded in a 9-coordinate geometry to two equivalent Gd and seven Ru atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to two equivalent Gd and seven Ru atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to two equivalent Gd and seven Ru atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to two equivalent Gd and seven Ru atoms. In the seventh P site, P is bonded in a 9-coordinate geometry to two equivalent Gd and seven Ru atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca8(YbSe4)3 by Materials Project

Ca8(YbSe4)3 crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six Se2- atoms to form CaSe6 octahedra that share corners with five equivalent CaSe6 octahedra, edges with two equivalent YbSe6 octahedra, and edges with ten CaSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.97 Å) and one longer (2.99 Å) Ca–Se bond lengths. In the second Ca2+ site, Ca2+ is bonded to six Se2- atoms to form CaSe6 octahedra that share a cornercorner with one YbSe6 octahedra, corners with five CaSe6 octahedra, and edges with twelve CaSe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are five shorter (2.97 Å) and one longer (2.98 Å) Ca–Se bond lengths. In the third Ca2+ site, Ca2+ is bonded to six Se2- atoms to form CaSe6 octahedra that share a cornercorner with one YbSe6 octahedra, corners with five CaSe6 octahedra, edges with four CaSe6 octahedra, and edges with six YbSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.97 Å) and one longer (3.00 Å) Ca–Se bond lengths. In the fourth Ca2+ site, Ca2+ is bonded to six Se2- atoms to form CaSe6 octahedra that share a cornercorner with one YbSe6 octahedra, corners with five equivalent CaSe6 octahedra, edges with two equivalent YbSe6 octahedra, and edges with ten CaSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.97 Å) and one longer (2.98 Å) Ca–Se bond lengths. There are two inequivalent Yb+2.67+ sites. In the first Yb+2.67+ site, Yb+2.67+ is bonded to six Se2- atoms to form YbSe6 octahedra that share corners with two CaSe6 octahedra, corners with four equivalent YbSe6 octahedra, edges with two equivalent YbSe6 octahedra, and edges with eight CaSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Yb–Se bond distances ranging from 2.96–2.99 Å. In the second Yb+2.67+ site, Yb+2.67+ is bonded to six Se2- atoms to form YbSe6 octahedra that share corners with two equivalent CaSe6 octahedra, corners with four equivalent YbSe6 octahedra, edges with four equivalent CaSe6 octahedra, and edges with four equivalent YbSe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.97 Å) and two longer (2.98 Å) Yb–Se bond lengths. There are seven inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to three Ca2+ and three Yb+2.67+ atoms to form SeCa3Yb3 octahedra that share corners with six SeCa3Yb3 octahedra, edges with four SeCa6 octahedra, and edges with four equivalent SeCa3Yb2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the second Se2- site, Se2- is bonded to six Ca2+ atoms to form SeCa6 octahedra that share corners with five SeCa6 octahedra, edges with ten SeCa3Yb3 octahedra, and edges with two equivalent SeCa3Yb2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the third Se2- site, Se2- is bonded to three Ca2+ and two equivalent Yb+2.67+ atoms to form SeCa3Yb2 square pyramids that share a cornercorner with one SeCa6 octahedra, corners with four equivalent SeCa3Yb2 square pyramids, and edges with eight SeCa3Yb3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth Se2- site, Se2- is bonded to six Ca2+ atoms to form SeCa6 octahedra that share corners with six SeCa3Yb3 octahedra and edges with twelve SeCa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth Se2- site, Se2- is bonded to five Ca2+ and one Yb+2.67+ atom to form SeCa5Yb octahedra that share corners with five SeCa6 octahedra, edges with ten SeCa3Yb3 octahedra, and edges with two equivalent SeCa3Yb2 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the sixth Se2- site, Se2- is bonded to six Ca2+ atoms to form SeCa6 octahedra that share corners with four equivalent SeCa6 octahedra, corners with two equivalent SeCa3Yb2 square pyramids, and edges with twelve SeCa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh Se2- site, Se2- is bonded in a square co-planar geometry to one Ca2+ and three Yb+2.67+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on V6Ga7 by Materials Project

V6Ga7 is gamma-brass-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent V sites. In the first V site, V is bonded in a 12-coordinate geometry to four V and eight Ga atoms. There are a spread of V–V bond distances ranging from 2.57–2.84 Å. There are a spread of V–Ga bond distances ranging from 2.63–2.78 Å. In the second V site, V is bonded in a 12-coordinate geometry to five V and seven Ga atoms. There are a spread of V–V bond distances ranging from 2.61–2.82 Å. There are a spread of V–Ga bond distances ranging from 2.60–2.74 Å. In the third V site, V is bonded in a 12-coordinate geometry to six V and six Ga atoms. There are a spread of V–V bond distances ranging from 2.65–2.74 Å. There are a spread of V–Ga bond distances ranging from 2.57–2.65 Å. In the fourth V site, V is bonded in a 12-coordinate geometry to nine V and three Ga atoms. There are a spread of V–V bond distances ranging from 2.56–2.73 Å. There are two shorter (2.65 Å) and one longer (2.73 Å) V–Ga bond lengths. In the fifth V site, V is bonded in a 12-coordinate geometry to eight V and four Ga atoms. There are a spread of V–V bond distances ranging from 2.60–2.74 Å. There are a spread of V–Ga bond distances ranging from 2.64–2.73 Å. In the sixth V site, V is bonded in a 12-coordinate geometry to seven V and five Ga atoms. The V–V bond length is 2.62 Å. There are two shorter (2.67 Å) and three longer (2.70 Å) V–Ga bond lengths. In the seventh V site, V is bonded in a 1-coordinate geometry to four V and nine Ga atoms. There are a spread of V–Ga bond distances ranging from 2.67–3.12 Å. In the eighth V site, V is bonded in a 2-coordinate geometry to five V and eight Ga atoms. The V–V bond length is 2.82 Å. There are a spread of V–Ga bond distances ranging from 2.64–3.13 Å. In the ninth V site, V is bonded in a 2-coordinate geometry to five V and eight Ga atoms. There are a spread of V–Ga bond distances ranging from 2.61–2.99 Å. There are eight inequivalent Ga sites. In the first Ga site, Ga is bonded in a 11-coordinate geometry to five V and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.68–2.98 Å. In the second Ga site, Ga is bonded in a 11-coordinate geometry to five V and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.79–2.92 Å. In the third Ga site, Ga is bonded in a 7-coordinate geometry to five V and eight Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.66–3.07 Å. In the fourth Ga site, Ga is bonded in a 11-coordinate geometry to six V and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.67–2.78 Å. In the fifth Ga site, Ga is bonded in a 11-coordinate geometry to seven V and four Ga atoms. Both Ga–Ga bond lengths are 2.68 Å. In the sixth Ga site, Ga is bonded in a 11-coordinate geometry to five V and six Ga atoms. The Ga–Ga bond length is 2.81 Å. In the seventh Ga site, Ga is bonded in a 11-coordinate geometry to six V and five Ga atoms. The Ga–Ga bond length is 2.68 Å. In the eighth Ga site, Ga is bonded in a 11-coordinate geometry to six V and five Ga atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Cs15W7N19 by Materials Project

Cs15W7N19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are sixteen inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 2.92–3.45 Å. In the second Cs1+ site, Cs1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 2.95–3.56 Å. In the third Cs1+ site, Cs1+ is bonded in a 3-coordinate geometry to three N3- atoms. There are a spread of Cs–N bond distances ranging from 2.97–3.18 Å. In the fourth Cs1+ site, Cs1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 2.94–3.47 Å. In the fifth Cs1+ site, Cs1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 2.93–3.53 Å. In the sixth Cs1+ site, Cs1+ is bonded in a 3-coordinate geometry to three N3- atoms. There are a spread of Cs–N bond distances ranging from 3.04–3.35 Å. In the seventh Cs1+ site, Cs1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Cs–N bond distances ranging from 3.05–3.50 Å. In the eighth Cs1+ site, Cs1+ is bonded in a 2-coordinate geometry to three N3- atoms. There are a spread of Cs–N bond distances ranging from 2.87–3.33 Å. In the ninth Cs1+ site, Cs1+ is bonded in a 2-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 3.02–3.71 Å. In the tenth Cs1+ site, Cs1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Cs–N bond distances ranging from 3.08–3.60 Å. In the eleventh Cs1+ site, Cs1+ is bonded in a 2-coordinate geometry to six N3- atoms. There are a spread of Cs–N bond distances ranging from 2.86–3.73 Å. In the twelfth Cs1+ site, Cs1+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Cs–N bond distances ranging from 3.09–3.68 Å. In the thirteenth Cs1+ site, Cs1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Cs–N bond distances ranging from 2.99–3.30 Å. In the fourteenth Cs1+ site, Cs1+ is bonded in a 2-coordinate geometry to five N3- atoms. There are a spread of Cs–N bond distances ranging from 2.85–3.61 Å. In the fifteenth Cs1+ site, Cs1+ is bonded in a hexagonal planar geometry to six N3- atoms. There are a spread of Cs–N bond distances ranging from 3.18–3.26 Å. In the sixteenth Cs1+ site, Cs1+ is bonded in a hexagonal planar geometry to six N3- atoms. There are a spread of Cs–N bond distances ranging from 3.15–3.29 Å. There are seven inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.79–1.95 Å. In the second W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.79–1.97 Å. In the third W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.79–1.97 Å. In the fourth W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.82–1.99 Å. In the fifth W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.79–1.96 Å. In the sixth W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.82–2.00 Å. In the seventh W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There is two shorter (1.83 Å) and two longer (1.99 Å) W–N bond length. There are nineteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a 1-coordinate geometry to five Cs1+ and one W6+ atom. In the second N3- site, N3- is bonded in a 2-coordinate geometry to two Cs1+ and two W6+ atoms. In the third N3- site, N3- is bonded in a 1-coordinate geometry to five Cs1+ and one W6+ atom. In the fourth N3- site, N3- is bonded in a 2-coordinate geometry to three Cs1+ and two W6+ atoms. In the fifth N3- site, N3- is bonded in a 2-coordinate geometry to four Cs1+ and two W6+ atoms. In the sixth N3- site, N3- is bonded in a 5-coordinate geometry to four Cs1+ and one W6+ atom. In the seventh N3- site, N3- is bonded in a 1-coordinate geometry to four Cs1+ and one W6+ atom. In the eighth N3- site, N3- is bonded in a 2-coordinate geometry to four Cs1+ and two W6+ atoms. In the ninth N3- site, N3- is bonded in a 1-coordinate geometry to five Cs1+ and one W6+ atom. In the tenth N3- site, N3- is bonded in a 1-coordinate geometry to five Cs1+ and one W6+ atom. In the eleventh N3- site, N3- is bonded in a 2-coordinate geometry to four Cs1+ and two W6+ atoms. In the twelfth N3- site, N3- is bonded in a 4-coordinate geometry to four Cs1+ and one W6+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Cs1+ and two W6+ atoms. In the fourteenth N3- site, N3- is bonded in a distorted linear geometry to four Cs1+ and two W6+ atoms. In the fifteenth N3- site, N3- is bonded in a 1-coordinate geometry to four Cs1+ and one W6+ atom. In the sixteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Cs1+ and two W6+ atoms. In the seventeenth N3- site, N3- is bonded in a 2-coordinate geometry to two Cs1+ and two W6+ atoms. In the eighteenth N3- site, N3- is bonded in a 1-coordinate geometry to five Cs1+ and one W6+ atom. In the nineteenth N3- site, N3- is bonded in a 1-coordinate geometry to four Cs1+ and one W6+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg5Si6 by Materials Project

Mg5Si6 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.74–2.92 Å. In the second Mg site, Mg is bonded in a 3-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.81–3.06 Å. In the third Mg site, Mg is bonded in a 9-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.80–3.17 Å. In the fourth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.69–3.06 Å. In the fifth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–2.92 Å. In the sixth Mg site, Mg is bonded in a 7-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.26 Å. In the seventh Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.81–3.04 Å. In the eighth Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.85–3.11 Å. In the ninth Mg site, Mg is bonded in a 12-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.77–3.10 Å. In the tenth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.00 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.44–2.72 Å. In the second Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.45 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.41–2.57 Å. In the fourth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.54 Å) and one longer (2.75 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 7-coordinate geometry to two equivalent Mg and five Si atoms. There are a spread of Si–Si bond distances ranging from 2.47–2.66 Å. In the sixth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.45–2.67 Å. In the seventh Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. The Si–Si bond length is 2.43 Å. In the eighth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. The Si–Si bond length is 2.58 Å. In the ninth Si site, Si is bonded in a 2-coordinate geometry to three Mg and five Si atoms. The Si–Si bond length is 2.56 Å. In the tenth Si site, Si is bonded in a 10-coordinate geometry to six Mg and four Si atoms. The Si–Si bond length is 2.56 Å. In the eleventh Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. In the twelfth Si site, Si is bonded in a 6-coordinate geometry to five Mg and two Si atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on La2In11Ni15 by Materials Project

La2Ni15In11 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. La is bonded in a 6-coordinate geometry to five Ni and eleven In atoms. There are a spread of La–Ni bond distances ranging from 3.22–3.41 Å. There are a spread of La–In bond distances ranging from 3.36–3.60 Å. There are eleven inequivalent Ni sites. In the first Ni site, Ni is bonded in a 10-coordinate geometry to four Ni and six In atoms. There are a spread of Ni–Ni bond distances ranging from 2.52–2.79 Å. There are a spread of Ni–In bond distances ranging from 2.63–2.84 Å. In the second Ni site, Ni is bonded in a 12-coordinate geometry to four Ni and six In atoms. There are a spread of Ni–Ni bond distances ranging from 2.52–2.74 Å. There are a spread of Ni–In bond distances ranging from 2.65–2.84 Å. In the third Ni site, Ni is bonded in a 10-coordinate geometry to four Ni and six In atoms. There are a spread of Ni–Ni bond distances ranging from 2.45–2.75 Å. There are a spread of Ni–In bond distances ranging from 2.65–2.79 Å. In the fourth Ni site, Ni is bonded in a 10-coordinate geometry to three Ni and seven In atoms. There are one shorter (2.50 Å) and two longer (2.71 Å) Ni–Ni bond lengths. There are a spread of Ni–In bond distances ranging from 2.70–2.95 Å. In the fifth Ni site, Ni is bonded in a cuboctahedral geometry to six Ni and six In atoms. There are two shorter (2.51 Å) and two longer (2.52 Å) Ni–Ni bond lengths. There are two shorter (2.63 Å) and four longer (2.85 Å) Ni–In bond lengths. In the sixth Ni site, Ni is bonded in a cuboctahedral geometry to seven Ni and five In atoms. There are a spread of Ni–Ni bond distances ranging from 2.46–2.54 Å. There are a spread of Ni–In bond distances ranging from 2.77–2.89 Å. In the seventh Ni site, Ni is bonded in a 1-coordinate geometry to two equivalent La, six Ni, and five In atoms. Both Ni–Ni bond lengths are 2.64 Å. There are a spread of Ni–In bond distances ranging from 2.86–2.93 Å. In the eighth Ni site, Ni is bonded in a 11-coordinate geometry to one La, five Ni, and five In atoms. There are a spread of Ni–Ni bond distances ranging from 2.54–2.78 Å. There are a spread of Ni–In bond distances ranging from 2.64–2.79 Å. In the ninth Ni site, Ni is bonded in a 11-coordinate geometry to one La, six Ni, and four In atoms. There are one shorter (2.56 Å) and one longer (2.84 Å) Ni–Ni bond lengths. There are one shorter (2.59 Å) and three longer (2.61 Å) Ni–In bond lengths. In the tenth Ni site, Ni is bonded in a 11-coordinate geometry to one La, five Ni, and five In atoms. The Ni–Ni bond length is 2.60 Å. There are a spread of Ni–In bond distances ranging from 2.62–2.71 Å. In the eleventh Ni site, Ni is bonded in a 11-coordinate geometry to one La, five Ni, and five In atoms. There are a spread of Ni–In bond distances ranging from 2.59–2.73 Å. There are seven inequivalent In sites. In the first In site, In is bonded in a 9-coordinate geometry to two equivalent La, eight Ni, and one In atom. The In–In bond length is 3.09 Å. In the second In site, In is bonded in a 6-coordinate geometry to two equivalent La, seven Ni, and two In atoms. There are one shorter (3.05 Å) and one longer (3.08 Å) In–In bond lengths. In the third In site, In is bonded in a 6-coordinate geometry to two equivalent La, eight Ni, and one In atom. The In–In bond length is 3.03 Å. In the fourth In site, In is bonded in a 6-coordinate geometry to two equivalent La, seven Ni, and two In atoms. There are one shorter (3.00 Å) and one longer (3.08 Å) In–In bond lengths. In the fifth In site, In is bonded in a 2-coordinate geometry to two equivalent La, seven Ni, and four In atoms. In the sixth In site, In is bonded in a 9-coordinate geometry to two equivalent La, six Ni, and five In atoms. The In–In bond length is 2.92 Å. In the seventh In site, In is bonded in a 9-coordinate geometry to two equivalent La, six Ni, and five In atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaMg30BO31 by Materials Project

NaMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na is bonded to six O atoms to form NaO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Na–O bond distances ranging from 2.20–2.34 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a T-shaped geometry to three O atoms. There are two shorter (1.98 Å) and one longer (2.10 Å) Mg–O bond lengths. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.03–2.21 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are four shorter (2.11 Å) and one longer (2.17 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.08–2.18 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 2°. There are a spread of Mg–O bond distances ranging from 1.97–2.22 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, edges with seven MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–34°. There are a spread of Mg–O bond distances ranging from 2.05–2.33 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.19 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mg–O bond distances ranging from 2.05–2.28 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 4–35°. There are a spread of Mg–O bond distances ranging from 1.98–2.32 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.06–2.22 Å. B is bonded in a distorted trigonal planar geometry to three O atoms. There is two shorter (1.46 Å) and one longer (1.47 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Na and five Mg atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four ONaMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the third O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with three OMg5B octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four ONaMg5 octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four OMg6 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with eight ONaMg5 octahedra, and edges with two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten ONaMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–92°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four OMg6 octahedra, edges with ten ONaMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O site, O is bonded in a 1-coordinate geometry to four Mg and one B atom. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiHfMg30O31 by Materials Project

LiMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are one shorter (2.12 Å) and four longer (2.20 Å) Li–O bond lengths. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent LiO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the third Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.13 Å) and three longer (2.14 Å) Mg–O bond lengths. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.07–2.21 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four MgO5 square pyramids, an edgeedge with one HfO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.21 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are one shorter (2.13 Å) and five longer (2.14 Å) Mg–O bond lengths. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.07–2.20 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the thirteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent LiO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four longer (2.18 Å) Hf–O bond lengths. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O site, O is bonded to one Li and five Mg atoms to form OLiMg5 octahedra that share corners with four OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O site, O is bonded to one Li, four Mg, and one Hf atom to form OLiHfMg4 octahedra that share corners with six OMg6 octahedra and edges with eleven OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O site, O is bonded to one Li and five Mg atoms to form OLiMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KMg30BO31 by Materials Project

KMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K is bonded to six O atoms to form KO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of K–O bond distances ranging from 2.32–2.42 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a T-shaped geometry to three O atoms. There are two shorter (1.92 Å) and one longer (2.13 Å) Mg–O bond lengths. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.95–2.25 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.95–2.23 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 2°. There are a spread of Mg–O bond distances ranging from 1.97–2.23 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, edges with seven MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–33°. There are a spread of Mg–O bond distances ranging from 2.03–2.31 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, an edgeedge with one KO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Mg–O bond distances ranging from 2.12–2.24 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mg–O bond distances ranging from 2.05–2.29 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–35°. There are a spread of Mg–O bond distances ranging from 1.99–2.36 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.14–2.19 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.07–2.24 Å. B is bonded in a distorted trigonal planar geometry to three O atoms. There is two shorter (1.45 Å) and one longer (1.47 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to one K and five Mg atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. In the third O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with three OMg5B octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth O site, O is bonded to one K and five Mg atoms to form OKMg5 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four OMg6 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with eight OKMg5 octahedra, and edges with two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OKMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 2–7°. In the tenth O site, O is bonded to one K and five Mg atoms to form distorted OKMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 4–93°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the thirteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the fourteenth O site, O is bonded to one K and five Mg atoms to form OKMg5 octahedra that share corners with four OMg6 octahedra, edges with ten OKMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O site, O is bonded in a distorted single-bond geometry to four Mg and one B atom. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on FeNi35S32 by Materials Project

FeNi35S32 crystallizes in the orthorhombic I222 space group. The structure is three-dimensional. Fe2+ is bonded to four equivalent S2- atoms to form FeS4 tetrahedra that share corners with four equivalent NiS5 square pyramids, corners with eight NiS5 trigonal bipyramids, and edges with two equivalent NiS4 tetrahedra. All Fe–S bond lengths are 2.15 Å. There are twelve inequivalent Ni+1.77+ sites. In the first Ni+1.77+ site, Ni+1.77+ is bonded to five S2- atoms to form NiS5 square pyramids that share corners with nine NiS4 tetrahedra, a cornercorner with one NiS5 trigonal bipyramid, edges with three NiS5 square pyramids, an edgeedge with one NiS4 tetrahedra, and an edgeedge with one NiS5 trigonal bipyramid. There are a spread of Ni–S bond distances ranging from 2.26–2.32 Å. In the second Ni+1.77+ site, Ni+1.77+ is bonded to five S2- atoms to form NiS5 square pyramids that share a cornercorner with one FeS4 tetrahedra, corners with eight NiS4 tetrahedra, a cornercorner with one NiS5 trigonal bipyramid, edges with three NiS5 square pyramids, an edgeedge with one NiS4 tetrahedra, and an edgeedge with one NiS5 trigonal bipyramid. There are a spread of Ni–S bond distances ranging from 2.26–2.31 Å. In the third Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with four NiS5 square pyramids, corners with four NiS4 tetrahedra, corners with two NiS5 trigonal bipyramids, edges with two NiS5 square pyramids, and an edgeedge with one NiS4 tetrahedra. There are two shorter (2.22 Å) and two longer (2.24 Å) Ni–S bond lengths. In the fourth Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with six NiS5 square pyramids, corners with six NiS4 tetrahedra, and corners with four NiS5 trigonal bipyramids. There are two shorter (2.17 Å) and two longer (2.18 Å) Ni–S bond lengths. In the fifth Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with two equivalent NiS5 square pyramids, corners with four NiS4 tetrahedra, corners with four NiS5 trigonal bipyramids, an edgeedge with one FeS4 tetrahedra, and edges with two equivalent NiS5 trigonal bipyramids. There are two shorter (2.24 Å) and two longer (2.25 Å) Ni–S bond lengths. In the sixth Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with two equivalent NiS5 square pyramids, corners with four NiS4 tetrahedra, corners with four NiS5 trigonal bipyramids, an edgeedge with one NiS4 tetrahedra, and edges with two equivalent NiS5 trigonal bipyramids. There are two shorter (2.25 Å) and two longer (2.26 Å) Ni–S bond lengths. In the seventh Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with two equivalent NiS5 square pyramids, corners with six NiS4 tetrahedra, corners with two equivalent NiS5 trigonal bipyramids, an edgeedge with one NiS4 tetrahedra, and edges with two equivalent NiS5 trigonal bipyramids. There are two shorter (2.21 Å) and two longer (2.25 Å) Ni–S bond lengths. In the eighth Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with two equivalent NiS5 square pyramids, corners with six NiS4 tetrahedra, corners with two equivalent NiS5 trigonal bipyramids, an edgeedge with one NiS4 tetrahedra, and edges with two equivalent NiS5 trigonal bipyramids. There are two shorter (2.21 Å) and two longer (2.25 Å) Ni–S bond lengths. In the ninth Ni+1.77+ site, Ni+1.77+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with four NiS5 square pyramids, corners with four NiS5 trigonal bipyramids, and edges with four NiS4 tetrahedra. All Ni–S bond lengths are 2.22 Å. In the tenth Ni+1.77+ site, Ni+1.77+ is bonded to four equivalent S2- atoms to form NiS4 tetrahedra that share corners with four equivalent NiS5 square pyramids, corners with eight NiS5 trigonal bipyramids, and edges with two equivalent NiS4 tetrahedra. All Ni–S bond lengths are 2.19 Å. In the eleventh Ni+1.77+ site, Ni+1.77+ is bonded to five S2- atoms to form distorted NiS5 trigonal bipyramids that share a cornercorner with one NiS5 square pyramid, a cornercorner with one FeS4 tetrahedra, corners with eight NiS4 tetrahedra, an edgeedge with one NiS5 square pyramid, edges with two NiS4 tetrahedra, and edges with two NiS5 trigonal bipyramids. There are a spread of Ni–S bond distances ranging from 2.25–2.36 Å. In the twelfth Ni+1.77+ site, Ni+1.77+ is bonded to five S2- atoms to form distorted NiS5 trigonal bipyramids that share a cornercorner with one NiS5 square pyramid, a cornercorner with one FeS4 tetrahedra, corners with eight NiS4 tetrahedra, an edgeedge with one NiS5 square pyramid, edges with two NiS4 tetrahedra, and edges with two NiS5 trigonal bipyramids. There are a spread of Ni–S bond distances ranging from 2.22–2.39 Å. There are eight inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted pentagonal planar geometry to five Ni+1.77+ atoms. In the second S2- site, S2- is bonded in a distorted pentagonal planar geometry to five Ni+1.77+ atoms. In the third S2- site, S2- is bonded in a 5-coordinate geometry to five Ni+1.77+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Ni+1.77+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Ni+1.77+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Ni+1.77+ atoms. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to five Ni+1.77+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to one Fe2+ and four Ni+1.77+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg6Si5 by Materials Project

Mg6Si5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five Si+2.40- atoms to form distorted MgSi5 trigonal bipyramids that share corners with five MgSi4 tetrahedra, corners with two equivalent MgSi5 trigonal bipyramids, edges with five MgSi4 tetrahedra, and edges with five MgSi5 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.90–3.04 Å. In the second Mg2+ site, Mg2+ is bonded in a 4-coordinate geometry to seven Si+2.40- atoms. There are a spread of Mg–Si bond distances ranging from 2.71–3.13 Å. In the third Mg2+ site, Mg2+ is bonded in a 7-coordinate geometry to seven Si+2.40- atoms. There are a spread of Mg–Si bond distances ranging from 2.76–3.14 Å. In the fourth Mg2+ site, Mg2+ is bonded in a 7-coordinate geometry to seven Si+2.40- atoms. There are a spread of Mg–Si bond distances ranging from 2.92–3.05 Å. In the fifth Mg2+ site, Mg2+ is bonded to five Si+2.40- atoms to form distorted MgSi5 trigonal bipyramids that share corners with two equivalent MgSi4 tetrahedra, corners with two equivalent MgSi5 trigonal bipyramids, edges with two equivalent MgSi4 tetrahedra, and edges with three MgSi5 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.79–3.03 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 6-coordinate geometry to six Si+2.40- atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.20 Å. In the seventh Mg2+ site, Mg2+ is bonded in a 3-coordinate geometry to five Si+2.40- atoms. There are a spread of Mg–Si bond distances ranging from 2.51–2.94 Å. In the eighth Mg2+ site, Mg2+ is bonded in a 1-coordinate geometry to seven Si+2.40- atoms. There are a spread of Mg–Si bond distances ranging from 2.76–3.18 Å. In the ninth Mg2+ site, Mg2+ is bonded to four Si+2.40- atoms to form MgSi4 tetrahedra that share corners with seven MgSi4 tetrahedra, corners with two equivalent MgSi5 trigonal bipyramids, an edgeedge with one MgSi4 tetrahedra, and edges with five MgSi5 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.69–2.74 Å. In the tenth Mg2+ site, Mg2+ is bonded to four Si+2.40- atoms to form MgSi4 tetrahedra that share corners with four MgSi4 tetrahedra, corners with five MgSi5 trigonal bipyramids, edges with two equivalent MgSi4 tetrahedra, and edges with three MgSi5 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.68–2.77 Å. In the eleventh Mg2+ site, Mg2+ is bonded to five Si+2.40- atoms to form distorted MgSi5 trigonal bipyramids that share corners with seven MgSi4 tetrahedra, edges with four MgSi4 tetrahedra, and edges with four MgSi5 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.80–3.05 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four Si+2.40- atoms to form MgSi4 tetrahedra that share corners with five MgSi4 tetrahedra, corners with seven MgSi5 trigonal bipyramids, edges with three MgSi4 tetrahedra, and edges with three MgSi5 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.67–2.85 Å. There are ten inequivalent Si+2.40- sites. In the first Si+2.40- site, Si+2.40- is bonded in a 2-coordinate geometry to five Mg2+ and three Si+2.40- atoms. There are a spread of Si–Si bond distances ranging from 2.47–2.58 Å. In the second Si+2.40- site, Si+2.40- is bonded in a 7-coordinate geometry to four Mg2+ and three Si+2.40- atoms. There are one shorter (2.29 Å) and one longer (2.43 Å) Si–Si bond lengths. In the third Si+2.40- site, Si+2.40- is bonded in a 9-coordinate geometry to nine Mg2+ atoms. In the fourth Si+2.40- site, Si+2.40- is bonded in a 9-coordinate geometry to eight Mg2+ and one Si+2.40- atom. The Si–Si bond length is 2.44 Å. In the fifth Si+2.40- site, Si+2.40- is bonded in a 9-coordinate geometry to eight Mg2+ and one Si+2.40- atom. The Si–Si bond length is 2.53 Å. In the sixth Si+2.40- site, Si+2.40- is bonded in a 9-coordinate geometry to six Mg2+ and three Si+2.40- atoms. Both Si–Si bond lengths are 2.38 Å. In the seventh Si+2.40- site, Si+2.40- is bonded in a 1-coordinate geometry to six Mg2+ and two equivalent Si+2.40- atoms. In the eighth Si+2.40- site, Si+2.40- is bonded in a 10-coordinate geometry to four Mg2+ and four Si+2.40- atoms. In the ninth Si+2.40- site, Si+2.40- is bonded in a 9-coordinate geometry to nine Mg2+ atoms. In the tenth Si+2.40- site, Si+2.40- is bonded in a 8-coordinate geometry to seven Mg2+ and one Si+2.40- atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li4Zn(PS4)2 by Materials Project

Li4Zn(PS4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.55–2.62 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.53–2.66 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.57–2.59 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.65 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.69 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.50–2.71 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.54–2.65 Å. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.50–2.60 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.42 Å. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with eight LiS4 tetrahedra. There are one shorter (2.38 Å) and three longer (2.40 Å) Li–S bond lengths. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.45 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.36–2.44 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are one shorter (2.36 Å) and three longer (2.41 Å) Li–S bond lengths. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.46 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.46 Å. In the sixteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.44 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.47 Å. In the eighteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.45 Å. In the nineteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.44 Å. In the twenty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.45 Å. In the twenty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.42 Å. In the twenty-third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.47 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.50 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.44–2.53 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.47 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are one shorter (2.44 Å) and three longer (2.45 Å) Li–S bond lengths. In the twenty-ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.49 Å. In the thirtieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.47 Å. In the thirty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.49 Å. In the thirty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.49 Å. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.42 Å. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.32–2.40 Å. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.36 Å) and one longer (2.40 Å) Zn–S bond lengths. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.36 Å) and one longer (2.39 Å) Zn–S bond lengths. In the eighth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.38 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with ten LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.12 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with ten LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.04–2.10 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.11 Å. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with nine LiS4 tetrahedra. There are one shorter (2.02 Å) and three longer (2.07 Å) P–S bond lengths. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetra

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf(TlS)4 by Materials Project

Hf(TlS)4 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to six S2- atoms to form HfS6 octahedra that share corners with two TlS5 square pyramids, edges with two HfS6 octahedra, and edges with five TlS5 square pyramids. There are a spread of Hf–S bond distances ranging from 2.52–2.63 Å. In the second Hf4+ site, Hf4+ is bonded to six S2- atoms to form HfS6 octahedra that share corners with three TlS5 square pyramids, edges with two HfS6 octahedra, and edges with three TlS5 square pyramids. There are a spread of Hf–S bond distances ranging from 2.51–2.66 Å. In the third Hf4+ site, Hf4+ is bonded to six S2- atoms to form HfS6 octahedra that share corners with two equivalent TlS5 square pyramids, edges with two equivalent HfS6 octahedra, and edges with two equivalent TlS5 square pyramids. There are two shorter (2.57 Å) and four longer (2.59 Å) Hf–S bond lengths. There are ten inequivalent Tl1+ sites. In the first Tl1+ site, Tl1+ is bonded to five S2- atoms to form distorted TlS5 square pyramids that share corners with two equivalent HfS6 octahedra, edges with three HfS6 octahedra, and an edgeedge with one TlS5 square pyramid. The corner-sharing octahedra tilt angles range from 15–19°. There are a spread of Tl–S bond distances ranging from 2.88–3.41 Å. In the second Tl1+ site, Tl1+ is bonded to five S2- atoms to form distorted TlS5 square pyramids that share corners with two HfS6 octahedra, corners with two equivalent TlS5 square pyramids, edges with three HfS6 octahedra, and edges with two TlS5 square pyramids. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Tl–S bond distances ranging from 2.96–3.45 Å. In the third Tl1+ site, Tl1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.89–3.25 Å. In the fourth Tl1+ site, Tl1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Tl–S bond distances ranging from 2.92–3.50 Å. In the fifth Tl1+ site, Tl1+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.92–3.46 Å. In the sixth Tl1+ site, Tl1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.92–3.49 Å. In the seventh Tl1+ site, Tl1+ is bonded to five S2- atoms to form distorted TlS5 square pyramids that share corners with two HfS6 octahedra, corners with two equivalent TlS5 square pyramids, edges with three HfS6 octahedra, and edges with two TlS5 square pyramids. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Tl–S bond distances ranging from 2.88–3.37 Å. In the eighth Tl1+ site, Tl1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.89–3.28 Å. In the ninth Tl1+ site, Tl1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.89–3.45 Å. In the tenth Tl1+ site, Tl1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Tl–S bond distances ranging from 2.93–3.43 Å. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to one Hf4+ and five Tl1+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to two equivalent Hf4+ and four Tl1+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to two Hf4+ and four Tl1+ atoms. In the fourth S2- site, S2- is bonded to two Hf4+ and four Tl1+ atoms to form distorted corner-sharing SHf2Tl4 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to one Hf4+ and five Tl1+ atoms. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to two Hf4+ and four Tl1+ atoms. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to one Hf4+ and five Tl1+ atoms. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to one Hf4+ and five Tl1+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to one Hf4+ and five Tl1+ atoms. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to two Hf4+ and four Tl1+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg9Si5 by Materials Project

Mg9Si5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 4-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.15 Å. In the second Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.97 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–3.02 Å. In the fourth Mg site, Mg is bonded to four Si atoms to form a mixture of distorted edge and corner-sharing MgSi4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.66–2.78 Å. In the fifth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–2.97 Å. In the sixth Mg site, Mg is bonded to four Si atoms to form a mixture of distorted edge and corner-sharing MgSi4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.72–2.87 Å. In the seventh Mg site, Mg is bonded in a 3-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.98–3.27 Å. In the eighth Mg site, Mg is bonded to four Si atoms to form a mixture of distorted edge and corner-sharing MgSi4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.69–2.83 Å. In the ninth Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.77–3.05 Å. In the tenth Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.06 Å. In the eleventh Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–2.87 Å. In the twelfth Mg site, Mg is bonded to four Si atoms to form a mixture of distorted edge and corner-sharing MgSi4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.72–2.79 Å. In the thirteenth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–2.87 Å. In the fourteenth Mg site, Mg is bonded to four Si atoms to form a mixture of distorted edge and corner-sharing MgSi4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.75–2.84 Å. In the fifteenth Mg site, Mg is bonded in a 4-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–3.19 Å. In the sixteenth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–2.96 Å. In the seventeenth Mg site, Mg is bonded in a 4-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.17 Å. In the eighteenth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.97 Å. There are ten inequivalent Si sites. In the first Si site, Si is bonded in a 10-coordinate geometry to nine Mg and one Si atom. The Si–Si bond length is 2.75 Å. In the second Si site, Si is bonded in a 10-coordinate geometry to eight Mg and two Si atoms. There are one shorter (2.41 Å) and one longer (2.63 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 10-coordinate geometry to nine Mg and one Si atom. The Si–Si bond length is 2.84 Å. In the fourth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. In the fifth Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom. In the sixth Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the seventh Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the eighth Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the ninth Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the tenth Si site, Si is bonded in a 8-coordinate geometry to seven Mg and one Si atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr6Yb4(CdSb2)5 by Materials Project

Sr6Yb4(CdSb2)5 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with seven YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.35–3.87 Å. In the second Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with three YbSb5 square pyramids, corners with four equivalent SrSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one SrSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.31–3.86 Å. In the third Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with three YbSb5 square pyramids, corners with four equivalent SrSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one SrSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.32–3.86 Å. In the fourth Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with seven YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.36–3.87 Å. In the fifth Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with seven YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.36–3.87 Å. In the sixth Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with seven YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.36–3.87 Å. In the seventh Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with two equivalent SrSb5 square pyramids, corners with five YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one SrSb5 square pyramid. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Sr–Sb bond distances ranging from 3.35–3.93 Å. In the eighth Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form distorted SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with three SrSb5 square pyramids, corners with four equivalent YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one SrSb5 square pyramid. The corner-sharing octahedra tilt angles range from 13–14°. There are a spread of Sr–Sb bond distances ranging from 3.34–3.94 Å. In the ninth Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, a cornercorner with one SrSb5 square pyramid, corners with six YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of Sr–Sb bond distances ranging from 3.35–3.87 Å. In the tenth Sr2+ site, Sr2+ is bonded to six Sb3- atoms to form SrSb6 octahedra that share corners with two SrSb6 octahedra, corners with seven YbSb5 square pyramids, corners with six CdSb4 tetrahedra, edges with six SrSb6 octahedra, an edgeedge with one YbSb5 square pyramid, edges with three CdSb4 tetrahedra, and a faceface with one YbSb5 square pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–Sb bond distances ranging from 3.36–3.87 Å. In the eleventh Sr2+ site, Sr2+ is bonded to five Sb3- atoms to form SrSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with two equivalent SrSb5 square pyramids, edges with two YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 36–55°. There are a spread of Sr–Sb bond distances ranging from 3.26–3.30 Å. In the twelfth Sr2+ site, Sr2+ is bonded to five Sb3- atoms to form SrSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with two equivalent SrSb5 square pyramids, edges with two YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 36–55°. There are a spread of Sr–Sb bond distances ranging from 3.26–3.30 Å. There are eight inequivalent Yb2+ sites. In the first Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with four YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are one shorter (3.18 Å) and four longer (3.25 Å) Yb–Sb bond lengths. In the second Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with two equivalent SrSb5 square pyramids, corners with two equivalent YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, an edgeedge with one SrSb5 square pyramid, edges with three YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 34–54°. There are a spread of Yb–Sb bond distances ranging from 3.19–3.24 Å. In the third Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four SrSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with two SrSb5 square pyramids, edges with two equivalent YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of Yb–Sb bond distances ranging from 3.17–3.24 Å. In the fourth Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with two equivalent SrSb5 square pyramids, corners with two equivalent YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, an edgeedge with one SrSb5 square pyramid, edges with three YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of Yb–Sb bond distances ranging from 3.16–3.25 Å. In the fifth Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with four YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are one shorter (3.18 Å) and four longer (3.25 Å) Yb–Sb bond lengths. In the sixth Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with four YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are one shorter (3.18 Å) and four longer (3.25 Å) Yb–Sb bond lengths. In the seventh Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with four YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are one shorter (3.17 Å) and four longer (3.25 Å) Yb–Sb bond lengths. In the eighth Yb2+ site, Yb2+ is bonded to five Sb3- atoms to form YbSb5 square pyramids that share corners with seven SrSb6 octahedra, corners with four YbSb5 square pyramids, corners with two equivalent CdSb4 tetrahedra, an edgeedge with one SrSb6 octahedra, edges with four YbSb5 square pyramids, edges with four CdSb4 tetrahedra, and a faceface with one SrSb6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are one shorter (3.17 Å) and four longer (3.25 Å) Yb–Sb bond lengths. There are ten inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four Sb3- atoms to form CdSb4 tetrahedra that share corners with six SrSb6 octahedra, corners with two equivalent YbSb5 square pyramids, corners with four CdSb4 tetrahedra, edges with three SrSb6 octahedra, and edges with four YbSb5 square pyramids. The corner-sharing octahedra tilt angles range from 21–69°. There are a spread of Cd–Sb bond distances ranging from 2.88–2.99 Å. In the second Cd2+ site, Cd2+ is bonded to four Sb3- atoms to form CdSb4 tetrahedra that share corners with six SrSb6 octahedra, corners with two equivalent SrSb5 square pyramids, corners with four CdSb4 tetrahedra, edges with three SrSb6 octahedra, and edges with four YbSb5 square pyramids. The corner-sharing octahedra tilt angles range from 21–69°. There are a spread of Cd–Sb bond distances ranging from 2.88–2.99 Å. In the third Cd2+ site, Cd2+ is bonded to four Sb3- atoms to form CdSb4 tetrahedra that share corners with six SrSb6 octahedra, corners with two equivalent SrSb5 square pyramids, corners with four CdSb4 tetrahedra, edges with three SrSb6 octahedra, edges with two equivalent SrSb5 square pyramids, and edges with two equivalent YbSb5 square pyramids. The corner-sharing octahedra til

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li20Si3P3S23Cl by Materials Project

Li20Si3P3S23Cl is Aluminum carbonitride-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to three S2- and one Cl1- atom to form distorted LiS3Cl tetrahedra that share corners with two LiS6 octahedra, a cornercorner with one SiS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with three LiS3Cl tetrahedra, corners with two equivalent LiS4 trigonal pyramids, an edgeedge with one LiS6 octahedra, and an edgeedge with one SiS3Cl tetrahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–S bond distances ranging from 2.39–2.57 Å. The Li–Cl bond length is 2.40 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two LiS6 octahedra, corners with two SiS3Cl tetrahedra, corners with five LiS3Cl tetrahedra, a cornercorner with one LiS4 trigonal pyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–61°. There are a spread of Li–S bond distances ranging from 2.42–2.65 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Li–S bond distances ranging from 2.38–2.56 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Li–S bond distances ranging from 2.35–3.06 Å. In the fifth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent LiS4 tetrahedra, corners with two equivalent PS4 tetrahedra, edges with two PS4 tetrahedra, and edges with four LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.55–2.83 Å. In the sixth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent SiS4 tetrahedra, edges with two PS4 tetrahedra, edges with four LiS3Cl tetrahedra, and edges with two equivalent LiS4 trigonal pyramids. There are a spread of Li–S bond distances ranging from 2.63–2.83 Å. In the seventh Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent LiS3Cl tetrahedra, corners with two equivalent SiS4 tetrahedra, edges with two SiS4 tetrahedra, and edges with two equivalent LiS4 trigonal pyramids. There are a spread of Li–S bond distances ranging from 2.54–2.75 Å. In the eighth Li1+ site, Li1+ is bonded to five S2- and one Cl1- atom to form LiS5Cl octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS3Cl tetrahedra, edges with two SiS3Cl tetrahedra, and edges with four LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.76 Å. The Li–Cl bond length is 2.86 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one SiS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with five LiS4 tetrahedra, edges with two LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.45–2.61 Å. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one SiS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with five LiS4 tetrahedra, edges with two LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.66 Å. In the eleventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Li–S bond distances ranging from 2.40–2.63 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 trigonal pyramids that share a cornercorner with one SiS3Cl tetrahedra, a cornercorner with one PS4 tetrahedra, corners with three LiS3Cl tetrahedra, corners with two equivalent LiS4 trigonal pyramids, edges with two LiS6 octahedra, and an edgeedge with one SiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.44–2.66 Å. There are three inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four S2- atoms to form SiS4 tetrahedra that share corners with four LiS4 tetrahedra and edges with two LiS6 octahedra. There are a spread of Si–S bond distances ranging from 2.12–2.19 Å. In the second Si4+ site, Si4+ is bonded to three S2- and one Cl1- atom to form SiS3Cl tetrahedra that share corners with two equivalent LiS4 tetrahedra, corners with two equivalent LiS4 trigonal pyramids, edges with two LiS6 octahedra, and edges with two equivalent LiS3Cl tetrahedra. All Si–S bond lengths are 2.10 Å. The Si–Cl bond length is 2.29 Å. In the third Si4+ site, Si4+ is bonded to four S2- atoms to form SiS4 tetrahedra that share corners with four LiS6 octahedra, corners with four LiS3Cl tetrahedra, and edges with two equivalent LiS4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of Si–S bond distances ranging from 2.11–2.15 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two equivalent LiS4 trigonal pyramids and edges with two LiS6 octahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with six LiS3Cl tetrahedra, edges with two LiS6 octahedra, and edges with two equivalent LiS4 tetrahedra. There are two shorter (2.04 Å) and two longer (2.09 Å) P–S bond lengths. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS6 octahedra and edges with four LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. There are seventeen inequivalent S2- sites. In the first S2- site, S2- is bonded to five Li1+ and one Si4+ atom to form distorted SLi5Si octahedra that share corners with two equivalent SLi5Si octahedra, a cornercorner with one SLi3Si tetrahedra, a cornercorner with one ClLi3Si trigonal pyramid, an edgeedge with one SLi5Si pentagonal pyramid, and edges with three SLi3P trigonal pyramids. The corner-sharing octahedra tilt angles range from 14–70°. In the second S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing SLi3P trigonal pyramids. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fifth S2- site, S2- is bonded to five Li1+ and one Si4+ atom to form distorted SLi5Si pentagonal pyramids that share corners with two equivalent SLi3P tetrahedra, corners with two equivalent SLi3P trigonal pyramids, and edges with two equivalent SLi5Si octahedra. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one Si4+ atom. In the seventh S2- site, S2- is bonded in a distorted pentagonal planar geometry to four Li1+ and one P5+ atom. In the eighth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form SLi3P trigonal pyramids that share corners with two equivalent SLi5Si pentagonal pyramids, corners with two equivalent SLi3P tetrahedra, a cornercorner with one SLi3P trigonal pyramid, edges with two equivalent SLi5Si octahedra, and an edgeedge with one SLi3P trigonal pyramid. In the ninth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P trigonal pyramids that share corners with two equivalent SLi3P tetrahedra, a cornercorner with one SLi3P trigonal pyramid, edges with two equivalent SLi5Si octahedra, and an edgeedge with one SLi3P trigonal pyramid. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one Si4+ atom. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one Si4+ atom. In the twelfth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one Si4+ atom. In the thirteenth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P tetrahedra that share a cornercorner with one SLi5Si pentagonal pyramid, corners with three SLi3P trigonal pyramids, and an edgeedge with one SLi3P tetrahedra. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the fifteenth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P trigonal pyramids that share corners with two SLi3P trigonal pyramids, corners with two equivalent ClLi3Si trigonal pyramids, and edges with two equivalent SLi5Si octahedra. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Li1+ and one Si4+ atom. In the seventeenth S2- site, S2- is bonded to three Li1+ and one Si4+ atom to form SLi3Si tetrahedra that share corners with two equivalent SLi5Si octahedra and an edgeedge with one ClLi3Si trigonal pyramid. The corner-sharing octahedral tilt angles are 63°. Cl1- is bonded to three Li1+ and one Si4+ atom to form ClLi3Si trigonal pyramids that share corners with two equivalent SLi5Si octahedra, corners with two equivalent SLi3P trigonal pyramids, and an edgeedge with one SLi3Si tetrahedra. The corner-sharing octahedral tilt angles are 71°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3CrPCO7 by Materials Project

Li3CrCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 1.88–2.16 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 1.89–2.30 Å. In the third 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 1.99–2.63 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with three PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the fifth 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 2.08–2.37 Å. In the sixth 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 2.02–2.35 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 68–86°. There are a spread of Li–O bond distances ranging from 2.11–2.40 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 69–88°. There are a spread of Li–O bond distances ranging from 2.10–2.49 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 89°. There are a spread of Li–O bond distances ranging from 2.07–2.47 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 88°. There are a spread of Li–O bond distances ranging from 2.09–2.42 Å. In the eleventh 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 1.91–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.67 Å. There are four inequivalent Cr2+ sites. In the first Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with two CrO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–74°. There are a spread of Cr–O bond distances ranging from 2.07–2.66 Å. In the second Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 74°. There are a spread of Cr–O bond distances ranging from 2.04–2.53 Å. In the third Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 70°. There are a spread of Cr–O bond distances ranging from 2.04–2.53 Å. In the fourth Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, corners with three LiO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.05–2.50 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.34 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.32 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.32 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five CrO6 octahedra and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 44–69°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and corners with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–65°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and corners with five LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr2+, and one C4+ atom. In the second O2- site, O2- is bonded to two Li1+, one Cr2+, and one C4+ atom to form distorted corner-sharing OLi2CrC tetrahedra. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr2+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cr2+, and one C4+ atom. In the fifth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form a mixture of distorted edge and corner-sharing OLi3C tetrahedra. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Li1+ and one C4+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2CrP trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2CrP trigonal pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cr2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted OLi2CrP tetrahedra that share corners with three OLi2CrP trigonal pyramids and an edgeedge with one OLi3C tetrahedra. In the fifteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted OLi2CrP tetrahedra that share corners with four OLi2CrP trigonal pyramids and an edgeedge with one OLi3C tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form OLi3P tetrahedra that share corners with four OLi2CrP trigonal pyramids and an edgeedge with one OLi3C tetrahedra. In the eighteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2CrP trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2CrP trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2CrP trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Cr2+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form a mixture of distorted edge and corner-sharing OLi3C tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded to three Li1+ and one C4+ atom to form distorted OLi3C tetrahedra that share corners with four OLi2CrP trigonal pyramids and an edgeedge with one OLi3P tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbHfMg30O31 by Materials Project

RbMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb is bonded to six O atoms to form RbO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Rb–O bond distances ranging from 2.39–2.43 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.91–2.23 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.90–2.23 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one HfO5 square pyramid, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mg–O bond distances ranging from 2.08–2.28 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.15–2.19 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Mg–O bond distances ranging from 2.06–2.36 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are four shorter (2.15 Å) and two longer (2.19 Å) Mg–O bond lengths. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–9°. There are one shorter (2.10 Å) and five longer (2.17 Å) Mg–O bond lengths. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.12–2.21 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 Å. Hf is bonded to five O atoms to form distorted HfO5 square pyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Hf–O bond distances ranging from 1.97–2.37 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Rb and five Mg atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with four ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O site, O is bonded to one Rb, four Mg, and one Hf atom to form ORbHfMg4 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗