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Materials Data on CrN2 by Materials Project

CrN2 is High (Orthorhombic) Tridymite-like structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is one shorter (1.72 Å) and three longer (1.73 Å) Cr–N bond length. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is three shorter (1.73 Å) and one longer (1.74 Å) Cr–N bond length. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. All Cr–N bond lengths are 1.73 Å. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.72–1.75 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. All Cr–N bond lengths are 1.73 Å. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. There are eighteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the second N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the third N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the fourth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fifth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the sixth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the seventh N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eighth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the tenth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the eleventh N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the twelfth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the thirteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fourteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fifteenth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the sixteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the seventeenth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the eighteenth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg30CrSiO32 by Materials Project

Mg30CrSiO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight 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 MgO6 octahedra, corners with two equivalent CrO6 octahedra, corners with two equivalent SiO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.07 Å) and two longer (2.16 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 SiO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.05 Å) and four longer (2.16 Å) Mg–O bond lengths. In the third 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 a spread of Mg–O bond distances ranging from 2.11–2.15 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.14 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 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 octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 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 SiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.22 Å) Cr–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Si–O bond lengths are 2.22 Å. There are twelve inequivalent O sites. In the first O site, O is bonded to five Mg and one Si atom to form a mixture of corner and edge-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O site, O is bonded to five Mg and one Si atom to form a mixture of corner and edge-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O site, O is bonded to five Mg and one Si atom to form a mixture of corner and edge-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.14 Å) and two longer (2.15 Å) O–Mg bond lengths. In the seventh O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. The O–Mg bond length is 2.07 Å. In the eighth O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of O–Mg bond distances ranging from 2.07–2.14 Å. In the ninth 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 tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.13 Å. In the twelfth O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on K15Cr7N19 by Materials Project

K15Cr7N19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are sixteen inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.70–2.96 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.72–3.15 Å. In the third K1+ site, K1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of K–N bond distances ranging from 2.70–3.15 Å. In the fourth K1+ site, K1+ is bonded in a 1-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.64–3.09 Å. In the fifth K1+ site, K1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of K–N bond distances ranging from 2.68–2.87 Å. In the sixth K1+ site, K1+ is bonded in a 3-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.77–3.40 Å. In the seventh K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.68–2.98 Å. In the eighth K1+ site, K1+ is bonded in a 4-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.64–3.17 Å. In the ninth K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.81–3.10 Å. In the tenth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of K–N bond distances ranging from 2.74–3.34 Å. In the eleventh K1+ site, K1+ is bonded in a 4-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.62–3.28 Å. In the twelfth K1+ site, K1+ is bonded in a 6-coordinate geometry to seven N3- atoms. There are a spread of K–N bond distances ranging from 2.77–3.31 Å. In the thirteenth K1+ site, K1+ is bonded in a 3-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.64–3.19 Å. In the fourteenth K1+ site, K1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.56–3.08 Å. In the fifteenth K1+ site, K1+ is bonded in a hexagonal planar geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.84–3.03 Å. In the sixteenth K1+ site, K1+ is bonded in a hexagonal planar geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.83–3.05 Å. There are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.65–1.81 Å. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.66–1.85 Å. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.66–1.84 Å. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.85 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.65–1.85 Å. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.88 Å. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.69–1.86 Å. There are nineteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted single-bond geometry to five K1+ and one Cr6+ atom. In the second N3- site, N3- is bonded in a distorted linear geometry to three K1+ and two Cr6+ atoms. In the third N3- site, N3- is bonded in a distorted single-bond geometry to five K1+ and one Cr6+ atom. In the fourth N3- site, N3- is bonded in a 2-coordinate geometry to three K1+ and two Cr6+ atoms. In the fifth N3- site, N3- is bonded in a distorted bent 150 degrees geometry to four K1+ and two Cr6+ atoms. In the sixth N3- site, N3- is bonded in a distorted single-bond geometry to four K1+ and one Cr6+ atom. In the seventh N3- site, N3- is bonded in a distorted single-bond geometry to six K1+ and one Cr6+ atom. In the eighth N3- site, N3- is bonded in a 2-coordinate geometry to four K1+ and two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a distorted single-bond geometry to six K1+ and one Cr6+ atom. In the tenth N3- site, N3- is bonded in a 1-coordinate geometry to five K1+ and one Cr6+ atom. In the eleventh N3- site, N3- is bonded in a distorted bent 150 degrees geometry to four K1+ and two Cr6+ atoms. In the twelfth N3- site, N3- is bonded in a 1-coordinate geometry to four K1+ and one Cr6+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to four K1+ and two Cr6+ atoms. In the fourteenth N3- site, N3- is bonded in a 2-coordinate geometry to four K1+ and two Cr6+ atoms. In the fifteenth N3- site, N3- is bonded in a distorted single-bond geometry to five K1+ and one Cr6+ atom. In the sixteenth N3- site, N3- is bonded in a 2-coordinate geometry to four K1+ and two Cr6+ atoms. In the seventeenth N3- site, N3- is bonded in a distorted bent 150 degrees geometry to four K1+ and two Cr6+ atoms. In the eighteenth N3- site, N3- is bonded in a 1-coordinate geometry to six K1+ and one Cr6+ atom. In the nineteenth N3- site, N3- is bonded in a distorted single-bond geometry to four K1+ and one Cr6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on YMg14CrO16 by Materials Project

Mg14YCrO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four 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 MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent CrO6 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 2.06–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.06–2.30 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.17–2.20 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.12–2.26 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.17 Å) and four longer (2.25 Å) Y–O bond lengths. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.17 Å) and four longer (2.30 Å) Cr–O bond lengths. There are nine inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form a mixture of corner and edge-sharing OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.18 Å. In the third O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.12 Å) and two longer (2.18 Å) O–Mg bond lengths. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O site, O is bonded to four equivalent Mg and two equivalent Y atoms to form OY2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to four equivalent Mg and two equivalent Cr atoms to form OMg4Cr2 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The O–Mg bond length is 2.06 Å. In the ninth O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of O–Mg bond distances ranging from 2.06–2.18 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg6CrC by Materials Project

Mg6CrC crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a 2-coordinate geometry to eight Mg, two equivalent Cr, and one C atom. There are a spread of Mg–Mg bond distances ranging from 2.92–3.09 Å. There are one shorter (3.02 Å) and one longer (3.06 Å) Mg–Cr bond lengths. The Mg–C bond length is 2.95 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg, two equivalent Cr, and two equivalent C atoms. There are a spread of Mg–Mg bond distances ranging from 2.86–3.22 Å. Both Mg–Cr bond lengths are 2.93 Å. Both Mg–C bond lengths are 2.89 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Cr atoms to form a mixture of distorted corner and face-sharing MgMg10Cr2 cuboctahedra. Both Mg–Mg bond lengths are 3.09 Å. Both Mg–Cr bond lengths are 2.87 Å. In the fourth Mg site, Mg is bonded in a distorted bent 120 degrees geometry to ten Mg and two equivalent C atoms. Both Mg–C bond lengths are 2.79 Å. Cr is bonded in a distorted q6 geometry to ten Mg atoms. C is bonded in a 2-coordinate geometry to eight Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg30AlCrO32 by Materials Project

Mg30CrAlO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight 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 MgO6 octahedra, corners with two equivalent CrO6 octahedra, corners with two equivalent AlO6 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 1.98–2.29 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.25 Å) Mg–O bond lengths. In the third 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 a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.00 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 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 octahedra tilt angles range from 1–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 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 AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.27 Å) and four longer (2.29 Å) Cr–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.98 Å) and two longer (2.01 Å) Al–O bond length. There are twelve inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form a mixture of corner and edge-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifth O site, O is bonded to five Mg and one Al atom to form a mixture of corner and edge-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixth O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. The O–Mg bond length is 1.98 Å. In the seventh O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of O–Mg bond distances ranging from 1.98–2.14 Å. In the eighth 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 ninth 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°. There are two shorter (2.13 Å) and two longer (2.15 Å) O–Mg bond lengths. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. Both O–Mg bond lengths are 2.14 Å. In the twelfth O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg14AlCrO16 by Materials Project

Mg14CrAlO16 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four 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 MgO6 octahedra, corners with two equivalent CrO6 octahedra, corners with two equivalent AlO6 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 1.99–2.34 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are three shorter (2.14 Å) and three longer (2.15 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.14 Å) and four longer (2.31 Å) Cr–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.95 Å) and two longer (2.14 Å) Al–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are two shorter (2.15 Å) and one longer (2.34 Å) O–Mg bond lengths. In the second O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. Both O–Mg bond lengths are 2.14 Å. In the third O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifth O site, O is bonded to four equivalent Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to four equivalent Mg and two equivalent Cr atoms to form OMg4Cr2 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to five Mg and one Al atom to form a mixture of edge and corner-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the ninth O site, O is bonded to five Mg and one Cr atom to form a mixture of edge and corner-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–10°. The O–Mg bond length is 1.99 Å. In the tenth O site, O is bonded to five Mg and one Cr atom to form a mixture of edge and corner-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of O–Mg bond distances ranging from 1.99–2.14 Å.

36 MATERIALS SCIENCE↗

Materials Data on Na15Cr7N19 by Materials Project

Na15Cr7N19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are sixteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.52–2.94 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.92 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.48–2.81 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.36–3.02 Å. In the fifth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.40–2.61 Å. In the sixth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.88 Å. In the seventh Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.70 Å. In the eighth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.41–2.74 Å. In the ninth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.42–2.87 Å. In the tenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Na–N bond distances ranging from 2.50–2.59 Å. In the eleventh Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.65 Å. In the twelfth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.45–2.98 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three N3- atoms. There are a spread of Na–N bond distances ranging from 2.40–2.48 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.36–3.07 Å. In the fifteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.33–3.07 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight N3- atoms. There are a spread of Na–N bond distances ranging from 2.55–3.12 Å. There are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is one shorter (1.66 Å) and three longer (1.78 Å) Cr–N bond length. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.66–1.82 Å. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.82 Å. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.85 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.65–1.82 Å. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.84 Å. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.85 Å. There are nineteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a 6-coordinate geometry to five Na1+ and one Cr6+ atom. In the second N3- site, N3- is bonded in a 2-coordinate geometry to four Na1+ and two Cr6+ atoms. In the third N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the fourth N3- site, N3- is bonded in a 5-coordinate geometry to three Na1+ and two Cr6+ atoms. In the fifth N3- site, N3- is bonded in a 2-coordinate geometry to three Na1+ and two Cr6+ atoms. In the sixth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the seventh N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the eighth N3- site, N3- is bonded in a 5-coordinate geometry to three Na1+ and two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the tenth N3- site, N3- is bonded in a distorted octahedral geometry to five Na1+ and one Cr6+ atom. In the eleventh N3- site, N3- is bonded in a 2-coordinate geometry to three Na1+ and two Cr6+ atoms. In the twelfth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Na1+ and two Cr6+ atoms. In the fourteenth N3- site, N3- is bonded in a 6-coordinate geometry to four Na1+ and two Cr6+ atoms. In the fifteenth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the sixteenth N3- site, N3- is bonded in a 2-coordinate geometry to four Na1+ and two Cr6+ atoms. In the seventeenth N3- site, N3- is bonded in a 2-coordinate geometry to one Na1+ and two Cr6+ atoms. In the eighteenth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the nineteenth N3- site, N3- is bonded in a 5-coordinate geometry to four Na1+ and one Cr6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CrN2 by Materials Project

CrN2 is Low Tridymite-like structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.76 Å. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.70–1.80 Å. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.70–1.79 Å. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.78 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.79 Å. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.69–1.81 Å. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.82 Å. There are fourteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the second N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the third N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fourth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the fifth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the sixth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the seventh N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the eighth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the tenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eleventh N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the twelfth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the thirteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fourteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12Cr by Materials Project

Mg16CrAl12 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, one Cr, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.07–3.24 Å. The Mg–Cr bond length is 3.08 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.11 Å. In the second Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.01–3.13 Å. There are a spread of Mg–Al bond distances ranging from 3.09–3.13 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are two shorter (3.10 Å) and two longer (3.13 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.92–3.15 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to three equivalent Mg, one Cr, and twelve Al atoms. The Mg–Cr bond length is 2.82 Å. There are a spread of Mg–Al bond distances ranging from 3.10–3.23 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.13 Å. Cr is bonded in a 10-coordinate geometry to four Mg and six equivalent Al atoms. All Cr–Al bond lengths are 2.88 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a distorted q6 geometry to eight Mg and three Al atoms. There are one shorter (2.69 Å) and two longer (2.76 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.78 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Cr, and three Al atoms. There are one shorter (2.67 Å) and one longer (2.70 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on CrN3O4 by Materials Project

(Cr(NO2)2)2(CrN3O4)2N2 crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of four ammonia molecules, four Cr(NO2)2 clusters, and four CrN3O4 clusters. In each Cr(NO2)2 cluster, Cr3+ is bonded in a 6-coordinate geometry to two N+1.67+ and four O2- atoms. There is one shorter (1.61 Å) and one longer (1.83 Å) Cr–N bond length. There are two shorter (2.03 Å) and two longer (2.04 Å) Cr–O bond lengths. There are two inequivalent N+1.67+ sites. In the first N+1.67+ site, N+1.67+ is bonded in a single-bond geometry to one Cr3+ atom. In the second N+1.67+ site, N+1.67+ is bonded in a single-bond geometry to one Cr3+ atom. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Cr3+ and one O2- atom. The O–O bond length is 1.31 Å. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Cr3+ and one O2- atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Cr3+ and one O2- atom. The O–O bond length is 1.31 Å. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Cr3+ and one O2- atom. In each CrN3O4 cluster, Cr3+ is bonded in a distorted pentagonal bipyramidal geometry to three N+1.67+ and four O2- atoms. There are a spread of Cr–N bond distances ranging from 1.76–1.87 Å. There are a spread of Cr–O bond distances ranging from 2.06–2.15 Å. There are three inequivalent N+1.67+ sites. In the first N+1.67+ site, N+1.67+ is bonded in a single-bond geometry to one Cr3+ atom. In the second N+1.67+ site, N+1.67+ is bonded in a single-bond geometry to one Cr3+ atom. In the third N+1.67+ site, N+1.67+ is bonded in a single-bond geometry to one Cr3+ atom. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Cr3+ and one O2- atom. The O–O bond length is 1.30 Å. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Cr3+ and one O2- atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Cr3+ and one O2- atom. The O–O bond length is 1.30 Å. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Cr3+ and one O2- atom.

36 MATERIALS SCIENCE↗

Materials Data on CrN2 by Materials Project

CrN2 is Keatite-like structured and crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.72–1.74 Å. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.72–1.74 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.72–1.74 Å. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. There are eighteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a bent 150 degrees geometry to two equivalent Cr6+ atoms. In the second N3- site, N3- is bonded in a bent 150 degrees geometry to two equivalent Cr6+ atoms. In the third N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the fourth N3- site, N3- is bonded in a bent 150 degrees geometry to two equivalent Cr6+ atoms. In the fifth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the sixth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the seventh N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the eighth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the tenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eleventh N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the twelfth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the thirteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fourteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fifteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two equivalent Cr6+ atoms. In the sixteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the seventeenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eighteenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr3Fe3GeAs2 by Materials Project

Cr3Fe3GeAs2 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. Cr is bonded in a 5-coordinate geometry to six equivalent Fe, one Ge, and four equivalent As atoms. There are two shorter (2.75 Å) and four longer (2.90 Å) Cr–Fe bond lengths. The Cr–Ge bond length is 2.53 Å. All Cr–As bond lengths are 2.61 Å. Fe is bonded in a 4-coordinate geometry to six equivalent Cr, two equivalent Fe, two equivalent Ge, and two equivalent As atoms. Both Fe–Fe bond lengths are 2.55 Å. Both Fe–Ge bond lengths are 2.39 Å. Both Fe–As bond lengths are 2.32 Å. Ge is bonded in a distorted q6 geometry to three equivalent Cr and six equivalent Fe atoms. As is bonded in a 9-coordinate geometry to six equivalent Cr and three equivalent Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on CrN2 by Materials Project

CrN2 is Keatite-like structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is one shorter (1.70 Å) and three longer (1.73 Å) Cr–N bond length. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.72–1.75 Å. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is two shorter (1.72 Å) and two longer (1.73 Å) Cr–N bond length. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.69–1.75 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.71–1.75 Å. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is one shorter (1.71 Å) and three longer (1.74 Å) Cr–N bond length. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. All Cr–N bond lengths are 1.73 Å. There are eleven inequivalent N3- sites. In the first N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the second N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the third N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fourth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the fifth N3- site, N3- is bonded in a linear geometry to two equivalent Cr6+ atoms. In the sixth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the seventh N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eighth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms. In the tenth N3- site, N3- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eleventh N3- site, N3- is bonded in a linear geometry to two Cr6+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CrIr3 by Materials Project

Ir3Cr crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Cr is bonded to six equivalent Ir atoms to form distorted CrIr6 cuboctahedra that share corners with six equivalent IrIr12 cuboctahedra, edges with six equivalent CrIr6 cuboctahedra, and edges with six equivalent IrIr12 cuboctahedra. All Cr–Ir bond lengths are 2.60 Å. There are five inequivalent Ir sites. In the first Ir site, Ir is bonded to three equivalent Cr and three equivalent Ir atoms to form a mixture of distorted corner and edge-sharing IrCr3Ir3 cuboctahedra. All Ir–Ir bond lengths are 2.80 Å. In the second Ir site, Ir is bonded to twelve Ir atoms to form IrIr12 cuboctahedra that share corners with six equivalent CrIr6 cuboctahedra, corners with eighteen IrCr3Ir3 cuboctahedra, edges with six equivalent CrIr6 cuboctahedra, edges with eighteen IrCr3Ir3 cuboctahedra, and faces with six equivalent IrIr12 cuboctahedra. All Ir–Ir bond lengths are 2.71 Å. In the third Ir site, Ir is bonded to three equivalent Cr and three equivalent Ir atoms to form distorted IrCr3Ir3 cuboctahedra that share corners with fourteen IrCr3Ir3 cuboctahedra, edges with twenty IrCr3Ir3 cuboctahedra, and faces with two equivalent IrIr16 cuboctahedra. All Ir–Cr bond lengths are 2.60 Å. All Ir–Ir bond lengths are 2.80 Å. In the fourth Ir site, Ir is bonded to sixteen Ir atoms to form IrIr16 cuboctahedra that share corners with six equivalent CrIr6 cuboctahedra, corners with twenty-two IrCr3Ir3 cuboctahedra, edges with six equivalent CrIr6 cuboctahedra, edges with twenty-six IrCr3Ir3 cuboctahedra, and faces with twenty IrCr3Ir3 cuboctahedra. There are a spread of Ir–Ir bond distances ranging from 2.71–5.41 Å. In the fifth Ir site, Ir is bonded to three equivalent Cr and three equivalent Ir atoms to form distorted IrCr3Ir3 cuboctahedra that share corners with fourteen IrCr3Ir3 cuboctahedra, edges with twenty IrCr3Ir3 cuboctahedra, and faces with two equivalent IrIr16 cuboctahedra. All Ir–Cr bond lengths are 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on YMg30CrO32 by Materials Project

Mg30YCrO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight 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 MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent CrO6 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 2.02–2.18 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.06 Å) and four longer (2.16 Å) Mg–O bond lengths. In the third 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 a spread of Mg–O bond distances ranging from 2.11–2.15 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.03 Å) and four longer (2.17 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.10–2.22 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 octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 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 YO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.22 Å) and two longer (2.23 Å) Y–O bond lengths. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.26 Å) and four longer (2.29 Å) Cr–O bond lengths. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to five Mg and one Cr atom to form a mixture of corner and edge-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O site, O is bonded to five Mg and one Y atom to form a mixture of corner and edge-sharing OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixth O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. The O–Mg bond length is 2.02 Å. In the seventh O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 2.02–2.15 Å. In the eighth 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 ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. Both O–Mg bond lengths are 2.15 Å. In the eleventh O site, O is bonded to five Mg and one Cr atom to form OMg5Cr octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.10 Å) and two longer (2.15 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Cr3Fe3SiAs2 by Materials Project

Cr3Fe3SiAs2 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. Cr is bonded in a 5-coordinate geometry to six equivalent Fe, one Si, and four equivalent As atoms. There are two shorter (2.77 Å) and four longer (2.81 Å) Cr–Fe bond lengths. The Cr–Si bond length is 2.47 Å. All Cr–As bond lengths are 2.57 Å. Fe is bonded in a 12-coordinate geometry to six equivalent Cr, two equivalent Fe, two equivalent Si, and two equivalent As atoms. Both Fe–Fe bond lengths are 2.53 Å. Both Fe–Si bond lengths are 2.32 Å. Both Fe–As bond lengths are 2.33 Å. Si is bonded in a distorted q6 geometry to three equivalent Cr and six equivalent Fe atoms. As is bonded in a 9-coordinate geometry to six equivalent Cr and three equivalent Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn2CrNiSb2 by Materials Project

CrMn2NiSb2 is half-Heusler-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Cr is bonded to six Mn and four Sb atoms to form distorted CrMn6Sb4 tetrahedra that share corners with four equivalent MnCr3Ni3Sb4 tetrahedra, edges with six MnCr3Ni3Sb4 tetrahedra, and faces with six equivalent CrMn6Sb4 tetrahedra. There are three shorter (3.00 Å) and three longer (3.02 Å) Cr–Mn bond lengths. All Cr–Sb bond lengths are 2.64 Å. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded to three equivalent Cr, three equivalent Ni, and four Sb atoms to form distorted MnCr3Ni3Sb4 tetrahedra that share corners with six equivalent MnCr3Ni3Sb4 tetrahedra, edges with three equivalent CrMn6Sb4 tetrahedra, and faces with twelve MnCr3Ni3Sb4 tetrahedra. All Mn–Ni bond lengths are 3.02 Å. There are three shorter (2.63 Å) and one longer (2.66 Å) Mn–Sb bond lengths. In the second Mn site, Mn is bonded to three equivalent Cr, three equivalent Ni, and four Sb atoms to form distorted MnCr3Ni3Sb4 tetrahedra that share corners with four equivalent CrMn6Sb4 tetrahedra, corners with six equivalent MnCr3Ni3Sb4 tetrahedra, edges with three equivalent CrMn6Sb4 tetrahedra, and faces with twelve MnCr3Ni3Sb4 tetrahedra. All Mn–Ni bond lengths are 3.05 Å. There are three shorter (2.59 Å) and one longer (2.61 Å) Mn–Sb bond lengths. Ni is bonded in a 10-coordinate geometry to six Mn and four Sb atoms. There are three shorter (2.59 Å) and one longer (2.60 Å) Ni–Sb bond lengths. There are two inequivalent Sb sites. In the first Sb site, Sb is bonded in a body-centered cubic geometry to three equivalent Cr, four Mn, and one Ni atom. In the second Sb site, Sb is bonded in a body-centered cubic geometry to one Cr, four Mn, and three equivalent Ni atoms.

36 MATERIALS SCIENCE↗