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Materials Data on Cr19S30 by Materials Project

Cr19S30 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Cr+3.16+ sites. In the first Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Cr–S bond distances ranging from 2.35–2.44 Å. In the second Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of Cr–S bond distances ranging from 2.37–2.41 Å. In the third Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Cr–S bond distances ranging from 2.35–2.44 Å. In the fourth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. In the fifth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.32–2.48 Å. In the sixth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.32–2.48 Å. In the seventh Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the eighth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–S bond distances ranging from 2.37–2.43 Å. In the ninth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of face and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of Cr–S bond distances ranging from 2.40–2.44 Å. In the tenth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of face and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of Cr–S bond distances ranging from 2.40–2.44 Å. There are fifteen inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.00–2.53 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 1.98–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Li–O bond distances ranging from 2.01–2.41 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.00–2.30 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.02–2.56 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 1.99–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.07–2.29 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Mn–O bond distances ranging from 1.94–2.25 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Co–O bond distances ranging from 1.93–2.30 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.88–2.30 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Co–O bond distances ranging from 1.85–2.16 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Co–O bond distances ranging from 1.81–2.02 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Co–O bond distances ranging from 1.85–2.32 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the second O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the seventh O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the ninth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the thirteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form distorted OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°.

36 MATERIALS SCIENCE↗

Materials Data on Fe5(O4F)2 by Materials Project

Fe5(O4F)2 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Fe–O bond distances ranging from 1.94–2.03 Å. The Fe–F bond length is 2.05 Å. In the second Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. The Fe–F bond length is 2.21 Å. In the third Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Fe–O bond distances ranging from 1.96–2.01 Å. The Fe–F bond length is 2.08 Å. In the fourth Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Fe–O bond distances ranging from 1.91–1.99 Å. The Fe–F bond length is 2.16 Å. In the fifth Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. The Fe–F bond length is 2.15 Å. In the sixth Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. The Fe–F bond length is 2.08 Å. In the seventh Fe site, Fe is bonded to four O and two F atoms to form a mixture of corner and edge-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Fe–F bond lengths. In the eighth Fe site, Fe is bonded to four O and two F atoms to form a mixture of corner and edge-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. There are one shorter (2.08 Å) and one longer (2.10 Å) Fe–F bond lengths. In the ninth Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Fe–O bond distances ranging from 1.94–2.03 Å. The Fe–F bond length is 2.05 Å. In the tenth Fe site, Fe is bonded to five O and one F atom to form a mixture of corner and edge-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. The Fe–F bond length is 2.12 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the second O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the third O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fourth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fifth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the sixth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the eighth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the ninth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the eleventh O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the twelfth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the thirteenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fifteenth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. There are four inequivalent F sites. In the first F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the second F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the third F site, F is bonded in a distorted T-shaped geometry to three Fe atoms. In the fourth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMg30CoO32 by Materials Project

LiMg30CoO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 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 (2.16 Å) and two longer (2.29 Å) Li–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CoO6 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 2.10–2.17 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 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 2.09–2.15 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.11 Å) and four longer (2.14 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.13 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- 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 2.11–2.13 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CoO6 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 2.11–2.13 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 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 2.10–2.15 Å. Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO6 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 (1.96 Å) and four longer (2.08 Å) Co–O bond lengths. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Co3+ atom to form a mixture of edge and corner-sharing OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Co octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.13 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Co octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.09 Å) and two longer (2.10 Å) O–Mg bond lengths. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.12 Å) and two longer (2.13 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ 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 0–2°. There are two shorter (2.11 Å) and two longer (2.15 Å) O–Mg bond lengths. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the ninth O2- site, O2- is bonded to one Li1+, four equivalent Mg2+, and one Co3+ atom to form OLiMg4Co octahedra that share corners with six OLiMg4Co octahedra and edges with twelve OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg4Co octahedra and edges with twelve OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.12 Å. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.12 Å) and two longer (2.13 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg30SiBO32 by Materials Project

Mg30SiO32B crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional and consists of one boron molecule and one Mg30SiO32 framework. In the Mg30SiO32 framework, 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 SiO6 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 2.09–2.28 Å. In the second Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.97–2.22 Å. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.14 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.10 Å) and two longer (2.18 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 SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–29°. 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 edge and corner-sharing MgO6 octahedra. 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 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 0–9°. 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 a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. Si is bonded to six O atoms to form SiO6 octahedra that share corners with four equivalent MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.69 Å) and four longer (1.96 Å) Si–O bond length. There are twelve inequivalent O sites. In the first O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with four OMg5Si octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg5Si octahedra, and edges with two equivalent OMg4Si trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the second O site, O is bonded to five Mg atoms to form distorted OMg5 square pyramids that share corners with four OMg5Si octahedra, corners with three equivalent OMg5 square pyramids, corners with two equivalent OMg4Si trigonal bipyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. 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 0–5°. Both O–Mg bond lengths are 2.17 Å. In the fourth 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 ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the fifth 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 0–5°. There are two shorter (2.12 Å) and two longer (2.17 Å) O–Mg bond lengths. In the sixth 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 ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 0°. 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 six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra, edges with nine OMg5Si octahedra, edges with two equivalent OMg5 square pyramids, and an edgeedge with one OMg4Si trigonal bipyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O site, O is bonded to four equivalent Mg and one Si atom to form distorted OMg4Si trigonal bipyramids that share corners with four equivalent OMg6 octahedra, corners with four equivalent OMg5 square pyramids, a cornercorner with one OMg4Si trigonal bipyramid, and edges with eight OMg5Si octahedra. The corner-sharing octahedral tilt angles are 18°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg4Si trigonal bipyramids, edges with ten OMg5Si octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth 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 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 0–5°. The O–Mg bond length is 2.10 Å. In the twelfth 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 0–5°. There are a spread of O–Mg bond distances ranging from 2.10–2.17 Å.

36 MATERIALS SCIENCE↗

Materials Data on RbMg30GaO32 by Materials Project

RbMg30GaO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with two equivalent GaO6 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 (2.41 Å) and two longer (2.44 Å) Rb–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- 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 octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.91–2.21 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent GaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four longer (2.16 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.16 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, an edgeedge with one GaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Mg–O bond distances ranging from 2.10–2.24 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- 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 2.14–2.17 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- 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 1–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one GaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent RbO6 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 (1.85 Å) and four longer (2.16 Å) Ga–O bond lengths. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to one Rb1+ and five Mg2+ 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 O2- site, O2- is bonded to five Mg2+ and one Ga3+ atom to form OMg5Ga octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg5Ga octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.15 Å. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All O–Mg bond lengths are 2.15 Å. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventh O2- site, O2- is bonded to one Rb1+, four equivalent Mg2+, and one Ga3+ atom to form distorted ORbMg4Ga octahedra that share corners with six ORbMg4Ga octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg4Ga octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.15 Å) and two longer (2.20 Å) O–Mg bond lengths. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. The O–Mg bond length is 2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.00–2.43 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.00–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.00–2.34 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 1.98–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 1.98–2.37 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.00–2.46 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.01–2.38 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 1.98–2.31 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–14°. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Co–O bond distances ranging from 1.94–2.04 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.88–2.08 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.88–1.96 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.88–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the third O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–13°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the seventh O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the ninth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the thirteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.05–2.35 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form edge-sharing LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.10–2.37 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four LiO6 octahedra, and edges with four equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.62 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.93–2.27 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 1.94–2.16 Å. In the third Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.51 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.09 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.94–2.21 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with three equivalent OLi3MnCo2 octahedra and edges with nine OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two equivalent Mn+4.50+ atoms. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with three equivalent OLi4Co2 octahedra and edges with nine OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.90–2.14 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Co–O bond distances ranging from 1.96–2.11 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the second O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to three Li1+, two Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn3+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the sixth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O2- site, O2- is bonded to three Li1+, two Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn3+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the ninth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–11°.

36 MATERIALS SCIENCE↗

Materials Data on Mg30FeBO32 by Materials Project

Mg30FeBO32 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 a mixture of edge and corner-sharing 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 second Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.02–2.16 Å. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.11 Å) and four longer (2.15 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.13 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 3–36°. There are a spread of Mg–O bond distances ranging from 2.07–2.29 Å. In the sixth 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the seventh 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 2.11–2.15 Å. In the eighth 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 1–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. Fe is bonded in a square co-planar geometry to four equivalent O atoms. All Fe–O bond lengths are 2.12 Å. B is bonded in a linear geometry to two equivalent O atoms. Both B–O bond lengths are 1.36 Å. There are eight inequivalent O sites. In the first O site, O is bonded to five Mg and one Fe atom to form OMg5Fe octahedra that share corners with four OMg5Fe octahedra, corners with two equivalent OMg5 square pyramids, and edges with ten OMg5Fe octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with four OMg5Fe octahedra, corners with three equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. 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 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 four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra, edges with nine OMg5Fe octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O site, O is bonded in a distorted single-bond geometry to four equivalent Mg and one B atom. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg5Fe octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth 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°.

36 MATERIALS SCIENCE↗

Materials Data on RbMg30CrO32 by Materials Project

RbMg30CrO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 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 (2.40 Å) and four longer (2.41 Å) Rb–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- 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 octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.90–2.23 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CrO6 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 2.08–2.20 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.18 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.15 Å) and four longer (2.16 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six O2- 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 1–12°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- 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 1–3°. There are four shorter (2.15 Å) and two longer (2.16 Å) Mg–O bond lengths. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent RbO6 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 (1.91 Å) and four longer (2.11 Å) Cr–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six OMg5Cr octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form OMg5Cr octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.16 Å. In the fifth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 1.90–2.19 Å. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.15 Å) and two longer (2.16 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to one Rb1+, four equivalent Mg2+, and one Cr3+ atom to form ORbMg4Cr octahedra that share corners with six ORbMg4Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg4Cr octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.15 Å. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.15 Å) and two longer (2.16 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on CaMg30BiO32 by Materials Project

CaMg30BiO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent BiO6 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 (2.12 Å) and four longer (2.28 Å) Ca–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CaO6 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 2.05–2.18 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BiO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (1.99 Å) and four longer (2.19 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.15 Å) and two longer (2.18 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.14 Å) and two longer (2.18 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, an edgeedge with one BiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.16–2.18 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 Å. Bi2+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with two equivalent CaO6 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 (2.24 Å) and four longer (2.34 Å) Bi–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form OCaMg5 octahedra that share corners with six OMg5Bi octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O2- site, O2- is bonded to five Mg2+ and one Bi2+ atom to form OMg5Bi octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.17 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of O–Mg bond distances ranging from 2.05–2.20 Å. In the sixth O2- site, O2- is bonded to five Mg2+ and one Bi2+ atom to form a mixture of edge and corner-sharing OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.22 Å) and two longer (2.23 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.13 Å) and two longer (2.17 Å) O–Mg bond lengths. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.11 Å) and two longer (2.18 Å) O–Mg bond lengths. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth O2- site, O2- is bonded to one Ca2+, four equivalent Mg2+, and one Bi2+ atom to form OCaMg4Bi octahedra that share corners with six OCaMg4Bi octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eleventh O2- site, O2- is bonded to one Ca2+, four equivalent Mg2+, and one Bi2+ atom to form OCaMg4Bi octahedra that share corners with six OCaMg4Bi octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. All O–Mg bond lengths are 2.25 Å. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCaMg4Bi octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCaMg4Bi octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and two longer (2.18 Å) O–Mg bond lengths. In the fourteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.18 Å. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of O–Mg bond distances ranging from 2.13–2.18 Å.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30SiO32 by Materials Project

Mg30HfSiO32 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 SiO6 octahedra, corners with four 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 (2.18 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 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 2.12–2.17 Å. 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 four shorter (2.14 Å) and two longer (2.17 Å) Mg–O bond lengths. In the fourth 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 two shorter (2.14 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 HfO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. 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 1–3°. 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 SiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 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 HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. Hf is bonded to six O atoms to form HfO6 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 (2.11 Å) and four longer (2.15 Å) Hf–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with two equivalent HfO6 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 (2.20 Å) and four longer (2.32 Å) Si–O bond lengths. There are eleven 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 0–4°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Si octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third 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 0–4°. In the fourth 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°. Both O–Mg bond lengths are 2.16 Å. In the fifth 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°. There are two shorter (2.11 Å) and two longer (2.16 Å) O–Mg bond lengths. In the sixth 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 1–4°. In the seventh O site, O is bonded to four equivalent Mg, one Hf, and one Si atom to form OHfMg4Si octahedra that share corners with six OHfMg4Si octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg4Si octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–5°. 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 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 0–4°. There are two shorter (2.10 Å) and two longer (2.18 Å) O–Mg bond lengths. 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 0–3°. The O–Mg bond length is 2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on Na19Zr11S30 by Materials Project

Na19Zr11S30 is Caswellsilverite-like structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with two NaS6 octahedra, corners with four ZrS6 octahedra, edges with five ZrS6 octahedra, and edges with seven NaS6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Na–S bond distances ranging from 2.78–2.96 Å. In the second Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share a cornercorner with one NaS6 octahedra, corners with five ZrS6 octahedra, edges with four ZrS6 octahedra, and edges with eight NaS6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Na–S bond distances ranging from 2.80–2.97 Å. In the third Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with two equivalent NaS6 octahedra, corners with four ZrS6 octahedra, edges with four ZrS6 octahedra, and edges with eight NaS6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–S bond distances ranging from 2.81–2.98 Å. In the fourth Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with two equivalent NaS6 octahedra, corners with four ZrS6 octahedra, edges with four ZrS6 octahedra, and edges with eight NaS6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Na–S bond distances ranging from 2.76–2.96 Å. In the fifth Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with two equivalent NaS6 octahedra, corners with four ZrS6 octahedra, edges with five ZrS6 octahedra, and edges with seven NaS6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Na–S bond distances ranging from 2.75–2.94 Å. In the sixth Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with six ZrS6 octahedra, edges with four equivalent ZrS6 octahedra, and edges with eight NaS6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are two shorter (2.90 Å) and four longer (2.93 Å) Na–S bond lengths. In the seventh Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with six NaS6 octahedra, edges with six NaS6 octahedra, and edges with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are four shorter (2.81 Å) and two longer (2.82 Å) Na–S bond lengths. In the eighth Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with six NaS6 octahedra, edges with six NaS6 octahedra, and edges with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are two shorter (2.80 Å) and four longer (2.82 Å) Na–S bond lengths. There are four inequivalent Zr+3.73+ sites. In the first Zr+3.73+ site, Zr+3.73+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six NaS6 octahedra, edges with four ZrS6 octahedra, and edges with eight NaS6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are four shorter (2.59 Å) and two longer (2.68 Å) Zr–S bond lengths. In the second Zr+3.73+ site, Zr+3.73+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six NaS6 octahedra, edges with four ZrS6 octahedra, and edges with eight NaS6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Zr–S bond distances ranging from 2.57–2.66 Å. In the third Zr+3.73+ site, Zr+3.73+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six NaS6 octahedra, edges with three ZrS6 octahedra, and edges with nine NaS6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Zr–S bond distances ranging from 2.58–2.61 Å. In the fourth Zr+3.73+ site, Zr+3.73+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six NaS6 octahedra, edges with six NaS6 octahedra, and edges with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are four shorter (2.66 Å) and two longer (2.67 Å) Zr–S bond lengths. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded to four Na1+ and two Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the second S2- site, S2- is bonded to three Na1+ and three Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa3Zr3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third S2- site, S2- is bonded to four Na1+ and two equivalent Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth S2- site, S2- is bonded to four Na1+ and two Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fifth S2- site, S2- is bonded to four Na1+ and two Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth S2- site, S2- is bonded to four Na1+ and two equivalent Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh S2- site, S2- is bonded to four Na1+ and two equivalent Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth S2- site, S2- is bonded to four Na1+ and two equivalent Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the ninth S2- site, S2- is bonded to four Na1+ and two equivalent Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the tenth S2- site, S2- is bonded to three Na1+ and three Zr+3.73+ atoms to form a mixture of edge and corner-sharing SNa3Zr3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Li–O bond distances ranging from 2.01–2.31 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.15–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.06–2.33 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 1.97–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.05–2.12 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.99–2.08 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Co–O bond distances ranging from 2.00–2.09 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Co–O bond distances ranging from 1.99–2.17 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 2.01–2.08 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Co–O bond distances ranging from 2.00–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the second O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form a mixture of corner and edge-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–17°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form a mixture of corner and edge-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°.

36 MATERIALS SCIENCE↗

Materials Data on Sr16La3Co11(Cu4O23)2 by Materials Project

Sr16La3Co11(Cu4O23)2 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are sixteen inequivalent Sr sites. In the first Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.63 Å) and four longer (2.65 Å) Sr–O bond lengths. In the second Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.61 Å) and four longer (2.75 Å) Sr–O bond lengths. In the third Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.66 Å) and four longer (2.72 Å) Sr–O bond lengths. In the fourth Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.68 Å) and four longer (2.70 Å) Sr–O bond lengths. In the fifth Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.69 Å) and four longer (2.70 Å) Sr–O bond lengths. In the sixth Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. All Sr–O bond lengths are 2.69 Å. In the seventh Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.68 Å) and four longer (2.70 Å) Sr–O bond lengths. In the eighth Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.66 Å) and four longer (2.72 Å) Sr–O bond lengths. In the ninth Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.62 Å) and four longer (2.76 Å) Sr–O bond lengths. In the tenth Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.64 Å) and four longer (2.68 Å) Sr–O bond lengths. In the eleventh Sr site, Sr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.50 Å) and four longer (2.77 Å) Sr–O bond lengths. In the twelfth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four equivalent CoO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.70–2.91 Å. In the thirteenth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.79 Å. In the fourteenth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.79 Å. In the fifteenth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.66–2.79 Å. In the sixteenth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.60–2.86 Å. There are three inequivalent La sites. In the first La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight LaO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five LaO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of La–O bond distances ranging from 2.54–2.81 Å. In the second La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of La–O bond distances ranging from 2.64–2.79 Å. In the third La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share corners with eight LaO12 cuboctahedra, faces with five LaO12 cuboctahedra, faces with four equivalent CoO6 octahedra, and faces with four equivalent CoO5 square pyramids. There are a spread of La–O bond distances ranging from 2.74–2.79 Å. There are eleven inequivalent Co sites. In the first Co site, Co is bonded to five O atoms to form CoO5 square pyramids that share a cornercorner with one CoO6 octahedra, corners with four equivalent CoO5 square pyramids, and faces with four equivalent LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.97 Å) and one longer (1.98 Å) Co–O bond length. In the second Co site, Co is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Co–O bond lengths are 1.97 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Co–O bond distances ranging from 1.81–1.97 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.80–1.97 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four equivalent SrO12 cuboctahedra, and faces with four equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Co–O bond distances ranging from 1.77–1.98 Å. In the sixth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.83–1.97 Å. In the seventh Co site, Co is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Co–O bond lengths are 1.97 Å. In the eighth Co site, Co is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Co–O bond lengths are 1.97 Å. In the ninth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one CuO5 square pyramid, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.76–1.97 Å. In the tenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Co–O bond distances ranging from 1.82–1.97 Å. In the eleventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one CoO5 square pyramid, and faces with eight LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.83 Å) and four longer (1.97 Å) Co–O bond length. There are eight inequivalent Cu sites. In the first Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the second Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the third Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the fifth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the sixth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the seventh Cu site, Cu is bonded in a rectangular see-saw-like geometry to four equivalent O atoms. All Cu–O bond lengths are 1.97 Å. In the eighth Cu site, Cu is bonded to five O atoms to form CuO5 square pyramids that share a cornercorner with one CoO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Cu–O bond lengths are 1.98 Å. There are twenty-seven inequivalent O sites. In the first O site, O is bonded to two equivalent Sr, two equivalent La, and two equivalent Co atoms to form distorted OSr2La2Co2 octahedra that share corners with fourteen OSr4Co2 octahedra, edges with four OSr4Co2 octahedra, and faces with four equivalent OSr2La2Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the second O site, O is bonded to four Sr and two equivalent Cu atoms to form OSr4Cu2 octahedra that share corners with fourteen OSr4Co2 octahedra, edges with four OSr4Co2 octahedra, and faces with four equivalent OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the third O site, O is bonded to four Sr and two equivalent Cu atoms to form a mixture of corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fourth O site, O is bonded to four Sr and two equivalent Cu atoms to form a mixture of corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fifth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Co atoms. In the sixth O site, O is bonded in a linear geometry to four equivalent Sr and two Co atoms. In the seventh O site, O is bonded to four Sr and two equivalent Co atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the eighth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Co atoms. In the ninth O site, O is bonded in a linear geometry to four equivalent La and two Co atoms. In the tenth O site, O is bonded in a distorted linear geometry to four equivalent La and two Co atoms. In the eleventh O site, O is bonded to four Sr and two equivalent Co atoms to form a mixture of corner, edge, and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the twelfth O site, O is bonded to four Sr and two equivalent Cu atoms to form a mixture of corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the thirteenth O site, O is bonded to four Sr and two equivalent Cu atoms to form a mixture of corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fourteenth O site, O is bonded to four Sr and two equivalent Cu atoms to form a mixture of corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fifteenth O site, O is bonded to four Sr and two equivalent Cu atoms to form a mixture of corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the sixteenth O site, O is bonded to four Sr and two equivalent Co atoms to form a mixture of corner, edge, and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the seventeenth O site, O is bonded to four Sr and two equivalent Co atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the eighteenth O site, O is bonded in a 6-coordinate

36 MATERIALS SCIENCE↗

Materials Data on Mg30AlVO32 by Materials Project

Mg30VAlO32 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 AlO6 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 2.11–2.26 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent VO6 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 2.11–2.16 Å. 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 two shorter (2.12 Å) and four longer (2.15 Å) Mg–O bond lengths. In the fourth 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°. All Mg–O bond lengths are 2.14 Å. 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 VO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. 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 0–2°. 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 AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are four shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. 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 VO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. V is bonded to six O atoms to form VO6 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 (2.17 Å) and two longer (2.29 Å) V–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.98 Å) and four longer (2.01 Å) Al–O bond length. There are sixteen 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 0–4°. There are two shorter (2.14 Å) and one longer (2.26 Å) O–Mg bond lengths. In the second O site, O is bonded to five Mg and one V atom to form OMg5V octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third 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°. Both O–Mg bond lengths are 2.14 Å. In the fourth 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°. Both O–Mg bond lengths are 2.13 Å. In the fifth O site, O is bonded to five Mg and one V atom to form OMg5V octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.13 Å) and two longer (2.15 Å) O–Mg bond lengths. In the sixth 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°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All O–Mg bond lengths are 2.13 Å. In the eighth 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 octahedral tilt angles are 1°. In the ninth O site, O is bonded to four equivalent Mg, one V, and one Al atom to form OMg4AlV octahedra that share corners with six OMg4AlV octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4AlV octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–5°. 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 0–1°. In the twelfth 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°. All O–Mg bond lengths are 2.13 Å. In the thirteenth 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 0–4°. In the fourteenth 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 0–4°. The O–Mg bond length is 2.12 Å. In the fifteenth 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°. The O–Mg bond length is 2.14 Å. 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 0–4°. There are a spread of O–Mg bond distances ranging from 2.12–2.14 Å.

36 MATERIALS SCIENCE↗

Materials Data on V(Cr7S10)2 by Materials Project

V(Cr7S10)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. V2+ is bonded to six S2- atoms to form VS6 octahedra that share corners with twelve CrS6 octahedra, edges with two equivalent VS6 octahedra, and faces with two equivalent CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are two shorter (2.43 Å) and four longer (2.47 Å) V–S bond lengths. There are seven inequivalent Cr+2.71+ sites. In the first Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent VS6 octahedra, corners with four equivalent CrS6 octahedra, edges with six CrS6 octahedra, and a faceface with one CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Cr–S bond distances ranging from 2.37–2.51 Å. In the second Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form a mixture of edge, corner, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Cr–S bond distances ranging from 2.37–2.51 Å. In the third Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form a mixture of edge, corner, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Cr–S bond distances ranging from 2.36–2.51 Å. In the fourth Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form a mixture of edge, corner, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Cr–S bond distances ranging from 2.36–2.51 Å. In the fifth Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent CrS6 octahedra, corners with four equivalent VS6 octahedra, edges with six CrS6 octahedra, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–S bond distances ranging from 2.37–2.48 Å. In the sixth Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form a mixture of edge, corner, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Cr–S bond distances ranging from 2.45–2.47 Å. In the seventh Cr+2.71+ site, Cr+2.71+ is bonded to six S2- atoms to form a mixture of edge, corner, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Cr–S bond distances ranging from 2.43–2.46 Å. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+2.71+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+2.71+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+2.71+ atoms. In the fourth S2- site, S2- is bonded to five Cr+2.71+ atoms to form a mixture of distorted edge and corner-sharing SCr5 trigonal bipyramids. In the fifth S2- site, S2- is bonded to five Cr+2.71+ atoms to form a mixture of distorted edge and corner-sharing SCr5 trigonal bipyramids. In the sixth S2- site, S2- is bonded to five Cr+2.71+ atoms to form a mixture of distorted edge and corner-sharing SCr5 trigonal bipyramids. In the seventh S2- site, S2- is bonded to five Cr+2.71+ atoms to form a mixture of distorted edge and corner-sharing SCr5 trigonal bipyramids. In the eighth S2- site, S2- is bonded to two equivalent V2+ and three equivalent Cr+2.71+ atoms to form a mixture of distorted edge and corner-sharing SV2Cr3 trigonal bipyramids. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one V2+ and three Cr+2.71+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+2.71+ atoms.

36 MATERIALS SCIENCE↗