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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 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 4–9°. There are a spread of Li–O bond distances ranging from 2.09–2.31 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 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 5–12°. There are a spread of Li–O bond distances ranging from 1.98–2.33 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.06–2.15 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 2–8°. There are a spread of Li–O bond distances ranging from 2.08–2.26 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 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 6–12°. There are a spread of Li–O bond distances ranging from 1.98–2.20 Å. In the sixth 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 two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.14–2.18 Å. In the seventh 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 2–7°. There are a spread of Li–O bond distances ranging from 2.09–2.24 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 2–10°. There are a spread of Li–O bond distances ranging from 2.06–2.15 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 CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.04–2.13 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 4–9°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 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 equivalent 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 2.06–2.11 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 2–5°. There are a spread of Co–O bond distances ranging from 1.95–2.09 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 7–12°. There are a spread of Co–O bond distances ranging from 2.04–2.11 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 two equivalent CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.79–2.00 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 2–6°. There are two shorter (1.96 Å) and four longer (2.07 Å) Co–O bond lengths. 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the third 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the seventh 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. 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 0–2°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth 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 1–10°. 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 0–2°. In the twelfth 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 0–5°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. 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 OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixteenth 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 1–2°.

36 MATERIALS SCIENCE↗

Materials Data on CaHfMg6 by Materials Project

CaMg6Hf crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Ca is bonded to twelve Mg atoms to form CaMg12 cuboctahedra that share corners with four equivalent CaMg12 cuboctahedra, corners with eight equivalent HfMg12 cuboctahedra, edges with twenty-four MgCa2Hf2Mg8 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with four equivalent HfMg12 cuboctahedra, and faces with twelve MgCa2Hf2Mg8 cuboctahedra. There are a spread of Ca–Mg bond distances ranging from 3.21–3.38 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Hf atoms to form distorted MgCa2Hf2Mg8 cuboctahedra that share corners with twelve equivalent MgCa2Hf2Mg8 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgCa2Hf2Mg8 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgCa2Hf2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.24–3.27 Å. There are one shorter (3.21 Å) and one longer (3.22 Å) Mg–Hf bond lengths. In the second Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Hf atoms to form distorted MgCa2Hf2Mg8 cuboctahedra that share corners with twelve equivalent MgCa2Hf2Mg8 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgCa2Hf2Mg8 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgCa2Hf2Mg8 cuboctahedra. There are two shorter (3.03 Å) and two longer (3.40 Å) Mg–Mg bond lengths. Both Mg–Hf bond lengths are 3.16 Å. In the third Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Hf atoms to form distorted MgCa2Hf2Mg8 cuboctahedra that share corners with twelve MgCa2Hf2Mg8 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgCa2Hf2Mg8 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgCa2Hf2Mg8 cuboctahedra. Both Mg–Hf bond lengths are 3.18 Å. In the fourth Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Hf atoms to form distorted MgCa2Hf2Mg8 cuboctahedra that share corners with twelve MgCa2Hf2Mg8 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgCa2Hf2Mg8 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgCa2Hf2Mg8 cuboctahedra. Both Mg–Hf bond lengths are 3.17 Å. Hf is bonded to twelve Mg atoms to form HfMg12 cuboctahedra that share corners with four equivalent HfMg12 cuboctahedra, corners with eight equivalent CaMg12 cuboctahedra, edges with twenty-four MgCa2Hf2Mg8 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, faces with four equivalent CaMg12 cuboctahedra, and faces with twelve MgCa2Hf2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on YEr2Al9 by Materials Project

Er2YAl9 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are four inequivalent Er sites. In the first Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with six YAl12 cuboctahedra, edges with twelve AlYEr3Al8 cuboctahedra, faces with six ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are six shorter (2.96 Å) and six longer (3.06 Å) Er–Al bond lengths. In the second Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with twelve AlYEr3Al8 cuboctahedra, edges with six equivalent AlY2Er2Al8 cuboctahedra, faces with two ErAl12 cuboctahedra, faces with six YAl12 cuboctahedra, and faces with six equivalent AlY2Er2Al8 cuboctahedra. There are a spread of Er–Al bond distances ranging from 3.05–3.08 Å. In the third Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with twelve AlYEr3Al8 cuboctahedra, edges with six equivalent AlYEr3Al8 cuboctahedra, faces with three equivalent YAl12 cuboctahedra, faces with five ErAl12 cuboctahedra, and faces with six equivalent AlYEr3Al8 cuboctahedra. There are a spread of Er–Al bond distances ranging from 3.05–3.08 Å. In the fourth Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with twelve AlY2Er2Al8 cuboctahedra, edges with six equivalent AlYEr3Al8 cuboctahedra, faces with three equivalent YAl12 cuboctahedra, faces with five ErAl12 cuboctahedra, and faces with six equivalent AlYEr3Al8 cuboctahedra. There are a spread of Er–Al bond distances ranging from 3.05–3.08 Å. There are three inequivalent Y sites. In the first Y site, Y is bonded to twelve Al atoms to form YAl12 cuboctahedra that share corners with three equivalent ErAl12 cuboctahedra, corners with nine YAl12 cuboctahedra, edges with twelve AlYEr3Al8 cuboctahedra, faces with six ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are a spread of Y–Al bond distances ranging from 2.97–3.06 Å. In the second Y site, Y is bonded to twelve Al atoms to form YAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with six equivalent YAl12 cuboctahedra, edges with twelve equivalent AlYEr3Al8 cuboctahedra, faces with six equivalent ErAl12 cuboctahedra, and faces with six equivalent AlYEr3Al8 cuboctahedra. There are six shorter (2.98 Å) and six longer (3.06 Å) Y–Al bond lengths. In the third Y site, Y is bonded to twelve Al atoms to form YAl12 cuboctahedra that share corners with twelve YAl12 cuboctahedra, edges with twelve equivalent AlY2Er2Al8 cuboctahedra, faces with six equivalent ErAl12 cuboctahedra, and faces with six equivalent AlY2Er2Al8 cuboctahedra. There are six shorter (2.97 Å) and six longer (3.06 Å) Y–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to three Er, one Y, and eight Al atoms to form distorted AlYEr3Al8 cuboctahedra that share corners with four ErAl12 cuboctahedra, corners with fourteen AlYEr3Al8 cuboctahedra, edges with two equivalent YAl12 cuboctahedra, edges with four ErAl12 cuboctahedra, edges with four equivalent AlYEr3Al8 cuboctahedra, a faceface with one YAl12 cuboctahedra, faces with three ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.92–3.06 Å. In the second Al site, Al is bonded in a 10-coordinate geometry to two Er, two equivalent Y, and six Al atoms. There are two shorter (2.75 Å) and two longer (2.92 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 10-coordinate geometry to two equivalent Er, two equivalent Y, and six Al atoms. There are two shorter (2.75 Å) and four longer (2.93 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Er, two equivalent Y, and six Al atoms. There are two shorter (2.75 Å) and four longer (2.92 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 10-coordinate geometry to four Er and six Al atoms. There are two shorter (2.75 Å) and two longer (2.92 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Er, two Y, and eight Al atoms to form distorted AlY2Er2Al8 cuboctahedra that share corners with four ErAl12 cuboctahedra, corners with fourteen AlYEr3Al8 cuboctahedra, edges with two equivalent ErAl12 cuboctahedra, edges with four YAl12 cuboctahedra, edges with four equivalent AlY2Er2Al8 cuboctahedra, faces with two equivalent ErAl12 cuboctahedra, faces with two YAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. All Al–Al bond lengths are 3.05 Å. In the seventh Al site, Al is bonded to three Er, one Y, and eight Al atoms to form distorted AlYEr3Al8 cuboctahedra that share corners with four ErAl12 cuboctahedra, corners with fourteen AlYEr3Al8 cuboctahedra, edges with two equivalent YAl12 cuboctahedra, edges with four ErAl12 cuboctahedra, edges with four equivalent AlYEr3Al8 cuboctahedra, a faceface with one YAl12 cuboctahedra, faces with three ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are two shorter (3.04 Å) and two longer (3.06 Å) Al–Al bond lengths.

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 three equivalent MnO6 octahedra, corners with three equivalent 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 6–7°. There are a spread of Li–O bond distances ranging from 2.07–2.19 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 2–8°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. In the third 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 five 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 2.01–2.30 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 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the fifth 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, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.12–2.20 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 7–13°. There are a spread of Li–O bond distances ranging from 2.01–2.28 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.10–2.30 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 5–9°. 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 CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.04–2.17 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 6–7°. There are a spread of Mn–O bond distances ranging from 1.97–2.18 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mn–O bond distances ranging from 1.96–2.11 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 4–9°. There are a spread of Co–O bond distances ranging from 1.93–2.19 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 two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.94–2.17 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 6–8°. There are a spread of Co–O bond distances ranging from 1.99–2.11 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 two equivalent CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.79–1.97 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 5–10°. There are a spread of Co–O bond distances ranging from 1.99–2.08 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. 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 1–4°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the tenth 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 0–4°. In the eleventh 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 1–7°. In the twelfth 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 0–1°. In the thirteenth 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 0–4°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth 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°.

36 MATERIALS SCIENCE↗

Materials Data on LaTmS3 by Materials Project

TmLaS3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing TmS6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Tm–S bond distances ranging from 2.61–2.79 Å. In the second Tm3+ site, Tm3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing TmS6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Tm–S bond distances ranging from 2.64–2.80 Å. In the third Tm3+ site, Tm3+ is bonded to seven S2- atoms to form a mixture of distorted edge, corner, and face-sharing TmS7 pentagonal bipyramids. There are a spread of Tm–S bond distances ranging from 2.70–2.99 Å. In the fourth Tm3+ site, Tm3+ is bonded to seven S2- atoms to form a mixture of distorted edge, corner, and face-sharing TmS7 pentagonal bipyramids. There are a spread of Tm–S bond distances ranging from 2.71–2.96 Å. There are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.52 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.88–3.35 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.01 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.91–3.16 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Tm3+ and three equivalent La3+ atoms to form distorted SLa3Tm2 trigonal bipyramids that share corners with six SLa4Tm square pyramids, corners with two equivalent SLa2Tm2 tetrahedra, corners with two equivalent SLa2Tm2 trigonal pyramids, edges with four SLa4Tm square pyramids, edges with four equivalent SLa3Tm2 trigonal bipyramids, and an edgeedge with one SLa2Tm2 trigonal pyramid. In the second S2- site, S2- is bonded to two equivalent Tm3+ and two La3+ atoms to form distorted SLa2Tm2 trigonal pyramids that share corners with two equivalent SLa4Tm square pyramids, corners with two equivalent SLa2Tm2 tetrahedra, corners with six SLa3Tm2 trigonal bipyramids, corners with two equivalent SLa2Tm2 trigonal pyramids, edges with two equivalent SLa4Tm square pyramids, and edges with three SLa3Tm2 trigonal bipyramids. In the third S2- site, S2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and three La3+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Tm3+ and one La3+ atom. In the fifth S2- site, S2- is bonded to three equivalent Tm3+ and two equivalent La3+ atoms to form distorted SLa2Tm3 trigonal bipyramids that share corners with four equivalent SLa4Tm square pyramids, corners with two equivalent SLa4Tm trigonal bipyramids, corners with two equivalent SLa2Tm2 trigonal pyramids, edges with five SLa2Tm3 trigonal bipyramids, and a faceface with one SLa4Tm square pyramid. In the sixth S2- site, S2- is bonded to one Tm3+ and four La3+ atoms to form distorted SLa4Tm square pyramids that share corners with two equivalent SLa2Tm3 square pyramids, a cornercorner with one SLa2Tm2 tetrahedra, corners with six SLa3Tm2 trigonal bipyramids, edges with three SLa4Tm square pyramids, edges with five SLa3Tm2 trigonal bipyramids, and edges with two equivalent SLa2Tm2 trigonal pyramids. In the seventh S2- site, S2- is bonded to two Tm3+ and two equivalent La3+ atoms to form distorted SLa2Tm2 tetrahedra that share corners with six SLa4Tm square pyramids, corners with two equivalent SLa2Tm2 tetrahedra, corners with four SLa3Tm2 trigonal bipyramids, corners with two equivalent SLa2Tm2 trigonal pyramids, an edgeedge with one SLa4Tm square pyramid, and an edgeedge with one SLa4Tm trigonal bipyramid. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to four Tm3+ and one La3+ atom. In the ninth S2- site, S2- is bonded to one Tm3+ and four La3+ atoms to form distorted SLa4Tm trigonal bipyramids that share corners with four SLa4Tm square pyramids, corners with two equivalent SLa2Tm2 tetrahedra, corners with two equivalent SLa4Tm trigonal bipyramids, corners with two equivalent SLa2Tm2 trigonal pyramids, edges with two SLa4Tm square pyramids, an edgeedge with one SLa2Tm2 tetrahedra, edges with two equivalent SLa4Tm trigonal bipyramids, and a faceface with one SLa4Tm trigonal bipyramid. In the tenth S2- site, S2- is bonded to one Tm3+ and four La3+ atoms to form distorted SLa4Tm trigonal bipyramids that share corners with four SLa4Tm square pyramids, corners with four SLa2Tm3 trigonal bipyramids, edges with two SLa4Tm square pyramids, edges with three SLa2Tm3 trigonal bipyramids, edges with two equivalent SLa2Tm2 trigonal pyramids, and a faceface with one SLa4Tm trigonal bipyramid. In the eleventh S2- site, S2- is bonded to one Tm3+ and four La3+ atoms to form distorted SLa4Tm square pyramids that share corners with two equivalent SLa2Tm2 tetrahedra, corners with eight SLa2Tm3 trigonal bipyramids, corners with two equivalent SLa2Tm2 trigonal pyramids, edges with two equivalent SLa4Tm square pyramids, an edgeedge with one SLa2Tm2 tetrahedra, edges with two SLa4Tm trigonal bipyramids, and a faceface with one SLa2Tm3 trigonal bipyramid. In the twelfth S2- site, S2- is bonded to three equivalent Tm3+ and two equivalent La3+ atoms to form distorted SLa2Tm3 square pyramids that share corners with two equivalent SLa4Tm square pyramids, corners with three equivalent SLa2Tm2 tetrahedra, corners with four equivalent SLa3Tm2 trigonal bipyramids, edges with five SLa4Tm square pyramids, and an edgeedge with one SLa3Tm2 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on NaCeMg6 by Materials Project

NaMg6Ce is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Na is bonded to ten Mg and two equivalent Ce atoms to form NaCe2Mg10 cuboctahedra that share corners with six equivalent NaCe2Mg10 cuboctahedra, corners with twelve MgNa2Mg10 cuboctahedra, edges with four equivalent CeNa2Mg10 cuboctahedra, edges with fourteen MgNa2Mg10 cuboctahedra, faces with two equivalent NaCe2Mg10 cuboctahedra, faces with two equivalent CeNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ce2Mg8 cuboctahedra. There are a spread of Na–Mg bond distances ranging from 3.27–3.43 Å. Both Na–Ce bond lengths are 3.33 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Ce atoms to form distorted MgNa2Ce2Mg8 cuboctahedra that share corners with four equivalent CeNa2Mg10 cuboctahedra, corners with fourteen MgNa2Ce2Mg8 cuboctahedra, edges with two equivalent CeNa2Mg10 cuboctahedra, edges with four equivalent NaCe2Mg10 cuboctahedra, edges with twelve MgNa2Ce2Mg8 cuboctahedra, faces with two equivalent NaCe2Mg10 cuboctahedra, faces with two equivalent CeNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ce2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.26–3.42 Å. There are one shorter (3.33 Å) and one longer (3.42 Å) Mg–Ce bond lengths. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ce atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent CeNa2Mg10 cuboctahedra, corners with fourteen MgNa2Ce2Mg8 cuboctahedra, edges with two equivalent CeNa2Mg10 cuboctahedra, edges with sixteen MgNa2Mg10 cuboctahedra, faces with two equivalent CeNa2Mg10 cuboctahedra, faces with six equivalent NaCe2Mg10 cuboctahedra, and faces with twelve MgNa2Ce2Mg8 cuboctahedra. There are four shorter (3.27 Å) and two longer (3.30 Å) Mg–Mg bond lengths. Both Mg–Ce bond lengths are 3.37 Å. In the third Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Ce atoms to form distorted MgNa2Ce2Mg8 cuboctahedra that share corners with four equivalent NaCe2Mg10 cuboctahedra, corners with fourteen MgNa2Mg10 cuboctahedra, edges with two equivalent NaCe2Mg10 cuboctahedra, edges with four equivalent CeNa2Mg10 cuboctahedra, edges with twelve MgNa2Ce2Mg8 cuboctahedra, faces with two equivalent NaCe2Mg10 cuboctahedra, faces with two equivalent CeNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ce2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.34–3.39 Å. Both Mg–Ce bond lengths are 3.28 Å. In the fourth Mg site, Mg is bonded to two equivalent Na and ten Mg atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent NaCe2Mg10 cuboctahedra, corners with fourteen MgNa2Mg10 cuboctahedra, edges with two equivalent NaCe2Mg10 cuboctahedra, edges with sixteen MgNa2Ce2Mg8 cuboctahedra, faces with two equivalent NaCe2Mg10 cuboctahedra, faces with six equivalent CeNa2Mg10 cuboctahedra, and faces with twelve MgNa2Ce2Mg8 cuboctahedra. Ce is bonded to two equivalent Na and ten Mg atoms to form CeNa2Mg10 cuboctahedra that share corners with six equivalent CeNa2Mg10 cuboctahedra, corners with twelve MgNa2Ce2Mg8 cuboctahedra, edges with four equivalent NaCe2Mg10 cuboctahedra, edges with fourteen MgNa2Ce2Mg8 cuboctahedra, faces with two equivalent NaCe2Mg10 cuboctahedra, faces with two equivalent CeNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ce2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NaHfMg6 by Materials Project

NaMg6Hf crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Na is bonded to twelve Mg atoms to form NaMg12 cuboctahedra that share corners with four equivalent NaMg12 cuboctahedra, corners with eight equivalent HfMg12 cuboctahedra, edges with twenty-four MgNa2Hf2Mg8 cuboctahedra, faces with two equivalent NaMg12 cuboctahedra, faces with four equivalent HfMg12 cuboctahedra, and faces with twelve MgNa2Hf2Mg8 cuboctahedra. There are a spread of Na–Mg bond distances ranging from 3.19–3.50 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Hf atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with twelve equivalent MgNa2Hf2Mg8 cuboctahedra, edges with four equivalent NaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgNa2Hf2Mg8 cuboctahedra, faces with two equivalent NaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgNa2Hf2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.27 Å. There are one shorter (3.21 Å) and one longer (3.23 Å) Mg–Hf bond lengths. In the second Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Hf atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with twelve equivalent MgNa2Hf2Mg8 cuboctahedra, edges with four equivalent NaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgNa2Hf2Mg8 cuboctahedra, faces with two equivalent NaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgNa2Hf2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.40 Å. Both Mg–Hf bond lengths are 3.15 Å. In the third Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Hf atoms to form distorted MgNa2Hf2Mg8 cuboctahedra that share corners with twelve MgNa2Hf2Mg8 cuboctahedra, edges with four equivalent NaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgNa2Hf2Mg8 cuboctahedra, faces with two equivalent NaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgNa2Hf2Mg8 cuboctahedra. Both Mg–Hf bond lengths are 3.11 Å. In the fourth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Hf atoms to form MgNa2Hf2Mg8 cuboctahedra that share corners with twelve MgNa2Hf2Mg8 cuboctahedra, edges with four equivalent NaMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, edges with sixteen MgNa2Hf2Mg8 cuboctahedra, faces with two equivalent NaMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with fourteen MgNa2Hf2Mg8 cuboctahedra. Both Mg–Hf bond lengths are 3.13 Å. Hf is bonded to twelve Mg atoms to form HfMg12 cuboctahedra that share corners with four equivalent HfMg12 cuboctahedra, corners with eight equivalent NaMg12 cuboctahedra, edges with twenty-four MgNa2Hf2Mg8 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, faces with four equivalent NaMg12 cuboctahedra, and faces with twelve MgNa2Hf2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg6NiSb by Materials Project

Mg6NiSb crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg, two equivalent Ni, and two equivalent Sb atoms to form distorted MgMg8Ni2Sb2 cuboctahedra that share corners with four equivalent NiMg10Sb2 cuboctahedra, corners with fourteen MgMg8Ni2Sb2 cuboctahedra, edges with two equivalent NiMg10Sb2 cuboctahedra, edges with four equivalent SbMg10Ni2 cuboctahedra, edges with twelve MgMg8Ni2Sb2 cuboctahedra, faces with two equivalent NiMg10Sb2 cuboctahedra, faces with two equivalent SbMg10Ni2 cuboctahedra, and faces with sixteen MgMg8Ni2Sb2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.02–3.14 Å. There are one shorter (3.03 Å) and one longer (3.12 Å) Mg–Ni bond lengths. Both Mg–Sb bond lengths are 3.11 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ni atoms to form distorted MgMg10Ni2 cuboctahedra that share corners with four equivalent NiMg10Sb2 cuboctahedra, corners with fourteen MgMg8Ni2Sb2 cuboctahedra, edges with two equivalent NiMg10Sb2 cuboctahedra, edges with sixteen MgMg8Ni2Sb2 cuboctahedra, faces with two equivalent NiMg10Sb2 cuboctahedra, faces with six equivalent SbMg10Ni2 cuboctahedra, and faces with twelve MgMg8Ni2Sb2 cuboctahedra. There are two shorter (3.07 Å) and four longer (3.09 Å) Mg–Mg bond lengths. Both Mg–Ni bond lengths are 3.08 Å. In the third Mg site, Mg is bonded to eight Mg, two equivalent Ni, and two equivalent Sb atoms to form distorted MgMg8Ni2Sb2 cuboctahedra that share corners with four equivalent SbMg10Ni2 cuboctahedra, corners with fourteen MgMg8Ni2Sb2 cuboctahedra, edges with two equivalent SbMg10Ni2 cuboctahedra, edges with four equivalent NiMg10Sb2 cuboctahedra, edges with twelve MgMg8Ni2Sb2 cuboctahedra, faces with two equivalent NiMg10Sb2 cuboctahedra, faces with two equivalent SbMg10Ni2 cuboctahedra, and faces with sixteen MgMg8Ni2Sb2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.00–3.16 Å. Both Mg–Ni bond lengths are 3.05 Å. There are one shorter (2.99 Å) and one longer (3.17 Å) Mg–Sb bond lengths. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Sb atoms to form distorted MgMg10Sb2 cuboctahedra that share corners with four equivalent SbMg10Ni2 cuboctahedra, corners with fourteen MgMg8Ni2Sb2 cuboctahedra, edges with two equivalent SbMg10Ni2 cuboctahedra, edges with sixteen MgMg8Ni2Sb2 cuboctahedra, faces with two equivalent SbMg10Ni2 cuboctahedra, faces with six equivalent NiMg10Sb2 cuboctahedra, and faces with twelve MgMg8Ni2Sb2 cuboctahedra. Both Mg–Sb bond lengths are 3.08 Å. Ni is bonded to ten Mg and two equivalent Sb atoms to form NiMg10Sb2 cuboctahedra that share corners with six equivalent NiMg10Sb2 cuboctahedra, corners with twelve MgMg8Ni2Sb2 cuboctahedra, edges with four equivalent SbMg10Ni2 cuboctahedra, edges with fourteen MgMg8Ni2Sb2 cuboctahedra, faces with two equivalent NiMg10Sb2 cuboctahedra, faces with two equivalent SbMg10Ni2 cuboctahedra, and faces with sixteen MgMg8Ni2Sb2 cuboctahedra. Both Ni–Sb bond lengths are 3.06 Å. Sb is bonded to ten Mg and two equivalent Ni atoms to form SbMg10Ni2 cuboctahedra that share corners with six equivalent SbMg10Ni2 cuboctahedra, corners with twelve MgMg8Ni2Sb2 cuboctahedra, edges with four equivalent NiMg10Sb2 cuboctahedra, edges with fourteen MgMg8Ni2Sb2 cuboctahedra, faces with two equivalent NiMg10Sb2 cuboctahedra, faces with two equivalent SbMg10Ni2 cuboctahedra, and faces with sixteen MgMg8Ni2Sb2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mg23B54 by Materials Project

Li4Mg23B54 is hexagonal omega structure-derived structured and crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. there are two inequivalent Li sites. In the first Li site, Li is bonded to twelve B atoms to form LiB12 cuboctahedra that share edges with twelve MgB12 cuboctahedra, faces with two MgB12 cuboctahedra, and faces with six equivalent LiB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.49 Å) Li–B bond lengths. In the second Li site, Li is bonded to twelve B atoms to form LiB12 cuboctahedra that share edges with twelve MgB12 cuboctahedra, faces with two MgB12 cuboctahedra, and faces with six equivalent LiB12 cuboctahedra. All Li–B bond lengths are 2.48 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven MgB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.51 Å) Mg–B bond lengths. In the second Mg site, Mg is bonded to twelve B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. In the third Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven MgB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.53 Å) Mg–B bond lengths. In the fourth Mg site, Mg is bonded to twelve equivalent B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. In the fifth Mg site, Mg is bonded to twelve B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. There are six shorter (2.49 Å) and six longer (2.50 Å) Mg–B bond lengths. In the sixth Mg site, Mg is bonded to twelve equivalent B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. In the seventh Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven equivalent MgB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.52 Å) Mg–B bond lengths. In the eighth Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven MgB12 cuboctahedra. There are six shorter (2.49 Å) and six longer (2.52 Å) Mg–B bond lengths. In the ninth Mg site, Mg is bonded to twelve B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. There are ten inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the second B site, B is bonded in a 9-coordinate geometry to six equivalent Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the third B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the fourth B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the fifth B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the sixth B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the seventh B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the eighth B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the ninth B site, B is bonded in a 9-coordinate geometry to six equivalent Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the tenth B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å.

36 MATERIALS SCIENCE↗

Materials Data on Na2SnSe3 by Materials Project

Na2SnSe3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Se2- atoms to form NaSe6 octahedra that share corners with two equivalent NaSe6 octahedra, corners with three equivalent SnSe4 tetrahedra, corners with six equivalent NaSe5 trigonal bipyramids, edges with three equivalent NaSe6 octahedra, edges with two equivalent SnSe4 tetrahedra, and edges with two equivalent NaSe5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 19°. There are a spread of Na–Se bond distances ranging from 2.98–3.27 Å. In the second Na1+ site, Na1+ is bonded to five Se2- atoms to form NaSe5 trigonal bipyramids that share corners with six equivalent NaSe6 octahedra, corners with two equivalent SnSe4 tetrahedra, corners with two equivalent NaSe5 trigonal bipyramids, edges with two equivalent NaSe6 octahedra, edges with two equivalent SnSe4 tetrahedra, and edges with two equivalent NaSe5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 16–89°. There are a spread of Na–Se bond distances ranging from 3.02–3.20 Å. Sn4+ is bonded to four Se2- atoms to form SnSe4 tetrahedra that share corners with three equivalent NaSe6 octahedra, corners with two equivalent SnSe4 tetrahedra, corners with two equivalent NaSe5 trigonal bipyramids, edges with two equivalent NaSe6 octahedra, and edges with two equivalent NaSe5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 25–68°. There are a spread of Sn–Se bond distances ranging from 2.52–2.62 Å. There are three inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to five Na1+ and one Sn4+ atom to form distorted SeNa5Sn pentagonal pyramids that share corners with two equivalent SeNa5Sn pentagonal pyramids, corners with four equivalent SeNa4Sn trigonal bipyramids, corners with three equivalent SeNa2Sn2 trigonal pyramids, edges with three equivalent SeNa5Sn pentagonal pyramids, edges with three equivalent SeNa4Sn trigonal bipyramids, and edges with two equivalent SeNa2Sn2 trigonal pyramids. In the second Se2- site, Se2- is bonded to four Na1+ and one Sn4+ atom to form distorted SeNa4Sn trigonal bipyramids that share corners with four equivalent SeNa5Sn pentagonal pyramids, corners with two equivalent SeNa4Sn trigonal bipyramids, corners with four equivalent SeNa2Sn2 trigonal pyramids, edges with three equivalent SeNa5Sn pentagonal pyramids, edges with two equivalent SeNa4Sn trigonal bipyramids, and an edgeedge with one SeNa2Sn2 trigonal pyramid. In the third Se2- site, Se2- is bonded to two Na1+ and two equivalent Sn4+ atoms to form distorted SeNa2Sn2 trigonal pyramids that share corners with three equivalent SeNa5Sn pentagonal pyramids, corners with four equivalent SeNa4Sn trigonal bipyramids, corners with two equivalent SeNa2Sn2 trigonal pyramids, edges with two equivalent SeNa5Sn pentagonal pyramids, and an edgeedge with one SeNa4Sn trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on Al5Mo by Materials Project

Al5Mo crystallizes in the trigonal P321 space group. The structure is three-dimensional. there are five inequivalent Mo sites. In the first Mo site, Mo is bonded to twelve Al atoms to form MoAl12 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent MoAl12 cuboctahedra, edges with six AlAl10Mo2 cuboctahedra, and faces with fourteen AlAl10Mo2 cuboctahedra. There are a spread of Mo–Al bond distances ranging from 2.71–2.85 Å. In the second Mo site, Mo is bonded to twelve Al atoms to form MoAl12 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent MoAl12 cuboctahedra, and faces with eight AlAl9Mo3 cuboctahedra. There are a spread of Mo–Al bond distances ranging from 2.72–2.85 Å. In the third Mo site, Mo is bonded to twelve Al atoms to form MoAl12 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent MoAl12 cuboctahedra, and faces with eight AlAl9Mo3 cuboctahedra. There are a spread of Mo–Al bond distances ranging from 2.70–2.86 Å. In the fourth Mo site, Mo is bonded to twelve Al atoms to form MoAl12 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent MoAl12 cuboctahedra, and faces with eight AlAl9Mo3 cuboctahedra. There are a spread of Mo–Al bond distances ranging from 2.71–2.85 Å. In the fifth Mo site, Mo is bonded to twelve Al atoms to form MoAl12 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent MoAl12 cuboctahedra, edges with six AlAl10Mo2 cuboctahedra, and faces with fourteen AlAl10Mo2 cuboctahedra. There are a spread of Mo–Al bond distances ranging from 2.72–2.85 Å. There are eighteen inequivalent Al sites. In the first Al site, Al is bonded to two Mo and ten Al atoms to form distorted AlAl10Mo2 cuboctahedra that share corners with six AlAl10Mo2 cuboctahedra, edges with four MoAl12 cuboctahedra, edges with fourteen AlAl10Mo2 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with fourteen AlAl10Mo2 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.73–2.92 Å. In the second Al site, Al is bonded in a distorted bent 150 degrees geometry to two Mo and four Al atoms. There are a spread of Al–Al bond distances ranging from 2.72–2.80 Å. In the third Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with nine MoAl12 cuboctahedra, corners with nine AlAl9Mo3 cuboctahedra, edges with twelve AlAl10Mo2 cuboctahedra, faces with three equivalent MoAl12 cuboctahedra, and faces with eleven AlAl10Mo2 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.76–2.85 Å. In the fourth Al site, Al is bonded in a distorted bent 150 degrees geometry to two Mo and four Al atoms. There are a spread of Al–Al bond distances ranging from 2.71–2.79 Å. In the fifth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent AlAl9Mo3 cuboctahedra, faces with four equivalent MoAl12 cuboctahedra, and faces with four AlAl9Mo3 cuboctahedra. There are three shorter (2.79 Å) and three longer (2.86 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a distorted bent 150 degrees geometry to two equivalent Mo and four Al atoms. Both Al–Al bond lengths are 2.72 Å. In the seventh Al site, Al is bonded in a distorted bent 150 degrees geometry to two equivalent Mo and four Al atoms. There are two shorter (2.72 Å) and two longer (2.80 Å) Al–Al bond lengths. In the eighth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with six equivalent MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent AlAl9Mo3 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with four AlAl9Mo3 cuboctahedra. There are three shorter (2.79 Å) and three longer (2.86 Å) Al–Al bond lengths. In the ninth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with six equivalent MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent AlAl9Mo3 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with four AlAl9Mo3 cuboctahedra. In the tenth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent AlAl9Mo3 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with four AlAl9Mo3 cuboctahedra. All Al–Al bond lengths are 2.86 Å. In the eleventh Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent AlAl9Mo3 cuboctahedra, faces with four equivalent MoAl12 cuboctahedra, and faces with four AlAl9Mo3 cuboctahedra. All Al–Al bond lengths are 2.71 Å. In the twelfth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with nine MoAl12 cuboctahedra, corners with nine AlAl9Mo3 cuboctahedra, edges with twelve AlAl10Mo2 cuboctahedra, faces with three equivalent MoAl12 cuboctahedra, and faces with eleven AlAl10Mo2 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.85 Å. In the thirteenth Al site, Al is bonded in a distorted bent 150 degrees geometry to two Mo and four Al atoms. The Al–Al bond length is 2.74 Å. In the fourteenth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with three equivalent MoAl12 cuboctahedra, corners with fifteen AlAl9Mo3 cuboctahedra, edges with twelve AlAl10Mo2 cuboctahedra, faces with five MoAl12 cuboctahedra, and faces with nine AlAl10Mo2 cuboctahedra. The Al–Al bond length is 2.73 Å. In the fifteenth Al site, Al is bonded to two Mo and ten Al atoms to form distorted AlAl10Mo2 cuboctahedra that share corners with six equivalent AlAl10Mo2 cuboctahedra, edges with four MoAl12 cuboctahedra, edges with fourteen AlAl9Mo3 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with fourteen AlAl10Mo2 cuboctahedra. The Al–Mo bond length is 2.76 Å. There are a spread of Al–Al bond distances ranging from 2.73–2.92 Å. In the sixteenth Al site, Al is bonded to two Mo and ten Al atoms to form distorted AlAl10Mo2 cuboctahedra that share corners with six equivalent AlAl10Mo2 cuboctahedra, edges with four MoAl12 cuboctahedra, edges with fourteen AlAl9Mo3 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with fourteen AlAl10Mo2 cuboctahedra. The Al–Mo bond length is 2.76 Å. There are a spread of Al–Al bond distances ranging from 2.73–2.77 Å. In the seventeenth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with three equivalent MoAl12 cuboctahedra, corners with fifteen AlAl9Mo3 cuboctahedra, edges with twelve AlAl10Mo2 cuboctahedra, faces with five MoAl12 cuboctahedra, and faces with nine AlAl10Mo2 cuboctahedra. In the eighteenth Al site, Al is bonded to three equivalent Mo and nine Al atoms to form distorted AlAl9Mo3 cuboctahedra that share corners with six MoAl12 cuboctahedra, corners with twelve AlAl9Mo3 cuboctahedra, edges with six equivalent AlAl9Mo3 cuboctahedra, faces with four MoAl12 cuboctahedra, and faces with four AlAl9Mo3 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ca3InP3 by Materials Project

Ca3InP3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six P3- atoms to form CaP6 octahedra that share corners with four equivalent CaP5 square pyramids, corners with three equivalent InP4 tetrahedra, corners with three equivalent CaP5 trigonal bipyramids, edges with four equivalent CaP6 octahedra, edges with three equivalent InP4 tetrahedra, edges with three equivalent CaP5 trigonal bipyramids, and a faceface with one CaP5 square pyramid. There are a spread of Ca–P bond distances ranging from 2.94–3.35 Å. In the second Ca2+ site, Ca2+ is bonded to five P3- atoms to form distorted CaP5 trigonal bipyramids that share corners with three equivalent CaP6 octahedra, corners with six equivalent CaP5 square pyramids, corners with two equivalent InP4 tetrahedra, edges with three equivalent CaP6 octahedra, edges with two equivalent CaP5 square pyramids, edges with two equivalent InP4 tetrahedra, and edges with two equivalent CaP5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–31°. There are a spread of Ca–P bond distances ranging from 2.84–3.03 Å. In the third Ca2+ site, Ca2+ is bonded to five P3- atoms to form CaP5 square pyramids that share corners with four equivalent CaP6 octahedra, corners with five equivalent InP4 tetrahedra, corners with six equivalent CaP5 trigonal bipyramids, edges with four equivalent CaP5 square pyramids, edges with two equivalent CaP5 trigonal bipyramids, and a faceface with one CaP6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ca–P bond distances ranging from 2.93–3.04 Å. In3+ is bonded to four P3- atoms to form InP4 tetrahedra that share corners with three equivalent CaP6 octahedra, corners with five equivalent CaP5 square pyramids, corners with two equivalent InP4 tetrahedra, corners with two equivalent CaP5 trigonal bipyramids, edges with three equivalent CaP6 octahedra, and edges with two equivalent CaP5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 17–47°. There are a spread of In–P bond distances ranging from 2.59–2.64 Å. There are three inequivalent P3- sites. In the first P3- site, P3- is bonded to four Ca2+ and two equivalent In3+ atoms to form distorted PCa4In2 octahedra that share corners with seven PCa6In pentagonal bipyramids, edges with four equivalent PCa4In2 octahedra, and edges with five PCa6In pentagonal bipyramids. In the second P3- site, P3- is bonded to six Ca2+ and one In3+ atom to form distorted PCa6In pentagonal bipyramids that share corners with four equivalent PCa4In2 octahedra, corners with four equivalent PCa6In pentagonal bipyramids, edges with three equivalent PCa4In2 octahedra, edges with three equivalent PCa6In pentagonal bipyramids, and faces with three PCa6In pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 3–79°. In the third P3- site, P3- is bonded to six Ca2+ and one In3+ atom to form distorted PCa6In pentagonal bipyramids that share corners with three equivalent PCa4In2 octahedra, corners with four equivalent PCa6In pentagonal bipyramids, edges with two equivalent PCa4In2 octahedra, edges with seven PCa6In pentagonal bipyramids, and a faceface with one PCa6In pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 7–63°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Mn2Cr3O16 by Materials Project

Li4Ti3Cr3Mn2O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent MnO6 octahedra, corners with four TiO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There is one shorter (1.98 Å) and three longer (1.99 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one TiO6 octahedra, corners with two equivalent CrO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Li–O bond distances ranging from 1.76–1.99 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent MnO6 octahedra, corners with four CrO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.99 Å) and one longer (2.01 Å) Li–O bond lengths. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and edges with four equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent TiO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.90–2.03 Å. There are two inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with four equivalent TiO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.96–2.13 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr4+, and one Mn2+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn2+ atom to form distorted OLiTi2Mn tetrahedra that share corners with four OLiTi2Cr tetrahedra and edges with two equivalent OLiTiMnCr tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr4+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr4+ atom to form distorted corner-sharing OLiTi2Cr tetrahedra. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, one Ti4+, and two equivalent Cr4+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr4+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLiTiMnCr tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Mn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Cr4+, and one Mn2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr4+, and one Mn2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr4+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr4+, and one Mn2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cr4+, and one Mn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba16Tb8Nb5(SnO16)3 by Materials Project

Ba16Tb8Nb5(SnO16)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.98–3.12 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four TbO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.98–3.10 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four TbO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.12 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.15 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.13 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.99–3.11 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.98–3.11 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, faces with two equivalent SnO6 octahedra, and faces with four TbO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.00–3.12 Å. There are eight inequivalent Tb+3.38+ sites. In the first Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, corners with five NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are one shorter (2.17 Å) and five longer (2.28 Å) Tb–O bond lengths. In the second Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.26–2.29 Å. In the third Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.20–2.29 Å. In the fourth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with two NbO6 octahedra, corners with four equivalent SnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.23–2.30 Å. In the fifth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with two SnO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.21–2.28 Å. In the sixth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, a cornercorner with one NbO6 octahedra, corners with four equivalent SnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.18–2.29 Å. In the seventh Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, a cornercorner with one SnO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.20–2.28 Å. In the eighth Tb+3.38+ site, Tb+3.38+ is bonded to six O2- atoms to form TbO6 octahedra that share a cornercorner with one TbO6 octahedra, a cornercorner with one NbO6 octahedra, corners with four equivalent SnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Tb–O bond distances ranging from 2.19–2.33 Å. There are five inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.02–2.07 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. All Nb–O bond lengths are 2.03 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.01–2.06 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are one shorter (2.02 Å) and five longer (2.03 Å) Nb–O bond lengths. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.00–2.07 Å. There are three inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six TbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sn–O bond distances ranging from 2.08–2.10 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sn–O bond distances ranging from 2.06–2.22 Å. In the third Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sn–O bond distances ranging from 2.07–2.22 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Tb+3.38+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Nb5+, and one Sn4+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Sn4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Nb5+, and one Sn4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Tb+3.38+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tb+3.38+, and one Sn4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Tb+3.38+, and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sn(BiTe2)2 by Materials Project

SnBi2Te4 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Sn2+ sites. In the first Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with five BiTe6 octahedra, edges with four SnTe6 octahedra, and edges with eight BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Sn–Te bond distances ranging from 3.12–3.25 Å. In the second Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with four BiTe6 octahedra, edges with three BiTe6 octahedra, and edges with six SnTe6 octahedra. The corner-sharing octahedra tilt angles range from 6–55°. There are a spread of Sn–Te bond distances ranging from 3.02–3.47 Å. In the third Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with five BiTe6 octahedra, edges with six SnTe6 octahedra, and edges with six BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Sn–Te bond distances ranging from 3.14–3.24 Å. In the fourth Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with four SnTe6 octahedra, edges with four BiTe6 octahedra, and a faceface with one BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 8–48°. There are a spread of Sn–Te bond distances ranging from 3.05–3.41 Å. In the fifth Sn2+ site, Sn2+ is bonded to six Te2- atoms to form SnTe6 octahedra that share corners with five BiTe6 octahedra, edges with two equivalent SnTe6 octahedra, edges with five BiTe6 octahedra, and a faceface with one BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 3–48°. There are a spread of Sn–Te bond distances ranging from 3.14–3.27 Å. There are ten inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with five BiTe6 octahedra, edges with two equivalent SnTe6 octahedra, and edges with five BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–50°. There are a spread of Bi–Te bond distances ranging from 3.03–3.39 Å. In the second Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with two equivalent SnTe6 octahedra, and edges with six BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–49°. There are a spread of Bi–Te bond distances ranging from 3.17–3.20 Å. In the third Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with two equivalent SnTe6 octahedra, an edgeedge with one SnTe6 octahedra, and edges with eight BiTe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Bi–Te bond distances ranging from 3.10–3.28 Å. In the fourth Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with two equivalent SnTe6 octahedra, and edges with seven BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Bi–Te bond distances ranging from 2.98–3.42 Å. In the fifth Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share a cornercorner with one SnTe6 octahedra, corners with five BiTe6 octahedra, edges with two equivalent SnTe6 octahedra, and edges with eight BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Bi–Te bond distances ranging from 3.00–3.29 Å. In the sixth Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share a cornercorner with one BiTe6 octahedra, corners with two equivalent SnTe6 octahedra, edges with four BiTe6 octahedra, and edges with five SnTe6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Bi–Te bond distances ranging from 3.01–3.40 Å. In the seventh Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share a cornercorner with one BiTe6 octahedra, corners with two equivalent SnTe6 octahedra, edges with three SnTe6 octahedra, and edges with six BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Bi–Te bond distances ranging from 3.05–3.36 Å. In the eighth Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with two equivalent SnTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with three SnTe6 octahedra, and edges with six BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Bi–Te bond distances ranging from 3.13–3.22 Å. In the ninth Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with six SnTe6 octahedra, corners with six BiTe6 octahedra, edges with two equivalent BiTe6 octahedra, and faces with two SnTe6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Bi–Te bond distances ranging from 3.08–3.29 Å. In the tenth Bi3+ site, Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with two BiTe6 octahedra, corners with four SnTe6 octahedra, edges with four BiTe6 octahedra, and edges with six SnTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Bi–Te bond distances ranging from 3.10–3.32 Å. There are twenty inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to one Sn2+ and three Bi3+ atoms. In the second Te2- site, Te2- is bonded in a rectangular see-saw-like geometry to one Sn2+ and three Bi3+ atoms. In the third Te2- site, Te2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the fourth Te2- site, Te2- is bonded to one Sn2+ and five Bi3+ atoms to form TeSnBi5 octahedra that share a cornercorner with one TeSn4Bi2 octahedra, corners with two equivalent TeBi5 square pyramids, edges with six TeSnBi5 octahedra, and an edgeedge with one TeBi5 square pyramid. The corner-sharing octahedral tilt angles are 1°. In the fifth Te2- site, Te2- is bonded to five Bi3+ atoms to form TeBi5 square pyramids that share corners with two equivalent TeSnBi5 octahedra, edges with three TeSnBi5 octahedra, and edges with two equivalent TeBi5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the sixth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the seventh Te2- site, Te2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighth Te2- site, Te2- is bonded to three Sn2+ and three Bi3+ atoms to form TeSn3Bi3 octahedra that share corners with three TeSn4Bi2 octahedra and edges with nine TeSnBi5 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the ninth Te2- site, Te2- is bonded to two equivalent Sn2+ and four Bi3+ atoms to form TeSn2Bi4 octahedra that share corners with two equivalent TeSn3Bi3 octahedra, edges with seven TeSnBi5 octahedra, and edges with two equivalent TeBi5 square pyramids. The corner-sharing octahedral tilt angles are 3°. In the tenth Te2- site, Te2- is bonded in a 3-coordinate geometry to two equivalent Sn2+ and one Bi3+ atom. In the eleventh Te2- site, Te2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twelfth Te2- site, Te2- is bonded to two equivalent Sn2+ and four Bi3+ atoms to form TeSn2Bi4 octahedra that share corners with two equivalent TeSn4Bi2 octahedra, edges with seven TeSn3Bi3 octahedra, and edges with two equivalent TeSn2Bi3 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the thirteenth Te2- site, Te2- is bonded to four Sn2+ and two equivalent Bi3+ atoms to form TeSn4Bi2 octahedra that share corners with three TeSnBi5 octahedra and edges with nine TeSn3Bi3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourteenth Te2- site, Te2- is bonded in a 5-coordinate geometry to three Sn2+ and two equivalent Bi3+ atoms. In the fifteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the sixteenth Te2- site, Te2- is bonded to two equivalent Sn2+ and three Bi3+ atoms to form TeSn2Bi3 square pyramids that share corners with two equivalent TeSn4Bi2 octahedra, edges with three TeSn2Bi4 octahedra, and edges with two equivalent TeSn2Bi3 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the seventeenth Te2- site, Te2- is bonded to four Sn2+ and two equivalent Bi3+ atoms to form TeSn4Bi2 octahedra that share a cornercorner with one TeSn3Bi3 octahedra, corners with two equivalent TeSn2Bi3 square pyramids, edges with six TeSn2Bi4 octahedra, and an edgeedge with one TeSn2Bi3 square pyramid. The corner-sharing octahedral tilt angles are 2°. In the eighteenth Te2- site, Te2- is bonded in a rectangular see-saw-like geometry to one Sn2+ and three Bi3+ atoms. In the nineteenth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Sn2+ and two Bi3+ atoms. In the twentieth Te2- site, Te2- is bonded in a 5-coordinate geometry to two equivalent Sn2+ and three Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ag15Bi7I40 by Materials Project

Ag15Bi7I40 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share corners with three AgI6 octahedra, edges with two equivalent BiI6 octahedra, and edges with seven AgI6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ag–I bond distances ranging from 2.90–3.23 Å. In the second Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.98–3.26 Å. In the third Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.94–3.30 Å. In the fourth Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.97–3.26 Å. In the fifth Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.29 Å. In the sixth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.12 Å. In the seventh Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.87–3.09 Å. In the eighth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.09 Å. In the ninth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.90–3.09 Å. In the tenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form edge-sharing AgI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.88–3.10 Å. In the eleventh Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Ag–I bond distances ranging from 2.89–3.32 Å. In the twelfth Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ag–I bond distances ranging from 2.98–3.14 Å. In the thirteenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ag–I bond distances ranging from 2.86–3.32 Å. In the fourteenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form a mixture of corner and edge-sharing AgI6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Ag–I bond distances ranging from 2.90–3.23 Å. In the fifteenth Ag1+ site, Ag1+ is bonded to six I1- atoms to form AgI6 octahedra that share a cornercorner with one BiI6 octahedra, corners with five AgI6 octahedra, and edges with ten AgI6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Ag–I bond distances ranging from 2.92–3.19 Å. There are seven inequivalent Bi+3.57+ sites. In the first Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share a cornercorner with one AgI6 octahedra, edges with two equivalent BiI6 octahedra, and edges with four AgI6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Bi–I bond distances ranging from 2.98–3.18 Å. In the second Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.88–3.28 Å. In the third Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form edge-sharing BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.02–3.27 Å. In the fourth Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.86–3.31 Å. In the fifth Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form edge-sharing BiI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.03–3.27 Å. In the sixth Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.93–3.23 Å. In the seventh Bi+3.57+ site, Bi+3.57+ is bonded to six I1- atoms to form BiI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 2.95–3.21 Å. There are forty inequivalent I1- sites. In the first I1- site, I1- is bonded in a rectangular see-saw-like geometry to three Ag1+ and one Bi+3.57+ atom. In the second I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the third I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the fourth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the fifth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the sixth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the seventh I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the eighth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the ninth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the tenth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the eleventh I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the twelfth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the thirteenth I1- site, I1- is bonded in a 3-coordinate geometry to three Bi+3.57+ atoms. In the fourteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the fifteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the sixteenth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the seventeenth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the eighteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the nineteenth I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the twentieth I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the twenty-first I1- site, I1- is bonded in a 3-coordinate geometry to one Ag1+ and two equivalent Bi+3.57+ atoms. In the twenty-second I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the twenty-third I1- site, I1- is bonded in a 3-coordinate geometry to two equivalent Ag1+ and one Bi+3.57+ atom. In the twenty-fourth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-fifth I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the twenty-sixth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-seventh I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-eighth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the twenty-ninth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirtieth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-first I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-second I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the thirty-third I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-fourth I1- site, I1- is bonded in a distorted T-shaped geometry to three Ag1+ atoms. In the thirty-fifth I1- site, I1- is bonded in a 3-coordinate geometry to three Ag1+ atoms. In the thirty-sixth I1- site, I1- is bonded to five Ag1+ atoms to form IAg5 square pyramids that share corners with two equivalent IAg6 octahedra, a cornercorner with one IAg5 square pyramid, edges with five IAg6 octahedra, and edges with two equivalent IAg5 square pyramids. The corner-sharing octahedral tilt angles are 9°. In the thirty-seventh I1- site, I1- is bonded in a rectangular see-saw-like geometry to four Ag1+ atoms. In the thirty-eighth I1- site, I1- is bonded to six Ag1+ atoms to form IAg6 octahedra that share corners with two equivalent IAg6 octahedra, corners with two equivalent IAg5 square pyramids, edges with five IAg6 octahedra, and edges with five IAg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the thirty-ninth I1- site, I1- is bonded to six Ag1+ atoms to form IAg6 octahedra that share corners with two equivalent IAg6 octahedra, corners with two equivalent IAg5 square pyramids, edges with five IAg6 octahedra, and edges with five IAg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the fortieth I1- site, I1- is bonded to five Ag1+ atoms to form IAg5 square pyramids that share corners with two equivalent IAg6 octahedra, a cornercorner with one IAg5 square pyramid, edges with five IAg6 octahedra, and edges with two equivalent IAg5 square pyramids. The corner-sharing octahedral tilt angles are 5°.

36 MATERIALS SCIENCE↗

Materials Data on Sr16Fe6Co2Mo8O45 by Materials Project

Sr16Mo8Fe6Co2O45 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent CoO6 octahedra, faces with four MoO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.64–3.15 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.57–3.13 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent CoO6 octahedra, faces with four MoO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.65–3.17 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–3.24 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.58–3.14 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–3.02 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.19 Å. In the eighth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, faces with two equivalent FeO6 octahedra, faces with two equivalent FeO5 square pyramids, and faces with two equivalent MoO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.63–3.17 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.99 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–3.02 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.66–3.08 Å. In the twelfth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, faces with two equivalent FeO6 octahedra, faces with two equivalent FeO5 square pyramids, and faces with two equivalent MoO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.63–3.18 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.08 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–3.01 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.65–3.04 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.08 Å. There are eight inequivalent Mo+4.50+ sites. In the first Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with four SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mo–O bond distances ranging from 1.87–2.06 Å. In the second Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Mo–O bond distances ranging from 1.89–1.99 Å. In the third Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mo–O bond distances ranging from 1.93–1.97 Å. In the fourth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 square pyramids that share a cornercorner with one CoO6 octahedra and corners with four equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–21°. There are a spread of Mo–O bond distances ranging from 1.89–2.03 Å. In the fifth Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mo–O bond distances ranging from 1.86–2.09 Å. In the sixth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 trigonal bipyramids that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–26°. There are a spread of Mo–O bond distances ranging from 1.89–2.01 Å. In the seventh Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.89–2.06 Å. In the eighth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 trigonal bipyramids that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–24°. There is three shorter (1.89 Å) and two longer (2.03 Å) Mo–O bond length. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra and corners with four equivalent MoO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Fe–O bond distances ranging from 2.04–2.22 Å. In the second Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with four equivalent MoO6 octahedra, a cornercorner with one MoO5 trigonal bipyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra, corners with four equivalent MoO5 trigonal bipyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.06–2.22 Å. In the fourth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with five MoO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Fe–O bond distances ranging from 2.00–2.17 Å. In the fifth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with four equivalent MoO6 octahedra, a cornercorner with one MoO5 trigonal bipyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–16°. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra, corners with four equivalent MoO5 trigonal bipyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.05–2.22 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Co–O bond distances ranging from 2.06–2.13 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five MoO6 octahedra, a cornercorner with one MoO5 square pyramid, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Co–O bond distances ranging from 1.97–2.15 Å. There are forty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+, one Mo+4.50+, and one Co2+ atom to form distorted corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on Li4Cu3Sb(PO4)4 by Materials Project

Li4Cu3Sb(PO4)4 is Hausmannite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CuO6 pentagonal pyramids, corners with two PO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent LiO6 octahedra, an edgeedge with one CuO6 pentagonal pyramid, and edges with two PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with two equivalent CuO6 pentagonal pyramids, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two CuO6 pentagonal pyramids, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Li–O bond distances ranging from 2.05–2.38 Å. There are three inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to six O2- atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–74°. There are a spread of Cu–O bond distances ranging from 2.03–2.35 Å. In the second Cu1+ site, Cu1+ is bonded to six O2- atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent SbO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–74°. There are a spread of Cu–O bond distances ranging from 2.02–2.46 Å. In the third Cu1+ site, Cu1+ is bonded to six O2- atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–73°. There are a spread of Cu–O bond distances ranging from 2.03–2.42 Å. Sb5+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Sb–O bond distances ranging from 2.17–2.46 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CuO6 pentagonal pyramids, edges with two equivalent LiO6 octahedra, and an edgeedge with one CuO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–56°. There is three shorter (1.55 Å) and one longer (1.61 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CuO6 pentagonal pyramids, an edgeedge with one SbO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four CuO6 pentagonal pyramids, edges with two equivalent LiO6 octahedra, and an edgeedge with one CuO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent SbO6 octahedra, corners with two CuO6 pentagonal pyramids, edges with two equivalent LiO6 octahedra, and an edgeedge with one CuO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Sb5+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cu1+, one Sb5+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Sb5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Cu1+, one Sb5+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom.

36 MATERIALS SCIENCE↗