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Materials Data on SbPt7 by Materials Project

Pt7Sb crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Pt+0.43- sites. In the first Pt+0.43- site, Pt+0.43- is bonded to twelve Pt+0.43- atoms to form PtPt12 cuboctahedra that share corners with twelve equivalent PtPt12 cuboctahedra, edges with twenty-four PtSb2Pt10 cuboctahedra, faces with six equivalent SbPt12 cuboctahedra, and faces with twelve PtSb2Pt10 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. In the second Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the third Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the fourth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the fifth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the sixth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the seventh Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the eighth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the ninth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the tenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the eleventh Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the twelfth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the thirteenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the fourteenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the fifteenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the sixteenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the seventeenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the eighteenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the nineteenth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the twentieth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the twenty-first Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. The Pt–Pt bond length is 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the twenty-second Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the twenty-third Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Pt bond lengths are 2.85 Å. Both Pt–Sb bond lengths are 2.85 Å. In the twenty-fourth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Sb bond lengths are 2.85 Å. In the twenty-fifth Pt+0.43- site, Pt+0.43- is bonded to ten Pt+0.43- and two equivalent Sb3+ atoms to form PtSb2Pt10 cuboctahedra that share corners with twelve PtSb2Pt10 cuboctahedra, edges with four equivalent SbPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent SbPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Sb bond lengths are 2.85 Å. Sb3+ is bonded to twelve Pt+0.43- atoms to form SbPt12 cuboctahedra that share corners with twelve equivalent SbPt12 cuboctahedra, edges with twenty-four PtSb2Pt10 cuboctahedra, and faces with eighteen PtPt12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on CuPt7 by Materials Project

CuPt7 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Pt+0.14- sites. In the first Pt+0.14- site, Pt+0.14- is bonded to twelve Pt+0.14- atoms to form PtPt12 cuboctahedra that share corners with twelve equivalent PtPt12 cuboctahedra, edges with twenty-four PtCu2Pt10 cuboctahedra, faces with six equivalent CuPt12 cuboctahedra, and faces with twelve PtCu2Pt10 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. In the second Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the third Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the fourth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the fifth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the sixth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the seventh Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the eighth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the ninth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the tenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the eleventh Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twelfth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the thirteenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the fourteenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the fifteenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the sixteenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the seventeenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the eighteenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the nineteenth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twentieth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twenty-first Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twenty-second Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. All Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twenty-third Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twenty-fourth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Pt bond lengths are 2.79 Å. Both Pt–Cu bond lengths are 2.79 Å. In the twenty-fifth Pt+0.14- site, Pt+0.14- is bonded to ten Pt+0.14- and two equivalent Cu1+ atoms to form PtCu2Pt10 cuboctahedra that share corners with twelve PtCu2Pt10 cuboctahedra, edges with four equivalent CuPt12 cuboctahedra, edges with twenty PtPt12 cuboctahedra, faces with two equivalent CuPt12 cuboctahedra, and faces with sixteen PtPt12 cuboctahedra. Both Pt–Cu bond lengths are 2.79 Å. Cu1+ is bonded to twelve Pt+0.14- atoms to form CuPt12 cuboctahedra that share corners with twelve equivalent CuPt12 cuboctahedra, edges with twenty-four PtCu2Pt10 cuboctahedra, and faces with eighteen PtPt12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zn7Mo by Materials Project

MoZn7 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Mo is bonded to twelve Zn atoms to form MoZn12 cuboctahedra that share corners with twelve equivalent MoZn12 cuboctahedra, edges with twenty-four ZnZn10Mo2 cuboctahedra, and faces with eighteen ZnZn10Mo2 cuboctahedra. All Mo–Zn bond lengths are 2.76 Å. There are twenty-five inequivalent Zn sites. In the first Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the second Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the third Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn12 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the fourth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the fifth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the sixth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the seventh Zn site, Zn is bonded to twelve Zn atoms to form ZnZn12 cuboctahedra that share corners with twelve equivalent ZnZn12 cuboctahedra, edges with twenty-four ZnZn10Mo2 cuboctahedra, faces with six equivalent MoZn12 cuboctahedra, and faces with twelve ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the eighth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the ninth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the tenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the eleventh Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the twelfth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the thirteenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the fourteenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the fifteenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the sixteenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the seventeenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. Both Zn–Zn bond lengths are 2.76 Å. In the eighteenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the nineteenth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn12 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the twentieth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the twenty-first Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Zn bond lengths are 2.76 Å. In the twenty-second Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. All Zn–Zn bond lengths are 2.76 Å. In the twenty-third Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. All Zn–Zn bond lengths are 2.76 Å. In the twenty-fourth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn10Mo2 cuboctahedra. In the twenty-fifth Zn site, Zn is bonded to two equivalent Mo and ten Zn atoms to form distorted ZnZn10Mo2 cuboctahedra that share corners with twelve ZnZn10Mo2 cuboctahedra, edges with four equivalent MoZn12 cuboctahedra, edges with twenty ZnZn10Mo2 cuboctahedra, faces with two equivalent MoZn12 cuboctahedra, and faces with sixteen ZnZn12 cuboctahedra. Both Zn–Mo bond lengths are 2.76 Å. Both Zn–Zn bond lengths are 2.76 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg7Nb by Materials Project

Mg7Nb crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with twelve equivalent MgMg12 cuboctahedra, edges with twenty-four MgMg10Nb2 cuboctahedra, faces with six equivalent NbMg12 cuboctahedra, and faces with twelve MgMg10Nb2 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the tenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the eleventh Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twelfth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the thirteenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the fourteenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the fifteenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the sixteenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the seventeenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the eighteenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the nineteenth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twentieth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twenty-first Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twenty-second Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twenty-third Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twenty-fourth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. In the twenty-fifth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with twelve MgMg10Nb2 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.11 Å. Both Mg–Nb bond lengths are 3.11 Å. Nb is bonded to twelve Mg atoms to form NbMg12 cuboctahedra that share corners with twelve equivalent NbMg12 cuboctahedra, edges with twenty-four MgMg10Nb2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg7V by Materials Project

Mg7V crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with twelve equivalent MgMg12 cuboctahedra, edges with twenty-four MgMg10V2 cuboctahedra, faces with six equivalent VMg12 cuboctahedra, and faces with twelve MgMg10V2 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the tenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the eleventh Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twelfth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the thirteenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the fourteenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the fifteenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the sixteenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the seventeenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the eighteenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the nineteenth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twentieth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twenty-first Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twenty-second Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twenty-third Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twenty-fourth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. In the twenty-fifth Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with twelve MgMg10V2 cuboctahedra, edges with four equivalent VMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent VMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.08 Å. Both Mg–V bond lengths are 3.08 Å. V is bonded to twelve Mg atoms to form VMg12 cuboctahedra that share corners with twelve equivalent VMg12 cuboctahedra, edges with twenty-four MgMg10V2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zn7Tc by Materials Project

TcZn7 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Tc is bonded to twelve Zn atoms to form TcZn12 cuboctahedra that share corners with twelve equivalent TcZn12 cuboctahedra, edges with twenty-four ZnZn10Tc2 cuboctahedra, and faces with eighteen ZnZn10Tc2 cuboctahedra. All Tc–Zn bond lengths are 2.74 Å. There are twenty-five inequivalent Zn sites. In the first Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the second Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the third Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the fourth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn12 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the fifth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the sixth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the seventh Zn site, Zn is bonded to twelve Zn atoms to form ZnZn12 cuboctahedra that share corners with twelve equivalent ZnZn12 cuboctahedra, edges with twenty-four ZnZn10Tc2 cuboctahedra, faces with six equivalent TcZn12 cuboctahedra, and faces with twelve ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the eighth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the ninth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the tenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn12 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the eleventh Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the twelfth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. Both Zn–Zn bond lengths are 2.74 Å. In the thirteenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. Both Zn–Zn bond lengths are 2.74 Å. In the fourteenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the fifteenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the sixteenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the seventeenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. All Zn–Zn bond lengths are 2.74 Å. In the eighteenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the nineteenth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the twentieth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the twenty-first Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the twenty-second Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn12 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the twenty-third Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Tc bond lengths are 2.74 Å. All Zn–Zn bond lengths are 2.74 Å. In the twenty-fourth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Zn bond lengths are 2.74 Å. In the twenty-fifth Zn site, Zn is bonded to two equivalent Tc and ten Zn atoms to form ZnZn10Tc2 cuboctahedra that share corners with twelve ZnZn10Tc2 cuboctahedra, edges with four equivalent TcZn12 cuboctahedra, edges with twenty ZnZn10Tc2 cuboctahedra, faces with two equivalent TcZn12 cuboctahedra, and faces with sixteen ZnZn10Tc2 cuboctahedra. Both Zn–Zn bond lengths are 2.74 Å.

36 MATERIALS SCIENCE↗

Materials Data on YMg7 by Materials Project

Mg7Y is alpha La-derived structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with twelve equivalent MgMg12 cuboctahedra, edges with twenty-four MgY2Mg10 cuboctahedra, faces with six equivalent YMg12 cuboctahedra, and faces with twelve MgY2Mg10 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the tenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the eleventh Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twelfth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the thirteenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the fourteenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the fifteenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the sixteenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the seventeenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the eighteenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the nineteenth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twentieth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twenty-first Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twenty-second Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twenty-third Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twenty-fourth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. In the twenty-fifth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with twelve MgY2Mg10 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.28 Å. Both Mg–Y bond lengths are 3.28 Å. Y is bonded to twelve Mg atoms to form YMg12 cuboctahedra that share corners with twelve equivalent YMg12 cuboctahedra, edges with twenty-four MgY2Mg10 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg7Sc by Materials Project

Mg7Sc is alpha La-derived structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with twelve equivalent MgMg12 cuboctahedra, edges with twenty-four MgMg10Sc2 cuboctahedra, faces with six equivalent ScMg12 cuboctahedra, and faces with twelve MgMg10Sc2 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the tenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the eleventh Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twelfth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the thirteenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the fourteenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the fifteenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the sixteenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the seventeenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the eighteenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the nineteenth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twentieth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twenty-first Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twenty-second Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twenty-third Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twenty-fourth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. In the twenty-fifth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with twelve MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with twenty MgMg12 cuboctahedra, faces with two equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Both Mg–Sc bond lengths are 3.20 Å. Sc is bonded to twelve Mg atoms to form ScMg12 cuboctahedra that share corners with twelve equivalent ScMg12 cuboctahedra, edges with twenty-four MgMg10Sc2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn5(Fe2O9)2 by Materials Project

Li4Mn5(Fe2O9)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 10–78°. There are a spread of Li–O bond distances ranging from 2.19–2.31 Å. In the second Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.23–2.50 Å. In the third Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.23–2.54 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–77°. There are a spread of Li–O bond distances ranging from 2.20–2.29 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–79°. There are a spread of Li–O bond distances ranging from 2.20–2.29 Å. In the sixth Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.47 Å. In the seventh Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.25–2.51 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–79°. There are a spread of Li–O bond distances ranging from 2.20–2.30 Å. There are ten inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent MnO6 octahedra, edges with four FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There is one shorter (1.92 Å) and five longer (1.95 Å) Mn–O bond length. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.88–2.02 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent MnO6 octahedra, edges with four FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.89–2.01 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Mn–O bond distances ranging from 1.87–2.02 Å. There are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–67°. There are four shorter (2.00 Å) and one longer (2.08 Å) Fe–O bond lengths. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.97–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Fe–O bond distances ranging from 1.98–2.01 Å. In the fifth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–64°. There is three shorter (1.99 Å) and two longer (2.00 Å) Fe–O bond length. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.96–2.13 Å. In the eighth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–67°. There are a spread of Fe–O bond distances ranging from 1.98–2.00 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Mn4+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Mn4+ and two equivalent Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Mn4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Mn4+ atoms to form distorted OLi2Mn3 trigonal bipyramids that share corners with six OLiMnFe2 trigonal pyramids and edges with two equivalent OLi2Mn3 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Fe3+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, two equivalent Mn4+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with four OLi2Mn3 trigonal bipyramids and corners with two equivalent OLiMn2Fe trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+, two equivalent Mn4+, and one Fe3+ atom to form a mixture of corner and edge-sharing OLi2Mn2Fe square pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Mn4+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 trigonal pyramids that share corners with two equivalent OLi2Mn3 trigonal bipyramids, corners with two equivalent OLiMnFe2 trigonal pyramids, and edges with two equivalent OLi2Mn2Fe square pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Mn4+, and one Fe3+ atom to form OLi2Mn2Fe square pyramids that share corners with two equivalent OLi2Mn2Fe square pyramids, edges with three OLi2Mn2Fe square pyramids, and edges with two equivalent OLiMnFe2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn4+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with four OLi2Mn3 trigonal bipyramids and corners with two equivalent OLiMn2Fe trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three Mn4+ atoms to form distorted OLi2Mn3 trigonal bipyramids that share corners with four OLiMn2Fe trigonal pyramids and edges with two equivalent OLi2Mn3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigona

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn5(Fe2O9)2 by Materials Project

Li4Mn5(Fe2O9)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–76°. There are a spread of Li–O bond distances ranging from 2.16–2.25 Å. In the second Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.47 Å. In the third Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.25–2.57 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–74°. There are a spread of Li–O bond distances ranging from 2.16–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 10–74°. There are a spread of Li–O bond distances ranging from 2.17–2.22 Å. In the sixth Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.25–2.60 Å. In the seventh Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.23–2.53 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–74°. There are three shorter (2.17 Å) and two longer (2.24 Å) Li–O bond lengths. There are ten inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent MnO6 octahedra, edges with four FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.88–2.01 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There is five shorter (1.93 Å) and one longer (1.96 Å) Mn–O bond length. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Mn–O bond distances ranging from 1.88–2.01 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent MnO6 octahedra, edges with four FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Mn–O bond distances ranging from 1.88–2.02 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO5 square pyramids and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Mn–O bond distances ranging from 1.88–2.01 Å. There are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–67°. There is one shorter (1.99 Å) and four longer (2.00 Å) Fe–O bond length. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the fourth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–68°. There is one shorter (1.99 Å) and four longer (2.00 Å) Fe–O bond length. In the fifth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Fe–O bond distances ranging from 1.95–2.04 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the eighth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–67°. There is one shorter (1.98 Å) and four longer (2.00 Å) Fe–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Mn4+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Mn4+ and two equivalent Fe3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Mn4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Mn4+ atoms to form distorted OLi2Mn3 trigonal bipyramids that share corners with two equivalent OLiMn2Fe tetrahedra, corners with two equivalent OLiMn2Fe trigonal pyramids, and edges with two equivalent OLi2Mn3 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Fe3+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, two equivalent Mn4+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with four OLi2Mn3 trigonal bipyramids and corners with two equivalent OLiMn2Fe trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+, two equivalent Mn4+, and one Fe3+ atom to form a mixture of edge and corner-sharing OLi2Mn2Fe square pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Mn4+, and two equivalent Fe3+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Mn4+, and one Fe3+ atom to form a mixture of edge and corner-sharing OLi2Mn2Fe square pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn4+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with four OLi2Mn3 trigonal bipyramids and corners with two equivalent OLiMn2Fe trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three Mn4+ atoms to form distorted OLi2Mn3 trigonal bipyramids that share corners with four OLiMn2Fe trigonal pyramids and edges with two equivalent OLi2Mn3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn4+ and two equivalent Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn4+ and two equivalent Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geo

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3(CoO3)6 by Materials Project

Li4Ti3(CoO3)6 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.33 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.80 Å. In the third Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.58 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.31 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are two shorter (2.12 Å) and three longer (2.30 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.68 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.47 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. There are six 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 CoO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four CoO5 square pyramids and edges with four TiO6 octahedra. There is five shorter (1.95 Å) and one longer (2.01 Å) Ti–O bond length. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four CoO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.02 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. There are twelve inequivalent Co+3.33+ sites. In the first Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form edge-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.93 Å. In the second Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 1.90–2.06 Å. In the third Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the fourth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the fifth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the sixth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.85–1.91 Å. In the seventh Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Co–O bond distances ranging from 1.91–2.04 Å. In the eighth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form edge-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.94 Å. In the ninth Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Co–O bond distances ranging from 1.91–1.99 Å. In the tenth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Co–O bond distances ranging from 1.85–1.91 Å. In the eleventh Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the twelfth Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+3.33+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form OLi2Ti3 trigonal bipyramids that share corners with four OLiTiCo2 trigonal pyramids, edges with two equivalent OLi2Ti3 trigonal bipyramids, and edges with two equivalent OLi2Ti2Co trigonal pyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with four OLi2Ti3 trigonal bipyramids and corners with two equivalent OLiCo3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.33+ atoms to form OLi2Co3 square pyramids that share corners with two equivalent OLi2Co3 square pyramids, edges with three OLi2Co3 square pyramids, and edges with two equivalent OLiTiCo2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two equivalent Co+3.33+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiCo2 trigonal pyramids, and edges with two equivalent OLi2Co3 square pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiCo2 trigonal pyramids, and edges with two equivalent OLi2Co3 square pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two equivalent Co+3.33+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.33+ atoms to form OLi2Co3 square pyramids that share corners with two equivalent OLi2Co3 square pyramids, edges with three OLi2Co3 square pyramids, and edges with two equivalent OLiTiCo2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with four OLi2Ti2Co trigonal bipyramids and corners with three OLiCo3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with six OLiTiCo2 trigonal pyramids and edges with two equivalent OLi2Ti3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Co+3.33+ atom to form distorted OLi2Ti2Co trigonal bipyramids that share corners with six OLiCo3 trigonal pyramids and edges with two equivalent OLi2Ti2Co trigonal bipyramids. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Co+3.33+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with four OLi2Ti3 trigonal bipyramids and corners with two equivalent OLiTi2Co trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.33+ atoms to form OLi2Co3 square pyramids that share corners with two equivalent OLi2Co3 square pyramids, edges with three OLi2Co3 square pyramids, and edges with two equivalent OLiTiCo2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Ti4+, and two equivalent Co+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+3.33+ a

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2Co7O18 by Materials Project

Li4Ti2Co7O18 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.62 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.60 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.18–2.26 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.61 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CoO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CoO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–79°. There are a spread of Li–O bond distances ranging from 2.01–2.39 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.76 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.15–2.36 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.56 Å. There are four 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 CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.86–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.87–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. There are fourteen inequivalent Co+3.43+ sites. In the first Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO5 trigonal bipyramids, edges with six CoO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.89–2.05 Å. In the second Co+3.43+ site, Co+3.43+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with six CoO6 octahedra and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Co–O bond distances ranging from 1.91–2.01 Å. In the third Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.86–1.91 Å. In the fourth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.92 Å. In the fifth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There is one shorter (1.89 Å) and five longer (1.90 Å) Co–O bond length. In the sixth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.90–2.04 Å. In the seventh Co+3.43+ site, Co+3.43+ is bonded to five O2- atoms to form distorted CoO5 square pyramids that share corners with six CoO6 octahedra and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–71°. There are a spread of Co–O bond distances ranging from 1.92–2.06 Å. In the eighth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form edge-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.77–2.03 Å. In the ninth Co+3.43+ site, Co+3.43+ is bonded to five O2- atoms to form distorted CoO5 square pyramids that share corners with six CoO6 octahedra and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Co–O bond distances ranging from 1.90–2.00 Å. In the tenth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.89–2.02 Å. In the eleventh Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the twelfth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.91 Å. In the thirteenth Co+3.43+ site, Co+3.43+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, edges with four CoO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.96–2.09 Å. In the fourteenth Co+3.43+ site, Co+3.43+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with six CoO6 octahedra and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Co–O bond distances ranging from 1.93–2.05 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Co+3.43+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.43+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Co+3.43+ atom to form distorted OLi2Ti2Co trigonal bipyramids that share corners with two equivalent OLi2Co3 trigonal pyramids and edges with two equivalent OLi2Ti2Co trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.43+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Co+3.43+ atoms. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.43+ atoms to form a mixture of distorted edge and corner-sharing OLi2Co3 trigonal bipyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Co+3.43+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ti4+ and two equivalent Co+3.43+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, and two equivalent Co+3.43+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, and two equivalent Co+3.43+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent Co+3.43+ atoms. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.43+ atoms to form distorted OLi2Co3 trigonal bipyramids that share corners with three OLi2Ti2Co trigonal bipyramids, corners with two equivalent OLiCo3 trigonal pyramids, and edges with three OLi2Ti2Co trigonal bipyramids. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.43+ atoms to form a mixture of distorted edge and corner-sharing OLi2Co3 trigonal bipyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and three Co+3.43+ atoms to form distorted OLi2Co3 trigonal pyramids that share corners with two equivalent OLi2Ti2Co trigonal bipyramids, corners with two equivalent OLi2Co3 trigonal pyramids, and edges with two equivalent OLi2Ti2Co trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co+3.43+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Co+3.43+ atom to form distorted OLi2Ti2Co trigonal bipyramids that share corners with two equivalent OLi2Co3 trigonal bipyramids, corners with two equivalent OLiCo3 trigonal pyramids, and edges with three OLi2Co3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.43+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.43+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Co+3.43+ atom to form distorted OLi2Ti2Co trigonal bipyramids that share edges with two equivalent OLi2Ti2Co trigonal bipyramids and edges with two equivalent OLi2Co3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co+3.43+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Co+3.43+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with six OLi2Co3 trigonal bipyramids and corners with two equivalent OLiCo3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.43+ atoms to form a mixture of distorted edge and corner-sharing OLi2Co3 trigonal bipyramids. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Co+3.43+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two equivalent Co+3.43+ at

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti4Mn4CrO18 by Materials Project

Li4Ti4CrMn4O18 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CrO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–83°. There are a spread of Li–O bond distances ranging from 2.09–2.45 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.36 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CrO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–82°. There are a spread of Li–O bond distances ranging from 2.09–2.45 Å. There are four 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 LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent MnO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.02 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent MnO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.02 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are two shorter (2.00 Å) and four longer (2.03 Å) Cr–O bond lengths. There are four inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Mn–O bond distances ranging from 1.98–2.15 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent MnO5 square pyramids, edges with two equivalent CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent MnO5 square pyramids, edges with two equivalent CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Mn–O bond distances ranging from 1.98–2.15 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Cr3+ and two equivalent Mn+3.25+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Cr3+ and two equivalent Mn+3.25+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with four equivalent OLiTi2Mn tetrahedra, corners with two equivalent OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2Ti3 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Mn+3.25+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn+3.25+ atom to form distorted OLiTi2Mn tetrahedra that share corners with two equivalent OLiTi2Mn tetrahedra and corners with four equivalent OLi2Ti3 trigonal bipyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+, two equivalent Cr3+, and one Mn+3.25+ atom to form OLi2MnCr2 square pyramids that share corners with two equivalent OLi2MnCr2 square pyramids, edges with three OLi2MnCr2 square pyramids, and edges with two equivalent OLiTiMn2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ti4+ and two equivalent Mn+3.25+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn+3.25+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2MnCr2 square pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn+3.25+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2MnCr2 square pyramids. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ti4+ and two equivalent Mn+3.25+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Cr3+, and one Mn+3.25+ atom to form OLi2MnCr2 square pyramids that share corners with two equivalent OLi2MnCr2 square pyramids, edges with three OLi2MnCr2 square pyramids, and edges with two equivalent OLiTiMn2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn+3.25+ atom to form distorted OLiTi2Mn tetrahedra that share corners with two equivalent OLiTi2Mn tetrahedra and corners with four equivalent OLi2Ti3 trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Mn+3.25+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with four equivalent OLiTi2Mn tetrahedra, corners with two equivalent OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2Ti3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2V7O18 by Materials Project

Li4Ti2V7O18 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent VO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–77°. There are a spread of Li–O bond distances ranging from 2.11–2.38 Å. In the second Li1+ site, Li1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.81 Å. In the third Li1+ site, Li1+ is bonded in a 2-coordinate geometry to nine O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.86 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent VO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–77°. There are a spread of Li–O bond distances ranging from 2.10–2.40 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent VO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–77°. There are a spread of Li–O bond distances ranging from 2.10–2.35 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.81 Å. In the seventh Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.54 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent VO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–76°. There are a spread of Li–O bond distances ranging from 2.10–2.36 Å. There are four 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 VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.91–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. There are fourteen inequivalent V+3.43+ sites. In the first V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with six VO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the second V+3.43+ site, V+3.43+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of V–O bond distances ranging from 1.97–2.03 Å. In the third V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of V–O bond distances ranging from 1.99–2.05 Å. In the fourth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.00 Å. In the fifth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.00 Å. In the sixth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of V–O bond distances ranging from 1.98–2.06 Å. In the seventh V+3.43+ site, V+3.43+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of V–O bond distances ranging from 1.98–2.02 Å. In the eighth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with six VO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the ninth V+3.43+ site, V+3.43+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–64°. There is one shorter (1.97 Å) and four longer (2.01 Å) V–O bond length. In the tenth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of V–O bond distances ranging from 1.99–2.06 Å. In the eleventh V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the twelfth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.91–2.00 Å. In the thirteenth V+3.43+ site, V+3.43+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of V–O bond distances ranging from 2.00–2.06 Å. In the fourteenth V+3.43+ site, V+3.43+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of V–O bond distances ranging from 1.98–2.02 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.43+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.43+ atoms. In the third O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+3.43+ atom to form distorted edge-sharing OLi2Ti2V trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.43+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three V+3.43+ atoms. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V+3.43+ atoms to form a mixture of edge and corner-sharing OLi2V3 square pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three V+3.43+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.43+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and two equivalent V+3.43+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and two equivalent V+3.43+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.43+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three V+3.43+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.43+ atoms to form a mixture of edge and corner-sharing OLi2V3 square pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three V+3.43+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.43+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+3.43+ atom to form distorted edge-sharing OLi2Ti2V trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.43+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.43+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+3.43+ atom to form distorted edge-sharing OLi2Ti2V trigonal bipyramids. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.43+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and three V+3.43+ atoms. In the twenty-fifth O2- si

36 MATERIALS SCIENCE↗

Materials Data on Ta2Al3V4C3 by Materials Project

Ta2V4Al3C3 is H-Phase-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are four inequivalent Ta sites. In the first Ta site, Ta is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ta–Al bond lengths are 2.84 Å. All Ta–C bond lengths are 2.16 Å. In the second Ta site, Ta is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ta–Al bond lengths are 2.89 Å. All Ta–C bond lengths are 2.18 Å. In the third Ta site, Ta is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ta–Al bond lengths are 2.88 Å. All Ta–C bond lengths are 2.17 Å. In the fourth Ta site, Ta is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ta–Al bond lengths are 2.84 Å. All Ta–C bond lengths are 2.16 Å. There are eight inequivalent V sites. In the first V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.78 Å. All V–C bond lengths are 2.04 Å. In the second V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.78 Å. All V–C bond lengths are 2.04 Å. In the third V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.72 Å. All V–C bond lengths are 2.04 Å. In the fourth V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.77 Å. All V–C bond lengths are 2.05 Å. In the fifth V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.78 Å. All V–C bond lengths are 2.04 Å. In the sixth V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.72 Å. All V–C bond lengths are 2.04 Å. In the seventh V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.75 Å. All V–C bond lengths are 2.04 Å. In the eighth V site, V is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All V–Al bond lengths are 2.74 Å. All V–C bond lengths are 2.04 Å. There are six inequivalent Al sites. In the first Al site, Al is bonded to three equivalent Ta, three equivalent V, and six equivalent Al atoms to form distorted AlTa3Al6V3 cuboctahedra that share corners with six equivalent AlTa3Al6V3 cuboctahedra, corners with six CTa6 octahedra, edges with six equivalent AlTa3Al6V3 cuboctahedra, edges with six CTa6 octahedra, and faces with six equivalent AlTa3Al6V3 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–19°. All Al–Al bond lengths are 2.99 Å. In the second Al site, Al is bonded to six V and six equivalent Al atoms to form AlAl6V6 cuboctahedra that share corners with six equivalent AlAl6V6 cuboctahedra, corners with six CTa3V3 octahedra, edges with six equivalent AlAl6V6 cuboctahedra, edges with six CTa3V3 octahedra, and faces with six equivalent AlAl6V6 cuboctahedra. The corner-sharing octahedra tilt angles range from 19–20°. All Al–Al bond lengths are 2.99 Å. In the third Al site, Al is bonded to six V and six equivalent Al atoms to form AlAl6V6 cuboctahedra that share corners with six equivalent AlAl6V6 cuboctahedra, corners with six CTa3V3 octahedra, edges with six equivalent AlAl6V6 cuboctahedra, edges with six CTa3V3 octahedra, and faces with six equivalent AlAl6V6 cuboctahedra. The corner-sharing octahedra tilt angles range from 19–20°. All Al–Al bond lengths are 2.99 Å. In the fourth Al site, Al is bonded to three equivalent Ta, three equivalent V, and six equivalent Al atoms to form distorted AlTa3Al6V3 cuboctahedra that share corners with six equivalent AlTa3Al6V3 cuboctahedra, corners with six CTa6 octahedra, edges with six equivalent AlTa3Al6V3 cuboctahedra, edges with six CTa6 octahedra, and faces with six equivalent AlTa3Al6V3 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–18°. All Al–Al bond lengths are 2.99 Å. In the fifth Al site, Al is bonded to three equivalent Ta, three equivalent V, and six equivalent Al atoms to form AlTa3Al6V3 cuboctahedra that share corners with six equivalent AlTa3Al6V3 cuboctahedra, corners with six CTa3V3 octahedra, edges with six equivalent AlTa3Al6V3 cuboctahedra, edges with six CTa3V3 octahedra, and faces with six equivalent AlTa3Al6V3 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–19°. All Al–Al bond lengths are 2.99 Å. In the sixth Al site, Al is bonded to three equivalent Ta, three equivalent V, and six equivalent Al atoms to form distorted AlTa3Al6V3 cuboctahedra that share corners with six equivalent AlTa3Al6V3 cuboctahedra, corners with six CTa3V3 octahedra, edges with six equivalent AlTa3Al6V3 cuboctahedra, edges with six CTa3V3 octahedra, and faces with six equivalent AlTa3Al6V3 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–19°. All Al–Al bond lengths are 2.99 Å. There are six inequivalent C sites. In the first C site, C is bonded to six Ta atoms to form CTa6 octahedra that share corners with six AlTa3Al6V3 cuboctahedra, edges with six AlTa3Al6V3 cuboctahedra, and edges with six equivalent CTa6 octahedra. In the second C site, C is bonded to three equivalent Ta and three equivalent V atoms to form CTa3V3 octahedra that share corners with six AlTa3Al6V3 cuboctahedra, edges with six AlTa3Al6V3 cuboctahedra, and edges with six equivalent CTa3V3 octahedra. In the third C site, C is bonded to three equivalent Ta and three equivalent V atoms to form CTa3V3 octahedra that share corners with six AlTa3Al6V3 cuboctahedra, edges with six AlTa3Al6V3 cuboctahedra, and edges with six equivalent CTa3V3 octahedra. In the fourth C site, C is bonded to six V atoms to form CV6 octahedra that share corners with six AlTa3Al6V3 cuboctahedra, edges with six AlTa3Al6V3 cuboctahedra, and edges with six equivalent CV6 octahedra. In the fifth C site, C is bonded to six V atoms to form CV6 octahedra that share corners with six AlAl6V6 cuboctahedra, edges with six AlAl6V6 cuboctahedra, and edges with six equivalent CV6 octahedra. In the sixth C site, C is bonded to six V atoms to form CV6 octahedra that share corners with six AlTa3Al6V3 cuboctahedra, edges with six AlTa3Al6V3 cuboctahedra, and edges with six equivalent CV6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Mn4Cr2O18 by Materials Project

Li4Ti3Cr2Mn4O18 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.40 Å. In the second Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.55 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.84 Å. There are three 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 and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 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, edges with two equivalent TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.85–2.09 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four MnO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.01 Å. There are two inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share edges with two equivalent CrO6 octahedra and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four MnO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.05 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with two equivalent CrO6 octahedra, corners with two equivalent MnO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Mn–O bond distances ranging from 1.95–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent MnO5 square pyramids, edges with two equivalent CrO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with two equivalent CrO6 octahedra, corners with two equivalent MnO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Mn–O bond distances ranging from 1.96–2.03 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent MnO5 square pyramids, edges with two equivalent CrO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Cr6+ and two equivalent Mn2+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two equivalent Mn2+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with two equivalent OLiTi2Mn tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2Ti3 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Mn2+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, two equivalent Cr6+, and one Mn2+ atom to form distorted OLiMnCr2 trigonal pyramids that share corners with four OLi2Ti2Cr trigonal bipyramids and corners with two equivalent OLiMnCr2 trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+, two equivalent Cr6+, and one Mn2+ atom to form OLi2MnCr2 square pyramids that share corners with two equivalent OLi2MnCr2 square pyramids, edges with three OLi2MnCr2 square pyramids, and edges with two equivalent OLiTiMn2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Cr6+, and two equivalent Mn2+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two equivalent Cr6+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn2+ atoms to form OLiTiMn2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2MnCr2 square pyramids. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the twelfth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Cr6+ atom to form OLi2Ti2Cr trigonal bipyramids that share corners with two equivalent OLiTi2Mn tetrahedra, corners with two equivalent OLiMnCr2 trigonal pyramids, edges with two equivalent OLi2Ti2Cr trigonal bipyramids, and edges with two equivalent OLi2TiMn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Mn2+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn2+ atom to form distorted OLiTi2Mn tetrahedra that share corners with two equivalent OLiTi2Mn tetrahedra, corners with four OLi2Ti2Cr trigonal bipyramids, and a cornercorner with one OLi2TiMn2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Cr6+, and one Mn2+ atom to form OLi2MnCr2 square pyramids that share corners with two equivalent OLi2MnCr2 square pyramids, edges with three OLi2MnCr2 square pyramids, and edges with two equivalent OLi2TiMn2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+, one Ti4+, and two equivalent Mn2+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded to two Li1+, one Ti4+, and two equivalent Mn2+ atoms to form distorted OLi2TiMn2 trigonal pyramids that share a cornercorner with one OLiTi2Mn tetrahedra, corners with two equivalent OLi2TiMn2 trigonal pyramids, edges with two equivalent OLi2MnCr2 square pyramids, and edges with two equivalent OLi2Ti2Cr trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4TiV8O18 by Materials Project

Li4TiV8O18 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.13–2.21 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.60 Å. In the third Li1+ site, Li1+ is bonded in a 2-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.18–2.61 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.11–2.33 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.58 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.42 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, corners with four VO6 octahedra, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–73°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. 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 VO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. There are sixteen inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO5 trigonal bipyramids, edges with six VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.90–2.01 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of V–O bond distances ranging from 1.85–2.09 Å. In the third V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of V–O bond distances ranging from 1.97–2.04 Å. In the fourth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the fifth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.05 Å. In the sixth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–1.99 Å. In the seventh V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the eighth V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of V–O bond distances ranging from 1.99–2.04 Å. In the ninth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.89–2.12 Å. In the tenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with six VO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the eleventh V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of V–O bond distances ranging from 1.95–2.06 Å. In the twelfth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the thirteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the fourteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.05 Å. In the fifteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of V–O bond distances ranging from 2.01–2.05 Å. In the sixteenth V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of V–O bond distances ranging from 1.97–2.03 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.50+ atoms. In the third O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form OLi2V3 square pyramids that share corners with four OLiV3 trigonal pyramids and edges with two equivalent OLi2V3 square pyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with four OLi2V3 trigonal bipyramids and corners with two equivalent OLiV3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form a mixture of edge and corner-sharing OLi2V3 square pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLiV3 trigonal pyramids, and edges with two equivalent OLi2V3 square pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, edges with three OLi2V3 square pyramids, and edges with two equivalent OLiV3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLi2Ti2V trigonal bipyramids, and corners with two equivalent OLiV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.50+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form distorted OLi2V3 trigonal bipyramids that share corners with two equivalent OLiV3 trigonal pyramids and edges with two equivalent OLi2V3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.50+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent V+3.50+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+3.50+ atom to form distorted OLi2Ti2V trigonal bipyramids that share corners with two equivalent OLi2V3 trigonal bipyramids, corners with two equivalent OLiV3 trigonal pyramids, and edges with three OLi2Ti2V tr

36 MATERIALS SCIENCE↗

Materials Data on K4Na4Nb3W5O24 by Materials Project

K4Na4Nb3W5O24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, faces with three NbO6 octahedra, and faces with five WO6 octahedra. There are a spread of K–O bond distances ranging from 2.83–2.86 Å. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with three NbO6 octahedra, and faces with five WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.82–2.85 Å. There are three inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 2.00–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 1.98–2.05 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 1.98–2.05 Å. There are five inequivalent W5+ sites. In the first W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 2.00–2.10 Å. In the second W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.98–2.01 Å. In the third W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.92–1.99 Å. In the fourth W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.95–2.04 Å. In the fifth W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.97–2.01 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with four OK4NbW octahedra, edges with two equivalent OK2Na2W2 octahedra, and faces with eight OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the second O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with twelve OK4NbW octahedra, edges with two equivalent OK2Na2W2 octahedra, and faces with four OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, one Nb5+, and one W5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, and two Nb5+ atoms. In the fifth O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with ten OK4W2 octahedra, edges with two equivalent OK2Na2NbW octahedra, and faces with five OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, one Nb5+, and one W5+ atom. In the seventh O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, one Nb5+, and one W5+ atom to form distorted OK2Na2NbW octahedra that share corners with twelve OK4W2 octahedra, edges with two equivalent OK2Na2W2 octahedra, and faces with four OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, one Nb5+, and one W5+ atom. In the ninth O2- site, O2- is bonded to four equivalent K1+ and two W5+ atoms to form distorted OK4W2 octahedra that share corners with six ONa4W2 octahedra, edges with four OK4NbW octahedra, and faces with six OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the tenth O2- site, O2- is bonded to four equivalent Na1+ and two W5+ atoms to form distorted ONa4W2 octahedra that share corners with six OK4W2 octahedra, edges with two equivalent ONa4W2 octahedra, and faces with six OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the eleventh O2- site, O2- is bonded to four equivalent K1+, one Nb5+, and one W5+ atom to form distorted OK4NbW octahedra that share corners with sixteen OK4W2 octahedra, edges with two equivalent OK4W2 octahedra, and faces with two equivalent OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+, one Nb5+, and one W5+ atom. In the thirteenth O2- site, O2- is bonded to four equivalent K1+ and two W5+ atoms to form distorted OK4W2 octahedra that share corners with ten OK4NbW octahedra, edges with two equivalent OK4W2 octahedra, and faces with six OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the fourteenth O2- site, O2- is bonded to four equivalent Na1+ and two W5+ atoms to form distorted ONa4W2 octahedra that share corners with six OK4W2 octahedra, edges with two equivalent ONa4W2 octahedra, and faces with six OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent K1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two Nb5+ atoms.

36 MATERIALS SCIENCE↗