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Materials Data on Ho6Se11 by Materials Project

Ho6Se11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.96–3.13 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.95–3.00 Å. In the third Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.93–3.01 Å. In the fourth Ho3+ site, Ho3+ is bonded in a distorted pentagonal bipyramidal geometry to seven Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.87–2.98 Å. In the fifth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.92–2.99 Å. In the sixth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.94–3.12 Å. In the seventh Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.92–3.13 Å. In the eighth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.93–3.26 Å. In the ninth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.92–3.06 Å. In the tenth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.95–2.97 Å. In the eleventh Ho3+ site, Ho3+ is bonded in a pentagonal bipyramidal geometry to seven Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.86–2.91 Å. In the twelfth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.93–3.07 Å. In the thirteenth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.94–3.25 Å. In the fourteenth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.94–3.20 Å. In the fifteenth Ho3+ site, Ho3+ is bonded in a pentagonal bipyramidal geometry to seven Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.85–2.93 Å. In the sixteenth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.92–3.01 Å. In the seventeenth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.94–3.17 Å. In the eighteenth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.91–2.99 Å. In the nineteenth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.91–3.02 Å. In the twentieth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.91–3.03 Å. In the twenty-first Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.95–3.12 Å. In the twenty-second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.95–3.02 Å. In the twenty-third Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.92–3.04 Å. In the twenty-fourth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight Se+1.64- atoms. There are a spread of Ho–Se bond distances ranging from 2.91–3.00 Å. There are forty-four inequivalent Se+1.64- sites. In the first Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the second Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the third Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the fourth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the fifth Se+1.64- site, Se+1.64- is bonded in a 5-coordinate geometry to five Ho3+ atoms. In the sixth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the seventh Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the eighth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to three Ho3+ and one Se+1.64- atom. The Se–Se bond length is 2.46 Å. In the ninth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the tenth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the eleventh Se+1.64- site, Se+1.64- is bonded in a 6-coordinate geometry to four Ho3+ atoms. In the twelfth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the thirteenth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ and one Se+1.64- atom. The Se–Se bond length is 2.86 Å. In the fourteenth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the fifteenth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the sixteenth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the seventeenth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the eighteenth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the nineteenth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the twentieth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the twenty-first Se+1.64- site, Se+1.64- is bonded in a 6-coordinate geometry to four Ho3+ and two Se+1.64- atoms. The Se–Se bond length is 2.52 Å. In the twenty-second Se+1.64- site, Se+1.64- is bonded in a 6-coordinate geometry to four Ho3+ atoms. In the twenty-third Se+1.64- site, Se+1.64- is bonded in a 2-coordinate geometry to four Ho3+ and one Se+1.64- atom. In the twenty-fourth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ and one Se+1.64- atom. The Se–Se bond length is 2.86 Å. In the twenty-fifth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the twenty-sixth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the twenty-seventh Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the twenty-eighth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the twenty-ninth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the thirtieth Se+1.64- site, Se+1.64- is bonded in a 5-coordinate geometry to five Ho3+ atoms. In the thirty-first Se+1.64- site, Se+1.64- is bonded in a 6-coordinate geometry to four Ho3+ and two Se+1.64- atoms. The Se–Se bond length is 2.52 Å. In the thirty-second Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the thirty-third Se+1.64- site, Se+1.64- is bonded in a 2-coordinate geometry to four Ho3+ and one Se+1.64- atom. In the thirty-fourth Se+1.64- site, Se+1.64- is bonded in a 6-coordinate geometry to four Ho3+ atoms. In the thirty-fifth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the thirty-sixth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the thirty-seventh Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the thirty-eighth Se+1.64- site, Se+1.64- is bonded in a 5-coordinate geometry to five Ho3+ atoms. In the thirty-ninth Se+1.64- site, Se+1.64- is bonded in a 5-coordinate geometry to five Ho3+ atoms. In the fortieth Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the forty-first Se+1.64- site, Se+1.64- is bonded to five Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo5 trigonal bipyramids. In the forty-second Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the forty-third Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to four Ho3+ atoms. In the forty-fourth Se+1.64- site, Se+1.64- is bonded in a 4-coordinate geometry to three Ho3+ and one Se+1.64- atom.

36 MATERIALS SCIENCE↗

Materials Data on Ta27S50 by Materials Project

Ta27S50 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Ta+3.70+ sites. In the first Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the second Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.45–2.53 Å. In the third Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.50 Å. In the fourth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. In the fifth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ta–S bond distances ranging from 2.47–2.49 Å. In the sixth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the seventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the eighth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the ninth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the tenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 13°. There are two shorter (2.47 Å) and four longer (2.48 Å) Ta–S bond lengths. In the eleventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. In the twelfth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 12°. There are a spread of Ta–S bond distances ranging from 2.46–2.49 Å. In the thirteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the fourteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the fifteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.55 Å. In the sixteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 14–44°. There are a spread of Ta–S bond distances ranging from 2.45–2.52 Å. In the seventeenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the eighteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the nineteenth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.50 Å. In the twentieth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the twenty-first Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the twenty-second Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ta–S bond distances ranging from 2.46–2.49 Å. In the twenty-third Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.38–2.62 Å. In the twenty-fourth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the twenty-fifth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ta–S bond distances ranging from 2.46–2.53 Å. In the twenty-sixth Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of distorted corner and edge-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ta–S bond distances ranging from 2.46–2.54 Å. In the twenty-seventh Ta+3.70+ site, Ta+3.70+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.38–2.60 Å. There are fifty inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fourth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eleventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the sixteenth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-second S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the twenty-third S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the twenty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the twenty-sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the twenty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the thirty-sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the thirty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the thirty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the fortieth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the forty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms. In the forty-third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the forty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-fifth S2- site, S2- is bonded to four Ta+3.70+ atoms to form distorted edge-sharing STa4 trigonal pyramids. In the forty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the forty-eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.70+ atoms. In the forty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.70+ atoms. In the fiftieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ta+3.70+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba(Mo3O5)2 by Materials Project

BaMo6O10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.81–3.37 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.38 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.40 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–3.40 Å. There are twenty-four inequivalent Mo3+ sites. In the first Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.95–2.17 Å. In the second Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.00–2.21 Å. In the third Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.10–2.18 Å. In the fourth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.96–2.18 Å. In the fifth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.96–2.17 Å. In the sixth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.09–2.16 Å. In the seventh Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.08–2.18 Å. In the eighth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.95–2.16 Å. In the ninth Mo3+ site, Mo3+ is bonded to five O2- atoms to form corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.01–2.16 Å. In the tenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.92–2.10 Å. In the eleventh Mo3+ site, Mo3+ is bonded to five O2- atoms to form corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.93–2.12 Å. In the twelfth Mo3+ site, Mo3+ is bonded to five O2- atoms to form corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.92–2.14 Å. In the thirteenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.08–2.18 Å. In the fourteenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.07–2.18 Å. In the fifteenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.09–2.20 Å. In the sixteenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.07–2.20 Å. In the seventeenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.05–2.19 Å. In the eighteenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.09–2.22 Å. In the nineteenth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.10–2.20 Å. In the twentieth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.01–2.16 Å. In the twenty-first Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.10–2.19 Å. In the twenty-second Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.07–2.18 Å. In the twenty-third Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.07–2.16 Å. In the twenty-fourth Mo3+ site, Mo3+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.07–2.18 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted L-shaped geometry to two Ba2+ and two Mo3+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Mo3+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Mo3+ atoms. In the fourth O2- site, O2- is bonded in a distorted L-shaped geometry to two Ba2+ and two Mo3+ atoms. In the fifth O2- site, O2- is bonded in a distorted L-shaped geometry to two Ba2+ and two Mo3+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Mo3+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Mo3+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Mo3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirteenth O2- site, O2- is bonded in a see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the sixteenth O2- site, O2- is bonded in a see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the twentieth O2- site, O2- is bonded in a see-saw-like geometry to one Ba2+ and four Mo3+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and three Mo3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and three Mo3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Ba2+ and three Mo3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Mo3+ atoms. In the fortieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Mo3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y5Pb4 by Materials Project

Y5Pb4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Y sites. In the first Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.49–3.68 Å. In the second Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the third Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the fourth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.82 Å. In the fifth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the sixth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the seventh Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.50–3.69 Å. In the eighth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.44–3.64 Å. In the ninth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the tenth Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.49–3.69 Å. In the eleventh Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the twelfth Y site, Y is bonded to six Pb atoms to form a mixture of corner and face-sharing YPb6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Y–Pb bond distances ranging from 3.50–3.69 Å. In the thirteenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.82 Å. In the fourteenth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.44–3.64 Å. In the fifteenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the sixteenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the seventeenth Y site, Y is bonded to six Pb atoms to form a mixture of distorted edge, corner, and face-sharing YPb6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Y–Pb bond distances ranging from 3.55–3.83 Å. In the eighteenth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the nineteenth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.64 Å. In the twentieth Y site, Y is bonded in a 6-coordinate geometry to six Pb atoms. There are a spread of Y–Pb bond distances ranging from 3.43–3.65 Å. There are sixteen inequivalent Pb sites. In the first Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.31 Å. In the second Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the third Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.32 Å. In the fourth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the fifth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the sixth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. In the seventh Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.31 Å. In the eighth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. In the ninth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the tenth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the eleventh Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. The Pb–Pb bond length is 3.32 Å. In the twelfth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the thirteenth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the fourteenth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom. In the fifteenth Pb site, Pb is bonded to seven Y atoms to form a mixture of distorted edge and corner-sharing PbY7 pentagonal bipyramids. In the sixteenth Pb site, Pb is bonded in a 9-coordinate geometry to eight Y and one Pb atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe2O3 by Materials Project

Fe2O3 is Corundum-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–73°. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Fe–O bond distances ranging from 1.99–2.17 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Fe–O bond distances ranging from 1.98–2.20 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–72°. There are a spread of Fe–O bond distances ranging from 1.97–2.17 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–72°. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–73°. There are a spread of Fe–O bond distances ranging from 1.98–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–73°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–73°. There are a spread of Fe–O bond distances ranging from 1.99–2.20 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the second O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the third O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the sixth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the seventh O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the eighth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the ninth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the tenth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na9Mn15O32 by Materials Project

Na9Mn15O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Na–O bond distances ranging from 2.14–2.20 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.21–2.35 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of Na–O bond distances ranging from 2.14–2.21 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of Na–O bond distances ranging from 2.16–2.28 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–71°. There are a spread of Na–O bond distances ranging from 2.17–2.24 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Na–O bond distances ranging from 2.17–2.22 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Na–O bond distances ranging from 2.16–2.22 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–75°. There are a spread of Na–O bond distances ranging from 2.18–2.20 Å. In the ninth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Na–O bond distances ranging from 2.16–2.26 Å. There are fifteen inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.07 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.29 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.05 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.28 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the tenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the eleventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the thirteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.29 Å. In the fourteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.31 Å. In the fifteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.02 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with four ONaMn3 tetrahedra, corners with six ONa2Mn2 trigonal pyramids, an edgeedge with one ONa2Mn2 tetrahedra, and an edgeedge with one ONa2Mn2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONa2Mn2 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with five ONaMn3 tetrahedra, corners with five ONaMn3 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with five ONaMn3 tetrahedra, corners with five ONaMn3 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with four ONaMn3 tetrahedra, corners with six ONa2Mn2 trigonal pyramids, an edgeedge with one ONa2Mn2 tetrahedra, and an edgeedge with one ONa2Mn2 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form distorted ONaMn3 tetrahedra that share corners with seven ONa2Mn2 tetrahedra, corners with four ONaMn3 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the eleventh O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twelfth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 tetrahedra that share corners with three ONaMn3 tetrahedra, corners with seven ONa2Mn2 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form ONaMn3 tetrahedra that share corners with seven ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form ONaMn3 tetrahedra that share corners with seven ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form distorted ONaMn3 tetrahedra that share corners with six ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on V5BiO10 by Materials Project

V5BiO10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent V+3.40+ sites. In the first V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of V–O bond distances ranging from 1.84–2.08 Å. In the second V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of V–O bond distances ranging from 1.87–2.08 Å. In the third V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of V–O bond distances ranging from 1.82–2.09 Å. In the fourth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of V–O bond distances ranging from 1.85–2.06 Å. In the fifth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of V–O bond distances ranging from 1.97–2.12 Å. In the sixth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of V–O bond distances ranging from 1.82–2.05 Å. In the seventh V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of V–O bond distances ranging from 1.87–2.08 Å. In the eighth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. In the ninth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.95–2.10 Å. In the tenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of V–O bond distances ranging from 1.94–2.11 Å. In the eleventh V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of V–O bond distances ranging from 1.85–2.08 Å. In the twelfth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of V–O bond distances ranging from 1.95–2.12 Å. In the thirteenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of V–O bond distances ranging from 1.82–2.07 Å. In the fourteenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of V–O bond distances ranging from 1.92–2.10 Å. In the fifteenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of V–O bond distances ranging from 1.86–2.10 Å. In the sixteenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of V–O bond distances ranging from 1.82–2.04 Å. In the seventeenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of V–O bond distances ranging from 1.78–2.09 Å. In the eighteenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of V–O bond distances ranging from 1.95–2.13 Å. In the nineteenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of V–O bond distances ranging from 1.81–2.07 Å. In the twentieth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of V–O bond distances ranging from 1.97–2.08 Å. There are four inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.40–2.54 Å. In the second Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.43–2.52 Å. In the third Bi3+ site, Bi3+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.36–2.60 Å. In the fourth Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.40–2.57 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.40+ and one Bi3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.40+ and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to three V+3.40+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three V+3.40+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three V+3.40+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.40+ and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.40+ and one Bi3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three V+3.40+ and one Bi3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.40+ and one Bi3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.40+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three V+3.40+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the twenty-eighth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three V+3.40+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.40+ and one Bi3+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.40+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom. In the thirty-seventh O2- site, O2- is bonded in a trigonal planar geometry to three V+3.40+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.40+ atoms. In the thirty-ninth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three V+3.40+ atoms. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.40+ and one Bi3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li11Ti24O48 by Materials Project

Li11Ti24O48 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. All Li–O bond lengths are 2.01 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. All Li–O bond lengths are 2.01 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are three shorter (2.01 Å) and one longer (2.02 Å) Li–O bond lengths. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. All Li–O bond lengths are 2.01 Å. In the fifth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. All Li–O bond lengths are 2.01 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are three shorter (2.01 Å) and one longer (2.02 Å) Li–O bond lengths. There are ten inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the ninth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. In the tenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Ti–O bond lengths. There are twenty-three inequivalent O sites. In the first O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the second O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Ti bond length is 2.01 Å. In the third O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fourth O site, O is bonded in a distorted T-shaped geometry to three Ti atoms. In the fifth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the sixth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the seventh O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Ti bond length is 2.01 Å. In the eighth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the ninth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the tenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the eleventh O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twelfth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. Both O–Ti bond lengths are 2.02 Å. In the thirteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Ti bond length is 2.02 Å. In the fourteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to three Ti atoms. The O–Ti bond length is 1.97 Å. In the sixteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Ti bond length is 2.02 Å. In the seventeenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the eighteenth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the nineteenth O site, O is bonded in a distorted T-shaped geometry to three Ti atoms. The O–Ti bond length is 1.97 Å. In the twentieth O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-first O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-second O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. There are one shorter (2.01 Å) and two longer (2.02 Å) O–Ti bond lengths. In the twenty-third O site, O is bonded to one Li and three Ti atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. There are two shorter (2.01 Å) and one longer (2.04 Å) O–Ti bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on NaMn8O16 by Materials Project

NaMn8O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.56 Å. In the second Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–2.57 Å. There are sixteen inequivalent Mn+3.88+ sites. In the first Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the second Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the third Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the fourth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the fifth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the sixth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the seventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.93–2.09 Å. In the eighth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the ninth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the tenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eleventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the twelfth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the thirteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fourteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fifteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.04 Å. In the sixteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Mn+3.88+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Mn+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Mn+3.88+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the thirtieth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form distorted corner-sharing ONaMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na11(Ru4O9)4 by Materials Project

Na11(Ru4O9)4 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.60 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.88 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.78 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.82 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.78 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–3.09 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.69 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.72 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.57 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.56 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.51 Å. There are sixteen inequivalent Ru+3.81+ sites. In the first Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Ru–O bond distances ranging from 1.92–2.16 Å. In the second Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–49°. There are a spread of Ru–O bond distances ranging from 1.93–2.13 Å. In the third Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of Ru–O bond distances ranging from 1.94–2.14 Å. In the fourth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Ru–O bond distances ranging from 1.94–2.12 Å. In the fifth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ru–O bond distances ranging from 1.92–2.09 Å. In the sixth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Ru–O bond distances ranging from 1.91–2.07 Å. In the seventh Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ru–O bond distances ranging from 1.93–2.09 Å. In the eighth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of Ru–O bond distances ranging from 1.92–2.08 Å. In the ninth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ru–O bond distances ranging from 2.00–2.08 Å. In the tenth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ru–O bond distances ranging from 1.98–2.07 Å. In the eleventh Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ru–O bond distances ranging from 1.99–2.09 Å. In the twelfth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ru–O bond distances ranging from 1.98–2.09 Å. In the thirteenth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ru–O bond distances ranging from 1.99–2.07 Å. In the fourteenth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Ru–O bond distances ranging from 1.92–2.07 Å. In the fifteenth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form edge-sharing RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.03–2.09 Å. In the sixteenth Ru+3.81+ site, Ru+3.81+ is bonded to six O2- atoms to form edge-sharing RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.03–2.08 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ru+3.81+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ru+3.81+ atoms. In the fifth O2- site, O2- is bonded to four Na1+ and two Ru+3.81+ atoms to form distorted ONa4Ru2 pentagonal pyramids that share corners with two equivalent ONa2Ru3 square pyramids, an edgeedge with one ONa2Ru3 square pyramid, and an edgeedge with one ONa3Ru2 trigonal bipyramid. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and two Ru+3.81+ atoms. In the seventh O2- site, O2- is bonded to three Na1+ and two Ru+3.81+ atoms to form distorted ONa3Ru2 trigonal bipyramids that share corners with four ONa2Ru3 trigonal bipyramids and an edgeedge with one ONa4Ru2 pentagonal pyramid. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ru+3.81+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+ and three Ru+3.81+ atoms. In the tenth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form distorted ONa2Ru3 trigonal bipyramids that share corners with four ONa3Ru2 trigonal bipyramids and edges with four ONa2Ru3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the thirteenth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form distorted ONa2Ru3 trigonal bipyramids that share corners with three ONa3Ru2 trigonal bipyramids and an edgeedge with one ONa2Ru3 trigonal bipyramid. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the seventeenth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form a mixture of distorted corner and edge-sharing ONa2Ru3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form a mixture of distorted corner and edge-sharing ONa2Ru3 trigonal bipyramids. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ru+3.81+ atoms. In the twentieth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form a mixture of distorted corner and edge-sharing ONa2Ru3 trigonal bipyramids. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ru+3.81+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ru+3.81+ atoms. In the twenty-third O2- site, O2- is bonded to three Na1+ and two Ru+3.81+ atoms to form distorted ONa3Ru2 trigonal bipyramids that share corners with six ONa3Ru2 trigonal bipyramids and edges with two ONa2Ru3 trigonal bipyramids. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ru+3.81+ atoms. In the twenty-fifth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form a mixture of distorted corner and edge-sharing ONa2Ru3 trigonal bipyramids. In the twenty-sixth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form a mixture of distorted corner and edge-sharing ONa2Ru3 trigonal bipyramids. In the twenty-seventh O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form a mixture of distorted corner and edge-sharing ONa2Ru3 trigonal bipyramids. In the twenty-eighth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form distorted edge-sharing ONa2Ru3 trigonal bipyramids. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ru+3.81+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ru+3.81+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ru+3.81+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ru+3.81+ atoms. In the thirty-third O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form distorted ONa2Ru3 square pyramids that share a cornercorner with one ONa2Ru3 trigonal bipyramid, an edgeedge with one ONa4Ru2 pentagonal pyramid, edges with two equivalent ONa2Ru3 square pyramids, and edges with two ONa2Ru3 trigonal bipyramids. In the thirty-fourth O2- site, O2- is bonded to two Na1+ and three Ru+3.81+ atoms to form distorted ONa2Ru3 square pyramids that share corners with two equivalent ONa4Ru2 pentagonal pyramids, a cornercorner with one ONa2Ru3 trigonal bipyramid, edges with two equivalent ONa2Ru3 square pyramids, and edges with two ONa2Ru3 trigonal bipyramids. In the thirty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Na1+ and three Ru+3.81+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ru+3.81+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nd8Re11O38 by Materials Project

Nd8Re11O38 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.88 Å. In the second Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.42–2.88 Å. In the third Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–3.03 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.96 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.90 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.42–2.88 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.95 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–3.00 Å. In the ninth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–3.02 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.92 Å. In the eleventh Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.96 Å. In the twelfth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.93 Å. In the thirteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.97 Å. In the fourteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.92 Å. In the fifteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.98 Å. In the sixteenth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.44–2.89 Å. There are twenty-two inequivalent Re+4.73+ sites. In the first Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.98–2.03 Å. In the second Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Re–O bond distances ranging from 1.98–2.02 Å. In the third Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Re–O bond distances ranging from 1.98–2.02 Å. In the fourth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.97–2.03 Å. In the fifth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Re–O bond distances ranging from 1.87–2.07 Å. In the sixth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.88–2.08 Å. In the seventh Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Re–O bond distances ranging from 1.84–2.02 Å. In the eighth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.89–2.08 Å. In the ninth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Re–O bond distances ranging from 1.87–2.08 Å. In the tenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.97–2.04 Å. In the eleventh Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Re–O bond distances ranging from 1.97–2.03 Å. In the twelfth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Re–O bond distances ranging from 1.97–2.02 Å. In the thirteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Re–O bond distances ranging from 1.99–2.02 Å. In the fourteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.99–2.02 Å. In the fifteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.88–2.10 Å. In the sixteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.98–2.03 Å. In the seventeenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Re–O bond distances ranging from 1.84–2.02 Å. In the eighteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Re–O bond distances ranging from 1.87–2.07 Å. In the nineteenth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Re–O bond distances ranging from 1.87–2.07 Å. In the twentieth Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Re–O bond distances ranging from 1.98–2.03 Å. In the twenty-first Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Re–O bond distances ranging from 1.89–2.10 Å. In the twenty-second Re+4.73+ site, Re+4.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ReO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Re–O bond distances ranging from 1.98–2.02 Å. There are seventy-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a tetrahedral geometry to four Nd3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Nd3+ and two Re+4.73+ atoms. In the tenth O2- site, O2- is bonded in a tetrahedral geometry to four Nd3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Re+4.73+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the twenty-ninth O2- site, O2- is bonded in a tetrahedral geometry to four Nd3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Re+4.73+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two N

36 MATERIALS SCIENCE↗

Materials Data on Ce2Y2O7 by Materials Project

Ce2Y2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.24–2.45 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.53 Å. In the third Ce4+ site, Ce4+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, corners with two YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Ce–O bond distances ranging from 2.25–2.46 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.70 Å. In the fifth Ce4+ site, Ce4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.41 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.45 Å. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.57 Å. In the eighth Ce4+ site, Ce4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ce–O bond distances ranging from 2.20–2.35 Å. There are eight inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, and an edgeedge with one CeO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Y–O bond distances ranging from 2.30–2.53 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are a spread of Y–O bond distances ranging from 2.25–2.34 Å. In the third Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 hexagonal pyramids that share corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Y–O bond distances ranging from 2.26–2.41 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO7 hexagonal pyramids, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, and an edgeedge with one YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Y–O bond distances ranging from 2.24–2.34 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, and edges with two YO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Y–O bond distances ranging from 2.24–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.26–2.43 Å. In the seventh Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, and an edgeedge with one CeO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Y–O bond distances ranging from 2.29–2.49 Å. In the eighth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.48 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OCe2Y2 tetrahedra. In the second O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the third O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the fourth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form OCeY3 tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with four OCeY3 tetrahedra. In the fifth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with five OCeY3 tetrahedra. In the sixth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the seventh O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the eighth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the ninth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the tenth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with twelve OCe2Y2 tetrahedra and edges with six OCe3Y tetrahedra. In the eleventh O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twelfth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of edge and corner-sharing OCeY3 tetrahedra. In the fourteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the fifteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the sixteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form OCe3Y tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the seventeenth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OCe2Y2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twentieth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the twenty-second O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with twelve OCe2Y2 tetrahedra and edges with six OCe3Y tetrahedra. In the twenty-third O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with thirteen OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the twenty-seventh O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form distorted OCe2Y2 tetrahedra that share corners with twelve OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ce4+ and two Y3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Cu34S27 by Materials Project

Ba6Cu34S27 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Ba–S bond distances ranging from 3.17–3.76 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Ba–S bond distances ranging from 3.18–3.54 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Ba–S bond distances ranging from 3.15–3.41 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ba–S bond distances ranging from 3.16–3.40 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Ba–S bond distances ranging from 3.17–3.73 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Ba–S bond distances ranging from 3.17–3.46 Å. There are thirty-four inequivalent Cu+1.24+ sites. In the first Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of distorted edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.25–2.93 Å. In the second Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of distorted edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.24–2.81 Å. In the third Cu+1.24+ site, Cu+1.24+ is bonded in a trigonal non-coplanar geometry to three S2- atoms. There are a spread of Cu–S bond distances ranging from 2.26–2.38 Å. In the fourth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.33–2.43 Å. In the fifth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.31–2.46 Å. In the sixth Cu+1.24+ site, Cu+1.24+ is bonded in a trigonal non-coplanar geometry to three S2- atoms. There are a spread of Cu–S bond distances ranging from 2.26–2.36 Å. In the seventh Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.31–2.39 Å. In the eighth Cu+1.24+ site, Cu+1.24+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–2.97 Å. In the ninth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.33–2.43 Å. In the tenth Cu+1.24+ site, Cu+1.24+ is bonded in a trigonal non-coplanar geometry to three S2- atoms. There are a spread of Cu–S bond distances ranging from 2.25–2.38 Å. In the eleventh Cu+1.24+ site, Cu+1.24+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.26–3.02 Å. In the twelfth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.27–2.54 Å. In the thirteenth Cu+1.24+ site, Cu+1.24+ is bonded in a 3-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.27–2.95 Å. In the fourteenth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.30–2.47 Å. In the fifteenth Cu+1.24+ site, Cu+1.24+ is bonded in a distorted trigonal planar geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–3.00 Å. In the sixteenth Cu+1.24+ site, Cu+1.24+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.25–2.87 Å. In the seventeenth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.32–2.39 Å. In the eighteenth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.32–2.39 Å. In the nineteenth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of distorted edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.25–2.88 Å. In the twentieth Cu+1.24+ site, Cu+1.24+ is bonded in a 3-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.29–2.93 Å. In the twenty-first Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.30–2.51 Å. In the twenty-second Cu+1.24+ site, Cu+1.24+ is bonded in a distorted trigonal planar geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–3.02 Å. In the twenty-third Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.26–2.54 Å. In the twenty-fourth Cu+1.24+ site, Cu+1.24+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–3.04 Å. In the twenty-fifth Cu+1.24+ site, Cu+1.24+ is bonded in a trigonal non-coplanar geometry to three S2- atoms. There are a spread of Cu–S bond distances ranging from 2.25–2.38 Å. In the twenty-sixth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.32–2.45 Å. In the twenty-seventh Cu+1.24+ site, Cu+1.24+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.25–2.96 Å. In the twenty-eighth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.30–2.39 Å. In the twenty-ninth Cu+1.24+ site, Cu+1.24+ is bonded in a distorted trigonal non-coplanar geometry to three S2- atoms. There are a spread of Cu–S bond distances ranging from 2.26–2.37 Å. In the thirtieth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.31–2.46 Å. In the thirty-first Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of edge and corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.32–2.41 Å. In the thirty-second Cu+1.24+ site, Cu+1.24+ is bonded in a trigonal non-coplanar geometry to three S2- atoms. There are a spread of Cu–S bond distances ranging from 2.26–2.37 Å. In the thirty-third Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of distorted edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.24–2.82 Å. In the thirty-fourth Cu+1.24+ site, Cu+1.24+ is bonded to four S2- atoms to form a mixture of distorted edge and corner-sharing CuS4 trigonal pyramids. There are a spread of Cu–S bond distances ranging from 2.25–2.93 Å. There are twenty-seven inequivalent S2- sites. In the first S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the second S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the third S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the fourth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the fifth S2- site, S2- is bonded in a 8-coordinate geometry to two Ba2+ and six Cu+1.24+ atoms. In the sixth S2- site, S2- is bonded in a 7-coordinate geometry to three Ba2+ and four Cu+1.24+ atoms. In the seventh S2- site, S2- is bonded in a 7-coordinate geometry to two Ba2+ and five Cu+1.24+ atoms. In the eighth S2- site, S2- is bonded in a 7-coordinate geometry to three Ba2+ and four Cu+1.24+ atoms. In the ninth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the tenth S2- site, S2- is bonded in a distorted octahedral geometry to three Ba2+ and three Cu+1.24+ atoms. In the eleventh S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the twelfth S2- site, S2- is bonded in a 7-coordinate geometry to two Ba2+ and five Cu+1.24+ atoms. In the thirteenth S2- site, S2- is bonded in a 2-coordinate geometry to three Ba2+ and two Cu+1.24+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted water-like geometry to three Ba2+, two Cu+1.24+, and one S2- atom. The S–S bond length is 2.16 Å. In the fifteenth S2- site, S2- is bonded in a 7-coordinate geometry to two Ba2+ and five Cu+1.24+ atoms. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Ba2+ and one S2- atom. In the seventeenth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted octahedral geometry to three Ba2+ and three Cu+1.24+ atoms. In the nineteenth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the twentieth S2- site, S2- is bonded in a 7-coordinate geometry to three Ba2+ and four Cu+1.24+ atoms. In the twenty-first S2- site, S2- is bonded in a 7-coordinate geometry to two Ba2+ and five Cu+1.24+ atoms. In the twenty-second S2- site, S2- is bonded in a 7-coordinate geometry to three Ba2+ and four Cu+1.24+ atoms. In the twenty-third S2- site, S2- is bonded in a 8-coordinate geometry to two Ba2+ and six Cu+1.24+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the twenty-sixth S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms. In the twenty-seventh S2- site, S2- is bonded in a 7-coordinate geometry to one Ba2+ and six Cu+1.24+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr5O9 by Materials Project

Pr5O9 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are ten inequivalent Pr+3.60+ sites. In the first Pr+3.60+ site, Pr+3.60+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.41–2.72 Å. In the second Pr+3.60+ site, Pr+3.60+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.44–2.69 Å. In the third Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO7 hexagonal pyramid, a cornercorner with one PrO6 octahedra, edges with two equivalent PrO7 hexagonal pyramids, an edgeedge with one PrO6 octahedra, and edges with two PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Pr–O bond distances ranging from 2.39–2.49 Å. In the fourth Pr+3.60+ site, Pr+3.60+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.45–2.63 Å. In the fifth Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 hexagonal pyramids that share a cornercorner with one PrO6 octahedra, a cornercorner with one PrO7 pentagonal bipyramid, an edgeedge with one PrO7 hexagonal pyramid, and edges with three PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Pr–O bond distances ranging from 2.37–2.52 Å. In the sixth Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO6 octahedra, corners with two PrO7 pentagonal bipyramids, an edgeedge with one PrO6 octahedra, and edges with two PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Pr–O bond distances ranging from 2.37–2.56 Å. In the seventh Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO6 octahedra, corners with two PrO7 pentagonal bipyramids, an edgeedge with one PrO6 octahedra, and edges with three PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Pr–O bond distances ranging from 2.39–2.50 Å. In the eighth Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO6 octahedra, corners with two PrO7 pentagonal bipyramids, an edgeedge with one PrO7 hexagonal pyramid, and an edgeedge with one PrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Pr–O bond distances ranging from 2.42–2.47 Å. In the ninth Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.37–2.59 Å. In the tenth Pr+3.60+ site, Pr+3.60+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing PrO6 octahedra. There are a spread of Pr–O bond distances ranging from 2.35–2.41 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the second O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the third O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd2Zr8O19 by Materials Project

Nd2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.24–2.36 Å. In the second Nd3+ site, Nd3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NdO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nd–O bond distances ranging from 2.15–2.58 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.37 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.35 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.28 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.29 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.33 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.31 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form ONd2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six ONd4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Zr2 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er2Zr8O19 by Materials Project

Er2Zr8O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.37 Å. In the second Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.36 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.39 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.39 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.37 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.32 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.29 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.35 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.37 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.38 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Er3+ atoms to form a mixture of edge and corner-sharing OEr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd2Th8O19 by Materials Project

Th8Nd2O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Th4+ sites. In the first Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.36–2.51 Å. In the second Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.40–2.47 Å. In the third Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.43 Å) and four longer (2.44 Å) Th–O bond lengths. In the fourth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.43 Å) and six longer (2.44 Å) Th–O bond lengths. In the fifth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are three shorter (2.43 Å) and five longer (2.44 Å) Th–O bond lengths. In the sixth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.42–2.45 Å. In the seventh Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.40–2.47 Å. In the eighth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.36–2.53 Å. There are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.27–2.55 Å. In the second Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.28–2.55 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the second O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the third O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fourth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fifth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventh O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the ninth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent Nd3+ atoms to form a mixture of edge and corner-sharing ONd2Th2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Th4+ and two equivalent Nd3+ atoms to form a mixture of edge and corner-sharing ONd2Th2 tetrahedra. In the twelfth O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent Nd3+ atoms to form a mixture of edge and corner-sharing ONd2Th2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent Nd3+ atoms to form a mixture of edge and corner-sharing ONd2Th2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Yb2Ce8O19 by Materials Project

Yb2Ce8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.25–2.43 Å. In the second Yb3+ site, Yb3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.25–2.43 Å. There are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.38 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.31–2.39 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.35 Å) and six longer (2.36 Å) Ce–O bond lengths. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. In the fifth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.38 Å. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.31–2.40 Å. In the eighth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the second O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the third O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fourth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the sixth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventh O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the ninth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the twelfth O2- site, O2- is bonded to four Yb3+ atoms to form a mixture of edge and corner-sharing OYb4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra.

36 MATERIALS SCIENCE↗