Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “distortion”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 811 records · Page 45

Materials Data on Ca2Al4Si4H18O25 by Materials Project

(Ca4Al8Si8H33O49)2(H2)2H2O2 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of two hydrogen molecules, one water molecule, and one Ca4Al8Si8H33O49 framework. In the Ca4Al8Si8H33O49 framework, there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to one H1+ and seven O2- atoms. The Ca–H bond length is 2.60 Å. There are a spread of Ca–O bond distances ranging from 2.24–2.91 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to one H1+ and five O2- atoms. The Ca–H bond length is 2.67 Å. There are a spread of Ca–O bond distances ranging from 2.22–2.64 Å. In the third Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.21–2.72 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.16–2.69 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. In the second Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 trigonal bipyramids that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–2.18 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.93 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.82 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.94 Å. In the sixth Al3+ site, Al3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Al–O bond distances ranging from 1.79–1.83 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the eighth Al3+ site, Al3+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Al–O bond distances ranging from 1.83–2.36 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.74 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.60–1.70 Å. In the fifth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.63–1.75 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. There are thirty-three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the second H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the third H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.09 Å) and one longer (1.40 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.66 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixth H1+ site, H1+ is bonded in a bent 150 degrees geometry to two O2- atoms. There is one shorter (1.07 Å) and one longer (1.43 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one Ca2+ atom. In the eighth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.06 Å) and one longer (1.48 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one Ca2+ and one O2- atom. The H–O bond length is 0.98 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifteenth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.07 Å) and one longer (1.45 Å) H–O bond length. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the seventeenth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (0.98 Å) and one longer (1.66 Å) H–O bond length. In the eighteenth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.62 Å) H–O bond length. In the nineteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twentieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twenty-first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twenty-second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the twenty-third H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.59 Å) H–O bond length. In the twenty-fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twenty-fifth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.06 Å) and one longer (1.42 Å) H–O bond length. In the twenty-sixth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.62 Å) H–O bond length. In the twenty-seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twenty-eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twenty-ninth H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the thirtieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the thirty-first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the thirty-second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the thirty-third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are forty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to three H1+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three H1+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ca2+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two H1+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Al3+ and two H1+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Al3+, one Si4+, and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one H1+ and one O2- atom. The O–O bond length is 1.48 Å. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a water-like geometry to one Ca2+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Al3+, and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to two Ca2+ and two H1+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted water-like geometry to one Ca2+ and two H1+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one H1+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one H1+, and one O2- atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted water-like geometry to one Ca2+ and two H1+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Al3+ and two H1+ atoms. In the twenty-ninth O2- site, O2- is bonded in an L-shaped geometry to one Al3+ and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Si4+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geom

36 MATERIALS SCIENCE↗

Materials Data on TiNiO3 by Materials Project

NiTiO3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with seven TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–62°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–60°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six NiO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Ti–O bond distances ranging from 1.84–2.18 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six NiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent NiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Ti–O bond distances ranging from 1.86–2.23 Å. There are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of Ni–O bond distances ranging from 2.00–2.14 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Ni–O bond distances ranging from 2.05–2.15 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with six TiO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Ni–O bond distances ranging from 2.03–2.15 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with eight TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Ni–O bond distances ranging from 2.00–2.16 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Ni–O bond distances ranging from 2.07–2.14 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with six TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ni–O bond distances ranging from 2.05–2.18 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the second O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OTi3Ni trigonal pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Ni2+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the fifth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form distorted OTi2Ni2 trigonal pyramids that share a cornercorner with one OTi2Ni2 trigonal pyramid and edges with two OTiNi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form distorted OTi2Ni2 trigonal pyramids that share corners with ten OTi3Ni trigonal pyramids and edges with four OTi2Ni2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the eighth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted edge and corner-sharing OTi2Ni2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted edge and corner-sharing OTi2Ni2 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted edge and corner-sharing OTi2Ni2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted edge and corner-sharing OTi2Ni2 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Ni2+ atoms. In the thirteenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form distorted OTi2Ni2 trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OTi2Ni2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Ti4+ and three Ni2+ atoms to form a mixture of distorted edge and corner-sharing OTiNi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted edge and corner-sharing OTi2Ni2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the seventeenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form distorted OTi2Ni2 trigonal pyramids that share corners with six OTi2Ni2 trigonal pyramids and edges with three OTiNi3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na7Al10Si14(AgO16)3 by Materials Project

Na7Al10Si14(AgO16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.41 Å. In the second Na site, Na is bonded in a 2-coordinate geometry to two O atoms. There are one shorter (2.17 Å) and one longer (2.19 Å) Na–O bond lengths. In the third Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.15–2.40 Å. In the fourth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.21–2.77 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.21–2.76 Å. In the sixth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.22–2.56 Å. In the seventh Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.22–2.60 Å. There are three inequivalent Ag sites. In the first Ag site, Ag is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Ag–O bond distances ranging from 2.28–2.49 Å. In the second Ag site, Ag is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ag–O bond distances ranging from 2.33–2.56 Å. In the third Ag site, Ag is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Ag–O bond distances ranging from 2.27–2.48 Å. There are ten inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.85 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.77 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.82 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.80 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.78 Å. There are fourteen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.69 Å. In the fourth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the fourteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fifth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Ag, one Al, and one Si atom. In the seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Ag and two Si atoms. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Ag and two Si atoms. In the ninth O site, O is bonded in a distorted bent 150 degrees geometry to one Ag and two Si atoms. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Ag and two Si atoms. In the eleventh O site, O is bonded in a distorted bent 150 degrees geometry to one Ag, one Al, and one Si atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fourteenth O site, O is bonded in a distorted linear geometry to one Ag, one Al, and one Si atom. In the fifteenth O site, O is bonded in a linear geometry to one Al and one Si atom. In the sixteenth O site, O is bonded in a linear geometry to two Si atoms. In the seventeenth O site, O is bonded in a linear geometry to two Si atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Ag and two Si atoms. In the twentieth O site, O is bonded in a distorted bent 150 degrees geometry to one Ag, one Al, and one Si atom. In the twenty-first O site, O is bonded in a distorted bent 150 degrees geometry to one Ag, one Al, and one Si atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the twenty-fourth O site, O is bonded in a 2-coordinate geometry to one Na and two Al atoms. In the twenty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Al and one Si atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to one Na and two Al atoms. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to one Na and two Al atoms. In the twenty-eighth O site, O is bonded in a 2-coordinate geometry to one Na and two Al atoms. In the twenty-ninth O site, O is bonded in a 3-coordinate geometry to one Na and two Al atoms. In the thirtieth O site, O is bonded in a 2-coordinate geometry to one Na and two Al atoms. In the thirty-first O site, O is bonded in a distorted trigonal bipyramidal geometry to three Na and two Al atoms. In the thirty-second O site, O is bonded in a 2-coordinate geometry to one Na and two Al atoms. In the thirty-third O site, O is bonded in a 5-coordinate geometry to three Na and two Al atoms. In the thirty-fourth O site, O is bonded in a distorted T-shaped geometry to one Na and two Al atoms. In the thirty-fifth O site, O is bonded in a 2-coordinate geometry to one Na and two Al atoms. In the thirty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the thirty-seventh O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the thirty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-ninth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the fortieth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-first O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-second O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the forty-third O site, O is bonded in a distorted trigonal planar geometry to one Na, one Al, and one Si atom. In the forty-fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the forty-fifth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the forty-sixth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the forty-seventh O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the forty-eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na7Al12Si12H6ClO48 by Materials Project

Na7Al12Si12H6O48Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.31–2.92 Å. In the second Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.92 Å. In the third Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.78 Å. In the fourth Na site, Na is bonded in a 6-coordinate geometry to one H and five O atoms. The Na–H bond length is 2.38 Å. There are a spread of Na–O bond distances ranging from 2.27–2.74 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to three O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.38–2.74 Å. The Na–Cl bond length is 2.55 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to one H and five O atoms. The Na–H bond length is 2.34 Å. There are a spread of Na–O bond distances ranging from 2.22–2.81 Å. In the seventh Na site, Na is bonded in a 5-coordinate geometry to one H, three O, and one Cl atom. The Na–H bond length is 2.60 Å. There are a spread of Na–O bond distances ranging from 2.31–2.83 Å. The Na–Cl bond length is 2.53 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form distorted AlO4 trigonal pyramids that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.88 Å. In the second Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.91 Å. In the third Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.95 Å. In the fourth Al site, Al is bonded to four O atoms to form distorted AlO4 trigonal pyramids that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.90 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.92 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.77 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.77 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There is two shorter (1.73 Å) and two longer (1.78 Å) Al–O bond length. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.91 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There is one shorter (1.61 Å) and three longer (1.64 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.77 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.57–1.73 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.60–1.76 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.59–1.76 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.60–1.76 Å. There are six inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the fourth H site, H is bonded in a single-bond geometry to one Na and one O atom. The H–O bond length is 0.98 Å. In the fifth H site, H is bonded in a single-bond geometry to one Na and one O atom. The H–O bond length is 0.98 Å. In the sixth H site, H is bonded in a single-bond geometry to one Na and one O atom. The H–O bond length is 0.99 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Al, one Si, and one H atom. In the second O site, O is bonded in a 3-coordinate geometry to one Na, one Al, one Si, and one H atom. In the third O site, O is bonded in a 3-coordinate geometry to one Na, one Al, one Si, and one H atom. In the fourth O site, O is bonded in a 1-coordinate geometry to one Na, one Al, one Si, and one H atom. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the seventh O site, O is bonded in a linear geometry to one Al and one Si atom. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the eleventh O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the twelfth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Al, and one Si atom. In the fifteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the eighteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Al, and one Si atom. In the nineteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Al, and one Si atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-fifth O site, O is bonded in a 1-coordinate geometry to one Na, one Al, one Si, and one H atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to two Na, one Al, and one Si atom. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to two Na, one Al, and one Si atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the twenty-ninth O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirtieth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the thirty-second O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirty-third O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-fourth O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirty-fifth O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirty-sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Al and one Si atom. In the thirty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to one Na, one Al, and one Si atom. In the fortieth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-first O site, O is bonded in a bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-second O site, O is bonded in a 3-coordinate geometry to one Al, one Si, and one H atom. In the forty-third O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the forty-fifth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the forty-sixth

36 MATERIALS SCIENCE↗

Materials Data on Na2P2H2O7 by Materials Project

H2P2O7Na2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.39–2.80 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.37–2.81 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.38–2.80 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.38–2.81 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.40–2.81 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.38–2.81 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.41–2.82 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.41–2.82 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NaO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are eight inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.20 Å) and one longer (1.21 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.17 Å) and one longer (1.24 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.20 Å) and one longer (1.21 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.18 Å) and one longer (1.23 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.20 Å) and one longer (1.22 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.20 Å) and one longer (1.21 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.23 Å) H–O bond length. In the eighth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.18 Å) and one longer (1.24 Å) H–O bond length. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one P5+, and one H1+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on V7O13 by Materials Project

V7O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent V+3.71+ sites. In the first V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the second V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of V–O bond distances ranging from 1.97–2.08 Å. In the third V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of V–O bond distances ranging from 1.92–2.01 Å. In the fourth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of V–O bond distances ranging from 1.87–2.01 Å. In the fifth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of V–O bond distances ranging from 1.88–2.13 Å. In the sixth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of V–O bond distances ranging from 1.92–2.03 Å. In the seventh V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of V–O bond distances ranging from 1.77–2.18 Å. In the eighth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of V–O bond distances ranging from 1.79–2.16 Å. In the ninth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of V–O bond distances ranging from 1.95–2.11 Å. In the tenth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of V–O bond distances ranging from 1.97–2.14 Å. In the eleventh V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of V–O bond distances ranging from 1.75–2.13 Å. In the twelfth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of V–O bond distances ranging from 1.90–2.12 Å. In the thirteenth V+3.71+ site, V+3.71+ is bonded to six O2- atoms to form a mixture of distorted face, edge, and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of V–O bond distances ranging from 1.75–2.18 Å. In the fourteenth V+3.71+ site, V+3.71+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.79–2.19 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the fifteenth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the nineteenth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four V+3.71+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to four V+3.71+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.71+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.71+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three V+3.71+ atoms. In the twenty-sixth O2- site, O2- is bonded to four V+3.71+ atoms to form distorted edge-sharing OV4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Rb9Na2Al11Si13O48 by Materials Project

Rb9Na2Al11Si13O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Rb sites. In the first Rb site, Rb is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Rb–O bond distances ranging from 2.87–3.52 Å. In the second Rb site, Rb is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Rb–O bond distances ranging from 2.74–3.21 Å. In the third Rb site, Rb is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Rb–O bond distances ranging from 2.80–3.36 Å. In the fourth Rb site, Rb is bonded to five O atoms to form distorted RbO5 trigonal bipyramids that share corners with two SiO4 tetrahedra and edges with four AlO4 tetrahedra. There are a spread of Rb–O bond distances ranging from 2.84–3.26 Å. In the fifth Rb site, Rb is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Rb–O bond distances ranging from 2.65–3.16 Å. In the sixth Rb site, Rb is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Rb–O bond distances ranging from 2.63–3.30 Å. In the seventh Rb site, Rb is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Rb–O bond distances ranging from 2.81–3.30 Å. In the eighth Rb site, Rb is bonded in a 4-coordinate geometry to two O atoms. There are one shorter (2.70 Å) and one longer (2.76 Å) Rb–O bond lengths. In the ninth Rb site, Rb is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Rb–O bond distances ranging from 3.02–3.52 Å. There are two inequivalent Na sites. In the first Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are one shorter (2.25 Å) and two longer (2.31 Å) Na–O bond lengths. In the second Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.22–2.38 Å. There are eleven inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There is one shorter (1.76 Å) and three longer (1.78 Å) Al–O bond length. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one RbO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.83 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one RbO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. There is three shorter (1.75 Å) and one longer (1.78 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one RbO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.70–1.79 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one RbO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.71–1.81 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.82 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.78 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. There are thirteen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.64 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fourth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and a cornercorner with one RbO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and a cornercorner with one RbO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three SiO4 tetrahedra. There is one shorter (1.62 Å) and three longer (1.64 Å) Si–O bond length. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the second O site, O is bonded in a bent 120 degrees geometry to two Si atoms. In the third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to two Rb, one Al, and one Si atom. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Rb and two Si atoms. In the seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Si atoms. In the eleventh O site, O is bonded in a distorted linear geometry to one Rb, one Al, and one Si atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Rb and two Si atoms. In the thirteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Si atoms. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the sixteenth O site, O is bonded in a bent 120 degrees geometry to two Si atoms. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to two Si atoms. In the eighteenth O site, O is bonded in a linear geometry to one Rb and two Si atoms. In the nineteenth O site, O is bonded in a linear geometry to two Si atoms. In the twentieth O site, O is bonded in a distorted linear geometry to one Rb and two Si atoms. In the twenty-first O site, O is bonded in a distorted linear geometry to one Rb, one Al, and one Si atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twenty-third O site, O is bonded in a linear geometry to two Si atoms. In the twenty-fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Rb, one Al, and one Si atom. In the twenty-seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Rb, one Al, and one Si atom. In the twenty-eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Rb, one Al, and one Si atom. In the twenty-ninth O site, O is bonded in a distorted bent 120 degrees geometry to two Rb and two Al atoms. In the thirtieth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Al atoms. In the thirty-first O site, O is bonded in a distorted bent 150 degrees geometry to one Rb and two Al atoms. In the thirty-second O site, O is bonded in a 4-coordinate geometry to one Rb, one Na, and two Al atoms. In the thirty-third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Rb, one Na, and two Al atoms. In the thirty-fourth O site, O is bonded in a distorted bent 150 degrees geometry to two Rb and two Al atoms. In the thirty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to two Rb and two Al atoms. In the thirty-sixth O site, O is bonded in a distorted bent 150 degrees geometry to three Rb and two Al atoms. In the thirty-seventh O site, O is bonded in a 2-coordinate geometry to one Rb, one Na, and two Al atoms. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to one Rb and two Al atoms. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to two Rb and two Al atoms. In the fortieth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Al, and one Si atom. In the forty-first O site, O is bonded in a 3-coordinate geometry to one Rb, one Al, and one Si atom. In the forty-second O site, O is bonded in a 2-coordinate geometry to one Rb, one Al, and one Si atom. In the forty-third O site, O is bonde

36 MATERIALS SCIENCE↗

Materials Data on Sr11LaFe6(MoO6)6 by Materials Project

Sr11LaFe6(MoO6)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.11 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–3.04 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–3.06 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–3.07 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MoO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.12 Å. In the sixth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.59–3.14 Å. In the seventh Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three MoO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.67–3.10 Å. In the eighth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.07 Å. In the ninth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.17 Å. In the tenth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.66–3.14 Å. In the eleventh Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.59–3.17 Å. La3+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of La–O bond distances ranging from 2.43–3.05 Å. There are six inequivalent Mo+4.83+ sites. In the first Mo+4.83+ site, Mo+4.83+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mo–O bond distances ranging from 2.00–2.08 Å. In the second Mo+4.83+ site, Mo+4.83+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with four FeO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Mo–O bond distances ranging from 1.97–2.03 Å. In the third Mo+4.83+ site, Mo+4.83+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five FeO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mo–O bond distances ranging from 1.93–2.04 Å. In the fourth Mo+4.83+ site, Mo+4.83+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six FeO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Mo–O bond distances ranging from 1.95–2.05 Å. In the fifth Mo+4.83+ site, Mo+4.83+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five FeO6 octahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Mo–O bond distances ranging from 1.94–2.03 Å. In the sixth Mo+4.83+ site, Mo+4.83+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six FeO6 octahedra and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–21°. There are a spread of Mo–O bond distances ranging from 1.94–2.04 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six MoO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–21°. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with four FeO6 octahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–20°. There are a spread of Fe–O bond distances ranging from 2.01–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five MoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Fe–O bond distances ranging from 1.98–2.09 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five MoO6 octahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of Fe–O bond distances ranging from 1.98–2.12 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MoO6 octahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–20°. There are a spread of Fe–O bond distances ranging from 1.96–2.09 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+ and two Fe3+ atoms to form distorted OSr4Fe2 octahedra that share corners with five OSr4FeMo octahedra and edges with two equivalent OSr4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the second O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the third O2- site, O2- is bonded to four Sr2+, one Mo+4.83+, and one Fe3+ atom to form distorted OSr4FeMo octahedra that share corners with four OSr4Mo2 octahedra and edges with two equivalent OSr4FeMo octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O2- site, O2- is bonded to four Sr2+, one Mo+4.83+, and one Fe3+ atom to form distorted corner-sharing OSr4FeMo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two equivalent La3+, one Mo+4.83+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ and two Mo+4.83+ atoms to form distorted OSr4Mo2 octahedra that share corners with four OSr4Mo2 octahedra and edges with two equivalent OSr3LaFe2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one La3+, one Mo+4.83+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, one Mo+4.83+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and two Mo+4.83+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one Mo+4.83+, and one Fe3+ atom. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one La3+, and two Fe3+ atoms. In the nineteenth O2- site, O2- is bonded to four Sr2+ and two Mo+4.83+ atoms to form distorted OSr4Mo2 octahedra that share corners with five OSr4Mo2 octahedra and edges with two equivalent OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twentieth O2- site, O2- is bonded to four Sr2+, one Mo+4.83+, and one Fe3+ atom to form distorted OSr4FeMo octahedra that share corners with five OSr4Mo2 octahedra and edges with two equivalent OSr4FeMo octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, one Mo+4.83+, and one Fe3+ atom. In the twenty-third O2- site, O2- is bonded to three Sr2+, one La3+, and two Fe3+ atoms to form distorted OSr3LaFe2 octahedra that share corners with four OSr3LaFe2 octahedra and edges with two equivalent OSr4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+, one Mo+4.83+, and one Fe3+ atom. In the twenty-eighth

36 MATERIALS SCIENCE↗

Materials Data on La10Bi8O27 by Materials Project

Bi8La10O27 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.65 Å. In the second La3+ site, La3+ is bonded to seven O2- atoms to form distorted edge-sharing LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.33–2.66 Å. In the third La3+ site, La3+ is bonded to seven O2- atoms to form distorted edge-sharing LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.43–2.51 Å. In the fourth La3+ site, La3+ is bonded to seven O2- atoms to form distorted edge-sharing LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.45–2.54 Å. In the fifth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.52–3.06 Å. In the sixth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.52–3.02 Å. In the seventh La3+ site, La3+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share corners with two BiO4 trigonal pyramids and edges with two LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.42–2.54 Å. In the eighth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.76 Å. In the ninth La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.72 Å. In the tenth La3+ site, La3+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share corners with two BiO4 trigonal pyramids and edges with two LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.42–2.54 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to four O2- atoms to form distorted BiO4 trigonal pyramids that share corners with two LaO7 pentagonal bipyramids and corners with two equivalent BiO4 trigonal pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.33 Å. In the second Bi3+ site, Bi3+ is bonded to four O2- atoms to form distorted BiO4 trigonal pyramids that share corners with two LaO7 pentagonal bipyramids and corners with two equivalent BiO4 trigonal pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.33 Å. In the third Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.24 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.73 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.73 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–3.02 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.07 Å) and one longer (2.13 Å) Bi–O bond lengths. In the eighth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.07 Å) and one longer (2.13 Å) Bi–O bond lengths. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with eleven OLa4 tetrahedra, edges with four OLa4 tetrahedra, and an edgeedge with one OLaBi3 trigonal pyramid. In the second O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the third O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the fourth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with eleven OLa4 tetrahedra, edges with four OLa4 tetrahedra, and an edgeedge with one OLaBi3 trigonal pyramid. In the fifth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra and edges with four OLa3Bi tetrahedra. In the sixth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra, edges with four OLa2Bi2 tetrahedra, and an edgeedge with one OLaBi3 trigonal pyramid. In the seventh O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra and edges with four OLa2Bi2 tetrahedra. In the eighth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra and edges with five OLa3Bi tetrahedra. In the ninth O2- site, O2- is bonded to one La3+ and three Bi3+ atoms to form distorted OLaBi3 tetrahedra that share corners with nine OLa4 tetrahedra, corners with two equivalent OLaBi3 trigonal pyramids, and edges with three OLa3Bi tetrahedra. In the tenth O2- site, O2- is bonded to one La3+ and three Bi3+ atoms to form distorted OLaBi3 trigonal pyramids that share corners with eleven OLa4 tetrahedra and edges with three OLa3Bi tetrahedra. In the eleventh O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twelfth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form a mixture of distorted edge and corner-sharing OLa2Bi2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form distorted OLa2Bi2 tetrahedra that share corners with seven OLa3Bi tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four La3+ atoms to form OLa4 tetrahedra that share corners with twelve OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with four OLa3Bi tetrahedra. In the sixteenth O2- site, O2- is bonded to four La3+ atoms to form OLa4 tetrahedra that share corners with thirteen OLa4 tetrahedra and edges with four OLa2Bi2 tetrahedra. In the seventeenth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form distorted OLa2Bi2 tetrahedra that share corners with seven OLa2Bi2 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the eighteenth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form distorted OLa2Bi2 tetrahedra that share corners with six OLa2Bi2 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa3Bi tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa3Bi tetrahedra. In the twenty-first O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa2Bi2 tetrahedra. In the twenty-second O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa3Bi tetrahedra. In the twenty-third O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra and edges with five OLa2Bi2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Bi3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and one Bi3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Bi3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Bi3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca19(Cu12O23)2 by Materials Project

Ca19(Cu12O23)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ca sites. In the first Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.38 Å. In the second Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.86 Å. In the third Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.60 Å. In the fourth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.43 Å. In the fifth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.40 Å. In the sixth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.49 Å. In the seventh Ca site, Ca is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.95 Å. In the eighth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.64 Å. In the ninth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.47 Å. In the tenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.44 Å. In the eleventh Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.65 Å. In the twelfth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.64 Å. In the thirteenth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.44 Å. In the fourteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.41 Å. In the fifteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.44 Å. In the sixteenth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.64 Å. In the seventeenth Ca site, Ca is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.97 Å. In the eighteenth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.50 Å. In the nineteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.38 Å. There are twenty-four inequivalent Cu sites. In the first Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.02 Å. In the second Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.02 Å. In the third Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.88 Å. In the fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.02 Å. In the fifth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.00 Å. In the sixth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.92 Å. In the seventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.88 Å. In the eighth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.89–1.96 Å. In the ninth Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.85–2.06 Å. In the tenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.90 Å. In the eleventh Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.98 Å. In the twelfth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is three shorter (1.91 Å) and one longer (1.92 Å) Cu–O bond length. In the thirteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.10 Å. In the fourteenth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.00 Å. In the fifteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–1.98 Å. In the sixteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is two shorter (1.89 Å) and two longer (1.90 Å) Cu–O bond length. In the seventeenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.90 Å. In the eighteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is three shorter (1.90 Å) and one longer (1.91 Å) Cu–O bond length. In the nineteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.94 Å. In the twentieth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.97–2.01 Å. In the twenty-first Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.05 Å. In the twenty-second Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the twenty-third Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–1.94 Å. In the twenty-fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.01 Å. There are forty-six inequivalent O sites. In the first O site, O is bonded to two Ca and two Cu atoms to form OCa2Cu2 tetrahedra that share a cornercorner with one OCa3Cu2 square pyramid, a cornercorner with one OCa2Cu2 tetrahedra, corners with two equivalent OCa3Cu2 trigonal bipyramids, and an edgeedge with one OCa3Cu2 square pyramid. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Cu atoms. In the third O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the fifth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 square pyramids. In the sixth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 trigonal bipyramids that share corners with four OCa3Cu2 square pyramids, a cornercorner with one OCa2Cu2 tetrahedra, an edgeedge with one OCa3Cu2 square pyramid, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the seventh O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the eighth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the ninth O site, O is bonded in a 4-coordinate geometry to two Ca and two Cu atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to two Ca and two Cu atoms. In the eleventh O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to three Ca and two Cu atoms. In the thirteenth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the fourteenth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 trigonal bipyramids that share a cornercorner with one OCa3Cu2 square pyramid, corners with two equivalent OCa2Cu2 tetrahedra, and edges with two OCa3Cu2 square pyramids. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the sixteenth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 trigonal bipyramids. In the seventeenth O site, O is bonded to three Ca and two Cu atoms to form OCa3Cu2 square pyramids that share corners with three OCa3Cu2 trigonal bipyramids, edges with two OCa3Cu2 square pyramids, an edgeedge with one OCa2Cu2 tetrahedra, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the eighteenth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the nineteenth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with four OCa3Cu2 square pyramids, corners with two equivalent OCa2Cu2 tetrahedra, and edges with three OCa3Cu2 square pyramids. In the twentieth O site, O is bonded to two Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa2Cu2 tetrahedra. In the twenty-first O site, O is bonded to two Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa2Cu2 tetrahedra. In the twenty-second O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-third O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-fourth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the twenty-fifth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-sixth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share a cornercorner with one OCa3Cu2 square pyramid, a cornercorner with one OCa3Cu2 trigonal bipyramid, an edgeedge with one OCa3Cu2 square pyramid, an edgeedge with one OCa2Cu2 tetrahedra, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the twenty-seventh O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with three OCa3Cu2 square pyramids, an edgeedge with one OCa3Cu2 square pyramid, an edgeedge with one OCa2Cu2 tetrahedra, and edges with two OCa3Cu2 trigonal bipyramids. In the twenty-eighth O site, O is bonded to three Ca and two Cu atoms to form OCa3Cu2 square pyramids that share corners with three OCa3Cu2 square pyramids, corners with two OCa2Cu2 tetrahedra, corners with two equivalent OCa3Cu2 trigonal bipyramids, and edges with three OCa3Cu2 square pyramids. In the twenty-ninth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 trigonal bipyramids. In the thirtieth O site, O is bonded in a 4-coordinate geometry to three Ca and two Cu atoms. In the thirty-first O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with four OCa3Cu2 square pyramids, edges with two OCa3Cu2 square pyramids,

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ti11O26 by Materials Project

Ba4Ti11O26 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 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–3.27 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.64–3.31 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.29 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.23 Å. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–18°. There are a spread of Ti–O bond distances ranging from 1.74–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of Ti–O bond distances ranging from 1.79–2.28 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of Ti–O bond distances ranging from 1.80–2.29 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–25°. There are a spread of Ti–O bond distances ranging from 1.85–2.20 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–22°. There are a spread of Ti–O bond distances ranging from 1.71–2.23 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–22°. There are a spread of Ti–O bond distances ranging from 1.84–2.15 Å. In the ninth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.73–2.31 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.21 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to four Ba2+ and one Ti4+ atom. In the second O2- site, O2- is bonded in a linear geometry to four Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a water-like geometry to two Ba2+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a water-like geometry to two Ba2+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+ and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. The Mn–O bond length is 1.95 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.19 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.26 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There is one shorter (1.98 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.26 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.18 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.01 Å. There are a spread of Mn–F bond distances ranging from 2.12–2.24 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.00 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.23 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.27 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.27 Å. In the tenth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There is one shorter (1.97 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.25 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. The Mn–O bond length is 1.89 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There is one shorter (1.90 Å) and one longer (1.91 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.28 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.15 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. There are four inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.03 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.03 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.02 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.24 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.29 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–51°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geome

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. There are four inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.01 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.03 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.01 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.02 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.24 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.27 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–48°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There is three shorter (1.53 Å) and one longer (1.61 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There is three shorter (1.53 Å) and one longer (1.63 Å) P–O bond length. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a d

36 MATERIALS SCIENCE↗

Materials Data on Zr6Nb2O17 by Materials Project

Zr6Nb2O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.71 Å. In the second Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.68 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids, corners with two equivalent NbO7 pentagonal bipyramids, edges with two ZrO7 pentagonal bipyramids, and edges with two equivalent NbO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.06–2.27 Å. In the fourth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one NbO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one NbO7 pentagonal bipyramid, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.28 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one NbO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one NbO7 pentagonal bipyramid, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.28 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.36 Å. In the seventh Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.50 Å. In the eighth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.48 Å. In the ninth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.36 Å. In the tenth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two NbO7 pentagonal bipyramids, corners with three ZrO7 pentagonal bipyramids, edges with two NbO7 pentagonal bipyramids, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.06–2.29 Å. In the eleventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two NbO7 pentagonal bipyramids, corners with three ZrO7 pentagonal bipyramids, edges with two NbO7 pentagonal bipyramids, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.27 Å. In the twelfth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids, corners with two equivalent NbO7 pentagonal bipyramids, edges with two ZrO7 pentagonal bipyramids, and edges with two equivalent NbO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.06–2.28 Å. There are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to seven O2- atoms to form distorted NbO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids and edges with four ZrO7 pentagonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.98–2.22 Å. In the second Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nb–O bond distances ranging from 1.91–2.22 Å. In the third Nb5+ site, Nb5+ is bonded to seven O2- atoms to form distorted NbO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids and edges with two ZrO7 pentagonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.91–2.22 Å. In the fourth Nb5+ site, Nb5+ is bonded to seven O2- atoms to form distorted NbO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids and edges with four ZrO7 pentagonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.98–2.22 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the eighth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the eleventh O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the twelfth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Zr4+ and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the sixteenth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the nineteenth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twentieth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Zr4+ and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the twenty-seventh O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the thirtieth O2- site, O2- is bonded in a trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CeZr9O20 by Materials Project

CeZr9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.22–2.48 Å. There are nine inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.49 Å. In the second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.48 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.48 Å. In the fourth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.49 Å. In the fifth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.50 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.47 Å. In the seventh Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.47 Å. In the eighth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.47 Å. In the ninth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.50 Å. There are twenty 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 in a 4-coordinate geometry to four Zr4+ atoms. In the third O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCeZr3 tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with ten OCeZr3 tetrahedra and edges with four OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with ten OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the ninth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCeZr3 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with ten OZr4 tetrahedra and edges with five OCeZr3 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with eleven OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with thirteen OZr4 tetrahedra and edges with five OCeZr3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the fifteenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with eleven OZr4 tetrahedra and edges with six OCeZr3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCeZr3 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the nineteenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with nine OZr4 tetrahedra and edges with five OCeZr3 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn10Cr6O32 by Materials Project

Li7Cr6Mn10O32 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CrO6 octahedra and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CrO6 octahedra and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six CrO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six CrO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. There are six inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are four shorter (2.01 Å) and two longer (2.02 Å) Cr–O bond lengths. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Cr–O bond lengths. In the fifth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the sixth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. There are ten inequivalent Mn+2.10+ sites. In the first Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There is two shorter (1.94 Å) and four longer (1.96 Å) Mn–O bond length. In the second Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the third Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fourth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the fifth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the sixth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the seventh Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the eighth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the ninth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the tenth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Mn+2.10+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Mn+2.10+ atoms. In the third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr tetrahedra that share corners with eight OLiMnCr2 trigonal pyramids, an edgeedge with one OLiMn2Cr tetrahedra, and edges with two OLiMn2Cr trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with seven OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with seven OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn2Cr trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+2.10+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMn2Cr trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with five OLiMn2Cr tetrahedra and corners with seven OLiMnCr2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with nine OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn12Cu3O32 by Materials Project

Li9Mn12Cu3O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–68°. There is three shorter (1.98 Å) and one longer (2.01 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.11 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. There are twelve inequivalent Mn+4.08+ sites. In the first Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the second Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. In the third Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the fourth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the fifth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the sixth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. In the seventh Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the eighth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the ninth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.97 Å. In the tenth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. In the eleventh Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the twelfth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.97 Å. There are three inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Cu–O bond distances ranging from 1.92–2.07 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Cu–O bond distances ranging from 1.91–2.06 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Cu–O bond distances ranging from 1.92–2.06 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn2Cu trigonal pyramids and edges with two OLi2Mn2 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn+4.08+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with seven OMn3Cu trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with ten OMn3Cu trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with nine OLi2Mn2 trigonal pyramids, and edges with two OLiMn2Cu trigonal pyramids. In the sixth O2- site, O2- is bonded to three Mn+4.08+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with eight OLiMn3 trigonal pyramids and edges with two OLiMn2Cu trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with seven OLiMn3 trigonal pyramids and edges with three OMn3Cu trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with nine OLi2Mn2 trigonal pyramids, and edges with three OMn3Cu trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with seven OLiMn2Cu trigonal pyramids and edges with two OLi2Mn2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded to three Mn+4.08+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with seven OLiMn3 trigonal pyramids and edges with three OLiMn2Cu trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with eight OLiMn2Cu trigonal pyramids and edges with three OMn3Cu trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn+4.08+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn2Cu trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLiMn2Cu trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn+4.08+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn+4.08+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with seven OMn3Cu trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn+4.08+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with six OMn3Cu trigonal pyramids and edges with two OLi2Mn2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to three Mn+4.08+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with eight OLiMn2Cu trigonal pyramids and edges with two OLi2Mn2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bon

36 MATERIALS SCIENCE↗