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Materials Data on Li4Mn3Nb2Co3O16 by Materials Project

Li4Nb2Mn3Co3O16 is Hausmannite-derived structured and 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 to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four CoO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 1.84–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two CoO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Li–O bond distances ranging from 1.84–1.99 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four MnO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Nb–O bond distances ranging from 1.93–2.16 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Nb–O bond distances ranging from 1.93–2.29 Å. There are three inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–O bond distances ranging from 1.95–2.33 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. There are three inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Co–O bond distances ranging from 1.90–2.18 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Co–O bond distances ranging from 1.99–2.18 Å. In the third Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–43°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the second O2- site, O2- is bonded to one Li1+, one Nb5+, and two Co+2.33+ atoms to form distorted OLiNbCo2 tetrahedra that share corners with three OLiMnCo2 tetrahedra, corners with two OLiMnNbCo trigonal pyramids, and edges with three OLiMnNbCo trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+, one Mn+3.67+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiMnCo2 tetrahedra, an edgeedge with one OLiNbCo2 tetrahedra, and edges with two OLiMnNbCo trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+3.67+, and two Co+2.33+ atoms to form OLiMnCo2 tetrahedra that share corners with two equivalent OLiNbCo2 tetrahedra and corners with seven OLiMnCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Co+2.33+ atom to form corner-sharing OLiMn2Co tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMnNbCo trigonal pyramids that share corners with four OLiNbCo2 tetrahedra, a cornercorner with one OLiMnNbCo trigonal pyramid, an edgeedge with one OLiNbCo2 tetrahedra, and edges with two OLiMnNbCo trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMnNbCo trigonal pyramids that share corners with four OLiNbCo2 tetrahedra, a cornercorner with one OLiMnNbCo trigonal pyramid, an edgeedge with one OLiNbCo2 tetrahedra, and edges with two OLiMnNbCo trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Co+2.33+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Mn+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMnNbCo tetrahedra that share corners with two equivalent OLiMn2Co tetrahedra, a cornercorner with one OLiMnCo2 trigonal pyramid, and an edgeedge with one OLiMn2Co tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMn2Co tetrahedra that share corners with four OLiNbCo2 tetrahedra, corners with two OLiMnNbCo trigonal pyramids, and an edgeedge with one OLiMnNbCo tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Nb5+, and two Mn+3.67+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Ni2Sn3O16 by Materials Project

Li4V3Ni2Sn3O16 is Spinel-derived structured and 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 to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NiO6 octahedra, corners with four SnO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.98–2.11 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–2.03 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NiO6 octahedra, corners with four VO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. There are three inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with four SnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of V–O bond distances ranging from 1.91–2.05 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of V–O bond distances ranging from 1.89–2.12 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of V–O bond distances ranging from 1.83–2.07 Å. There are two inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Ni–O bond distances ranging from 2.13–2.23 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Ni–O bond distances ranging from 2.13–2.23 Å. There are three inequivalent Sn+3.33+ sites. In the first Sn+3.33+ site, Sn+3.33+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Sn–O bond distances ranging from 2.07–2.11 Å. In the second Sn+3.33+ site, Sn+3.33+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–O bond distances ranging from 2.05–2.14 Å. In the third Sn+3.33+ site, Sn+3.33+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Sn–O bond distances ranging from 2.05–2.14 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom. In the second O2- site, O2- is bonded to one Li1+, one Ni2+, and two Sn+3.33+ atoms to form distorted OLiNiSn2 trigonal pyramids that share corners with four OLiVSn2 tetrahedra, a cornercorner with one OLiV2Ni trigonal pyramid, and edges with two OLiVNiSn tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.67+, and two Sn+3.33+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V+4.67+, and two Sn+3.33+ atoms to form distorted OLiVSn2 tetrahedra that share corners with four OLiVNiSn tetrahedra and corners with three OLiNiSn2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two V+4.67+, and one Sn+3.33+ atom to form distorted OLiV2Sn tetrahedra that share corners with four OLiVNiSn tetrahedra and an edgeedge with one OLiV2Ni trigonal pyramid. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom to form distorted OLiVNiSn tetrahedra that share corners with three OLiVSn2 tetrahedra, corners with two OLiNiSn2 trigonal pyramids, an edgeedge with one OLiVNiSn tetrahedra, and an edgeedge with one OLiNiSn2 trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom to form distorted OLiVNiSn tetrahedra that share corners with three OLiVSn2 tetrahedra, corners with two OLiNiSn2 trigonal pyramids, an edgeedge with one OLiVNiSn tetrahedra, and an edgeedge with one OLiNiSn2 trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ni2+, and two Sn+3.33+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, two V+4.67+, and one Ni2+ atom to form distorted OLiV2Ni trigonal pyramids that share corners with five OLiVSn2 tetrahedra, a cornercorner with one OLiNiSn2 trigonal pyramid, and an edgeedge with one OLiV2Sn tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom to form distorted OLiVNiSn tetrahedra that share corners with three OLiV2Sn tetrahedra, a cornercorner with one OLiV2Ni trigonal pyramid, and an edgeedge with one OLiVNiSn tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom to form distorted OLiVNiSn tetrahedra that share corners with three OLiV2Sn tetrahedra, a cornercorner with one OLiV2Ni trigonal pyramid, and an edgeedge with one OLiVNiSn tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+4.67+, and one Sn+3.33+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V+4.67+, and one Ni2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.67+, one Ni2+, and one Sn+3.33+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2ZnFe2(PO4)3 by Materials Project

Na2Fe2Zn(PO4)3 is Esseneite-derived structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.86 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.94 Å. Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.16 Å. Zn2+ is bonded to six O2- atoms to form distorted ZnO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.13–2.24 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with four equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with four equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–58°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, one Fe+2.50+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Zn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Fe+2.50+, one Zn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Fe+2.50+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one Fe+2.50+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Fe+2.50+, one Zn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2CuF4 by Materials Project

Li2CuF4 crystallizes in the tetragonal P4/ncc space group. The structure is three-dimensional. Li1+ is bonded in a 6-coordinate geometry to six equivalent F1- atoms. There are a spread of Li–F bond distances ranging from 1.97–2.58 Å. Cu2+ is bonded in a rectangular see-saw-like geometry to four equivalent F1- atoms. All Cu–F bond lengths are 1.89 Å. F1- is bonded in a 3-coordinate geometry to three equivalent Li1+ and one Cu2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaCuRu5O11 by Materials Project

BaRu5CuO11 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, edges with six equivalent RuO6 octahedra, edges with three equivalent CuO5 trigonal bipyramids, and faces with six equivalent RuO6 octahedra. There are six shorter (2.92 Å) and six longer (2.98 Å) Ba–O bond lengths. There are two inequivalent Ru+3.80+ sites. In the first Ru+3.80+ site, Ru+3.80+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six equivalent RuO6 octahedra, corners with three equivalent CuO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are three shorter (2.02 Å) and three longer (2.04 Å) Ru–O bond lengths. In the second Ru+3.80+ site, Ru+3.80+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four equivalent RuO6 octahedra, corners with two equivalent CuO5 trigonal bipyramids, edges with two equivalent BaO12 cuboctahedra, and edges with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are four shorter (2.04 Å) and two longer (2.07 Å) Ru–O bond lengths. Cu1+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with twelve RuO6 octahedra and edges with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are three shorter (1.91 Å) and two longer (2.35 Å) Cu–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, two equivalent Ru+3.80+, and one Cu1+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ru+3.80+ and one Cu1+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ru+3.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca(SnO2)2 by Materials Project

Ca(SnO2)2 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with six SnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Ca–O bond distances ranging from 2.26–2.56 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with three CaO4 tetrahedra and edges with four equivalent SnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.41 Å. In the third Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with six SnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Ca–O bond distances ranging from 2.25–2.52 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with three SnO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with four equivalent SnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.41 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with five SnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent SnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.43 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with six SnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four SnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.41–2.47 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO4 tetrahedra, a cornercorner with one SnO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with four equivalent SnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.40 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with three equivalent SnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four SnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.37–2.47 Å. There are twelve inequivalent Sn3+ sites. In the first Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with three CaO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with two equivalent SnO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.07–2.19 Å. In the second Sn3+ site, Sn3+ is bonded in a 6-coordinate geometry to three O2- atoms. There are two shorter (2.24 Å) and one longer (2.32 Å) Sn–O bond lengths. In the third Sn3+ site, Sn3+ is bonded to four O2- atoms to form distorted SnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six SnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–74°. There are a spread of Sn–O bond distances ranging from 2.14–2.80 Å. In the fourth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with three SnO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with three CaO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.08–2.22 Å. In the fifth Sn3+ site, Sn3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.09 Å) and one longer (2.32 Å) Sn–O bond lengths. In the sixth Sn3+ site, Sn3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.13 Å) and one longer (2.59 Å) Sn–O bond lengths. In the seventh Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with five SnO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with four CaO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.10–2.15 Å. In the eighth Sn3+ site, Sn3+ is bonded to four O2- atoms to form distorted SnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six SnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–74°. There are a spread of Sn–O bond distances ranging from 2.15–2.74 Å. In the ninth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one CaO4 tetrahedra, a cornercorner with one SnO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with three CaO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.10–2.19 Å. In the tenth Sn3+ site, Sn3+ is bonded to four O2- atoms to form distorted SnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six SnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–75°. There are a spread of Sn–O bond distances ranging from 2.15–2.76 Å. In the eleventh Sn3+ site, Sn3+ is bonded in a 6-coordinate geometry to three O2- atoms. There are two shorter (2.24 Å) and one longer (2.28 Å) Sn–O bond lengths. In the twelfth Sn3+ site, Sn3+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.09 Å) and one longer (2.34 Å) Sn–O bond lengths. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Sn3+ atoms to form a mixture of distorted edge and corner-sharing OCa2Sn2 tetrahedra. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two equivalent Sn3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Sn3+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Sn3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Sn3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Sn3+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Sn3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two equivalent Sn3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Sn3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Sn3+ atoms. In the eleventh O2- site, O2- is bonded to one Ca2+ and three Sn3+ atoms to form distorted OCaSn3 trigonal pyramids that share corners with three OCaSn3 tetrahedra and edges with two equivalent OCa2Sn2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Ca2+ and two Sn3+ atoms to form distorted OCa2Sn2 tetrahedra that share corners with two OCaSn3 tetrahedra, a cornercorner with one OCaSn3 trigonal pyramid, an edgeedge with one OCa2Sn2 tetrahedra, and an edgeedge with one OCaSn3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two equivalent Sn3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two equivalent Sn3+ atoms. In the fifteenth O2- site, O2- is bonded to one Ca2+ and three Sn3+ atoms to form distorted corner-sharing OCaSn3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Ca2+ and three Sn3+ atoms to form distorted OCaSn3 tetrahedra that share corners with seven OCaSn3 tetrahedra and edges with two equivalent OCa2Sn2 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Ca2+ and two Sn3+ atoms to form a mixture of distorted edge and corner-sharing OCa2Sn2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Ca2+ and two Sn3+ atoms to form a mixture of distorted edge and corner-sharing OCa2Sn2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two equivalent Sn3+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Sn3+ atoms. In the twenty-first O2- site, O2- is bonded to one Ca2+ and three Sn3+ atoms to form distorted OCaSn3 tetrahedra that share corners with five OCaSn3 tetrahedra and edges with two equivalent OCa2Sn2 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Sn3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Sn3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Sn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.41 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.73 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.77 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.16–2.43 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.52 Å. There are two inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.10 Å. In the second V4+ site, V4+ 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 1.86–2.05 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.03–2.28 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–53°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 19–50°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–51°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–50°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the second O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share corners with two equivalent OLi3MnP trigonal bipyramids, a cornercorner with one OLi2MnP trigonal pyramid, and an edgeedge with one OLi2MnP trigonal pyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share a cornercorner with one OLi2VP trigonal pyramid and an edgeedge with one OLi3MnP trigonal bipyramid. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, 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 to three Li1+, one Mn2+, and one P5+ atom to form distorted OLi3MnP trigonal bipyramids that share corners with two equivalent OLi2VP trigonal pyramids, an edgeedge with one OLi2MnP trigonal pyramid, and a faceface with one OLi2MnP trigonal pyramid. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share a cornercorner with one OLi2VP trigonal pyramid, an edgeedge with one OLi2VP trigonal pyramid, and a faceface with one OLi3MnP trigonal bipyramid. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on SrFe12O19 by Materials Project

SrFe12O19 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–3.04 Å. There are ten inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is one shorter (1.94 Å) and three longer (1.95 Å) Fe–O bond length. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. All Fe–O bond lengths are 1.95 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are three shorter (2.03 Å) and three longer (2.04 Å) Fe–O bond lengths. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Fe–O bond distances ranging from 2.02–2.09 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 three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the tenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–61°. There are a spread of Fe–O bond distances ranging from 1.90–2.33 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the third O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 tetrahedra. In the fourth O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 tetrahedra. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+ and three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+ and three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaLiCoPO4F by Materials Project

NaLiCoPO4F crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.76 Å. There are one shorter (2.36 Å) and one longer (2.90 Å) Na–F bond lengths. There are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form distorted LiO4F trigonal bipyramids that share corners with two equivalent CoO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent CoO4F2 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.01–2.44 Å. The Li–F bond length is 2.10 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to three O2- and one F1- atom. There are one shorter (2.03 Å) and two longer (2.08 Å) Li–O bond lengths. The Li–F bond length is 1.86 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to four O2- and two equivalent F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent CoO4F2 octahedra, and edges with two equivalent LiO4F trigonal bipyramids. There are two shorter (2.05 Å) and two longer (2.17 Å) Co–O bond lengths. Both Co–F bond lengths are 2.10 Å. In the second Co2+ site, Co2+ is bonded to four O2- and two equivalent F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, corners with two equivalent LiO4F trigonal bipyramids, and edges with two equivalent CoO4F2 octahedra. There are two shorter (2.09 Å) and two longer (2.11 Å) Co–O bond lengths. Both Co–F bond lengths are 2.15 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 51–56°. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Co2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Li1+, and one P5+ atom. In the third O2- site, O2- is bonded to two equivalent Na1+, one Li1+, and one P5+ atom to form distorted ONa2LiP tetrahedra that share corners with three equivalent FNa2LiCo2 trigonal bipyramids. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Na1+, two equivalent Co2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Co2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Co2+, and one P5+ atom. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded to two equivalent Na1+, one Li1+, and two equivalent Co2+ atoms to form distorted FNa2LiCo2 trigonal bipyramids that share corners with three equivalent ONa2LiP tetrahedra and corners with two equivalent FNa2LiCo2 trigonal bipyramids. In the second F1- site, F1- is bonded in a 3-coordinate geometry to two equivalent Na1+, one Li1+, and two equivalent Co2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb9B5S21 by Materials Project

Yb9B5S21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, a cornercorner with one BS4 trigonal pyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.79–3.07 Å. In the second Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, a cornercorner with one YbS6 pentagonal pyramid, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.83–3.07 Å. In the third Yb3+ site, Yb3+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Yb–S bond distances ranging from 2.71–3.02 Å. In the fourth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share a cornercorner with one YbS7 pentagonal bipyramid, a cornercorner with one YbS6 pentagonal pyramid, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.84–3.07 Å. In the fifth Yb3+ site, Yb3+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Yb–S bond distances ranging from 2.74–2.92 Å. In the sixth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, a cornercorner with one BS4 trigonal pyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS6 pentagonal pyramid. There are a spread of Yb–S bond distances ranging from 2.77–3.01 Å. In the seventh Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.79–2.93 Å. In the eighth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, a cornercorner with one BS4 trigonal pyramid, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.74–3.17 Å. In the ninth Yb3+ site, Yb3+ is bonded to six S2- atoms to form distorted YbS6 pentagonal pyramids that share corners with three YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, an edgeedge with one BS4 tetrahedra, and a faceface with one YbS7 pentagonal bipyramid. There are a spread of Yb–S bond distances ranging from 2.78–2.96 Å. In the tenth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.80–3.08 Å. In the eleventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Yb–S bond distances ranging from 2.71–3.37 Å. In the twelfth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Yb–S bond distances ranging from 2.76–3.13 Å. In the thirteenth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share a cornercorner with one YbS7 pentagonal bipyramid, a cornercorner with one YbS6 pentagonal pyramid, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, and an edgeedge with one BS4 tetrahedra. There are a spread of Yb–S bond distances ranging from 2.71–3.00 Å. In the fourteenth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.78–3.28 Å. In the fifteenth Yb3+ site, Yb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Yb–S bond distances ranging from 2.72–3.29 Å. In the sixteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Yb–S bond distances ranging from 2.76–3.20 Å. In the seventeenth Yb3+ site, Yb3+ is bonded to seven S2- atoms to form distorted YbS7 pentagonal bipyramids that share corners with two YbS7 pentagonal bipyramids, corners with two BS4 tetrahedra, an edgeedge with one YbS7 pentagonal bipyramid, and an edgeedge with one BS4 tetrahedra. There are a spread of Yb–S bond distances ranging from 2.72–3.06 Å. In the eighteenth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Yb–S bond distances ranging from 2.76–3.35 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids and a cornercorner with one YbS6 pentagonal pyramid. There are a spread of B–S bond distances ranging from 1.86–2.01 Å. In the second B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 tetrahedra that share corners with three YbS7 pentagonal bipyramids and an edgeedge with one YbS7 pentagonal bipyramid. There are a spread of B–S bond distances ranging from 1.87–2.00 Å. In the third B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids and an edgeedge with one YbS7 pentagonal bipyramid. There are a spread of B–S bond distances ranging from 1.88–1.99 Å. In the fourth B3+ site, B3+ is bonded to four S2- atoms to form BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids, a cornercorner with one YbS6 pentagonal pyramid, and edges with two YbS7 pentagonal bipyramids. There is three shorter (1.95 Å) and one longer (1.96 Å) B–S bond length. In the fifth B3+ site, B3+ is bonded to four S2- atoms to form BS4 tetrahedra that share corners with two YbS7 pentagonal bipyramids, an edgeedge with one YbS7 pentagonal bipyramid, and an edgeedge with one YbS6 pentagonal pyramid. There is three shorter (1.94 Å) and one longer (1.96 Å) B–S bond length. In the sixth B3+ site, B3+ is bonded to four S2- atoms to form BS4 tetrahedra that share corners with three YbS7 pentagonal bipyramids and edges with two YbS7 pentagonal bipyramids. There are a spread of B–S bond distances ranging from 1.93–1.96 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three S2- atoms. All B–S bond lengths are 1.83 Å. In the eighth B3+ site, B3+ is bonded to four S2- atoms to form distorted BS4 trigonal pyramids that share corners with three YbS7 pentagonal bipyramids and corners with two SYb3S trigonal pyramids. There are a spread of B–S bond distances ranging from 1.84–2.54 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three S2- atoms. There is two shorter (1.83 Å) and one longer (1.84 Å) B–S bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to four S2- atoms. There are a spread of B–S bond distances ranging from 1.83–2.75 Å. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the second S2- site, S2- is bonded in a 1-coordinate geometry to three Yb3+ and one B3+ atom. In the third S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the fourth S2- site, S2- is bonded in a 1-coordinate geometry to four Yb3+ and one B3+ atom. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the ninth S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+ and one B3+ atom. In the tenth S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+, one B3+, and one S2- atom. The S–S bond length is 2.14 Å. In the eleventh S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+ and one B3+ atom. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to four Yb3+ and one B3+ atom. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Yb3+ and one B3+ atom. In the fourteenth S2- site, S2- is bonded in a 1-coordinate geometry to two Yb3+ and one B3+ atom. In the fifteenth S2- site, S2- is bonded in a 2-coordinate geometry to two Yb3+ and one B3+ atom. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to two Yb3+, one B3+, and one S2- atom. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to four Yb3+ and one B3+ atom. In the eighteenth S2- site, S2- is bonded in a distorted single-bond geometry to two Yb3+ and one B3+ atom. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twentieth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-first S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one S2- atom. The S–S bond length is 2.03 Å. In the twenty-second S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-third S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one S2- atom. The S–S bond length is 2.03 Å. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to two Yb3+, one B3+, and two S2- atoms. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the twenty-eighth S2- site, S2- is bonded to three Yb3+ and one S2- atom to form distorted SYb3S trigonal pyramids that share a cornercorner with one BS4 trigonal pyramid and an edgeedge with one SYb3S trigonal pyramid. The S–S bond length is 2.06 Å. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirtieth S2- site, S2- is bonded in a distorted see-saw-like geometry to three Yb3+ and one B3+ atom. In the thirty-first S2- site, S2- is bonded in a distorted see-saw-like geometry to three Yb3+ and one B3+ atom. In the thirty-second S2- site, S2- is bonded to three Yb3+ and one S2- atom to form distorted SYb3S trigonal pyramids that share a cornercorner with one BS4 trigonal pyramid, a cornercorner with one SYb3B trigonal pyramid, and an edgeedge with one SYb3S trigonal pyramid. The S–S bond length is 2.06 Å. In the thirty-third S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-fifth S2- site, S2- is bonded in a distorted see-saw-like geometry to three Yb3+ and one B3+ atom. In the thirty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to one B3+ and two S2- atoms. In the thirty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-eighth S2- site, S2- is bonded in a 4-coordinate geometry to three Yb3+ and one B3+ atom. In the thirty-ninth S2- site, S2- is bonded to three Yb3+ and one B3+ atom to form distorted corner-sharing SYb3B trigonal pyramids. In the fortieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb3+ and one B3+ atom. In the forty-first S2- sit

36 MATERIALS SCIENCE↗

Materials Data on Li4Cr2Ni3Sn(PO4)6 by Materials Project

Li4Cr2Ni3Sn(PO4)6 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 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.51 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.60 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.75 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.76 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one NiO6 octahedra, and a faceface with one SnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.05–2.38 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with six PO4 tetrahedra and faces with two NiO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.06–2.36 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.18 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.01–2.18 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.25 Å. Sn2+ is bonded to six O2- atoms to form distorted SnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one CrO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.01–2.19 Å. There are six 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 SnO6 octahedra, corners with two CrO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–49°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with two CrO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–50°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with two CrO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with two CrO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–51°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with two CrO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–48°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra, corners with two CrO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–50°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr3+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Cr3+, one Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Cr3+, one Sn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, one Cr3+, one Sn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Ni2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Cr3+, one Sn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.10 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.14 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.14 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.26 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.18 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.97–2.28 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.16 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.23 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.19 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.42 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sm6Si4S17 by Materials Project

Sm6Si4S17 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sm–S bond distances ranging from 2.85–3.26 Å. In the second Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.87–3.30 Å. In the third Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.75–3.29 Å. In the fourth Sm3+ site, Sm3+ is bonded to seven S2- atoms to form distorted SmS7 pentagonal bipyramids that share corners with two SiS4 tetrahedra and edges with two SiS4 tetrahedra. There are a spread of Sm–S bond distances ranging from 2.80–2.95 Å. In the fifth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.84–3.22 Å. In the sixth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.86–3.19 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a tetrahedral geometry to four S2- atoms. There are a spread of Si–S bond distances ranging from 2.10–2.15 Å. In the second Si4+ site, Si4+ is bonded to four S2- atoms to form SiS4 tetrahedra that share an edgeedge with one SmS7 pentagonal bipyramid. There are a spread of Si–S bond distances ranging from 2.12–2.15 Å. In the third Si4+ site, Si4+ is bonded to four S2- atoms to form SiS4 tetrahedra that share a cornercorner with one SmS7 pentagonal bipyramid and an edgeedge with one SmS7 pentagonal bipyramid. There are a spread of Si–S bond distances ranging from 2.10–2.15 Å. In the fourth Si4+ site, Si4+ is bonded to four S2- atoms to form SiS4 tetrahedra that share a cornercorner with one SmS7 pentagonal bipyramid. There are a spread of Si–S bond distances ranging from 2.10–2.16 Å. There are seventeen inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to two Sm3+ and one Si4+ atom. In the second S2- site, S2- is bonded to three Sm3+ and one Si4+ atom to form distorted SSm3Si trigonal pyramids that share corners with two SSm3Si trigonal pyramids and an edgeedge with one SSm4 tetrahedra. In the third S2- site, S2- is bonded in a 3-coordinate geometry to two Sm3+ and one Si4+ atom. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to three Sm3+ and one Si4+ atom. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to two Sm3+ and one Si4+ atom. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sm3+ and one Si4+ atom. In the seventh S2- site, S2- is bonded in a 1-coordinate geometry to four Sm3+ and one Si4+ atom. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to two Sm3+ and one Si4+ atom. In the ninth S2- site, S2- is bonded in a 4-coordinate geometry to three Sm3+ and one Si4+ atom. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sm3+ and one Si4+ atom. In the eleventh S2- site, S2- is bonded in a 1-coordinate geometry to two Sm3+ and one Si4+ atom. In the twelfth S2- site, S2- is bonded to three Sm3+ and one Si4+ atom to form distorted SSm3Si trigonal pyramids that share a cornercorner with one SSm4 tetrahedra and corners with two SSm3Si trigonal pyramids. In the thirteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sm3+ and one Si4+ atom. In the fourteenth S2- site, S2- is bonded to three Sm3+ and one Si4+ atom to form distorted SSm3Si trigonal pyramids that share corners with two SSm3Si trigonal pyramids and an edgeedge with one SSm4 tetrahedra. In the fifteenth S2- site, S2- is bonded to four Sm3+ atoms to form a mixture of distorted corner and edge-sharing SSm4 tetrahedra. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sm3+ and one Si4+ atom. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sm3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Co2Cu3Sb3O16 by Materials Project

Li4Co2Cu3Sb3O16 is Hausmannite-derived structured and 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 to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CoO6 octahedra, corners with four CuO6 octahedra, and corners with five SbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–64°. There are a spread of Li–O bond distances ranging from 2.01–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two SbO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–72°. There are a spread of Li–O bond distances ranging from 1.81–1.98 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CoO6 octahedra, corners with four SbO6 octahedra, and corners with five CuO6 octahedra. The corner-sharing octahedra tilt angles range from 49–68°. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. There are two inequivalent Co+3.50+ sites. In the first Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Co–O bond distances ranging from 1.79–2.41 Å. In the second Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four CuO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Co–O bond distances ranging from 1.76–2.28 Å. There are three inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent CuO6 octahedra, edges with two equivalent SbO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Cu–O bond distances ranging from 1.97–2.22 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent CuO6 octahedra, edges with two equivalent SbO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Cu–O bond distances ranging from 1.97–2.14 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with four SbO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cu–O bond distances ranging from 2.03–2.20 Å. There are three inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with four CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent CuO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Sb–O bond distances ranging from 1.97–2.06 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent CuO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sb–O bond distances ranging from 1.98–2.06 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom to form distorted OLiCoCuSb trigonal pyramids that share corners with five OLiCoCu2 tetrahedra, a cornercorner with one OLiCoCuSb trigonal pyramid, and edges with two OLiCuSb2 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, one Co+3.50+, and two Cu2+ atoms to form distorted OLiCoCu2 tetrahedra that share corners with two equivalent OLiCu2Sb tetrahedra, corners with two OLiCoCuSb trigonal pyramids, and an edgeedge with one OLiCu2Sb trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+, two Cu2+, and one Sb5+ atom to form distorted OLiCu2Sb trigonal pyramids that share corners with five OLiCu2Sb tetrahedra and an edgeedge with one OLiCoCu2 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two Cu2+, and one Sb5+ atom to form distorted OLiCu2Sb tetrahedra that share corners with two equivalent OLiCoCu2 tetrahedra and corners with five OLiCoCuSb trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Cu2+, and two Sb5+ atoms to form a mixture of distorted edge and corner-sharing OLiCuSb2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom to form distorted OLiCoCuSb trigonal pyramids that share corners with five OLiCoCu2 tetrahedra, a cornercorner with one OLiCoCuSb trigonal pyramid, and edges with two OLiCuSb2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co+3.50+, and two Cu2+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co+3.50+, and two Sb5+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLiCoCuSb tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLiCoCuSb tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cu2+, and two Sb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Co+3.50+, and two Sb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co+3.50+, one Cu2+, and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnFe2(PO4)3 by Materials Project

Li2MnFe2(PO4)3 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.57 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.58 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.63 Å. Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.18–2.27 Å. There are two inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.04–2.30 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–48°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There is two shorter (1.52 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 17–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Fe+2.50+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.50+ and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe+2.50+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe+2.50+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe+2.50+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Mn2+, one Fe+2.50+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Mn2+, one Fe+2.50+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Mn2+, one Fe+2.50+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Fe2Ni(PO4)3 by Materials Project

Li2Fe2Ni(PO4)3 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.54 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.58 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.63 Å. There are two inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.03–2.24 Å. Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.09–2.18 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There is two shorter (1.52 Å) and two longer (1.58 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–36°. There is two shorter (1.52 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.50+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.50+ and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe+2.50+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe3Cu(PO4)4 by Materials Project

Li4Fe3Cu(PO4)4 is Hausmannite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, an edgeedge with one CuO6 pentagonal pyramid, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–70°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CuO6 pentagonal pyramids, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. There are three inequivalent Fe+2.33+ sites. In the first Fe+2.33+ site, Fe+2.33+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Fe–O bond distances ranging from 2.09–2.28 Å. In the second Fe+2.33+ site, Fe+2.33+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the third Fe+2.33+ site, Fe+2.33+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.10–2.28 Å. Cu1+ is bonded to six O2- atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–72°. There are a spread of Cu–O bond distances ranging from 2.01–2.40 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two FeO6 octahedra, corners with two equivalent CuO6 pentagonal pyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, a cornercorner with one CuO6 pentagonal pyramid, edges with two equivalent LiO6 octahedra, and an edgeedge with one CuO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. All P–O bond lengths are 1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, a cornercorner with one CuO6 pentagonal pyramid, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There is one shorter (1.53 Å) and three longer (1.57 Å) P–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe+2.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe+2.33+, one Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe+2.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe+2.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe+2.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe+2.33+, one Cu1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe+2.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe+2.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cr3(FeO8)2 by Materials Project

Li4V3Cr3(FeO8)2 is Spinel-derived structured and 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 to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four CrO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one CrO6 octahedra, corners with two VO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Li–O bond distances ranging from 1.79–1.97 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four VO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.94–2.02 Å. There are three inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of V–O bond distances ranging from 1.88–1.96 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.88–2.07 Å. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CrO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Fe–O bond distances ranging from 1.96–2.17 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr3+, and one Fe3+ atom to form distorted OLiCr2Fe tetrahedra that share corners with two equivalent OLiVCr2 tetrahedra, corners with two OLiVCrFe trigonal pyramids, and edges with two OLiVCrFe trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, and two Cr3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V+4.33+, and two Cr3+ atoms to form distorted OLiVCr2 tetrahedra that share corners with two equivalent OLiCr2Fe tetrahedra and corners with four OLiVCrFe trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cr3+ atom to form distorted corner-sharing OLiV2Cr tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe trigonal pyramids that share corners with three OLiCr2Fe tetrahedra, a cornercorner with one OLiVCrFe trigonal pyramid, an edgeedge with one OLiCr2Fe tetrahedra, and an edgeedge with one OLiVCrFe trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe trigonal pyramids that share corners with three OLiCr2Fe tetrahedra, a cornercorner with one OLiVCrFe trigonal pyramid, an edgeedge with one OLiCr2Fe tetrahedra, and an edgeedge with one OLiVCrFe trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr3+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe tetrahedra that share corners with three OLiV2Cr tetrahedra and an edgeedge with one OLiVCrFe tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe tetrahedra that share corners with three OLiV2Cr tetrahedra and an edgeedge with one OLiVCrFe tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cr3+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V+4.33+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗