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Materials Data on Sm4CrFe33C4 by Materials Project

Sm4CrFe33C4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sm sites. In the first Sm site, Sm is bonded in a distorted bent 120 degrees geometry to eight Fe and two C atoms. There are a spread of Sm–Fe bond distances ranging from 3.06–3.40 Å. Both Sm–C bond lengths are 2.54 Å. In the second Sm site, Sm is bonded in a distorted bent 120 degrees geometry to nine Fe and two C atoms. There are a spread of Sm–Fe bond distances ranging from 3.05–3.39 Å. There are one shorter (2.54 Å) and one longer (2.55 Å) Sm–C bond lengths. In the third Sm site, Sm is bonded in a distorted bent 120 degrees geometry to nine Fe and two C atoms. There are a spread of Sm–Fe bond distances ranging from 3.05–3.40 Å. There are one shorter (2.54 Å) and one longer (2.55 Å) Sm–C bond lengths. In the fourth Sm site, Sm is bonded in a distorted bent 120 degrees geometry to one Cr, eight Fe, and two C atoms. The Sm–Cr bond length is 3.20 Å. There are a spread of Sm–Fe bond distances ranging from 3.01–3.43 Å. There are one shorter (2.54 Å) and one longer (2.55 Å) Sm–C bond lengths. Cr is bonded in a 1-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Cr–Fe bond distances ranging from 2.31–2.75 Å. There are thirty-three inequivalent Fe sites. In the first Fe site, Fe is bonded to three Sm and nine Fe atoms to form distorted FeSm3Fe9 cuboctahedra that share corners with eleven FeSm3Fe9 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Fe–Fe bond distances ranging from 2.47–2.69 Å. In the second Fe site, Fe is bonded to three Sm, one Cr, and eight Fe atoms to form distorted FeSm3CrFe8 cuboctahedra that share corners with eleven FeSm3CrFe8 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with eight FeSm2CrFe9 cuboctahedra, and faces with two CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–71°. There are a spread of Fe–Fe bond distances ranging from 2.46–2.68 Å. In the third Fe site, Fe is bonded in a single-bond geometry to one Cr, four Fe, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.56 Å. The Fe–C bond length is 1.92 Å. In the fourth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.65 Å. The Fe–C bond length is 1.91 Å. In the fifth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.65 Å. The Fe–C bond length is 1.92 Å. In the sixth Fe site, Fe is bonded in a single-bond geometry to one Cr, four Fe, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.56 Å. The Fe–C bond length is 1.92 Å. In the seventh Fe site, Fe is bonded to three Sm and nine Fe atoms to form distorted FeSm3Fe9 cuboctahedra that share corners with eleven FeSm3Fe9 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with eight FeSm2CrFe9 cuboctahedra, and faces with two CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Fe–Fe bond distances ranging from 2.47–2.69 Å. In the eighth Fe site, Fe is bonded to three Sm and nine Fe atoms to form distorted FeSm3Fe9 cuboctahedra that share corners with eleven FeSm3Fe9 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 62–69°. There are a spread of Fe–Fe bond distances ranging from 2.48–2.68 Å. In the ninth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.64 Å. The Fe–C bond length is 1.91 Å. In the tenth Fe site, Fe is bonded in a single-bond geometry to four Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.56 Å. The Fe–C bond length is 1.92 Å. In the eleventh Fe site, Fe is bonded in a single-bond geometry to four Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.56 Å. The Fe–C bond length is 1.91 Å. In the twelfth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.65 Å. The Fe–C bond length is 1.92 Å. In the thirteenth Fe site, Fe is bonded in a single-bond geometry to one Cr, four Fe, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.46 Å. The Fe–C bond length is 1.85 Å. In the fourteenth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.74 Å. The Fe–C bond length is 1.86 Å. In the fifteenth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.75 Å. The Fe–C bond length is 1.86 Å. In the sixteenth Fe site, Fe is bonded in a single-bond geometry to one Cr, four Fe, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.49 Å. The Fe–C bond length is 1.86 Å. In the seventeenth Fe site, Fe is bonded to two Sm, one Cr, and nine Fe atoms to form distorted FeSm2CrFe9 cuboctahedra that share corners with eight FeSm3Fe9 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, edges with two CSm2Fe4 octahedra, and faces with nine FeSm2CrFe9 cuboctahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Fe–Fe bond distances ranging from 2.44–2.68 Å. In the eighteenth Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, edges with two CSm2Fe4 octahedra, and faces with nine FeSm2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Fe–Fe bond distances ranging from 2.43–2.74 Å. In the nineteenth Fe site, Fe is bonded in a single-bond geometry to one Cr, four Fe, and one C atom. There are one shorter (2.43 Å) and one longer (2.45 Å) Fe–Fe bond lengths. The Fe–C bond length is 1.85 Å. In the twentieth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.75 Å. The Fe–C bond length is 1.86 Å. In the twenty-first Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, edges with two CSm2Fe4 octahedra, and faces with nine FeSm2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Fe–Fe bond distances ranging from 2.43–2.72 Å. In the twenty-second Fe site, Fe is bonded to two Sm, one Cr, and nine Fe atoms to form distorted FeSm2CrFe9 cuboctahedra that share corners with eight FeSm3CrFe8 cuboctahedra, corners with four CSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, edges with two CSm2Fe4 octahedra, and faces with nine FeSm2CrFe9 cuboctahedra. The corner-sharing octahedra tilt angles range from 22–28°. There are a spread of Fe–Fe bond distances ranging from 2.43–2.72 Å. In the twenty-third Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.75 Å. The Fe–C bond length is 1.86 Å. In the twenty-fourth Fe site, Fe is bonded in a single-bond geometry to one Cr, four Fe, and one C atom. There are one shorter (2.43 Å) and one longer (2.45 Å) Fe–Fe bond lengths. The Fe–C bond length is 1.85 Å. In the twenty-fifth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with four FeSm3Fe9 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 45°. There are one shorter (2.65 Å) and one longer (2.66 Å) Fe–Fe bond lengths. In the twenty-sixth Fe site, Fe is bonded to two Sm, one Cr, and nine Fe atoms to form distorted FeSm2CrFe9 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with four FeSm3CrFe8 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. The Fe–Fe bond length is 2.67 Å. In the twenty-seventh Fe site, Fe is bonded to two Sm, one Cr, and nine Fe atoms to form distorted FeSm2CrFe9 cuboctahedra that share corners with eight FeSm2CrFe9 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with four FeSm3Fe9 cuboctahedra, faces with eight FeSm2CrFe9 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. The Fe–Fe bond length is 2.68 Å. In the twenty-eighth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with four FeSm3CrFe8 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 45°. There are one shorter (2.64 Å) and one longer (2.65 Å) Fe–Fe bond lengths. In the twenty-ninth Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with fourteen FeSm3Fe9 cuboctahedra, edges with two FeSm3Fe9 cuboctahedra, faces with ten FeSm2Fe10 cuboctahedra, and faces with four CSm2Fe4 octahedra. Both Fe–Fe bond lengths are 2.65 Å. In the thirtieth Fe site, Fe is bonded to two Sm, one Cr, and nine Fe atoms to form distorted FeSm2CrFe9 cuboctahedra that share corners with fourteen FeSm3Fe9 cuboctahedra, edges with two FeSm3Fe9 cuboctahedra, faces with ten FeSm3CrFe8 cuboctahedra, and faces with four CSm2Fe4 octahedra. The Fe–Fe bond length is 2.69 Å. In the thirty-first Fe site, Fe is bonded in a distorted single-bond geometry to one Cr and six Fe atoms. In the thirty-second Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. The Fe–Fe bond length is 2.38 Å. In the thirty-third Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are four inequivalent C sites. In the first C site, C is bonded to two Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with ten FeSm3CrFe8 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with two FeSm2Fe10 cuboctahedra, and faces with six FeSm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 63°. In the second C site, C is bonded to two Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with ten FeSm3Fe9 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with two FeSm2CrFe9 cuboctahedra, and faces with six FeSm2CrFe9 cuboctahedra. The corner-sharing octahedra tilt angles range from 63–64°. In the third C site, C is bonded to two Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with ten FeSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with two FeSm2Fe10 cuboctahedra, and faces with six FeSm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 63°. In the fourth C site, C is bonded to two Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with ten FeSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with two FeSm2CrFe9 cuboctahedr

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first 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 2.13–2.42 Å. In the second 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 2.11–2.32 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 2.17–2.54 Å. In the fourth 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 2.12–2.51 Å. In the fifth 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 2.15–2.52 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 2.09–2.52 Å. In the seventh 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 2.15–2.51 Å. In the eighth 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 2.09–2.56 Å. In the ninth 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 2.09–2.51 Å. In the tenth 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 2.15–2.47 Å. In the eleventh 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 2.16–2.33 Å. In the twelfth 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 2.19–2.38 Å. There are four 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 an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.16 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.20 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.17 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.19 Å. There are four 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 and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.33 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 an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.35 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.29 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.35 Å. There are twelve 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 53–55°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second 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 38–60°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third 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 38–60°. There is one shorter (1.52 Å) and three 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 VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–59°. There is one shorter (1.52 Å) and three longer (1.57 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the ninth 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 53–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the tenth 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 45–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh 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 44–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth 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 53–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra, corners with two OLi2MnP trigonal pyramids, and an edgeedge with one OLi2VP trigonal pyramid. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share a cornercorner with one OLi2MnP tetrahedra, corners with two OLi2VP trigonal pyramids, and an edgeedge with one OLi2MnP trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirt

36 MATERIALS SCIENCE↗

Materials Data on Dy2(GaNi)5 by Materials Project

Dy2(NiGa)5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Dy sites. In the first Dy site, Dy is bonded in a 10-coordinate geometry to eight Ni and ten Ga atoms. There are a spread of Dy–Ni bond distances ranging from 3.03–3.11 Å. There are a spread of Dy–Ga bond distances ranging from 3.10–3.32 Å. In the second Dy site, Dy is bonded in a 11-coordinate geometry to seven Ni and eleven Ga atoms. There are a spread of Dy–Ni bond distances ranging from 3.03–3.10 Å. There are a spread of Dy–Ga bond distances ranging from 3.10–3.34 Å. In the third Dy site, Dy is bonded in a 11-coordinate geometry to eight Ni and ten Ga atoms. There are a spread of Dy–Ni bond distances ranging from 3.03–3.11 Å. There are a spread of Dy–Ga bond distances ranging from 3.08–3.29 Å. In the fourth Dy site, Dy is bonded in a 7-coordinate geometry to seven Ni and eleven Ga atoms. There are a spread of Dy–Ni bond distances ranging from 3.04–3.09 Å. There are a spread of Dy–Ga bond distances ranging from 3.11–3.33 Å. In the fifth Dy site, Dy is bonded in a distorted hexagonal planar geometry to eight Ni and ten Ga atoms. There are a spread of Dy–Ni bond distances ranging from 2.77–3.29 Å. There are a spread of Dy–Ga bond distances ranging from 3.21–3.37 Å. In the sixth Dy site, Dy is bonded in a 6-coordinate geometry to ten Ni and eight Ga atoms. There are a spread of Dy–Ni bond distances ranging from 2.79–3.33 Å. There are a spread of Dy–Ga bond distances ranging from 3.14–3.36 Å. There are fifteen inequivalent Ni sites. In the first Ni site, Ni is bonded in a 9-coordinate geometry to three Dy and six Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.45–2.51 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to three Dy and six Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.42–2.52 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to three Dy, two equivalent Ni, and four Ga atoms. Both Ni–Ni bond lengths are 2.51 Å. There are a spread of Ni–Ga bond distances ranging from 2.41–2.46 Å. In the fourth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy, two equivalent Ni, and four Ga atoms. Both Ni–Ni bond lengths are 2.51 Å. There are a spread of Ni–Ga bond distances ranging from 2.41–2.46 Å. In the fifth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy, two equivalent Ni, and four Ga atoms. Both Ni–Ni bond lengths are 2.52 Å. There are a spread of Ni–Ga bond distances ranging from 2.40–2.48 Å. In the sixth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy and six Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.45–2.50 Å. In the seventh Ni site, Ni is bonded in a 9-coordinate geometry to three Dy, two equivalent Ni, and four Ga atoms. Both Ni–Ni bond lengths are 2.51 Å. There are a spread of Ni–Ga bond distances ranging from 2.41–2.46 Å. In the eighth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy and six Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.42–2.52 Å. In the ninth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy, two equivalent Ni, and four Ga atoms. Both Ni–Ni bond lengths are 2.51 Å. There are a spread of Ni–Ga bond distances ranging from 2.41–2.50 Å. In the tenth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy, two equivalent Ni, and four Ga atoms. Both Ni–Ni bond lengths are 2.51 Å. There are a spread of Ni–Ga bond distances ranging from 2.40–2.45 Å. In the eleventh Ni site, Ni is bonded in a 9-coordinate geometry to three Dy and six Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.43–2.50 Å. In the twelfth Ni site, Ni is bonded in a 9-coordinate geometry to three Dy and six Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.45–2.51 Å. In the thirteenth Ni site, Ni is bonded to four Dy, four Ni, and four Ga atoms to form distorted NiDy4Ga4Ni4 cuboctahedra that share corners with three equivalent NiDy4Ga4Ni4 cuboctahedra, corners with three GaDy4Ga4Ni4 cuboctahedra, faces with two equivalent GaDy4Ga4Ni4 cuboctahedra, and faces with three NiDy4Ga4Ni4 cuboctahedra. There are a spread of Ni–Ga bond distances ranging from 2.53–2.64 Å. In the fourteenth Ni site, Ni is bonded to four Dy, four Ni, and four Ga atoms to form distorted NiDy4Ga4Ni4 cuboctahedra that share a cornercorner with one NiDy4Ga4Ni4 cuboctahedra, corners with five GaDy4Ga4Ni4 cuboctahedra, faces with two equivalent NiDy4Ga4Ni4 cuboctahedra, and faces with five GaDy4Ga2Ni6 cuboctahedra. There are a spread of Ni–Ga bond distances ranging from 2.52–2.65 Å. In the fifteenth Ni site, Ni is bonded to four Dy, four Ni, and four Ga atoms to form distorted NiDy4Ga4Ni4 cuboctahedra that share corners with two equivalent GaDy4Ga2Ni6 cuboctahedra, corners with four NiDy4Ga4Ni4 cuboctahedra, and faces with three NiDy4Ga4Ni4 cuboctahedra. There are a spread of Ni–Ga bond distances ranging from 2.52–2.64 Å. There are fifteen inequivalent Ga sites. In the first Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, six Ni, and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.87 Å. In the second Ga site, Ga is bonded to four Dy, six Ni, and two equivalent Ga atoms to form distorted GaDy4Ga2Ni6 cuboctahedra that share corners with two equivalent NiDy4Ga4Ni4 cuboctahedra, corners with four GaDy4Ga4Ni4 cuboctahedra, faces with two equivalent NiDy4Ga4Ni4 cuboctahedra, and faces with six GaDy4Ga2Ni6 cuboctahedra. Both Ga–Ga bond lengths are 2.77 Å. In the third Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, six Ni, and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.85 Å. In the fourth Ga site, Ga is bonded to four Dy, four Ni, and four Ga atoms to form distorted GaDy4Ga4Ni4 cuboctahedra that share corners with two equivalent NiDy4Ga4Ni4 cuboctahedra, corners with six GaDy4Ga2Ni6 cuboctahedra, faces with two equivalent NiDy4Ga4Ni4 cuboctahedra, and faces with seven GaDy4Ga2Ni6 cuboctahedra. There are two shorter (2.74 Å) and two longer (2.83 Å) Ga–Ga bond lengths. In the fifth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, four Ni, and four Ga atoms. There are two shorter (2.72 Å) and two longer (2.87 Å) Ga–Ga bond lengths. In the sixth Ga site, Ga is bonded to four Dy, four Ni, and four Ga atoms to form distorted GaDy4Ga4Ni4 cuboctahedra that share corners with two equivalent NiDy4Ga4Ni4 cuboctahedra, corners with eight GaDy4Ga2Ni6 cuboctahedra, faces with two equivalent NiDy4Ga4Ni4 cuboctahedra, and faces with seven GaDy4Ga2Ni6 cuboctahedra. There are two shorter (2.73 Å) and two longer (2.83 Å) Ga–Ga bond lengths. In the seventh Ga site, Ga is bonded to four Dy, four Ni, and four Ga atoms to form distorted GaDy4Ga4Ni4 cuboctahedra that share corners with two equivalent GaDy4Ga4Ni4 cuboctahedra, corners with four NiDy4Ga4Ni4 cuboctahedra, a faceface with one NiDy4Ga4Ni4 cuboctahedra, and faces with eight GaDy4Ga2Ni6 cuboctahedra. There are one shorter (2.61 Å) and one longer (2.63 Å) Ga–Ga bond lengths. In the eighth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, four Ni, and four Ga atoms. Both Ga–Ga bond lengths are 2.62 Å. In the ninth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, four Ni, and four Ga atoms. There are one shorter (2.62 Å) and one longer (2.63 Å) Ga–Ga bond lengths. In the tenth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, five Ni, and three Ga atoms. In the eleventh Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, four Ni, and four Ga atoms. In the twelfth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, five Ni, and three Ga atoms. In the thirteenth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, five Ni, and three Ga atoms. In the fourteenth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, six Ni, and two equivalent Ga atoms. In the fifteenth Ga site, Ga is bonded in a 12-coordinate geometry to four Dy, five Ni, and three Ga atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.36 Å. In the second 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 2.13–2.40 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 2.17–2.55 Å. In the fourth 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 2.09–2.52 Å. In the fifth 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 2.16–2.50 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 2.11–2.51 Å. In the seventh 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 2.15–2.50 Å. In the eighth 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 2.07–2.55 Å. In the ninth 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 2.11–2.53 Å. In the tenth 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 2.17–2.48 Å. In the eleventh 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 2.21–2.33 Å. In the twelfth 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 2.17–2.42 Å. There are four 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 an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.21 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.18 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.15 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.16 Å. There are four 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 and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.40 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 an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.32 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.30 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.42 Å. There are twelve 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 MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–59°. There is one shorter (1.52 Å) and three longer (1.57 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fifth 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 38–61°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth 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 46–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the seventh 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 38–60°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eighth 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 44–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the ninth 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 53–56°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the twelfth 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 53–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP tetrahedra. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth 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 OLi2MnP tetrahedra, a cornercorner with one OLi2VP trigonal pyramid, and an edgeedge with one OLi2MnP trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2MnP tetrah

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.19 Å. There are four inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.05 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.03 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.03 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.01 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.30 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.27 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.26 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–47°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–52°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–49°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V5+, 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 in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Na11(Ru4O9)4 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li3V24O58 by Materials Project

Li3V24O58 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li sites. In the first Li site, Li is bonded in a distorted square pyramidal geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.98–2.53 Å. In the second Li site, Li is bonded in a trigonal pyramidal geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.90–2.09 Å. In the third Li site, Li is bonded in a square pyramidal geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.02–2.49 Å. There are twenty-four inequivalent V sites. In the first V site, V is bonded in a 5-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.62–2.41 Å. In the second V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.64–2.38 Å. In the third V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.63–2.38 Å. In the fourth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.67–2.31 Å. In the fifth V site, V is bonded in a 5-coordinate geometry to five O atoms. There are a spread of V–O bond distances ranging from 1.62–2.01 Å. In the sixth V site, V is bonded in a 5-coordinate geometry to five O atoms. There are a spread of V–O bond distances ranging from 1.61–2.01 Å. In the seventh V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.62–2.48 Å. In the eighth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.62–2.47 Å. In the ninth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.65–2.28 Å. In the tenth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.61–2.37 Å. In the eleventh V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.68–2.23 Å. In the twelfth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.70–2.35 Å. In the thirteenth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.71–2.21 Å. In the fourteenth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.68–2.42 Å. In the fifteenth V site, V is bonded in a distorted octahedral geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.64–2.26 Å. In the sixteenth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.62–2.35 Å. In the seventeenth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.62–2.45 Å. In the eighteenth V site, V is bonded in a 5-coordinate geometry to five O atoms. There are a spread of V–O bond distances ranging from 1.60–2.01 Å. In the nineteenth V site, V is bonded in a 5-coordinate geometry to five O atoms. There are a spread of V–O bond distances ranging from 1.62–2.00 Å. In the twentieth V site, V is bonded in a 5-coordinate geometry to five O atoms. There are a spread of V–O bond distances ranging from 1.62–2.00 Å. In the twenty-first V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.64–2.41 Å. In the twenty-second V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.66–2.27 Å. In the twenty-third V site, V is bonded in a 5-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.63–2.41 Å. In the twenty-fourth V site, V is bonded in a 6-coordinate geometry to six O atoms. There are a spread of V–O bond distances ranging from 1.64–2.37 Å. There are fifty-eight inequivalent O sites. In the first O site, O is bonded in a distorted bent 120 degrees geometry to one Li and one V atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Li and one V atom. In the third O site, O is bonded in a linear geometry to two V atoms. In the fourth O site, O is bonded in a linear geometry to two V atoms. In the fifth O site, O is bonded in a distorted single-bond geometry to one Li and one V atom. In the sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Li and one V atom. In the seventh O site, O is bonded to four V atoms to form a mixture of distorted corner and edge-sharing OV4 trigonal pyramids. In the eighth O site, O is bonded to four V atoms to form a mixture of distorted corner and edge-sharing OV4 trigonal pyramids. In the ninth O site, O is bonded in a single-bond geometry to two V atoms. In the tenth O site, O is bonded in a 2-coordinate geometry to one Li and two V atoms. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the twelfth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the thirteenth O site, O is bonded in a trigonal planar geometry to three V atoms. In the fourteenth O site, O is bonded in a trigonal planar geometry to three V atoms. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to three V atoms. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the seventeenth O site, O is bonded to four V atoms to form distorted edge-sharing OV4 trigonal pyramids. In the eighteenth O site, O is bonded in a 4-coordinate geometry to four V atoms. In the nineteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the twentieth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the twenty-first O site, O is bonded in a distorted trigonal planar geometry to three V atoms. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to three V atoms. In the twenty-third O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to three V atoms. In the twenty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and one V atom. In the twenty-sixth O site, O is bonded in a single-bond geometry to one V atom. In the twenty-seventh O site, O is bonded in a bent 120 degrees geometry to one Li and one V atom. In the twenty-eighth O site, O is bonded in a bent 120 degrees geometry to one Li and one V atom. In the twenty-ninth O site, O is bonded in a linear geometry to two V atoms. In the thirtieth O site, O is bonded in a linear geometry to two V atoms. In the thirty-first O site, O is bonded in a linear geometry to two V atoms. In the thirty-second O site, O is bonded in a linear geometry to two V atoms. In the thirty-third O site, O is bonded in a single-bond geometry to one V atom. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to one Li and one V atom. In the thirty-fifth O site, O is bonded in a single-bond geometry to one V atom. In the thirty-sixth O site, O is bonded in a single-bond geometry to one V atom. In the thirty-seventh O site, O is bonded in a distorted trigonal planar geometry to three V atoms. In the thirty-eighth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the thirty-ninth O site, O is bonded in a 3-coordinate geometry to three V atoms. In the fortieth O site, O is bonded in a distorted trigonal planar geometry to three V atoms. In the forty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the forty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the forty-third O site, O is bonded in a 4-coordinate geometry to four V atoms. In the forty-fourth O site, O is bonded to four V atoms to form distorted edge-sharing OV4 trigonal pyramids. In the forty-fifth O site, O is bonded in a distorted T-shaped geometry to three V atoms. In the forty-sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the forty-seventh O site, O is bonded in a trigonal planar geometry to three V atoms. In the forty-eighth O site, O is bonded in a trigonal planar geometry to three V atoms. In the forty-ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the fiftieth O site, O is bonded in a distorted trigonal non-coplanar geometry to three V atoms. In the fifty-first O site, O is bonded in a distorted single-bond geometry to two V atoms. In the fifty-second O site, O is bonded in a 2-coordinate geometry to one Li and one V atom. In the fifty-third O site, O is bonded in a 4-coordinate geometry to four V atoms. In the fifty-fourth O site, O is bonded to four V atoms to form distorted edge-sharing OV4 trigonal pyramids. In the fifty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Li and one V atom. In the fifty-sixth O site, O is bonded in a bent 120 degrees geometry to one Li and one V atom. In the fifty-seventh O site, O is bonded in a bent 150 degrees geometry to one Li and one V atom. In the fifty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and one V atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn7Cu(PO4)12 by Materials Project

Li8Mn7Cu(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–1.99 Å. In the fourth 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 1.95–2.02 Å. In the fifth 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 1.96–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one CuO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–1.99 Å. In the eighth 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 1.93–2.02 Å. There are seven inequivalent Mn+3.71+ sites. In the first Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.02 Å. In the second Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.15 Å. In the third Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the fourth Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the fifth Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.16 Å. In the sixth Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.02 Å. In the seventh Mn+3.71+ site, Mn+3.71+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.02 Å. Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 1.92–2.13 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 12–44°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–42°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three MnO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–46°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–43°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three MnO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 16–45°. There is one shorter (1.51 Å) and three longer (1.56 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three MnO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 12–45°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–43°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 27–37°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–37°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.71+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.71+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+3.71+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+3.71+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+3.71+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+3.71+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.71+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.71+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.71+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.71+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cu2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.71+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to one Cu2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cu2+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.71+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar

36 MATERIALS SCIENCE↗

Materials Data on Ca8Al9Fe3Si12(HO13)4 by Materials Project

Ca8Fe3Al9Si12(HO13)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Ca sites. In the first Ca site, Ca is bonded in a 1-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.85 Å. In the second Ca site, Ca is bonded in a 1-coordinate geometry to ten O atoms. There are a spread of Ca–O bond distances ranging from 2.27–3.04 Å. In the third Ca site, Ca is bonded in a 1-coordinate geometry to ten O atoms. There are a spread of Ca–O bond distances ranging from 2.26–3.04 Å. In the fourth Ca site, Ca is bonded in a 1-coordinate geometry to ten O atoms. There are a spread of Ca–O bond distances ranging from 2.26–3.04 Å. In the fifth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.59 Å. In the sixth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.59 Å. In the seventh Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.59 Å. In the eighth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.59 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five SiO4 tetrahedra and edges with two equivalent AlO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.27 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five SiO4 tetrahedra and edges with two equivalent AlO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.26 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five SiO4 tetrahedra and edges with two equivalent AlO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.28 Å. There are five inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four SiO4 tetrahedra and edges with two equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.96 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four SiO4 tetrahedra and edges with two equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.95 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four SiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.99 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four SiO4 tetrahedra, edges with two FeO6 octahedra, and edges with two equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.99 Å. In the fifth Al site, Al is bonded to six O atoms to form distorted AlO6 octahedra that share corners with five SiO4 tetrahedra and edges with two equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.29 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with six AlO6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Si–O bond distances ranging from 1.65–1.68 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.64–1.69 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.64–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent AlO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent AlO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent AlO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–52°. There is one shorter (1.61 Å) and three longer (1.64 Å) Si–O bond length. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent AlO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent AlO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–54°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent AlO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. There are three inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. There are forty inequivalent O sites. In the first O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the second O site, O is bonded in a trigonal non-coplanar geometry to one Fe and two equivalent Al atoms. In the third O site, O is bonded in a trigonal non-coplanar geometry to one Fe and two equivalent Al atoms. In the fourth O site, O is bonded in a trigonal non-coplanar geometry to one Fe and two equivalent Al atoms. In the fifth O site, O is bonded in a 2-coordinate geometry to two Ca, one Al, and one Si atom. In the sixth O site, O is bonded in a 4-coordinate geometry to two Ca, one Fe, and one Si atom. In the seventh O site, O is bonded in a 4-coordinate geometry to two Ca, one Fe, and one Si atom. In the eighth O site, O is bonded in a 4-coordinate geometry to two Ca, one Fe, and one Si atom. In the ninth O site, O is bonded in a 4-coordinate geometry to one Ca, two equivalent Al, and one Si atom. In the tenth O site, O is bonded in a 4-coordinate geometry to one Ca, two equivalent Al, and one Si atom. In the eleventh O site, O is bonded in a 4-coordinate geometry to one Ca, two equivalent Al, and one Si atom. In the twelfth O site, O is bonded in a 4-coordinate geometry to one Ca, two equivalent Al, and one Si atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to one Ca, two equivalent Al, and one H atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to one Ca, two equivalent Al, and one H atom. In the fifteenth O site, O is bonded in a distorted single-bond geometry to one Ca, two equivalent Al, and one H atom. The O–H bond length is 0.98 Å. In the sixteenth O site, O is bonded in a distorted single-bond geometry to one Ca, two equivalent Al, and one H atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Ca, one Fe, and one Si atom. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Ca, one Fe, and one Si atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to two equivalent Ca, one Fe, and one Si atom. In the twenty-first O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to two equivalent Al and one Si atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to two equivalent Al and one Si atom. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to two equivalent Al and one Si atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to two equivalent Al and one Si atom. In the twenty-ninth O site, O is bonded to one Ca, two Al, and one Si atom to form a mixture of distorted corner and edge-sharing OCaAl2Si tetrahedra. In the thirtieth O site, O is bonded to one Ca, one Fe, one Al, and one Si atom to form a mixture of distorted corner and edge-sharing OCaAlFeSi tetrahedra. In the thirty-first O site, O is bonded to one Ca, one Fe, one Al, and one Si atom to form a mixture of distorted corner and edge-sharing OCaAlFeSi tetrahedra. In the thirty-second O site, O is bonded to one Ca, one Fe, one Al, and one Si atom to form distorted OCaAlFeSi tetrahedra that share corners with two OCaAl2Si tetrahedra and an edgeedge with one OCaAlFeSi tetrahedra. In the thirty-third O site, O is bonded in a 4-coordinate geometry to two Ca, one Al, and one Si atom. In the thirty-fourth O site, O is bonded in a 4-coordinate geometry to two Ca, one Al, and one Si atom. In the thirty-fifth O site, O is bonded in a 4-coordinate geometry to two Ca, one Al, and one Si atom. In the thirty-sixth O site, O is bonded in a 4-coordinate geometry to two Ca, one Al, and one Si atom. In the thirty-seventh O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fortieth O sit

36 MATERIALS SCIENCE↗

Materials Data on Sm4TiFe33N4 by Materials Project

Sm4TiFe33N4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sm sites. In the first Sm site, Sm is bonded in a distorted bent 120 degrees geometry to eight Fe and two N atoms. There are a spread of Sm–Fe bond distances ranging from 3.09–3.38 Å. There are one shorter (2.50 Å) and one longer (2.51 Å) Sm–N bond lengths. In the second Sm site, Sm is bonded in a bent 120 degrees geometry to nine Fe and two N atoms. There are a spread of Sm–Fe bond distances ranging from 3.08–3.38 Å. Both Sm–N bond lengths are 2.50 Å. In the third Sm site, Sm is bonded in a bent 120 degrees geometry to nine Fe and two N atoms. There are a spread of Sm–Fe bond distances ranging from 3.09–3.38 Å. Both Sm–N bond lengths are 2.50 Å. In the fourth Sm site, Sm is bonded in a distorted bent 120 degrees geometry to one Ti, eight Fe, and two N atoms. The Sm–Ti bond length is 3.19 Å. There are a spread of Sm–Fe bond distances ranging from 3.10–3.41 Å. Both Sm–N bond lengths are 2.51 Å. Ti is bonded in a 1-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Ti–Fe bond distances ranging from 2.37–2.78 Å. There are thirty-three inequivalent Fe sites. In the first Fe site, Fe is bonded in a single-bond geometry to six Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.75 Å. The Fe–N bond length is 1.89 Å. In the second Fe site, Fe is bonded in a single-bond geometry to one Ti, four Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.59 Å. The Fe–N bond length is 1.88 Å. In the third Fe site, Fe is bonded in a single-bond geometry to six Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.74 Å. The Fe–N bond length is 1.88 Å. In the fourth Fe site, Fe is bonded in a single-bond geometry to one Ti, four Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.61 Å. The Fe–N bond length is 1.90 Å. In the fifth Fe site, Fe is bonded to two Sm, one Ti, and nine Fe atoms to form distorted FeSm2TiFe9 cuboctahedra that share corners with seven FeSm2Fe10 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with two FeSm2Fe10 cuboctahedra, edges with two NSm2Fe4 octahedra, and faces with nine FeSm2TiFe9 cuboctahedra. The corner-sharing octahedra tilt angles range from 24–29°. There are a spread of Fe–Fe bond distances ranging from 2.46–2.78 Å. In the sixth Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with seven FeSm2Fe10 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, edges with two NSm2Fe4 octahedra, and faces with eight FeSm2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 24–28°. There are a spread of Fe–Fe bond distances ranging from 2.45–2.78 Å. In the seventh Fe site, Fe is bonded in a single-bond geometry to one Ti, four Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.57 Å. The Fe–N bond length is 1.90 Å. In the eighth Fe site, Fe is bonded in a single-bond geometry to six Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.74 Å. The Fe–N bond length is 1.88 Å. In the ninth Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, edges with two NSm2Fe4 octahedra, and faces with nine FeSm2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 24–28°. There are a spread of Fe–Fe bond distances ranging from 2.46–2.76 Å. In the tenth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.45–2.81 Å. In the eleventh Fe site, Fe is bonded in a single-bond geometry to six Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.75 Å. The Fe–N bond length is 1.89 Å. In the twelfth Fe site, Fe is bonded in a single-bond geometry to one Ti, four Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.62 Å. The Fe–N bond length is 1.88 Å. In the thirteenth Fe site, Fe is bonded in a single-bond geometry to one Ti, four Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.50–2.56 Å. The Fe–N bond length is 1.93 Å. In the fourteenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.66 Å. The Fe–N bond length is 1.92 Å. In the fifteenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.49–2.66 Å. The Fe–N bond length is 1.93 Å. In the sixteenth Fe site, Fe is bonded in a single-bond geometry to one Ti, four Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.50–2.56 Å. The Fe–N bond length is 1.92 Å. In the seventeenth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with eleven FeSm2TiFe9 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two NSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Fe–Fe bond distances ranging from 2.48–2.68 Å. In the eighteenth Fe site, Fe is bonded to three Sm, one Ti, and eight Fe atoms to form FeSm3TiFe8 cuboctahedra that share corners with ten FeSm2Fe10 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with six FeSm2TiFe9 cuboctahedra, and faces with two NSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 64–70°. There are a spread of Fe–Fe bond distances ranging from 2.49–2.55 Å. In the nineteenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.48–2.65 Å. The Fe–N bond length is 1.92 Å. In the twentieth Fe site, Fe is bonded in a single-bond geometry to four Fe and one N atom. There are one shorter (2.46 Å) and one longer (2.48 Å) Fe–Fe bond lengths. The Fe–N bond length is 1.92 Å. In the twenty-first Fe site, Fe is bonded in a single-bond geometry to four Fe and one N atom. There are one shorter (2.48 Å) and one longer (2.49 Å) Fe–Fe bond lengths. The Fe–N bond length is 1.92 Å. In the twenty-second Fe site, Fe is bonded in a single-bond geometry to five Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.66 Å. The Fe–N bond length is 1.92 Å. In the twenty-third Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with eleven FeSm2TiFe9 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with seven FeSm2TiFe9 cuboctahedra, and faces with two NSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Fe–Fe bond distances ranging from 2.47–2.69 Å. In the twenty-fourth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with ten FeSm2Fe10 cuboctahedra, corners with four NSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with seven FeSm2Fe10 cuboctahedra, and faces with two NSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Fe–Fe bond distances ranging from 2.47–2.69 Å. In the twenty-fifth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with seven FeSm2Fe10 cuboctahedra, corners with two NSm2Fe4 octahedra, edges with four FeSm2TiFe9 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two equivalent NSm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 44°. There are one shorter (2.64 Å) and one longer (2.66 Å) Fe–Fe bond lengths. In the twenty-sixth Fe site, Fe is bonded to two Sm, one Ti, and nine Fe atoms to form distorted FeSm2TiFe9 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with two NSm2Fe4 octahedra, edges with three FeSm2Fe10 cuboctahedra, faces with seven FeSm2Fe10 cuboctahedra, and faces with two equivalent NSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. The Fe–Fe bond length is 2.65 Å. In the twenty-seventh Fe site, Fe is bonded to two Sm, one Ti, and nine Fe atoms to form distorted FeSm2TiFe9 cuboctahedra that share corners with seven FeSm2TiFe9 cuboctahedra, corners with two NSm2Fe4 octahedra, edges with four FeSm2Fe10 cuboctahedra, faces with seven FeSm2TiFe9 cuboctahedra, and faces with two equivalent NSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. The Fe–Fe bond length is 2.63 Å. In the twenty-eighth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with two NSm2Fe4 octahedra, edges with three FeSm2TiFe9 cuboctahedra, faces with eight FeSm2Fe10 cuboctahedra, and faces with two equivalent NSm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 44°. Both Fe–Fe bond lengths are 2.65 Å. In the twenty-ninth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with thirteen FeSm2TiFe9 cuboctahedra, edges with two FeSm3Fe9 cuboctahedra, faces with ten FeSm2Fe10 cuboctahedra, and faces with four NSm2Fe4 octahedra. There are one shorter (2.68 Å) and one longer (2.69 Å) Fe–Fe bond lengths. In the thirtieth Fe site, Fe is bonded to two Sm, one Ti, and nine Fe atoms to form distorted FeSm2TiFe9 cuboctahedra that share corners with thirteen FeSm2TiFe9 cuboctahedra, edges with two FeSm3Fe9 cuboctahedra, faces with eight FeSm2TiFe9 cuboctahedra, and faces with four NSm2Fe4 octahedra. The Fe–Fe bond length is 2.66 Å. In the thirty-first Fe site, Fe is bonded in a distorted single-bond geometry to one Ti and six Fe atoms. In the thirty-second Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. The Fe–Fe bond length is 2.38 Å. In the thirty-third Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are four inequivalent N sites. In the first N site, N is bonded to two Sm and four Fe atoms to form NSm2Fe4 octahedra that share corners with nine FeSm2Fe10 cuboctahedra, corners with two NSm2Fe4 octahedra, edges with two FeSm2Fe10 cuboctahedra, and faces with six FeSm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 61°. In the second N site, N is bonded to two Sm and four Fe atoms to form NSm2Fe4 octahedra that share corners with nine FeSm2TiFe9 cuboctahedra, corners with two NSm2Fe4 octahedra, an edgeedge with one FeSm2TiFe9 cuboctahedra, and faces with six FeSm2TiFe9 cuboctahedra. The corner-sharing octahedral tilt angles are 61°. In the third N site, N is bonded to two Sm and four Fe atoms to form NSm2Fe4 octahedra that share corners with ten FeSm2Fe10 cuboctahedra, corners with two NSm2Fe4 octahedra, edges with two FeSm2TiFe9 cuboctahedra, and faces with six FeSm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 61°. In the fourth N site, N is bonded to two Sm and four Fe atoms to form NSm2Fe4 octahedra that share corners with eight FeSm2Fe10 cuboctahedra, corners with two NSm2Fe4 octahedra, an edgeedge with one FeSm2Fe10 cuboctahedra, and faces with six FeSm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 61°.

36 MATERIALS SCIENCE↗

Materials Data on NdTi12(Bi5O16)3 by Materials Project

NdTi12(Bi5O16)3 is Pb (Zr_0.50 Ti_0.48) O_3-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.58 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.43 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.41 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.44 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.42 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–29°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–30°. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–30°. There are a spread of Ti–O bond distances ranging from 1.84–2.11 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–29°. There are a spread of Ti–O bond distances ranging from 1.85–2.10 Å. In the ninth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.36 Å. In the tenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.36 Å. In the eleventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.36 Å. In the twelfth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.37 Å. There are fourteen inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.69 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.69 Å. In the third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.69 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.64 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.64 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.65 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.66 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–2.91 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.83 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.84 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.86 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.33–2.52 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–2.53 Å. In the fourteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–2.52 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two equivalent Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two equivalent Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. The O–Bi bond length is 2.33 Å. In the thirtieth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. The O–Bi bond length is 2.45 Å. In the thirty-second O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the fortieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the forty-first O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the forty-fourth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the forty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the forty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the forty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the forty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na11B21(ClO18)2 by Materials Project

Na11B21(O18Cl)2 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 2-coordinate geometry to five O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.25–2.85 Å. The Na–Cl bond length is 3.04 Å. In the second Na1+ site, Na1+ is bonded in a 2-coordinate geometry to six O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.25–3.08 Å. The Na–Cl bond length is 3.08 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.37–2.86 Å. The Na–Cl bond length is 2.89 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.37–2.82 Å. The Na–Cl bond length is 2.88 Å. In the fifth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to four O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.27–2.70 Å. The Na–Cl bond length is 2.63 Å. In the sixth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to four O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.33–2.68 Å. The Na–Cl bond length is 2.64 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.32–2.56 Å. The Na–Cl bond length is 3.21 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.33–2.58 Å. The Na–Cl bond length is 3.17 Å. In the ninth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to three O2- and two Cl1- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.78 Å. There are one shorter (2.73 Å) and one longer (2.86 Å) Na–Cl bond lengths. In the tenth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to four O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.31–2.53 Å. The Na–Cl bond length is 2.72 Å. In the eleventh Na1+ site, Na1+ is bonded in a 5-coordinate geometry to four O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.33–2.57 Å. The Na–Cl bond length is 2.73 Å. There are twenty-one inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. 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 1.36–1.40 Å. In the third B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. In the fourth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.48–1.50 Å. In the fifth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.52 Å. In the sixth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.51 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.39 Å) B–O bond length. 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 1.37–1.39 Å. In the ninth 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 1.36–1.41 Å. In the tenth 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 eleventh B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.53 Å. In the twelfth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.53 Å. In the thirteenth 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 1.36–1.39 Å. In the fourteenth 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 fifteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There is two shorter (1.45 Å) and two longer (1.53 Å) B–O bond length. In the sixteenth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.45–1.52 Å. In the seventeenth B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.45–1.52 Å. In the eighteenth 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 nineteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.41 Å) B–O bond length. In the twentieth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the twenty-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 1.37–1.39 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two B3+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two B3+ atoms. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two B3+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Na1+ and two B3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two B3+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two B3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two B3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and two B3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two B3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Na1+ and two B3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Na1+ and two B3+ atoms. There are two inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Na1+ atoms. In the second Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Na1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3V2P4(HO8)2 by Materials Project

Li3V2P4(HO8)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.40 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one VO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one VO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 74°. There are a spread of Li–O bond distances ranging from 1.98–2.26 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 1.98–2.17 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 1.96–2.36 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 1.98–2.32 Å. In the sixth 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 2.00–2.20 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.28 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.29 Å. In the ninth 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 1.97–2.17 Å. There are six inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a cornercorner with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.84–2.06 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.97–2.12 Å. In the third V+3.50+ site, V+3.50+ 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 1.87–2.04 Å. In the fourth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.11 Å. In the fifth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.08 Å. In the sixth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.09 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 22–49°. 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 three VO6 octahedra. The corner-sharing octahedra tilt angles range from 20–50°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–49°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 22–49°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–48°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 20–50°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 24–50°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are six inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.44 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.08 Å) and one longer (1.39 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.09 Å) and one longer (1.37 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.06 Å) and one longer (1.43 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.11 Å) and one longer (1.33 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.47 Å) H–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one P5+, and one H1+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.50+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one P5+, and one H1+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.50+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.50+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one P5+, and one H1+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.50+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.50+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.50+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.50+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one P5+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.50+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.50+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one P5+, and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.50+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one P5+, and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one P5+, and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.50+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one P5+, and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.50+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one P5+, and one H1+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a T-shaped geometry to one Li1+, one V+3.50+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one P5+, and one H1+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.50+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometr

36 MATERIALS SCIENCE↗

Materials Data on Na3Gd(PO4)2 by Materials Project

Na3Gd(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen 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 2.27–2.96 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.58 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.92 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.93 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.61 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.93 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.58 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.82 Å. In the ninth 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 2.27–3.01 Å. In the tenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.85 Å. In the eleventh Na1+ site, Na1+ is bonded in a 2-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.95 Å. In the twelfth 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 2.27–3.01 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.80 Å. In the fourteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.38–2.57 Å. In the fifteenth 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 2.28–3.01 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.61 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.83 Å. In the eighteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.37–2.58 Å. There are six inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Gd–O bond distances ranging from 2.30–2.63 Å. In the second Gd3+ site, Gd3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.29–2.92 Å. In the third Gd3+ site, Gd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Gd–O bond distances ranging from 2.29–2.64 Å. In the fourth Gd3+ site, Gd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.37–2.79 Å. In the fifth Gd3+ site, Gd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.38–2.82 Å. In the sixth Gd3+ site, Gd3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.30–2.89 Å. There are twelve 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 NaO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 56°. 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 NaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–58°. 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 NaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–58°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent NaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–59°. All P–O bond lengths are 1.56 Å. In the ninth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent NaO6 octahedra. The corner-sharing octahedra tilt angles range from 23–59°. All P–O bond lengths are 1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Gd3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Gd3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Gd3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to four Na1+, one Gd3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Gd3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Na1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+, one Gd3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Gd3+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Gd3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to four Na1+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Na1+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Gd3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on V17Fe7(PbO11)4 by Materials Project

V17Fe7(PbO11)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent V+3.47+ sites. In the first V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of V–O bond distances ranging from 1.84–2.04 Å. In the second V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with two FeO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of V–O bond distances ranging from 1.84–2.05 Å. In the third V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of V–O bond distances ranging from 1.98–2.09 Å. In the fourth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with two FeO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of V–O bond distances ranging from 2.01–2.11 Å. In the fifth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of V–O bond distances ranging from 1.84–2.08 Å. In the sixth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent FeO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of V–O bond distances ranging from 1.87–2.05 Å. In the seventh V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three VO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of V–O bond distances ranging from 1.88–2.05 Å. In the eighth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three VO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of V–O bond distances ranging from 2.02–2.09 Å. In the ninth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three VO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. In the tenth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three VO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of V–O bond distances ranging from 1.86–2.04 Å. In the eleventh V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of V–O bond distances ranging from 2.02–2.08 Å. In the twelfth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of V–O bond distances ranging from 1.86–2.05 Å. In the thirteenth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra, corners with two equivalent FeO5 trigonal bipyramids, and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of V–O bond distances ranging from 2.02–2.09 Å. In the fourteenth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of V–O bond distances ranging from 1.92–2.05 Å. In the fifteenth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of V–O bond distances ranging from 2.02–2.07 Å. In the sixteenth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra, corners with two equivalent FeO5 trigonal bipyramids, and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of V–O bond distances ranging from 2.02–2.08 Å. In the seventeenth V+3.47+ site, V+3.47+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of V–O bond distances ranging from 1.98–2.08 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra and corners with eleven VO6 octahedra. The corner-sharing octahedra tilt angles range from 36–59°. There are a spread of Fe–O bond distances ranging from 1.88–2.53 Å. In the second Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to four O2- atoms. There is three shorter (1.90 Å) and one longer (2.05 Å) Fe–O bond length. In the third Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.88–2.60 Å. In the fourth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.88–2.02 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six VO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Fe–O bond distances ranging from 2.01–2.15 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six VO6 octahedra and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Fe–O bond distances ranging from 2.04–2.12 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six VO6 octahedra and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Fe–O bond distances ranging from 2.06–2.21 Å. There are four inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.22 Å. In the second Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to three O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.55 Å. In the third Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–3.19 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–3.21 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.47+ and one Pb2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.47+ and one Pb2+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.47+ and one Pb2+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.47+ and one Pb2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.47+ and one Pb2+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.47+ and one Pb2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three V+3.47+ and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three V+3.47+ and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three V+3.47+ and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three V+3.47+ and one Fe3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two Pb2+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two Pb2+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two Pb2+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two Pb2+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two equivalent Pb2+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two equivalent Pb2+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and one Pb2+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.47+, one Fe3+, and one Pb2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and one Pb2+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.47+, two Fe3+, and two equivalent Pb2+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.47+ and one Fe3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.47+ and one Pb2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.47+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+3.47+ and one Pb2+ atom. In the thirty-second O2- sit

36 MATERIALS SCIENCE↗

Materials Data on Ta27S50 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Ce6Y26O51 by Materials Project

Ce6Y26O51 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ce sites. In the first Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with three YO6 octahedra, and edges with six YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ce–O bond distances ranging from 2.20–2.54 Å. In the second Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share corners with three YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with six YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ce–O bond distances ranging from 2.22–2.46 Å. In the third Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Ce–O bond distances ranging from 2.19–2.32 Å. In the fourth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Ce–O bond distances ranging from 2.19–2.35 Å. In the fifth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with four YO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ce–O bond distances ranging from 2.18–2.35 Å. In the sixth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ce–O bond distances ranging from 2.21–2.35 Å. There are twenty-six inequivalent Y sites. In the first Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Y–O bond distances ranging from 2.25–2.34 Å. In the second Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with four YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Y–O bond distances ranging from 2.21–2.45 Å. In the third Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two CeO6 octahedra, edges with three YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the fourth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, corners with two YO7 pentagonal bipyramids, edges with three YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.24–2.36 Å. In the fifth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, corners with two YO7 pentagonal bipyramids, edges with four YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. In the sixth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with four YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Y–O bond distances ranging from 2.25–2.38 Å. In the seventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Y–O bond distances ranging from 2.25–2.38 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with four YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Y–O bond distances ranging from 2.23–2.58 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with five YO6 octahedra, edges with three YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.37 Å. In the tenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with three YO6 octahedra, edges with two CeO6 octahedra, edges with three YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Y–O bond distances ranging from 2.24–2.50 Å. In the eleventh Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with four YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.22–2.37 Å. In the twelfth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Y–O bond distances ranging from 2.23–2.36 Å. In the thirteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Y–O bond distances ranging from 2.24–2.39 Å. In the fourteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with four YO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Y–O bond distances ranging from 2.24–2.44 Å. In the fifteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, corners with two YO7 pentagonal bipyramids, edges with three YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.21–2.35 Å. In the sixteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Y–O bond distances ranging from 2.24–2.50 Å. In the seventeenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with six YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Y–O bond distances ranging from 2.29–2.49 Å. In the eighteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Y–O bond distances ranging from 2.30–2.43 Å. In the nineteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Y–O bond distances ranging from 2.25–2.56 Å. In the twentieth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with four YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.20–2.37 Å. In the twenty-first Y si

36 MATERIALS SCIENCE↗

Materials Data on Ce10Y22O53 by Materials Project

Ce10Y22O53 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ce sites. In the first Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.26–2.41 Å. In the second Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, edges with three YO6 octahedra, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.27–2.42 Å. In the third Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Ce–O bond distances ranging from 2.20–2.55 Å. In the fourth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.24–2.48 Å. In the fifth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ce–O bond distances ranging from 2.24–2.38 Å. In the sixth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.64 Å. In the seventh Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ce–O bond distances ranging from 2.20–2.38 Å. In the eighth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.21–2.40 Å. In the ninth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Ce–O bond distances ranging from 2.19–2.37 Å. In the tenth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ce–O bond distances ranging from 2.22–2.32 Å. There are twenty-two inequivalent Y sites. In the first Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with three YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Y–O bond distances ranging from 2.27–2.53 Å. In the second Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Y–O bond distances ranging from 2.24–2.33 Å. In the third Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.24–2.40 Å. In the fourth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Y–O bond distances ranging from 2.25–2.33 Å. In the fifth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, corners with three CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Y–O bond distances ranging from 2.23–2.38 Å. In the sixth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Y–O bond distances ranging from 2.26–2.59 Å. In the seventh Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.45 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Y–O bond distances ranging from 2.29–2.47 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Y–O bond distances ranging from 2.25–2.39 Å. In the tenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, edges with three YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.23–2.37 Å. In the eleventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, corners with four YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Y–O bond distances ranging from 2.24–2.42 Å. In the twelfth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Y–O bond distances ranging from 2.28–2.46 Å. In the thirteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with four YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Y–O bond distances ranging from 2.28–2.48 Å. In the fourteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Y–O bond distances ranging from 2.28–2.44 Å. In the fifteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Y–O bond distances ranging from 2.30–2.50 Å. In the sixteenth Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, edges with two YO7 pentagonal bipyramids, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Y–O bond distances ranging from 2.24–2.33 Å. In the seventeenth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59

36 MATERIALS SCIENCE↗