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Materials Data on Li4MnCr3(PO4)4 by Materials Project

Li4Cr3Mn(PO4)4 is Hausmannite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CrO6 pentagonal pyramids, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent LiO6 octahedra, an edgeedge with one CrO6 pentagonal pyramid, and edges with two PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.16–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent CrO6 pentagonal pyramids, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two CrO6 pentagonal pyramids, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–71°. There are a spread of Li–O bond distances ranging from 2.16–2.29 Å. There are three inequivalent Cr2+ sites. In the first Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent CrO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–73°. There are a spread of Cr–O bond distances ranging from 2.08–2.39 Å. In the second Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–73°. There are a spread of Cr–O bond distances ranging from 2.06–2.42 Å. In the third Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent CrO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–74°. There are a spread of Cr–O bond distances ranging from 2.08–2.40 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CrO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–71°. There are a spread of Mn–O bond distances ranging from 2.13–2.30 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CrO6 pentagonal pyramids, edges with two equivalent LiO6 octahedra, and an edgeedge with one CrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–59°. 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 corners with two equivalent LiO6 octahedra, corners with four CrO6 pentagonal pyramids, edges with two equivalent LiO6 octahedra, and an edgeedge with one CrO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CrO6 pentagonal pyramids, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CrO6 pentagonal pyramids, edges with two equivalent LiO6 octahedra, and an edgeedge with one CrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–57°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr2+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr2+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cr2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Co3Ni(PO4)4 by Materials Project

Li4Co3Ni(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one CoO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two CoO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. There are three inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 2.08–2.21 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 2.08–2.20 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Co–O bond distances ranging from 2.08–2.21 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two CoO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co2+, one Ni2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co2+, one Ni2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe3Ni(PO4)4 by Materials Project

Li4Fe3Ni(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. There are three inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.25 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Ni–O bond distances ranging from 2.07–2.20 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two FeO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe2+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe2+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Cu(PO4)2 by Materials Project

Li5Cu(PO4)2 is beta beryllia-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There is three shorter (1.96 Å) and one longer (2.03 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.10 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.10 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CuO4 tetrahedra and corners with nine LiO4 tetrahedra. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra and corners with eleven LiO4 tetrahedra. All P–O bond lengths are 1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra and corners with eleven LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CuO4 tetrahedra and corners with nine LiO4 tetrahedra. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the second O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the third O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the sixth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the ninth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the tenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the eleventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the twelfth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the thirteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the sixteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiCu5(PO4)2 by Materials Project

LiCu5(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. There are ten inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share corners with four PO4 tetrahedra and corners with eight CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.40 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.05–2.25 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.09–2.17 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with four CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.06–2.21 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.97–2.41 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.44 Å. In the seventh Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with four CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.05–2.21 Å. In the eighth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.02–2.25 Å. In the ninth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.05–2.18 Å. In the tenth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.07–2.24 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with seven CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with seven CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There is two shorter (1.55 Å) and two 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 corners with four LiO4 tetrahedra, corners with six CuO4 tetrahedra, and corners with two CuO4 trigonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with eight CuO4 tetrahedra and corners with four CuO4 trigonal pyramids. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the ninth O2- site, O2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cu3(PO4)2 by Materials Project

Li3Cu3(PO4)2 is beta beryllia-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. There are six inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.13 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.19 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.17 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.13 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.12 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.09–2.14 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five LiO4 tetrahedra and corners with seven CuO4 tetrahedra. 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 five CuO4 tetrahedra and corners with seven LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five CuO4 tetrahedra and corners with seven LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five LiO4 tetrahedra and corners with seven CuO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the second O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the third O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form corner-sharing OLi2CuP tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Cu(PO4)2 by Materials Project

Li5Cu(PO4)2 is beta beryllia-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.16 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.11 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CuO4 tetrahedra and corners with eight LiO4 tetrahedra. 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 twelve LiO4 tetrahedra. All P–O bond lengths are 1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CuO4 tetrahedra and corners with ten LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CuO4 tetrahedra and corners with ten LiO4 tetrahedra. All P–O bond lengths are 1.56 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the second O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the third O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the sixth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the tenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the eleventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe(PO4)4 by Materials Project

Li4Mn3Fe(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.15–2.29 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.15–2.31 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.15–2.29 Å. Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.28 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. 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 FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cu3(PO4)2 by Materials Project

Li3Cu3(PO4)2 is beta beryllia-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.02–2.07 Å. There are six inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.12 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.04–2.22 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.14 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.16 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.13 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.10–2.14 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five LiO4 tetrahedra and corners with seven CuO4 tetrahedra. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five CuO4 tetrahedra and corners with seven LiO4 tetrahedra. There is three shorter (1.56 Å) and one 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 corners with five LiO4 tetrahedra and corners with seven CuO4 tetrahedra. There is three shorter (1.56 Å) and one 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 five CuO4 tetrahedra and corners with seven LiO4 tetrahedra. There is two shorter (1.56 Å) and two longer (1.57 Å) P–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the second O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the sixth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the seventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted OLi2CuP tetrahedra that share corners with nine OLiCu2P tetrahedra and a cornercorner with one OLi2CuP trigonal pyramid. In the eighth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the tenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted OLiCu2P tetrahedra that share corners with eight OLiCu2P tetrahedra and a cornercorner with one OLi2CuP trigonal pyramid. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiCu5(PO4)2 by Materials Project

LiCu5(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. There are ten inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.05–2.29 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.26 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.13 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.17 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.27 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.05–2.27 Å. In the seventh Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.05–2.16 Å. In the eighth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.09–2.14 Å. In the ninth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.10–2.14 Å. In the tenth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.04–2.17 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with eleven CuO4 tetrahedra. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with nine CuO4 tetrahedra. There is two shorter (1.56 Å) and two 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 corners with three LiO4 tetrahedra and corners with nine CuO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with eleven CuO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the sixth O2- site, O2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Cu(PO4)2 by Materials Project

Li5Cu(PO4)2 is beta beryllia-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.00 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.14 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.09 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with ten LiO4 tetrahedra. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with ten LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CuO4 tetrahedra and corners with ten LiO4 tetrahedra. There is three shorter (1.56 Å) and one 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 CuO4 tetrahedra and corners with ten LiO4 tetrahedra. All P–O bond lengths are 1.56 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the second O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the third O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the sixth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the ninth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cu1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the twelfth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the thirteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the sixteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiCu5(PO4)2 by Materials Project

LiCu5(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with five CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with seven CuO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. There are ten inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.36 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.31 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra, corners with seven CuO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 2.06–2.17 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 2.11–2.14 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.06–2.17 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.33 Å. In the seventh Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.33 Å. In the eighth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with four PO4 tetrahedra, corners with five CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.05–2.16 Å. In the ninth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.09–2.19 Å. In the tenth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, corners with six CuO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 2.07–2.19 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with ten CuO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There is two shorter (1.55 Å) and two longer (1.58 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with six CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There are a spread of P–O bond distances ranging from 1.55–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with eight CuO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with eight CuO4 tetrahedra, and corners with three CuO4 trigonal pyramids. There is two shorter (1.55 Å) and two longer (1.58 Å) P–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted OLiCu2P tetrahedra that share corners with two OLiCu2P tetrahedra and corners with two equivalent OCu3P trigonal pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted OLiCu2P tetrahedra that share corners with six OLiCu2P tetrahedra and a cornercorner with one OCu3P trigonal pyramid. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing OCu3P trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted OLiCu2P tetrahedra that share corners with six OLiCu2P tetrahedra and a cornercorner with one OCu3P trigonal pyramid. In the sixteenth O2- site, O2- is bonded to three Cu1+ and one P5+ atom to form distorted OCu3P tetrahedra that share corners with two OLiCu2P tetrahedra and a cornercorner with one OCu3P trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cu3(PO4)2 by Materials Project

Li3Cu3(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five CuO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four PO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four PO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CuO4 tetrahedra, and corners with four PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. There are six inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two equivalent CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.04–2.24 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 trigonal pyramids that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six CuO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.35 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, corners with five LiO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 2.02–2.19 Å. In the fourth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, corners with five LiO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 2.03–2.18 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.13 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two equivalent CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 2.08–2.21 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with six CuO4 tetrahedra, and corners with two equivalent CuO4 trigonal pyramids. 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 four CuO4 tetrahedra and corners with eight LiO4 tetrahedra. There is three shorter (1.56 Å) and one longer (1.58 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five CuO4 tetrahedra, corners with six LiO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five CuO4 tetrahedra, corners with six LiO4 tetrahedra, and a cornercorner with one CuO4 trigonal pyramid. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted OLi2CuP tetrahedra that share corners with eight OLiCu2P tetrahedra and corners with three OLi2CuP trigonal pyramids. In the second O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP trigonal pyramids. In the third O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted OLi2CuP tetrahedra that share corners with eight OLiCu2P tetrahedra and a cornercorner with one OLi2CuP trigonal pyramid. In the fourth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fifth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the seventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the eighth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu1+ and one P5+ atom. In the tenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted OLi2CuP tetrahedra that share corners with eight OLi3P tetrahedra and corners with three OLi2CuP trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cu1+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Cu(PO4)2 by Materials Project

Li5Cu(PO4)2 is beta beryllia-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.02–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There is one shorter (1.95 Å) and three longer (2.00 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with six LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with eight LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.02 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.17 Å. In the second Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four PO4 tetrahedra, and corners with seven LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 2.05–2.10 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CuO4 tetrahedra and corners with nine LiO4 tetrahedra. 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 a cornercorner with one CuO4 tetrahedra and corners with eleven LiO4 tetrahedra. All P–O bond lengths are 1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra and corners with eleven LiO4 tetrahedra. There is three shorter (1.56 Å) and one 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 three CuO4 tetrahedra and corners with nine LiO4 tetrahedra. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the second O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the third O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the sixth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the ninth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the tenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the eleventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form corner-sharing OLi3P tetrahedra. In the twelfth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the thirteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fifteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the sixteenth O2- site, O2- is bonded to two Li1+, one Cu1+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Ni(PO4)4 by Materials Project

Li4V3Ni(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–67°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two VO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–66°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. There are three inequivalent V2+ sites. In the first V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. In the second V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. In the third V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two VO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V2+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V2+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4VCo3(PO4)4 by Materials Project

Li4VCo3(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two CoO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of V–O bond distances ranging from 2.14–2.22 Å. There are three inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.08–2.23 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Co–O bond distances ranging from 2.08–2.20 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 2.09–2.22 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V2+, one Co2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V2+, one Co2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Co2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cu(PO4)4 by Materials Project

Li4V3Cu(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent CuO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two VO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–72°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. There are three inequivalent V+2.33+ sites. In the first V+2.33+ site, V+2.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. In the second V+2.33+ site, V+2.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of V–O bond distances ranging from 2.08–2.19 Å. In the third V+2.33+ site, V+2.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. Cu1+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–72°. There are a spread of Cu–O bond distances ranging from 2.09–2.42 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two VO6 octahedra, corners with two equivalent CuO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 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 two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+2.33+, one Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+2.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+2.33+, one Cu1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+2.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K3In(PO4)2 by Materials Project

K3In(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.73–3.27 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.24 Å. In the third K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.75–2.89 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–2.93 Å. In the fifth K1+ site, K1+ is bonded in a 8-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.82 Å. In the sixth K1+ site, K1+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.54–3.26 Å. In the seventh K1+ site, K1+ is bonded in a 7-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.85 Å. In the eighth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.64–2.80 Å. In the ninth K1+ site, K1+ is bonded in a 1-coordinate geometry to two O2- atoms. There are one shorter (2.55 Å) and one longer (3.01 Å) K–O bond lengths. In the tenth K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.87 Å. In the eleventh K1+ site, K1+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.61–3.42 Å. In the twelfth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.37 Å. There are four inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.14–2.28 Å. In the second In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.14–2.28 Å. In the third In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.14–2.28 Å. In the fourth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.14–2.30 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one InO6 octahedra and an edgeedge with one InO6 octahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one InO6 octahedra and an edgeedge with one InO6 octahedra. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one InO6 octahedra and an edgeedge with one InO6 octahedra. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one InO6 octahedra and an edgeedge with one InO6 octahedra. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three InO6 octahedra. The corner-sharing octahedra tilt angles range from 34–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three InO6 octahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three InO6 octahedra. The corner-sharing octahedra tilt angles range from 32–47°. There is one shorter (1.53 Å) and three longer (1.56 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three InO6 octahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one In3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one In3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one In3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to four K1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one In3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one In3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one In3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to three K1+, one In3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+, one In3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+, one In3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to three K1+, one In3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+, one In3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one In3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to three K1+, one In3+, and one P5+ atom.

36 MATERIALS SCIENCE↗