Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “O2”

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

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

At least 307 records · Page 17

Materials Data on LiMnV(P2O7)2 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti9O20 by Materials Project

Li4Ti9O20 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.97 Å) and one longer (2.10 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There is two shorter (1.98 Å) and two longer (2.01 Å) Li–O bond length. There are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.17 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with three OLiTi3 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, corners with two equivalent OLi2Ti2 trigonal pyramids, and edges with three OLiTi3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with three OLiTi3 tetrahedra. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti2 trigonal pyramids and edges with three OLiTi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atom

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.36 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.40 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.55 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.52 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.16–2.50 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.51 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.15–2.50 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.55 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.48 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.33 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.42 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.21 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.18 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.15 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.16 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.40 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.32 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.30 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.42 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–59°. There is one shorter (1.52 Å) and three longer (1.57 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–61°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP tetrahedra. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share a cornercorner with one OLi2MnP tetrahedra, a cornercorner with one OLi2VP trigonal pyramid, and an edgeedge with one OLi2MnP trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2MnP tetrah

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Bi13Mo6(AsO14)3 by Materials Project

Bi13As3Mo6O42 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are six inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.80 Å) and one longer (1.84 Å) Mo–O bond length. In the second Mo6+ site, Mo6+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.80 Å) and one longer (1.84 Å) Mo–O bond length. In the third Mo6+ site, Mo6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.83 Å. In the fourth Mo6+ site, Mo6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 1.78–1.83 Å. In the fifth Mo6+ site, Mo6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 1.76–1.83 Å. In the sixth Mo6+ site, Mo6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–1.85 Å. There are thirteen inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–3.05 Å. In the second Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.20–3.06 Å. In the third Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.88 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.92 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.95 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.97 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.86 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.84 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.86 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–2.81 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–3.03 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–3.04 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–3.06 Å. There are three inequivalent As3+ sites. In the first As3+ site, As3+ is bonded in a distorted T-shaped geometry to three O2- atoms. All As–O bond lengths are 1.83 Å. In the second As3+ site, As3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.81–1.84 Å. In the third As3+ site, As3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There is one shorter (1.82 Å) and two longer (1.85 Å) As–O bond length. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the seventh O2- site, O2- is bonded in a distorted tetrahedral geometry to four Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ and one As3+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ and one As3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Bi3+ and one As3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Bi3+ and one As3+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Mo6+ and two Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Bi3+ and one As3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Bi3+ and one As3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Bi3+ and one As3+ atom. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to one Mo6+ and one Bi3+ atom. In the thirtieth O2- site, O2- is bonded in a single-bond geometry to one Mo6+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and three Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and two Bi3+ atoms. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ and one As3+ atom. In the forty-second O2- site, O2- is bonded in a distorted water-like geometry to two Bi3+ and one As3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on V9O22 by Materials Project

V9O22 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent V+4.89+ sites. In the first V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three VO6 octahedra and corners with three VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of V–O bond distances ranging from 1.69–2.24 Å. In the second V+4.89+ site, V+4.89+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of V–O bond distances ranging from 1.70–1.80 Å. In the third V+4.89+ site, V+4.89+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.60–2.33 Å. In the fourth V+4.89+ site, V+4.89+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.71–2.36 Å. In the fifth V+4.89+ site, V+4.89+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.71–2.36 Å. In the sixth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three VO6 octahedra and corners with three VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of V–O bond distances ranging from 1.69–2.25 Å. In the seventh V+4.89+ site, V+4.89+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.60–2.33 Å. In the eighth V+4.89+ site, V+4.89+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–56°. There are a spread of V–O bond distances ranging from 1.71–1.79 Å. In the ninth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of V–O bond distances ranging from 1.72–2.01 Å. In the tenth V+4.89+ site, V+4.89+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.61–2.31 Å. In the eleventh V+4.89+ site, V+4.89+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of V–O bond distances ranging from 1.70–1.80 Å. In the twelfth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three VO6 octahedra and corners with three VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of V–O bond distances ranging from 1.68–2.24 Å. In the thirteenth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two VO6 octahedra, a cornercorner with one VO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of V–O bond distances ranging from 1.75–2.20 Å. In the fourteenth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two VO6 octahedra, a cornercorner with one VO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of V–O bond distances ranging from 1.75–2.20 Å. In the fifteenth V+4.89+ site, V+4.89+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.60–2.30 Å. In the sixteenth V+4.89+ site, V+4.89+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–56°. There are a spread of V–O bond distances ranging from 1.71–1.79 Å. In the seventeenth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three VO6 octahedra and corners with three VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of V–O bond distances ranging from 1.68–2.24 Å. In the eighteenth V+4.89+ site, V+4.89+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of V–O bond distances ranging from 1.72–2.02 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two V+4.89+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two V+4.89+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+4.89+ atoms. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+4.89+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.89+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+4.89+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one V+4.89+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one V+4.89+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.89+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two V+4.89+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the twentieth O2- site, O2- is bonded in a water-like geometry to two V+4.89+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V+4.89+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+4.89+ atoms. In the twenty-fourth O2- site, O2- is bonded in a water-like geometry to two V+4.89+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+4.89+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the thirtieth O2- site, O2- is bonded in a single-bond geometry to one V+4.89+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to one V+4.89+ atom. In the thirty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.89+ atoms. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.89+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the fortieth O2- site, O2- is bonded in a bent 120 degrees geometry to two V+4.89+ atoms. In the forty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V+4.89+ atoms. In the forty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+4.89+ atoms. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.89+ atoms. In the forty-fourth O2- site, O2- is bonded in a water-like geometry to two V+4.89+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.17 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.17 Å. In the third Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.14 Å. There are four inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.01 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.01 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.04 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.02 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.25 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.25 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–47°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–51°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-ninth O2-

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.15 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.04 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.01 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.03 Å. 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 six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.28 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–51°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the third Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.01 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.02 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.03 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 six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.28 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–47°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There is three shorter (1.53 Å) and one longer (1.63 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V5+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K4Li5Ti8(PO5)8 by Materials Project

K4Li5Ti8(PO5)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first 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 2.65–2.83 Å. In the second 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 2.65–2.84 Å. In the third 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 2.67–2.82 Å. In the fourth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.61–2.76 Å. There are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.17 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.19 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.16 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. There are eight inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Ti–O bond distances ranging from 1.80–2.21 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Ti–O bond distances ranging from 1.89–2.03 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Ti–O bond distances ranging from 1.90–2.03 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Ti–O bond distances ranging from 1.90–2.04 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–49°. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti+3.88+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti+3.88+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+ and two Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+ and two Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti+3.88+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti+3.88+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti+3.88+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti+3.88+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti+3.88+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti+3.88+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti+3.88+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, one Li1+, and two Ti+3.88+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Ti+3.88+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti+3.88+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one K1+ and two Ti+3.88+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Ti+3.88+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti+3.88+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ti+3.88+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.88+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti+3.88+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti+3.88+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on NaP4(W3O11)4 by Materials Project

NaP4(W3O11)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.72 Å. There are twelve inequivalent W+5.58+ sites. In the first W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–20°. There are a spread of W–O bond distances ranging from 1.81–2.10 Å. In the second W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the third W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.82–2.06 Å. In the fourth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of W–O bond distances ranging from 1.83–2.12 Å. In the fifth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of W–O bond distances ranging from 1.88–2.03 Å. In the sixth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of W–O bond distances ranging from 1.87–2.02 Å. In the seventh W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.84–2.02 Å. In the eighth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.85–2.03 Å. In the ninth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the tenth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of W–O bond distances ranging from 1.84–2.07 Å. In the eleventh W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of W–O bond distances ranging from 1.85–2.03 Å. In the twelfth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–20°. There are a spread of W–O bond distances ranging from 1.84–2.15 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 WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–29°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–26°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 8–23°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–30°. There is three shorter (1.53 Å) and one longer (1.57 Å) P–O bond length. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.58+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to one W+5.58+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.58+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted linear geometry to two W+5.58+ atoms. In the fortieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W+5.58+ atoms. In the forty-first O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the forty-second O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the forty-third O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the forty-fourth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.15–2.37 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.48 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.38 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.49 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.75 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.67 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.43 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.62 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.39 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.60 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.72 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.66 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.96–2.06 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.12 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.12 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.24 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.14 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.23 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–46°. 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 LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–48°. 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 a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–48°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–46°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 25–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–46°. There is two shorter (1.52 Å) and two longer (1.58 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 two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 24–45°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–48°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the eighth O2- site, O2- is bonded to three Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi3VP trigonal bipyramids. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-seventh O2- s

36 MATERIALS SCIENCE↗

Materials Data on Tb2TiO5 by Materials Project

Tb2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.74 Å. In the second Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.14–2.54 Å. In the third Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.73 Å. In the fourth Tb3+ site, Tb3+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Tb–O bond distances ranging from 2.27–2.48 Å. In the fifth Tb3+ site, Tb3+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share a cornercorner with one TiO6 octahedra and edges with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Tb–O bond distances ranging from 2.13–2.35 Å. In the sixth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.25–2.73 Å. In the seventh Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.29–2.74 Å. In the eighth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.17–2.48 Å. In the ninth Tb3+ site, Tb3+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TiO5 trigonal bipyramids, corners with two equivalent TiO4 trigonal pyramids, an edgeedge with one TbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Tb–O bond distances ranging from 2.32–2.47 Å. In the tenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.25–2.64 Å. In the eleventh Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.21–2.66 Å. In the twelfth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.16–2.63 Å. In the thirteenth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.22–2.43 Å. In the fourteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.17–2.59 Å. In the fifteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.96 Å. In the sixteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.19–2.63 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form TiO5 trigonal bipyramids that share a cornercorner with one TbO7 pentagonal bipyramid and a cornercorner with one TiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form distorted TiO4 trigonal pyramids that share corners with two equivalent TbO7 pentagonal bipyramids and corners with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.77–1.91 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.88–2.53 Å. In the fourth Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TbO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, a cornercorner with one TiO4 trigonal pyramid, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–76°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, an edgeedge with one TbO7 pentagonal bipyramid, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Ti–O bond distances ranging from 1.90–2.01 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.32 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TbO6 pentagonal pyramid. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.22 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti trigonal pyramids that share corners with five OTb3Ti tetrahedra and an edgeedge with one OTb4 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with three OTb3Ti tetrahedra, corners with two equivalent OTb3Ti trigonal pyramids, and an edgeedge with one OTb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Tb3+ and one Ti4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded to four Tb3+ atoms to form distorted OTb4 tetrahedra that share corners with five OTb4 tetrahedra, edges with two OTb3Ti tetrahedra, and an edgeedge with one OTb3Ti trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and an edgeedge with one OTb3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Tb3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Tb3+ and two Ti4+ atoms to form distorted OTb2Ti2 tetrahedra that share corners with three OTb3Ti tetrahedra and edges with two OTb2Ti2 tetrahedra. In the sixteenth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb3Ti tetrahedra and edges with two OTb4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the nineteenth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Tb3+ and one Ti4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Tb3+ and one Ti4+ atom. In the twenty-fourth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with four OTb2Ti2 tetrahedra and edges with two OTb3Ti tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb2Ti2 tetrahedra and edges with two OTb4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Tb3+ and one Ti4+ atom. In the twenty-eighth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with two OTb3Ti tetrahedra and edges with two OTb4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Tb3+ atoms to form distorted OTb4 tetrahedra that share corners with eight OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and edges with two OTb4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of distorted corner and edge-sharing OTb4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded to two Tb3+ and two Ti4+ atoms to form distorted OTb2Ti2 tetrahedra that share corners with three OTb3Ti tetrahedra and edges with three OTb2Ti2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Tb3+ and one Ti4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Tb3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with three OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and edges with two OTb4 tetrahedra. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on TlBi25O39 by Materials Project

TlBi25O39 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Tl3+ is bonded to four O2- atoms to form TlO4 tetrahedra that share corners with eleven BiO5 square pyramids. There are a spread of Tl–O bond distances ranging from 2.18–2.21 Å. There are twenty-five inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.61 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.66 Å. In the third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.59 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.62 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.63 Å. In the sixth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.77 Å. In the seventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.56 Å. In the eighth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.65 Å. In the ninth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.61 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.75 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.73 Å. In the twelfth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.57 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.64 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.36 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with four BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.63 Å. In the eighteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.54 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.75 Å. In the twentieth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.55 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.10–2.71 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.77 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.45 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.42 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.12 Å) and one longer (2.13 Å) Bi–O bond lengths. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form distorted corner-sharing OTlBi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Fe8H10O17 by Materials Project

Fe8H10O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with four FeO6 octahedra and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–71°. There are a spread of Fe–O bond distances ranging from 1.92–2.12 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Fe–O bond distances ranging from 1.94–2.22 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–O bond distances ranging from 1.95–2.20 Å. In the fourth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.94–2.14 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of Fe–O bond distances ranging from 1.91–2.24 Å. In the sixth Fe3+ site, Fe3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 1.97–2.42 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO6 octahedra, corners with two FeO5 trigonal bipyramids, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Fe–O bond distances ranging from 1.99–2.18 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with two FeO5 trigonal bipyramids, and edges with four FeO6 octahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Fe–O bond distances ranging from 1.95–2.17 Å. In the ninth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with four FeO6 octahedra and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–74°. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.94–2.20 Å. In the eleventh Fe3+ site, Fe3+ is bonded in a 6-coordinate geometry to one H1+ and five O2- atoms. The Fe–H bond length is 1.98 Å. There are a spread of Fe–O bond distances ranging from 1.82–2.09 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Fe–O bond distances ranging from 1.99–2.25 Å. In the thirteenth Fe3+ site, Fe3+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Fe–H bond length is 1.90 Å. There are a spread of Fe–O bond distances ranging from 1.89–2.24 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Fe–O bond distances ranging from 2.00–2.18 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO6 octahedra, corners with two FeO5 trigonal bipyramids, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.96–2.41 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with two FeO5 trigonal bipyramids, and edges with four FeO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Fe–O bond distances ranging from 1.97–2.18 Å. There are twenty inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.70 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the ninth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.06 Å) and one longer (1.53 Å) H–O bond length. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the thirteenth H1+ site, H1+ is bonded in a distorted linear geometry to two Fe3+ and two O2- atoms. There is one shorter (1.21 Å) and one longer (1.22 Å) H–O bond length. In the fourteenth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.66 Å) H–O bond length. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the seventeenth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.11 Å) and one longer (1.33 Å) H–O bond length. In the eighteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the nineteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twentieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the second O2- site, O2- is bonded to three Fe3+ and one H1+ atom to form distorted corner-sharing OFe3H trigonal pyramids. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded to three Fe3+ and one H1+ atom to form distorted corner-sharing OFe3H trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Fe3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Fe3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Fe3+ and two H1+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Fe3+ and two H1+ atoms. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to two Fe3+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Pb3O5 by Materials Project

Pb3O5 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are twenty-four inequivalent Pb+3.33+ sites. In the first Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the second Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the third Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.78 Å. In the fourth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 79–88°. There are a spread of Pb–O bond distances ranging from 2.34–2.81 Å. In the fifth Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.80 Å. In the sixth Pb+3.33+ site, Pb+3.33+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.10–2.67 Å. In the seventh Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the eighth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Pb–O bond distances ranging from 2.17–2.23 Å. In the ninth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 78–87°. There are a spread of Pb–O bond distances ranging from 2.35–2.80 Å. In the tenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Pb–O bond distances ranging from 2.17–2.22 Å. In the eleventh Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 79–88°. There are a spread of Pb–O bond distances ranging from 2.34–2.82 Å. In the twelfth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the thirteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Pb–O bond distances ranging from 2.18–2.23 Å. In the fourteenth Pb+3.33+ site, Pb+3.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.51–2.82 Å. In the fifteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the sixteenth Pb+3.33+ site, Pb+3.33+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 78–87°. There are a spread of Pb–O bond distances ranging from 2.34–2.79 Å. In the seventeenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the eighteenth Pb+3.33+ site, Pb+3.33+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.53–3.08 Å. In the nineteenth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form corner-sharing PbO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are two shorter (2.18 Å) and four longer (2.23 Å) Pb–O bond lengths. In the twentieth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form corner-sharing PbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are two shorter (2.18 Å) and four longer (2.22 Å) Pb–O bond lengths. In the twenty-first Pb+3.33+ site, Pb+3.33+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pb–O bond distances ranging from 2.10–2.66 Å. In the twenty-second Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form distorted PbO6 octahedra that share corners with two equivalent PbO7 hexagonal pyramids, corners with four PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with three PbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Pb–O bond distances ranging from 2.15–2.36 Å. In the twenty-third Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share a cornercorner with one PbO7 hexagonal pyramid, corners with five PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and edges with two equivalent PbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Pb–O bond distances ranging from 2.16–2.41 Å. In the twenty-fourth Pb+3.33+ site, Pb+3.33+ is bonded to six O2- atoms to form PbO6 octahedra that share corners with six PbO6 octahedra, edges with two equivalent PbO7 hexagonal pyramids, and an edgeedge with one PbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Pb–O bond distances ranging from 2.18–2.23 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Pb+3.33+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the seventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form corner-sharing OPb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the eleventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the sixteenth O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-second O2- site, O2- is bonded to four Pb+3.33+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to four Pb+3.33+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to three Pb+3.33+ atoms. In the thirty-second O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the thirty-seventh O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Pb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OPb4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to four Pb+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr24Ta8O43 by Materials Project

Sr24Ta8O43 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.87 Å. In the second Sr2+ site, Sr2+ is bonded to five O2- atoms to form SrO5 square pyramids that share corners with three equivalent TaO6 octahedra and corners with two equivalent TaO5 square pyramids. The corner-sharing octahedra tilt angles range from 26–37°. There are a spread of Sr–O bond distances ranging from 2.33–2.59 Å. In the third Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.63 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.91 Å. In the fifth Sr2+ site, Sr2+ is bonded to five O2- atoms to form distorted SrO5 square pyramids that share corners with three equivalent TaO6 octahedra and corners with two equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 19–33°. There are a spread of Sr–O bond distances ranging from 2.36–2.73 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.96 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.39–3.03 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.03 Å. In the ninth Sr2+ site, Sr2+ is bonded to five O2- atoms to form distorted SrO5 square pyramids that share corners with five TaO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.45–2.75 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–3.17 Å. In the eleventh Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra and corners with three equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 15–19°. There are a spread of Sr–O bond distances ranging from 2.38–2.81 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.42–3.14 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra, a cornercorner with one SrO6 pentagonal pyramid, and corners with three equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Sr–O bond distances ranging from 2.36–2.71 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.96 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.74 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–3.18 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.81 Å. In the eighteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra, a cornercorner with one SrO6 pentagonal pyramid, and corners with three equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Sr–O bond distances ranging from 2.39–2.75 Å. In the nineteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.85 Å. In the twentieth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra, a cornercorner with one SrO7 pentagonal bipyramid, a cornercorner with one SrO6 pentagonal pyramid, corners with three equivalent TaO5 trigonal bipyramids, an edgeedge with one SrO7 pentagonal bipyramid, and a faceface with one SrO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Sr–O bond distances ranging from 2.34–2.74 Å. In the twenty-first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.96 Å. In the twenty-second Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one SrO6 pentagonal pyramid, edges with two SrO6 pentagonal pyramids, edges with two equivalent TaO5 trigonal bipyramids, a faceface with one TaO6 octahedra, and a faceface with one SrO6 pentagonal pyramid. There are a spread of Sr–O bond distances ranging from 2.50–2.71 Å. In the twenty-third Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share a cornercorner with one SrO6 pentagonal pyramid, corners with three equivalent TaO5 square pyramids, corners with three equivalent TaO5 trigonal bipyramids, and an edgeedge with one SrO7 pentagonal bipyramid. There are a spread of Sr–O bond distances ranging from 2.39–2.69 Å. In the twenty-fourth Sr2+ site, Sr2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.70 Å. There are eight inequivalent Ta+4.75+ sites. In the first Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with three equivalent SrO6 pentagonal pyramids and corners with two equivalent SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.91–2.08 Å. In the second Ta+4.75+ site, Ta+4.75+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.99–2.05 Å. In the third Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with five SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.90–2.01 Å. In the fourth Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with three equivalent SrO6 pentagonal pyramids and corners with two equivalent SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.89–2.02 Å. In the fifth Ta+4.75+ site, Ta+4.75+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six SrO6 pentagonal pyramids. There are a spread of Ta–O bond distances ranging from 1.98–2.08 Å. In the sixth Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with six SrO6 pentagonal pyramids. There are a spread of Ta–O bond distances ranging from 1.89–2.01 Å. In the seventh Ta+4.75+ site, Ta+4.75+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six SrO6 pentagonal pyramids and a faceface with one SrO7 pentagonal bipyramid. There are a spread of Ta–O bond distances ranging from 1.95–2.08 Å. In the eighth Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with six SrO6 pentagonal pyramids and edges with two equivalent SrO7 pentagonal bipyramids. There are a spread of Ta–O bond distances ranging from 1.89–2.01 Å. There are forty-three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta+4.75+ atom. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Sr2+ and one Ta+4.75+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Ta+4.75+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-fifth O2- site, O2- is bonded to four Sr2+ and one Ta+4.75+ atom to form a mixture of distorted face, edge, and corner-sharing OSr4Ta square pyramids. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the thirty-first O2- site, O2- is bonded to four Sr2+ and one Ta+4.75+ atom to form a mixture of distorted edge and corner-sharing OSr4Ta square pyramids. In the thirty-second O2- site, O2- is bonded to four Sr2+ and one Ta+4.75+ atom to form a mixture of distorted face, edge, and corner-sharing OSr4Ta square pyramids. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to five Sr2+ and one Ta+4.75+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75

36 MATERIALS SCIENCE↗