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Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 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, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.31 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 2.04–2.52 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 and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.20–2.27 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 2.07–2.49 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 2.06–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.68 Å. In the seventh 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 2.19–2.38 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 2.14–2.57 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 2.24–2.33 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 2.08–2.59 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 2.04–2.60 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 2.01–2.59 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ 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 1.98–2.08 Å. In the second V+3.33+ site, V+3.33+ 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 1.99–2.10 Å. In the third V+3.33+ site, V+3.33+ 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 1.97–2.10 Å. In the fourth V+3.33+ site, V+3.33+ 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 1.97–2.08 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.10 Å. In the sixth V+3.33+ site, V+3.33+ 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 1.98–2.08 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.20 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 1.91–2.17 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, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. 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 and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–46°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 18–49°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–44°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 24–45°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eighth 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 1.52–1.58 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, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. 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 corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–45°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the eleventh 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 17–47°. There are a spread of P–O bond distances ranging from 1.52–1.59 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 MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 13–47°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one V+3.33+ and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate 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 V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, 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 Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, 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 Mn2+, and one P5+ atom. In the thirty-fourth O2- site, O

36 MATERIALS SCIENCE↗

Materials Data on Na5Mn2P2(CO7)2 by Materials Project

Na5Mn2P2(CO7)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.60 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.94 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.93 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.99 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.94 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.96 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.92 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.58 Å. There are six inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.34 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.13–2.38 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.34 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.11–2.31 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.07–2.34 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. There are six inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.28 Å) and one longer (1.33 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.32 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.33 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There is two shorter (1.55 Å) and two 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 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 sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There is three shorter (1.55 Å) and one longer (1.59 Å) P–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn+2.50+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Mn+2.50+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Mn+2.50+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Na1+, one Mn+2.50+, and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn+2.50+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn+2.50+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn+2.50+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn+2.50+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one C4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Mn+2.50+, and one C4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two equivalent Na1+, one Mn+2.50+, and one C4+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn+2.50+, and one C4+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Na1+, one Mn+2.50+, and one C4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn+2.50+, and one C4+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Na1+ and one C4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one C4+ atom. In the thirty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Si2H2O3 by Materials Project

Si2H2O3 crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of one Si2H2O3 cluster. there are twenty inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.63–1.80 Å. In the second Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–1.84 Å. In the third Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.66 Å) and one longer (1.79 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.68 Å) and one longer (2.15 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded in a water-like geometry to two O2- atoms. There is one shorter (1.66 Å) and one longer (1.71 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.63 Å) and one longer (2.04 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.92 Å. In the eighth Si4+ site, Si4+ is bonded in a water-like geometry to two O2- atoms. There is one shorter (1.67 Å) and one longer (1.87 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded in a water-like geometry to two O2- atoms. There is one shorter (1.67 Å) and one longer (1.71 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.72–2.00 Å. In the eleventh Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.65–1.95 Å. In the twelfth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.87 Å. In the thirteenth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.75 Å. In the fourteenth Si4+ site, Si4+ is bonded in a water-like geometry to two O2- atoms. There is one shorter (1.69 Å) and one longer (1.94 Å) Si–O bond length. In the fifteenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–1.87 Å. In the sixteenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.90 Å. In the seventeenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.93 Å. In the eighteenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.86 Å. In the nineteenth Si4+ site, Si4+ is bonded in a tetrahedral geometry to one H1- and three O2- atoms. The Si–H bond length is 1.47 Å. There are a spread of Si–O bond distances ranging from 1.63–1.71 Å. In the twentieth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.82 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 two O2- atoms. There is one shorter (1.01 Å) and one longer (1.70 Å) H–O bond length. In the fourth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the fifth H1- site, H1- is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.69 Å) H–O bond length. In the sixth 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 seventh 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 eighth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.05 Å. In the ninth 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 tenth 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 eleventh H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twelfth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the thirteenth H1- site, H1- is bonded in a single-bond geometry to one Si4+ atom. In the fourteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fifteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the sixteenth H1- site, H1- is bonded in a linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.51 Å) H–O bond length. In the seventeenth 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 eighteenth 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 nineteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twentieth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.03 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Si4+ and one H1- atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Si4+ and one H1- atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Si4+ and one H1- atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Si4+ and one H1- atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Si4+ and one H1- atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Si4+ and one H1- atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Si4+ and two H1- atoms. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Si4+ and one H1- atom. In the twenty-seventh O2- site, O2- is bonded in a water-like geometry to one Si4+ and one H1- atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Si4+ and one H1- 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 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 2.17–2.31 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 2.09–2.47 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 and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.21–2.30 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.51 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.64 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 2.07–2.64 Å. In the seventh 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 MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.22–2.35 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 2.12–2.47 Å. In the ninth 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 2.22–2.33 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 2.13–2.52 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 2.08–2.57 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 2.06–2.59 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 a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.05 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 1.95–2.08 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 1.99–2.10 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 1.96–2.06 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 and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.17 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 1.92–2.19 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 a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.16 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 a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.16 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 32–48°. 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 28–46°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth 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 26–47°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–44°. 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 LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–45°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth 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 25–46°. 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 MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–46°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the tenth 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 26–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 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 LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the twelfth 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 15–51°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 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 rectangular see-saw-like geometry to two Li1+, one Mn2+, 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 Mn2+, and one P5+ atom to form distorted corner-sharing OLi3MnP 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 distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. 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 3-coordinate geometry to one Li1+, one Mn2+, 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 Mn2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-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 3-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 Mn2+, 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 V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-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 V4+ 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

36 MATERIALS SCIENCE↗

Materials Data on Al2O3 by Materials Project

Al2O3 is beta indium sulfide-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.97 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–1.99 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.03 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is one shorter (1.74 Å) and three longer (1.87 Å) Al–O bond length. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.96 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.96 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is one shorter (1.77 Å) and three longer (1.85 Å) Al–O bond length. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.00 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.97 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.76–1.87 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Al–O bond distances ranging from 1.76–1.85 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.00 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.98 Å. In the nineteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There is one shorter (1.74 Å) and three longer (1.84 Å) Al–O bond length. In the twentieth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is three shorter (1.76 Å) and one longer (1.86 Å) Al–O bond length. In the twenty-first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.06 Å. In the twenty-second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Al–O bond distances ranging from 1.76–1.87 Å. In the twenty-third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.01 Å. In the twenty-fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.76–1.90 Å. In the twenty-fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–1.96 Å. In the twenty-sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Al–O bond distances ranging from 1.77–1.86 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fifth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eighth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fourteenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-third O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ho10Ti6O27 by Materials Project

Ho10Ti6O27 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.12–2.58 Å. In the second Ho3+ site, Ho3+ is bonded to seven O2- atoms to form distorted HoO7 pentagonal bipyramids that share a cornercorner with one TiO6 octahedra, corners with two equivalent TiO5 square pyramids, a cornercorner with one TiO4 tetrahedra, and edges with two equivalent TiO5 square pyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ho–O bond distances ranging from 2.20–2.55 Å. In the third Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.19–2.40 Å. In the fourth Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.15–2.47 Å. In the fifth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share a cornercorner with one TiO4 tetrahedra. There are a spread of Ho–O bond distances ranging from 2.14–2.38 Å. In the sixth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 pentagonal pyramids that share an edgeedge with one HoO8 hexagonal bipyramid and edges with two equivalent TiO6 octahedra. There are a spread of Ho–O bond distances ranging from 2.13–2.44 Å. In the seventh Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.17–2.38 Å. In the eighth Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.37 Å. In the ninth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.88 Å. In the tenth Ho3+ site, Ho3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.23–2.76 Å. In the eleventh Ho3+ site, Ho3+ is bonded to eight O2- atoms to form distorted HoO8 hexagonal bipyramids that share edges with four equivalent TiO6 octahedra, an edgeedge with one HoO6 pentagonal pyramid, and edges with two equivalent TiO5 trigonal bipyramids. There are a spread of Ho–O bond distances ranging from 2.10–2.59 Å. In the twelfth Ho3+ site, Ho3+ is bonded to eight O2- atoms to form distorted HoO8 hexagonal bipyramids that share edges with two equivalent TiO6 octahedra, edges with two equivalent TiO7 pentagonal bipyramids, and edges with two equivalent TiO5 square pyramids. There are a spread of Ho–O bond distances ranging from 2.14–2.60 Å. In the thirteenth Ho3+ site, Ho3+ is bonded to seven O2- atoms to form distorted HoO7 hexagonal pyramids that share a cornercorner with one TiO6 octahedra, corners with two equivalent TiO7 pentagonal bipyramids, and edges with three TiO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 63°. There are a spread of Ho–O bond distances ranging from 2.26–2.29 Å. In the fourteenth Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.19–2.50 Å. In the fifteenth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.31–2.37 Å. There are nine inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 square pyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one HoO7 pentagonal bipyramid, corners with two equivalent TiO5 square pyramids, an edgeedge with one HoO8 hexagonal bipyramid, and an edgeedge with one HoO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Ti–O bond distances ranging from 1.81–2.16 Å. In the second Ti4+ site, Ti4+ is bonded in a trigonal pyramidal geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–1.95 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one TiO7 pentagonal bipyramid, corners with two equivalent TiO5 trigonal bipyramids, edges with two equivalent HoO8 hexagonal bipyramids, and an edgeedge with one HoO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of Ti–O bond distances ranging from 1.80–2.22 Å. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form distorted TiO4 tetrahedra that share a cornercorner with one HoO6 octahedra and a cornercorner with one HoO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ti–O bond distances ranging from 1.79–2.03 Å. In the fifth Ti4+ site, Ti4+ is bonded to seven O2- atoms to form distorted TiO7 pentagonal bipyramids that share corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, an edgeedge with one HoO7 hexagonal pyramid, and edges with two equivalent TiO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the sixth Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with four equivalent TiO6 octahedra, a cornercorner with one TiO7 pentagonal bipyramid, and edges with two equivalent HoO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Ti–O bond distances ranging from 1.79–2.01 Å. In the seventh Ti4+ site, Ti4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–1.94 Å. In the eighth Ti4+ site, Ti4+ is bonded to seven O2- atoms to form distorted TiO7 pentagonal bipyramids that share a cornercorner with one HoO7 hexagonal pyramid, a cornercorner with one TiO6 octahedra, a cornercorner with one TiO7 pentagonal bipyramid, an edgeedge with one HoO8 hexagonal bipyramid, an edgeedge with one HoO7 hexagonal pyramid, and edges with two TiO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ti–O bond distances ranging from 1.97–2.15 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one HoO7 hexagonal pyramid, a cornercorner with one HoO7 pentagonal bipyramid, corners with two equivalent TiO7 pentagonal bipyramids, corners with two equivalent TiO5 square pyramids, and edges with two equivalent HoO8 hexagonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Ho3+ and one Ti4+ atom. In the second O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OHo3Ti tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form distorted OHo3Ti tetrahedra that share corners with four OHo4 tetrahedra and edges with three OHo3Ti tetrahedra. In the fifth O2- site, O2- is bonded to four Ho3+ atoms to form a mixture of edge and corner-sharing OHo4 tetrahedra. In the sixth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form OHo3Ti tetrahedra that share corners with eight OHo3Ti tetrahedra and edges with two equivalent OHo4 tetrahedra. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ho3+ and one Ti4+ atom. In the eighth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OHo3Ti tetrahedra. In the ninth O2- site, O2- is bonded to four Ho3+ atoms to form distorted OHo4 tetrahedra that share corners with seven OHo4 tetrahedra and edges with four OHo3Ti tetrahedra. In the tenth O2- site, O2- is bonded to two Ho3+ and two Ti4+ atoms to form OHo2Ti2 tetrahedra that share corners with eight OHo4 tetrahedra and edges with three OHoTi3 tetrahedra. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and two equivalent Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OHo3Ti tetrahedra. In the fourteenth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form OHo3Ti tetrahedra that share corners with six OHo4 tetrahedra and edges with three OHo3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Ho3+ and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ho3+ atoms. In the seventeenth O2- site, O2- is bonded to four Ho3+ atoms to form OHo4 tetrahedra that share corners with three OHo4 tetrahedra and an edgeedge with one OHo3Ti tetrahedra. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ho3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to four Ho3+ atoms to form OHo4 tetrahedra that share corners with six OHo4 tetrahedra and edges with three OHo2Ti2 tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form distorted OHo3Ti tetrahedra that share corners with nine OHo3Ti tetrahedra and edges with five OHo4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded to two Ho3+ and two equivalent Ti4+ atoms to form distorted OHo2Ti2 tetrahedra that share corners with eight OHo4 tetrahedra and edges with four OHoTi3 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form OHo3Ti tetrahedra that share corners with eight OHo4 tetrahedra and edges with four OHoTi3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two equivalent Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Ho3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Ho3+ atoms to form a mixture of edge and corner-sharing OHo4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OHo3Ti tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Ho3+ atoms to form OHo4 tetrahedra that share corners with six OHo4 tetrahedra and edges with four OHo3Ti tetrahedra. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and one Ti4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Ti4+ atom. In the thirty-second O2- site, O2- is bonded to three Ho3+ and one Ti4+ atom to form distorted OHo3Ti tetrahedra that share corners with seven OHo3Ti tetrahedra and an edgeedge with one OHo4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+ and two equivalent Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded to four Ho3+ atoms to form corner-sharing OHo4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded to one Ho3+ and three Ti4+ atoms to form a mixture of edge and corner-sharing OHoTi3 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two equivalent Ti4+

36 MATERIALS SCIENCE↗

Materials Data on Ba16Bi16O45 by Materials Project

Ba16Bi16O45 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.92–3.26 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.32 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.94–3.33 Å. In the fourth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.86–3.26 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.05–3.38 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.21 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.10–3.26 Å. In the eighth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.23 Å. There are sixteen inequivalent Bi+3.62+ sites. In the first Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the second Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.18–2.28 Å. In the third Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the fourth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the fifth Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the sixth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.28 Å. In the seventh Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are three shorter (2.25 Å) and one longer (2.26 Å) Bi–O bond lengths. In the eighth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the ninth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.28 Å. In the tenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.27 Å. In the eleventh Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the twelfth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Bi–O bond distances ranging from 2.19–2.24 Å. In the thirteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.27 Å. In the fourteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the fifteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Bi–O bond distances ranging from 2.20–2.26 Å. In the sixteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the fifteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–56°. In the eighteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the nineteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-first O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Bi+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirtieth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the thirty-first O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirty-fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the thirty-fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the thirty-sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-seventh O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°.

36 MATERIALS SCIENCE↗

Materials Data on Sm2B4O9 by Materials Project

Sm2B4O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.34–2.82 Å. In the second Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.30–2.88 Å. In the third Sm3+ site, Sm3+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–3.02 Å. In the fourth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.36–2.79 Å. In the fifth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.83 Å. In the sixth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.80 Å. In the seventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.30–2.83 Å. In the eighth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.37–2.75 Å. In the ninth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.30–2.83 Å. In the tenth Sm3+ site, Sm3+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–3.04 Å. In the eleventh Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.84 Å. In the twelfth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.34–2.87 Å. In the thirteenth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.83 Å. In the fourteenth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.80 Å. In the fifteenth Sm3+ site, Sm3+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–3.04 Å. In the sixteenth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.77 Å. In the seventeenth Sm3+ site, Sm3+ is bonded in a 1-coordinate geometry to ten O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.90 Å. In the eighteenth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.76 Å. In the nineteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.30–2.84 Å. In the twentieth Sm3+ site, Sm3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.82 Å. There are forty inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the second B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the third B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.49–1.52 Å. In the fourth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the fifth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.49–1.53 Å. In the sixth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.53 Å. In the seventh B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.40–1.59 Å. In the eighth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.43–1.54 Å. In the ninth B3+ site, B3+ is bonded to four O2- atoms to form a mixture of edge and corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the tenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.53 Å. In the eleventh B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the twelfth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the thirteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.49–1.53 Å. In the fourteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the fifteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There is two shorter (1.47 Å) and two longer (1.50 Å) B–O bond length. In the sixteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.53 Å. In the seventeenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.39–1.59 Å. In the eighteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.52 Å. In the nineteenth B3+ site, B3+ is bonded to four O2- atoms to form a mixture of edge and corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the twentieth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.40–1.59 Å. In the twenty-first B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.49–1.52 Å. In the twenty-second B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the twenty-third B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There is two shorter (1.47 Å) and two longer (1.50 Å) B–O bond length. In the twenty-fourth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the twenty-fifth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.43–1.53 Å. In the twenty-sixth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.43–1.53 Å. In the twenty-seventh B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.49 Å. In the twenty-eighth B3+ site, B3+ is bonded to four O2- atoms to form a mixture of edge and corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the twenty-ninth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the thirtieth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.43–1.53 Å. In the thirty-first B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the thirty-second B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the thirty-third B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.50 Å. In the thirty-fourth B3+ site, B3+ is bonded to four O2- atoms to form a mixture of edge and corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.43–1.51 Å. In the thirty-fifth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the thirty-sixth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.50 Å. In the thirty-seventh B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.42–1.52 Å. In the thirty-eighth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the thirty-ninth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the fortieth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.39–1.59 Å. There are ninety inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three Sm3+ and one B3+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Sm3+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Sm3+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Sm3+ and two B3+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sm3+ and two B3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Sm3+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Sm3+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Sm3+ and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Sm3+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Sm3+ and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sm3+ and two B3+ atoms. In the nineteenth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on K3Nb7O19 by Materials Project

K3Nb7O19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.84–3.21 Å. In the second K1+ site, K1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.66–2.77 Å. In the third K1+ site, K1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.83 Å. In the fourth K1+ site, K1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.78 Å. In the fifth K1+ site, K1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.82 Å. In the sixth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.23 Å. There are fourteen inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Nb–O bond distances ranging from 1.88–2.22 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Nb–O bond distances ranging from 1.89–2.20 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 6–30°. There are a spread of Nb–O bond distances ranging from 1.84–2.36 Å. In the fourth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.84–2.36 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Nb–O bond distances ranging from 1.92–2.13 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Nb–O bond distances ranging from 1.92–2.12 Å. In the seventh Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.31 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Nb–O bond distances ranging from 1.85–2.27 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Nb–O bond distances ranging from 1.86–2.33 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 7–30°. There are a spread of Nb–O bond distances ranging from 1.86–2.33 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Nb–O bond distances ranging from 1.89–2.20 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Nb–O bond distances ranging from 1.86–2.27 Å. In the thirteenth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.31 Å. In the fourteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Nb–O bond distances ranging from 1.89–2.19 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the fifth O2- site, O2- is bonded to two K1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OK2Nb2 tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded to two K1+ and two equivalent Nb5+ atoms to form a mixture of distorted edge and corner-sharing OK2Nb2 tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to two equivalent Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+ and three Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the thirtieth O2- site, O2- is bonded to two K1+ and two Nb5+ atoms to form distorted corner-sharing OK2Nb2 tetrahedra. In the thirty-first O2- site, O2- is bonded to two K1+ and two equivalent Nb5+ atoms to form a mixture of distorted edge and corner-sharing OK2Nb2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a linear geometry to two Nb5+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one K1+ and three Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and two Nb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Nb5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Nb5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a linear geometry to two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr2IrO4 by Materials Project

Sr2IrO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share a cornercorner with one OSr4O trigonal bipyramid and an edgeedge with one SrO7 pentagonal bipyramid. There are a spread of Sr–O bond distances ranging from 2.46–2.72 Å. In the second 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 2.45–2.67 Å. In the third 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 2.50–3.20 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 2.44–2.97 Å. In the fifth 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 2.41–2.85 Å. In the sixth 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 2.38–2.87 Å. In the seventh 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 2.41–2.82 Å. In the eighth 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 2.43–3.09 Å. In the ninth 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 2.41–3.07 Å. In the tenth Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one OSr4O trigonal bipyramid and an edgeedge with one SrO6 pentagonal pyramid. There are a spread of Sr–O bond distances ranging from 2.41–2.80 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.37–2.77 Å. In the twelfth 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 2.43–2.92 Å. In the thirteenth 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 2.47–2.52 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a distorted pentagonal bipyramidal geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.39–2.80 Å. In the fifteenth 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 2.32–2.88 Å. In the sixteenth 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 2.38–2.74 Å. There are eight inequivalent Ir4+ sites. In the first Ir4+ site, Ir4+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Ir–O bond distances ranging from 1.83–2.02 Å. In the second Ir4+ site, Ir4+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Ir–O bond distances ranging from 1.90–2.02 Å. In the third Ir4+ site, Ir4+ is bonded in a bent 120 degrees geometry to two O2- atoms. There is one shorter (1.86 Å) and one longer (1.92 Å) Ir–O bond length. In the fourth Ir4+ site, Ir4+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ir–O bond distances ranging from 1.90–1.99 Å. In the fifth Ir4+ site, Ir4+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Ir–O bond distances ranging from 1.89–2.08 Å. In the sixth Ir4+ site, Ir4+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Ir–O bond distances ranging from 1.95–2.13 Å. In the seventh Ir4+ site, Ir4+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Ir–O bond distances ranging from 1.81–2.00 Å. In the eighth Ir4+ site, Ir4+ is bonded in a bent 120 degrees geometry to two O2- atoms. There is one shorter (1.84 Å) and one longer (1.93 Å) Ir–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Ir4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one O2- atom. The O–O bond length is 1.49 Å. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ir4+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+ and two Ir4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ir4+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ atoms to form distorted OSr4 trigonal pyramids that share a cornercorner with one OSr4O trigonal bipyramid and an edgeedge with one OSr3Ir tetrahedra. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one O2- atom. The O–O bond length is 1.51 Å. In the eighth O2- site, O2- is bonded to three Sr2+ and one Ir4+ atom to form distorted OSr3Ir trigonal pyramids that share a cornercorner with one OSr4O trigonal bipyramid, an edgeedge with one OSr3Ir tetrahedra, and an edgeedge with one OSr3Ir trigonal pyramid. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ir4+ atom. In the tenth O2- site, O2- is bonded to three Sr2+ and one Ir4+ atom to form distorted OSr3Ir tetrahedra that share a cornercorner with one OSr3Ir tetrahedra, corners with two equivalent OSr4O trigonal bipyramids, and an edgeedge with one OSr4 trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ir4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and two Ir4+ atoms. In the thirteenth O2- site, O2- is bonded to three Sr2+ and one Ir4+ atom to form distorted OSr3Ir tetrahedra that share a cornercorner with one OSr3Ir tetrahedra, a cornercorner with one OSr4O trigonal bipyramid, a cornercorner with one OSr3Ir trigonal pyramid, and an edgeedge with one OSr3Ir trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one O2- atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one O2- atom. The O–O bond length is 1.50 Å. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and one Ir4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one O2- atom. In the eighteenth O2- site, O2- is bonded to four Sr2+ and one O2- atom to form distorted OSr4O trigonal bipyramids that share a cornercorner with one SrO7 pentagonal bipyramid, a cornercorner with one SrO6 pentagonal pyramid, corners with three OSr3Ir tetrahedra, and corners with three OSr3Ir trigonal pyramids. The O–O bond length is 1.51 Å. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one O2- atom. The O–O bond length is 1.50 Å. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to one Sr2+ and one Ir4+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one O2- atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ir4+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ir4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to five Sr2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ir4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one O2- atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Sr2+ and one Ir4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ir4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ir4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one O2- atom. In the thirty-first O2- site, O2- is bonded to three Sr2+ and one Ir4+ atom to form OSr3Ir trigonal pyramids that share a cornercorner with one OSr3Ir tetrahedra, a cornercorner with one OSr4O trigonal bipyramid, and an edgeedge with one OSr3Ir trigonal pyramid. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ir4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2Sc4Zn2(MoO4)9 by Materials Project

Na2Sc4Zn2(MoO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.60 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.62 Å. In the third Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.61 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.53–2.60 Å. There are eight inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the second Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.06–2.14 Å. In the third Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.07–2.13 Å. In the fourth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.07–2.13 Å. In the fifth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.07–2.14 Å. In the sixth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.08–2.12 Å. In the seventh Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.06–2.15 Å. In the eighth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.09–2.12 Å. There are eighteen inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. In the second Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. In the third Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. In the fourth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the fifth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the sixth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is three shorter (1.79 Å) and one longer (1.80 Å) Mo–O bond length. In the seventh Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the eighth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is three shorter (1.79 Å) and one longer (1.80 Å) Mo–O bond length. In the ninth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. In the tenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the eleventh Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the twelfth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is two shorter (1.79 Å) and two longer (1.80 Å) Mo–O bond length. In the thirteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the fourteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is two shorter (1.79 Å) and two longer (1.80 Å) Mo–O bond length. In the fifteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is two shorter (1.79 Å) and two longer (1.80 Å) Mo–O bond length. In the sixteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the seventeenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the eighteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.14 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.15 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.14 Å. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the thirty-second O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Li2V18O39 by Materials Project

Li2V18O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 70–76°. There are a spread of Li–O bond distances ranging from 1.99–2.43 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 71–77°. There are a spread of Li–O bond distances ranging from 2.00–2.38 Å. There are eighteen inequivalent V+4.22+ sites. In the first V+4.22+ site, V+4.22+ is bonded to five O2- atoms to form distorted VO5 trigonal bipyramids that share corners with two VO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with two equivalent VO5 trigonal bipyramids, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.68–2.01 Å. In the second V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.34 Å. In the third V+4.22+ site, V+4.22+ is bonded to five O2- atoms to form distorted VO5 trigonal bipyramids that share corners with two VO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with two equivalent VO5 trigonal bipyramids, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.68–2.00 Å. In the fourth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent LiO5 square pyramids, a cornercorner with one VO5 trigonal bipyramid, and edges with two equivalent VO6 octahedra. The corner-sharing octahedral tilt angles are 27°. There are a spread of V–O bond distances ranging from 1.78–2.14 Å. In the fifth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 0–22°. There are a spread of V–O bond distances ranging from 1.89–2.07 Å. In the sixth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.38 Å. In the seventh V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the eighth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.28 Å. In the ninth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent LiO5 square pyramids, a cornercorner with one VO5 trigonal bipyramid, and edges with two equivalent VO6 octahedra. The corner-sharing octahedral tilt angles are 26°. There are a spread of V–O bond distances ranging from 1.79–2.13 Å. In the tenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.71–2.34 Å. In the eleventh V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.28 Å. In the twelfth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.39 Å. In the thirteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.34 Å. In the fourteenth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 0–29°. There are a spread of V–O bond distances ranging from 1.73–2.10 Å. In the fifteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.33 Å. In the sixteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.38 Å. In the seventeenth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. In the eighteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.40 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.22+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.22+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two V+4.22+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the fifteenth O2- site, O2- is bonded to four V+4.22+ atoms to form distorted corner-sharing OV4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Li1+ and one V+4.22+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three V+4.22+ atoms. In the twentieth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.22+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to four V+4.22+ atoms. In the twenty-fourth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.22+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three V+4.22+ atoms. In the thirty-second O2- site, O2- is bonded to one Li1+ and three V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Li1+ and one V+4.22+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two V+4.22+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the thirty-sixth O2- site, O2- is bonded to one Li1+ and three V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the thirty-eighth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiCu4(PO4)3 by Materials Project

LiCu4(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.22 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with six CuO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 76–78°. There are a spread of Li–O bond distances ranging from 2.04–2.17 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.18 Å. There are ten inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.90–2.56 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.35 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.35 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.94–2.57 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.93–2.64 Å. In the sixth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.90–2.59 Å. In the seventh Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.20 Å. In the eighth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.57 Å. In the ninth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.18 Å. In the tenth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.18 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 six CuO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–57°. 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 corners with six CuO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra and corners with two equivalent LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is three shorter (1.54 Å) and one longer (1.60 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 six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. 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 six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two equivalent Cu2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, three Cu2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted OLiCu2P tetrahedra that share corners with three OLiCu2P tetrahedra and an edgeedge with one OCu3P tetrahedra. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to three Cu2+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to three Cu2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Cu2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Cu2+ and one P5+ atom to form a mixture of distorted edge and corner-sharing OCu3P tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Cu2+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the twenty-ninth O2- site, O2- is bonded to three Cu2+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Cu2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Cu2+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Cu2+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 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 distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.19 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.27 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.86–2.28 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.17 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.33 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.31 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.58 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.97 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.97 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–1.98 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the fifth V+4.67+ site, V+4.67+ 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 1.85–1.97 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.04 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.46–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–34°. There is one shorter (1.49 Å) and three longer (1.58 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 three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of P–O bond distances ranging from 1.50–1.61 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 a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 15

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 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 distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.18 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.20 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.17 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.27–2.40 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 1.92–2.71 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–1.98 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.95 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.92 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.96 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.00 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.91 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 LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–49°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–51°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. 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 LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–49°. There are a spread of P–O bond distances ranging from 1.49–1.60 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, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–50°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the sixteenth 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry

36 MATERIALS SCIENCE↗

Materials Data on NaLi3Fe4(SiO3)8 by Materials Project

NaLi3Fe4(SiO3)8 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.38 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.39 Å. There are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.57 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.58 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.58 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 2.09–2.57 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 2.09–2.58 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 2.08–2.58 Å. There are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–59°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirty-third O2- site, O2- i

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti4O9 by Materials Project

Na2Ti4O9 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.82 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.89 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.45 Å) and four longer (2.50 Å) Na–O bond lengths. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.71 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.63 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.63 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.95 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.85 Å. In the twelfth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.84 Å. There are twenty-four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Ti–O bond distances ranging from 1.83–2.31 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the seventh 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 1.92–2.07 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the seventeenth 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 1.92–2.03 Å. In the eighteenth 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 1.96–2.00 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the twentieth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the twenty-first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Ti–O bond distances ranging from 1.84–2.28 Å. In the twenty-second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the twenty-third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the twenty-fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 tetrahedra that share corners with four ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and an edgeedge with one ONaTi3 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with two ONaTi3 trigonal pyramids, an edgeedge with one ONaTi3 tetrahedra, and an edgeedge with one ONaTi3 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONaTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONaTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONaTi3 trigonal pyramid, edges with two ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONaTi3 trigonal pyramid, an edgeedge with one ONaTi3 tetrahedra, and edges with two ONaTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted water-like geometry to one Na1+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Na1+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-seventh O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-ninth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and t

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.42 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.38 Å. In the fourth 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 1.95–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.12 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.31 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.18–2.40 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.02 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.97 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.00 Å. In the fifth V+4.67+ site, V+4.67+ 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 1.84–2.00 Å. In the sixth V+4.67+ site, V+4.67+ 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 1.84–2.03 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–37°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, 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 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–47°. 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 corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 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, a cornercorner with one LiO4 tetrahedra, 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 1.49–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 33–37°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–33°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fourteenth 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–48°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2-

36 MATERIALS SCIENCE↗