The material structure described by Li10V3Cr5O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(16), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-63°. In the second Li site, Li(2) is bonded to one O(1), one O(11), one O(13), one O(3), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Cr(4)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third Li site, Li(3) is bonded in a 5-coordinate geometry to one O(13), one O(14), one O(15), one O(4), one O(7), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(13), one O(15), one O(4), and one O(7) atom. In the fifth Li site, Li(5) is bonded in a 5-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(4), and one O(9) atom. In the sixth Li site, Li(6) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(16), one O(3), one O(5), and one O(6) atom. In the seventh Li site, Li(7) is bonded to one O(10), one O(14), one O(2), one O(5), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(1), one O(12), one O(16), one O(2), one O(6), and one O(8) atom. In the ninth Li site, Li(9) is bonded in a 6-coordinate geometry to one O(12), one O(16), one O(2), one O(3), one O(5), and one O(8) atom. In the tenth Li site, Li(10) is bonded to one O(10), one O(14), one O(15), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra, corners with three equivalent Li(7)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-60°. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(7) atom to form VO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second V site, V(2) is bonded to one O(10), one O(14), one O(16), one O(4), one O(5), and one O(6) atom to form VO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third V site, V(3) is bonded to one O(11), one O(12), one O(13), one O(15), one O(3), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are five inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(16), one O(2), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the second Cr site, Cr(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with three equivalent Li(7)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  a faceface with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-53°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(15), one O(3), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the fourth Cr site, Cr(4) is bonded to one O(10), one O(11), one O(13), one O(14), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and  a faceface with one Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-52°. In the fifth Cr site, Cr(5) is bonded to one O(1), one O(12), one O(13), one O(15), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-48°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(6), one Li(8), one Cr(2), one Cr(3), and one Cr(5) atom. In the second O site, O(2) is bonded to one Li(7), one Li(8), one Li(9), one V(1), one Cr(1), and one Cr(2) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(6)Li3V2Cr octahedra, edges with two equivalent O(5)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the third O site, O(3) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(6), one Li(9), one V(3), one Cr(2), and one Cr(3) atom. In the fourth O site, O(4) is bonded to one Li(3), one Li(4), one Li(5), one V(1), one V(2), and one Cr(1) atom to form distorted OLi3V2Cr pentagonal pyramids that share  an edgeedge with one O(9)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(11)Li3VCr2 octahedra,  an edgeedge with one O(13)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra, and  an edgeedge with one O(5)Li3VCr2 octahedra. In the fifth O site, O(5) is bonded to one Li(6), one Li(7), one Li(9), one V(2), one Cr(1), and one Cr(2) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(6)Li3V2Cr octahedra, edges with two equivalent O(2)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(6), one Li(7), one Li(8), one V(1), one V(2), and one Cr(2) atom to form distorted OLi3V2Cr octahedra that share edges with two equivalent O(2)Li3VCr2 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the seventh O site, O(7) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(4), one Li(7), one V(1), one Cr(1), and one Cr(4) atom. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(8), one Li(9), one V(3), one Cr(2), and one Cr(5) atom. In the ninth O site, O(9) is bonded to one Li(2), one Li(3), one Li(5), one Cr(3), one Cr(4), and one Cr(5) atom to form OLi3Cr3 octahedra that share edges with two equivalent O(11)Li3VCr2 octahedra, edges with two equivalent O(13)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(10), one Li(4), one Li(5), one Li(7), one V(2), one Cr(1), and one Cr(4) atom. In the eleventh O site, O(11) is bonded to one Li(2), one Li(4), one Li(5), one V(3), one Cr(3), and one Cr(4) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(9)Li3Cr3 octahedra, edges with two equivalent O(13)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(6), one Li(8), one Li(9), one V(3), one Cr(3), and one Cr(5) atom to form distorted OLi3VCr2 pentagonal pyramids that share  an edgeedge with one O(9)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(11)Li3VCr2 octahedra,  an edgeedge with one O(13)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra, and  an edgeedge with one O(5)Li3VCr2 octahedra. In the thirteenth O site, O(13) is bonded to one Li(2), one Li(3), one Li(4), one V(3), one Cr(4), and one Cr(5) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(9)Li3Cr3 octahedra, edges with two equivalent O(11)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(5), one Li(7), one V(1), one V(2), and one Cr(4) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(4), one Li(5), one V(3), one Cr(3), and one Cr(5) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(6), one Li(8), one Li(9), one V(1), one V(2), and one Cr(1) atom. is represented by the CIF file [CIF]
data_Li10V3Cr5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.939
_cell_length_b   6.013
_cell_length_c   9.851
_cell_angle_alpha   89.826
_cell_angle_beta   89.824
_cell_angle_gamma   60.840
_symmetry_Int_Tables_number   1
_cell_volume   307.198
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.021  0.988  0.012  1.0
  Li  Li1  1  0.355  0.324  0.226  1.0
  Li  Li2  1  0.625  0.198  0.441  1.0
  Li  Li3  1  0.215  0.594  0.446  1.0
  Li  Li4  1  0.197  0.192  0.439  1.0
  Li  Li5  1  0.816  0.797  0.942  1.0
  Li  Li6  1  0.680  0.637  0.725  1.0
  Li  Li7  1  0.413  0.781  0.948  1.0
  Li  Li8  1  0.810  0.375  0.942  1.0
  Li  Li9  1  0.016  0.975  0.514  1.0
  V  V10  1  0.664  0.149  0.711  1.0
  V  V11  1  0.188  0.148  0.712  1.0
  V  V12  1  0.849  0.326  0.211  1.0
  Cr  Cr13  1  0.178  0.646  0.714  1.0
  Cr  Cr14  1  0.348  0.315  0.973  1.0
  Cr  Cr15  1  0.850  0.821  0.213  1.0
  Cr  Cr16  1  0.683  0.650  0.471  1.0
  Cr  Cr17  1  0.356  0.821  0.214  1.0
  O  O18  1  0.184  0.660  0.094  1.0
  O  O19  1  0.494  0.479  0.838  1.0
  O  O20  1  0.687  0.145  0.087  1.0
  O  O21  1  0.338  0.329  0.592  1.0
  O  O22  1  0.032  0.477  0.840  1.0
  O  O23  1  0.496  0.007  0.845  1.0
  O  O24  1  0.851  0.806  0.594  1.0
  O  O25  1  0.195  0.143  0.092  1.0
  O  O26  1  0.530  0.966  0.338  1.0
  O  O27  1  0.348  0.805  0.591  1.0
  O  O28  1  0.992  0.513  0.339  1.0
  O  O29  1  0.678  0.668  0.097  1.0
  O  O30  1  0.517  0.510  0.338  1.0
  O  O31  1  0.847  0.309  0.584  1.0
  O  O32  1  0.024  0.979  0.324  1.0
  O  O33  1  0.010  0.976  0.822  1.0
[/CIF]
.
The material structure described by Li10V3Cr5O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(16), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-63°. In the second Li site, Li(2) is bonded to one O(1), one O(11), one O(13), one O(3), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Cr(4)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third Li site, Li(3) is bonded in a 5-coordinate geometry to one O(13), one O(14), one O(15), one O(4), one O(7), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(13), one O(15), one O(4), and one O(7) atom. In the fifth Li site, Li(5) is bonded in a 5-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(4), and one O(9) atom. In the sixth Li site, Li(6) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(16), one O(3), one O(5), and one O(6) atom. In the seventh Li site, Li(7) is bonded to one O(10), one O(14), one O(2), one O(5), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(1), one O(12), one O(16), one O(2), one O(6), and one O(8) atom. In the ninth Li site, Li(9) is bonded in a 6-coordinate geometry to one O(12), one O(16), one O(2), one O(3), one O(5), and one O(8) atom. In the tenth Li site, Li(10) is bonded to one O(10), one O(14), one O(15), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra, corners with three equivalent Li(7)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-60°. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(7) atom to form VO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second V site, V(2) is bonded to one O(10), one O(14), one O(16), one O(4), one O(5), and one O(6) atom to form VO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third V site, V(3) is bonded to one O(11), one O(12), one O(13), one O(15), one O(3), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are five inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(16), one O(2), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the second Cr site, Cr(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with three equivalent Li(7)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  a faceface with one Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-53°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(15), one O(3), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the fourth Cr site, Cr(4) is bonded to one O(10), one O(11), one O(13), one O(14), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and  a faceface with one Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-52°. In the fifth Cr site, Cr(5) is bonded to one O(1), one O(12), one O(13), one O(15), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-48°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(6), one Li(8), one Cr(2), one Cr(3), and one Cr(5) atom. In the second O site, O(2) is bonded to one Li(7), one Li(8), one Li(9), one V(1), one Cr(1), and one Cr(2) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(6)Li3V2Cr octahedra, edges with two equivalent O(5)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the third O site, O(3) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(6), one Li(9), one V(3), one Cr(2), and one Cr(3) atom. In the fourth O site, O(4) is bonded to one Li(3), one Li(4), one Li(5), one V(1), one V(2), and one Cr(1) atom to form distorted OLi3V2Cr pentagonal pyramids that share  an edgeedge with one O(9)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(11)Li3VCr2 octahedra,  an edgeedge with one O(13)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra, and  an edgeedge with one O(5)Li3VCr2 octahedra. In the fifth O site, O(5) is bonded to one Li(6), one Li(7), one Li(9), one V(2), one Cr(1), and one Cr(2) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(6)Li3V2Cr octahedra, edges with two equivalent O(2)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(6), one Li(7), one Li(8), one V(1), one V(2), and one Cr(2) atom to form distorted OLi3V2Cr octahedra that share edges with two equivalent O(2)Li3VCr2 octahedra, edges with two equivalent O(5)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the seventh O site, O(7) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(4), one Li(7), one V(1), one Cr(1), and one Cr(4) atom. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(8), one Li(9), one V(3), one Cr(2), and one Cr(5) atom. In the ninth O site, O(9) is bonded to one Li(2), one Li(3), one Li(5), one Cr(3), one Cr(4), and one Cr(5) atom to form OLi3Cr3 octahedra that share edges with two equivalent O(11)Li3VCr2 octahedra, edges with two equivalent O(13)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(10), one Li(4), one Li(5), one Li(7), one V(2), one Cr(1), and one Cr(4) atom. In the eleventh O site, O(11) is bonded to one Li(2), one Li(4), one Li(5), one V(3), one Cr(3), and one Cr(4) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(9)Li3Cr3 octahedra, edges with two equivalent O(13)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(6), one Li(8), one Li(9), one V(3), one Cr(3), and one Cr(5) atom to form distorted OLi3VCr2 pentagonal pyramids that share  an edgeedge with one O(9)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3V2Cr octahedra,  an edgeedge with one O(11)Li3VCr2 octahedra,  an edgeedge with one O(13)Li3VCr2 octahedra,  an edgeedge with one O(2)Li3VCr2 octahedra, and  an edgeedge with one O(5)Li3VCr2 octahedra. In the thirteenth O site, O(13) is bonded to one Li(2), one Li(3), one Li(4), one V(3), one Cr(4), and one Cr(5) atom to form OLi3VCr2 octahedra that share edges with two equivalent O(9)Li3Cr3 octahedra, edges with two equivalent O(11)Li3VCr2 octahedra,  an edgeedge with one O(4)Li3V2Cr pentagonal pyramid, and  an edgeedge with one O(12)Li3VCr2 pentagonal pyramid. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(5), one Li(7), one V(1), one V(2), and one Cr(4) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(4), one Li(5), one V(3), one Cr(3), and one Cr(5) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(6), one Li(8), one Li(9), one V(1), one V(2), and one Cr(1) atom. is represented by the CIF file [CIF]
data_Li10V3Cr5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.939
_cell_length_b   6.013
_cell_length_c   9.851
_cell_angle_alpha   89.826
_cell_angle_beta   89.824
_cell_angle_gamma   60.840
_symmetry_Int_Tables_number   1
_cell_volume   307.198
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.021  0.988  0.012  1.0
  Li  Li1  1  0.355  0.324  0.226  1.0
  Li  Li2  1  0.625  0.198  0.441  1.0
  Li  Li3  1  0.215  0.594  0.446  1.0
  Li  Li4  1  0.197  0.192  0.439  1.0
  Li  Li5  1  0.816  0.797  0.942  1.0
  Li  Li6  1  0.680  0.637  0.725  1.0
  Li  Li7  1  0.413  0.781  0.948  1.0
  Li  Li8  1  0.810  0.375  0.942  1.0
  Li  Li9  1  0.016  0.975  0.514  1.0
  V  V10  1  0.664  0.149  0.711  1.0
  V  V11  1  0.188  0.148  0.712  1.0
  V  V12  1  0.849  0.326  0.211  1.0
  Cr  Cr13  1  0.178  0.646  0.714  1.0
  Cr  Cr14  1  0.348  0.315  0.973  1.0
  Cr  Cr15  1  0.850  0.821  0.213  1.0
  Cr  Cr16  1  0.683  0.650  0.471  1.0
  Cr  Cr17  1  0.356  0.821  0.214  1.0
  O  O18  1  0.184  0.660  0.094  1.0
  O  O19  1  0.494  0.479  0.838  1.0
  O  O20  1  0.687  0.145  0.087  1.0
  O  O21  1  0.338  0.329  0.592  1.0
  O  O22  1  0.032  0.477  0.840  1.0
  O  O23  1  0.496  0.007  0.845  1.0
  O  O24  1  0.851  0.806  0.594  1.0
  O  O25  1  0.195  0.143  0.092  1.0
  O  O26  1  0.530  0.966  0.338  1.0
  O  O27  1  0.348  0.805  0.591  1.0
  O  O28  1  0.992  0.513  0.339  1.0
  O  O29  1  0.678  0.668  0.097  1.0
  O  O30  1  0.517  0.510  0.338  1.0
  O  O31  1  0.847  0.309  0.584  1.0
  O  O32  1  0.024  0.979  0.324  1.0
  O  O33  1  0.010  0.976  0.822  1.0
[/CIF]
.