The material structure described by Li4Cr5O10 crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(3), one O(5), one O(8), and two equivalent O(1) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the second Li site, Li(2) is bonded to one O(4), one O(6), one O(7), one O(9), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the third Li site, Li(3) is bonded to one O(3), one O(5), one O(6), one O(7), and two equivalent O(10) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Cr(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the fourth Li site, Li(4) is bonded to one O(4), one O(5), one O(6), one O(8), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. There are six inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(8), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Cr site, Cr(3) is bonded to one O(1), one O(10), one O(3), one O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the fourth Cr site, Cr(4) is bonded to one O(2), one O(3), one O(4), one O(9), and two equivalent O(6) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-12°. In the fifth Cr site, Cr(5) is bonded to one O(1), one O(3), one O(5), one O(7), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the sixth Cr site, Cr(6) is bonded to one O(10), one O(2), one O(4), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Cr(1), one Cr(3), and one Cr(5) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(4)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(3)Li2Cr3 square pyramids, edges with two equivalent O(10)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid, and  an edgeedge with one O(8)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 1-3°. In the second O site, O(2) is bonded to two equivalent Li(2), one Cr(2), one Cr(4), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(4)Li2Cr3 square pyramids, edges with two equivalent O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(4)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid, and  an edgeedge with one O(8)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 2-5°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Cr(3), one Cr(4), and one Cr(5) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(2)Li2Cr3 square pyramid, corners with two equivalent O(1)Li2Cr3 square pyramids, corners with two equivalent O(7)Li2Cr3 square pyramids, corners with two equivalent O(8)Li2Cr3 square pyramids,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(10)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid, and  an edgeedge with one O(4)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Cr(3), one Cr(4), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid, corners with two equivalent O(2)Li2Cr3 square pyramids, corners with two equivalent O(7)Li2Cr3 square pyramids, corners with two equivalent O(8)Li2Cr3 square pyramids,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr3 octahedra, edges with two equivalent O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(2)Li2Cr3 square pyramid, and  an edgeedge with one O(3)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Li(4), one Cr(5), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid,  a cornercorner with one O(4)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(10)Li3Cr3 octahedra,  an edgeedge with one O(4)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, and edges with two equivalent O(3)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 3-5°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Cr(6), and two equivalent Cr(4) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid,  a cornercorner with one O(4)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(4)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 2-3°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Cr(1), one Cr(5), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid, corners with two equivalent O(3)Li2Cr3 square pyramids, corners with two equivalent O(4)Li2Cr3 square pyramids,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(10)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid, and  an edgeedge with one O(8)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles are 5°. In the eighth O site, O(8) is bonded to one Li(1), one Li(4), one Cr(2), one Cr(5), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(3)Li2Cr3 square pyramids, corners with two equivalent O(4)Li2Cr3 square pyramids,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid, and  an edgeedge with one O(7)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. In the ninth O site, O(9) is bonded to one Li(2), two equivalent Li(4), one Cr(2), one Cr(4), and one Cr(5) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(6)Li3Cr3 octahedra,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid, edges with two equivalent O(2)Li2Cr3 square pyramids, edges with two equivalent O(4)Li2Cr3 square pyramids, and edges with two equivalent O(8)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 0-5°. In the tenth O site, O(10) is bonded to one Li(1), two equivalent Li(3), one Cr(1), one Cr(3), and one Cr(6) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr3 octahedra,  an edgeedge with one O(4)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, edges with two equivalent O(3)Li2Cr3 square pyramids, and edges with two equivalent O(7)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 0-3°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr5O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.136
_cell_length_b   5.953
_cell_length_c   6.647
_cell_angle_alpha   103.468
_cell_angle_beta   97.402
_cell_angle_gamma   106.833
_symmetry_Int_Tables_number   1
_cell_volume   184.903
_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
  Cr  Cr0  1  1.000  0.500  0.000  1.0
  Cr  Cr1  1  0.799  0.098  0.605  1.0
  Cr  Cr2  1  0.201  0.902  0.395  1.0
  Cr  Cr3  1  0.394  0.296  0.802  1.0
  Cr  Cr4  1  0.606  0.704  0.198  1.0
  Li  Li5  1  0.600  0.192  0.191  1.0
  Li  Li6  1  0.400  0.808  0.809  1.0
  Li  Li7  1  0.804  0.609  0.609  1.0
  Li  Li8  1  0.196  0.391  0.391  1.0
  O  O9  1  0.690  0.170  0.889  1.0
  O  O10  1  0.310  0.830  0.111  1.0
  O  O11  1  0.891  0.031  0.318  1.0
  O  O12  1  0.109  0.969  0.682  1.0
  O  O13  1  0.496  0.236  0.514  1.0
  O  O14  1  0.504  0.764  0.486  1.0
  O  O15  1  0.685  0.623  0.908  1.0
  O  O16  1  0.315  0.377  0.092  1.0
  O  O17  1  0.097  0.434  0.712  1.0
  O  O18  1  0.903  0.566  0.288  1.0
[/CIF]
.
The material structure described by Li4Cr5O10 crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(3), one O(5), one O(8), and two equivalent O(1) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the second Li site, Li(2) is bonded to one O(4), one O(6), one O(7), one O(9), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-11°. In the third Li site, Li(3) is bonded to one O(3), one O(5), one O(6), one O(7), and two equivalent O(10) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Cr(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the fourth Li site, Li(4) is bonded to one O(4), one O(5), one O(6), one O(8), and two equivalent O(9) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. There are six inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(8), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Cr site, Cr(3) is bonded to one O(1), one O(10), one O(3), one O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the fourth Cr site, Cr(4) is bonded to one O(2), one O(3), one O(4), one O(9), and two equivalent O(6) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-12°. In the fifth Cr site, Cr(5) is bonded to one O(1), one O(3), one O(5), one O(7), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the sixth Cr site, Cr(6) is bonded to one O(10), one O(2), one O(4), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Cr(1), one Cr(3), and one Cr(5) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(4)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(3)Li2Cr3 square pyramids, edges with two equivalent O(10)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid, and  an edgeedge with one O(8)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 1-3°. In the second O site, O(2) is bonded to two equivalent Li(2), one Cr(2), one Cr(4), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(4)Li2Cr3 square pyramids, edges with two equivalent O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(4)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid, and  an edgeedge with one O(8)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 2-5°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Cr(3), one Cr(4), and one Cr(5) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(2)Li2Cr3 square pyramid, corners with two equivalent O(1)Li2Cr3 square pyramids, corners with two equivalent O(7)Li2Cr3 square pyramids, corners with two equivalent O(8)Li2Cr3 square pyramids,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(10)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid, and  an edgeedge with one O(4)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Cr(3), one Cr(4), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid, corners with two equivalent O(2)Li2Cr3 square pyramids, corners with two equivalent O(7)Li2Cr3 square pyramids, corners with two equivalent O(8)Li2Cr3 square pyramids,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr3 octahedra, edges with two equivalent O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(2)Li2Cr3 square pyramid, and  an edgeedge with one O(3)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. In the fifth O site, O(5) is bonded to one Li(1), one Li(3), one Li(4), one Cr(5), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid,  a cornercorner with one O(4)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(10)Li3Cr3 octahedra,  an edgeedge with one O(4)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, and edges with two equivalent O(3)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 3-5°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Cr(6), and two equivalent Cr(4) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid,  a cornercorner with one O(4)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(4)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 2-3°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Cr(1), one Cr(5), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid, corners with two equivalent O(3)Li2Cr3 square pyramids, corners with two equivalent O(4)Li2Cr3 square pyramids,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(10)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid, and  an edgeedge with one O(8)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles are 5°. In the eighth O site, O(8) is bonded to one Li(1), one Li(4), one Cr(2), one Cr(5), and one Cr(6) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(3)Li2Cr3 square pyramids, corners with two equivalent O(4)Li2Cr3 square pyramids,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(9)Li3Cr3 octahedra,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid, and  an edgeedge with one O(7)Li2Cr3 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. In the ninth O site, O(9) is bonded to one Li(2), two equivalent Li(4), one Cr(2), one Cr(4), and one Cr(5) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(9)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(5)Li3Cr3 octahedra,  an edgeedge with one O(9)Li3Cr3 octahedra, edges with two equivalent O(6)Li3Cr3 octahedra,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li2Cr3 square pyramid, edges with two equivalent O(2)Li2Cr3 square pyramids, edges with two equivalent O(4)Li2Cr3 square pyramids, and edges with two equivalent O(8)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 0-5°. In the tenth O site, O(10) is bonded to one Li(1), two equivalent Li(3), one Cr(1), one Cr(3), and one Cr(6) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(10)Li3Cr3 octahedra,  a cornercorner with one O(5)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(7)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr3 octahedra,  an edgeedge with one O(4)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, edges with two equivalent O(3)Li2Cr3 square pyramids, and edges with two equivalent O(7)Li2Cr3 square pyramids. The corner-sharing octahedral tilt angles range from 0-3°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr5O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.136
_cell_length_b   5.953
_cell_length_c   6.647
_cell_angle_alpha   103.468
_cell_angle_beta   97.402
_cell_angle_gamma   106.833
_symmetry_Int_Tables_number   1
_cell_volume   184.903
_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
  Cr  Cr0  1  1.000  0.500  0.000  1.0
  Cr  Cr1  1  0.799  0.098  0.605  1.0
  Cr  Cr2  1  0.201  0.902  0.395  1.0
  Cr  Cr3  1  0.394  0.296  0.802  1.0
  Cr  Cr4  1  0.606  0.704  0.198  1.0
  Li  Li5  1  0.600  0.192  0.191  1.0
  Li  Li6  1  0.400  0.808  0.809  1.0
  Li  Li7  1  0.804  0.609  0.609  1.0
  Li  Li8  1  0.196  0.391  0.391  1.0
  O  O9  1  0.690  0.170  0.889  1.0
  O  O10  1  0.310  0.830  0.111  1.0
  O  O11  1  0.891  0.031  0.318  1.0
  O  O12  1  0.109  0.969  0.682  1.0
  O  O13  1  0.496  0.236  0.514  1.0
  O  O14  1  0.504  0.764  0.486  1.0
  O  O15  1  0.685  0.623  0.908  1.0
  O  O16  1  0.315  0.377  0.092  1.0
  O  O17  1  0.097  0.434  0.712  1.0
  O  O18  1  0.903  0.566  0.288  1.0
[/CIF]
.