The crystal structure described by Li7Cr5O12 is Caswellsilverite-like structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with six equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the second Li site, Li(2) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the third Li site, Li(3) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with four equivalent Li(2)O6 octahedra, and edges with six equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the second Cr site, Cr(2) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with four equivalent Li(2)O6 octahedra, and edges with six equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the third Cr site, Cr(3) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, edges with three equivalent Cr(3)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), two equivalent Li(2), one Cr(2), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(3)Li4Cr2 octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, edges with four equivalent O(4)Li3Cr3 octahedra, and edges with five equivalent O(1)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second O site, O(2) is bonded to one Li(1), one Li(3), two equivalent Li(2), and two equivalent Cr(1) atoms to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with four equivalent O(3)Li4Cr2 octahedra, and edges with five equivalent O(2)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the third O site, O(3) is bonded to one Li(1), one Li(3), two equivalent Li(2), and two equivalent Cr(1) atoms to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li4Cr2 octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, and edges with eight equivalent O(2)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the fourth O site, O(4) is bonded to one Li(1), two equivalent Li(2), one Cr(2), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li4Cr2 octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with eight equivalent O(1)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the CIF card [CIF]
data_Li7Cr5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.093
_cell_length_b   5.093
_cell_length_c   9.787
_cell_angle_alpha   84.988
_cell_angle_beta   84.988
_cell_angle_gamma   120.209
_symmetry_Int_Tables_number   1
_cell_volume   216.027
_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  0.756  0.756  0.254  1.0
  Li  Li1  1  0.414  0.082  0.254  1.0
  Li  Li2  1  0.586  0.918  0.746  1.0
  Li  Li3  1  0.244  0.244  0.746  1.0
  Li  Li4  1  0.918  0.586  0.746  1.0
  Li  Li5  1  0.082  0.414  0.254  1.0
  Li  Li6  1  0.000  0.000  0.500  1.0
  Cr  Cr7  1  0.665  0.335  0.500  1.0
  Cr  Cr8  1  0.500  0.500  0.000  1.0
  Cr  Cr9  1  0.168  0.832  0.000  1.0
  Cr  Cr10  1  0.335  0.665  0.500  1.0
  Cr  Cr11  1  0.832  0.168  0.000  1.0
  O  O12  1  0.539  0.204  0.887  1.0
  O  O13  1  0.332  0.963  0.612  1.0
  O  O14  1  0.602  0.602  0.612  1.0
  O  O15  1  0.037  0.668  0.388  1.0
  O  O16  1  0.796  0.461  0.113  1.0
  O  O17  1  0.398  0.398  0.388  1.0
  O  O18  1  0.128  0.128  0.116  1.0
  O  O19  1  0.668  0.037  0.388  1.0
  O  O20  1  0.461  0.796  0.113  1.0
  O  O21  1  0.872  0.872  0.884  1.0
  O  O22  1  0.204  0.539  0.887  1.0
  O  O23  1  0.963  0.332  0.612  1.0
[/CIF]
.
The crystal structure described by Li7Cr5O12 is Caswellsilverite-like structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with six equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the second Li site, Li(2) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the third Li site, Li(3) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with four equivalent Li(2)O6 octahedra, and edges with six equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the second Cr site, Cr(2) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with four equivalent Li(2)O6 octahedra, and edges with six equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the third Cr site, Cr(3) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, edges with three equivalent Cr(3)O6 octahedra, and edges with four equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), two equivalent Li(2), one Cr(2), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(3)Li4Cr2 octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, edges with four equivalent O(4)Li3Cr3 octahedra, and edges with five equivalent O(1)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second O site, O(2) is bonded to one Li(1), one Li(3), two equivalent Li(2), and two equivalent Cr(1) atoms to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, edges with four equivalent O(3)Li4Cr2 octahedra, and edges with five equivalent O(2)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the third O site, O(3) is bonded to one Li(1), one Li(3), two equivalent Li(2), and two equivalent Cr(1) atoms to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li4Cr2 octahedra, edges with two equivalent O(1)Li3Cr3 octahedra, and edges with eight equivalent O(2)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the fourth O site, O(4) is bonded to one Li(1), two equivalent Li(2), one Cr(2), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(3)Li4Cr2 octahedra, corners with two equivalent O(1)Li3Cr3 octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li4Cr2 octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with eight equivalent O(1)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the CIF card [CIF]
data_Li7Cr5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.093
_cell_length_b   5.093
_cell_length_c   9.787
_cell_angle_alpha   84.988
_cell_angle_beta   84.988
_cell_angle_gamma   120.209
_symmetry_Int_Tables_number   1
_cell_volume   216.027
_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  0.756  0.756  0.254  1.0
  Li  Li1  1  0.414  0.082  0.254  1.0
  Li  Li2  1  0.586  0.918  0.746  1.0
  Li  Li3  1  0.244  0.244  0.746  1.0
  Li  Li4  1  0.918  0.586  0.746  1.0
  Li  Li5  1  0.082  0.414  0.254  1.0
  Li  Li6  1  0.000  0.000  0.500  1.0
  Cr  Cr7  1  0.665  0.335  0.500  1.0
  Cr  Cr8  1  0.500  0.500  0.000  1.0
  Cr  Cr9  1  0.168  0.832  0.000  1.0
  Cr  Cr10  1  0.335  0.665  0.500  1.0
  Cr  Cr11  1  0.832  0.168  0.000  1.0
  O  O12  1  0.539  0.204  0.887  1.0
  O  O13  1  0.332  0.963  0.612  1.0
  O  O14  1  0.602  0.602  0.612  1.0
  O  O15  1  0.037  0.668  0.388  1.0
  O  O16  1  0.796  0.461  0.113  1.0
  O  O17  1  0.398  0.398  0.388  1.0
  O  O18  1  0.128  0.128  0.116  1.0
  O  O19  1  0.668  0.037  0.388  1.0
  O  O20  1  0.461  0.796  0.113  1.0
  O  O21  1  0.872  0.872  0.884  1.0
  O  O22  1  0.204  0.539  0.887  1.0
  O  O23  1  0.963  0.332  0.612  1.0
[/CIF]
.