The structure described by LiCr10O15 is Corundum-derived structured and crystallizes in the orthorhombic Cmce space group. Li(1) is bonded in a linear geometry to two equivalent O(1) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form a mixture of distorted corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 0-58°. In the second Cr site, Cr(2) is bonded to one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form a mixture of corner, face, and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 11-51°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Cr(1), and two equivalent Cr(3) atoms to form distorted OLiCr3 tetrahedra that share  a cornercorner with one O(6)Cr6 octahedra,  a cornercorner with one O(1)LiCr3 tetrahedra, corners with four equivalent O(4)Cr4 trigonal pyramids, and  an edgeedge with one O(6)Cr6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Cr(1), one Cr(3), and two equivalent Cr(2) atoms. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to two equivalent Cr(2) and two equivalent Cr(3) atoms. In the fourth O site, O(4) is bonded to one Cr(1), one Cr(3), and two equivalent Cr(2) atoms to form OCr4 trigonal pyramids that share corners with two equivalent O(1)LiCr3 tetrahedra,  a cornercorner with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(6)Cr6 octahedra, and  an edgeedge with one O(4)Cr4 trigonal pyramid. In the fifth O site, O(5) is bonded in a see-saw-like geometry to two equivalent Cr(2) and two equivalent Cr(3) atoms. In the sixth O site, O(6) is bonded to two equivalent Cr(1) and four equivalent Cr(3) atoms to form OCr6 octahedra that share corners with two equivalent O(1)LiCr3 tetrahedra, edges with two equivalent O(1)LiCr3 tetrahedra, and edges with four equivalent O(4)Cr4 trigonal pyramids. is represented by the CIF card [CIF]
data_LiCr10O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.780
_cell_length_b   7.780
_cell_length_c   9.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   96.263
_symmetry_Int_Tables_number   1
_cell_volume   568.309
_cell_formula_units_Z   2
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  0.000  0.000  0.000  1.0
  Li  Li1  1  0.500  0.500  0.500  1.0
  Cr  Cr2  1  0.188  0.188  0.633  1.0
  Cr  Cr3  1  0.312  0.312  0.133  1.0
  Cr  Cr4  1  0.098  0.581  0.387  1.0
  Cr  Cr5  1  0.081  0.598  0.113  1.0
  Cr  Cr6  1  0.598  0.081  0.113  1.0
  Cr  Cr7  1  0.581  0.098  0.387  1.0
  Cr  Cr8  1  0.291  0.544  0.853  1.0
  Cr  Cr9  1  0.044  0.791  0.647  1.0
  Cr  Cr10  1  0.791  0.044  0.647  1.0
  Cr  Cr11  1  0.544  0.291  0.853  1.0
  Cr  Cr12  1  0.709  0.456  0.147  1.0
  Cr  Cr13  1  0.209  0.956  0.353  1.0
  Cr  Cr14  1  0.956  0.209  0.353  1.0
  Cr  Cr15  1  0.456  0.709  0.147  1.0
  Cr  Cr16  1  0.902  0.419  0.613  1.0
  Cr  Cr17  1  0.402  0.919  0.887  1.0
  Cr  Cr18  1  0.919  0.402  0.887  1.0
  Cr  Cr19  1  0.419  0.902  0.613  1.0
  Cr  Cr20  1  0.688  0.688  0.867  1.0
  Cr  Cr21  1  0.812  0.812  0.367  1.0
  O  O22  1  0.139  0.139  0.229  1.0
  O  O23  1  0.101  0.361  0.492  1.0
  O  O24  1  0.361  0.101  0.492  1.0
  O  O25  1  0.399  0.139  0.992  1.0
  O  O26  1  0.139  0.399  0.992  1.0
  O  O27  1  0.566  0.066  0.750  1.0
  O  O28  1  0.066  0.566  0.750  1.0
  O  O29  1  0.361  0.361  0.729  1.0
  O  O30  1  0.039  0.775  0.261  1.0
  O  O31  1  0.275  0.539  0.239  1.0
  O  O32  1  0.775  0.039  0.261  1.0
  O  O33  1  0.539  0.275  0.239  1.0
  O  O34  1  0.742  0.258  0.000  1.0
  O  O35  1  0.500  0.500  0.000  1.0
  O  O36  1  0.258  0.742  0.000  1.0
  O  O37  1  0.000  0.000  0.500  1.0
  O  O38  1  0.758  0.242  0.500  1.0
  O  O39  1  0.242  0.758  0.500  1.0
  O  O40  1  0.961  0.225  0.739  1.0
  O  O41  1  0.461  0.725  0.761  1.0
  O  O42  1  0.225  0.961  0.739  1.0
  O  O43  1  0.725  0.461  0.761  1.0
  O  O44  1  0.639  0.639  0.271  1.0
  O  O45  1  0.434  0.934  0.250  1.0
  O  O46  1  0.934  0.434  0.250  1.0
  O  O47  1  0.601  0.861  0.008  1.0
  O  O48  1  0.861  0.601  0.008  1.0
  O  O49  1  0.899  0.639  0.508  1.0
  O  O50  1  0.639  0.899  0.508  1.0
  O  O51  1  0.861  0.861  0.771  1.0
[/CIF]
.
The structure described by LiCr10O15 is Corundum-derived structured and crystallizes in the orthorhombic Cmce space group. Li(1) is bonded in a linear geometry to two equivalent O(1) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form a mixture of distorted corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 0-58°. In the second Cr site, Cr(2) is bonded to one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form a mixture of corner, face, and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 11-51°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Cr(1), and two equivalent Cr(3) atoms to form distorted OLiCr3 tetrahedra that share  a cornercorner with one O(6)Cr6 octahedra,  a cornercorner with one O(1)LiCr3 tetrahedra, corners with four equivalent O(4)Cr4 trigonal pyramids, and  an edgeedge with one O(6)Cr6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Cr(1), one Cr(3), and two equivalent Cr(2) atoms. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to two equivalent Cr(2) and two equivalent Cr(3) atoms. In the fourth O site, O(4) is bonded to one Cr(1), one Cr(3), and two equivalent Cr(2) atoms to form OCr4 trigonal pyramids that share corners with two equivalent O(1)LiCr3 tetrahedra,  a cornercorner with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(6)Cr6 octahedra, and  an edgeedge with one O(4)Cr4 trigonal pyramid. In the fifth O site, O(5) is bonded in a see-saw-like geometry to two equivalent Cr(2) and two equivalent Cr(3) atoms. In the sixth O site, O(6) is bonded to two equivalent Cr(1) and four equivalent Cr(3) atoms to form OCr6 octahedra that share corners with two equivalent O(1)LiCr3 tetrahedra, edges with two equivalent O(1)LiCr3 tetrahedra, and edges with four equivalent O(4)Cr4 trigonal pyramids. is represented by the CIF card [CIF]
data_LiCr10O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.780
_cell_length_b   7.780
_cell_length_c   9.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   96.263
_symmetry_Int_Tables_number   1
_cell_volume   568.309
_cell_formula_units_Z   2
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  0.000  0.000  0.000  1.0
  Li  Li1  1  0.500  0.500  0.500  1.0
  Cr  Cr2  1  0.188  0.188  0.633  1.0
  Cr  Cr3  1  0.312  0.312  0.133  1.0
  Cr  Cr4  1  0.098  0.581  0.387  1.0
  Cr  Cr5  1  0.081  0.598  0.113  1.0
  Cr  Cr6  1  0.598  0.081  0.113  1.0
  Cr  Cr7  1  0.581  0.098  0.387  1.0
  Cr  Cr8  1  0.291  0.544  0.853  1.0
  Cr  Cr9  1  0.044  0.791  0.647  1.0
  Cr  Cr10  1  0.791  0.044  0.647  1.0
  Cr  Cr11  1  0.544  0.291  0.853  1.0
  Cr  Cr12  1  0.709  0.456  0.147  1.0
  Cr  Cr13  1  0.209  0.956  0.353  1.0
  Cr  Cr14  1  0.956  0.209  0.353  1.0
  Cr  Cr15  1  0.456  0.709  0.147  1.0
  Cr  Cr16  1  0.902  0.419  0.613  1.0
  Cr  Cr17  1  0.402  0.919  0.887  1.0
  Cr  Cr18  1  0.919  0.402  0.887  1.0
  Cr  Cr19  1  0.419  0.902  0.613  1.0
  Cr  Cr20  1  0.688  0.688  0.867  1.0
  Cr  Cr21  1  0.812  0.812  0.367  1.0
  O  O22  1  0.139  0.139  0.229  1.0
  O  O23  1  0.101  0.361  0.492  1.0
  O  O24  1  0.361  0.101  0.492  1.0
  O  O25  1  0.399  0.139  0.992  1.0
  O  O26  1  0.139  0.399  0.992  1.0
  O  O27  1  0.566  0.066  0.750  1.0
  O  O28  1  0.066  0.566  0.750  1.0
  O  O29  1  0.361  0.361  0.729  1.0
  O  O30  1  0.039  0.775  0.261  1.0
  O  O31  1  0.275  0.539  0.239  1.0
  O  O32  1  0.775  0.039  0.261  1.0
  O  O33  1  0.539  0.275  0.239  1.0
  O  O34  1  0.742  0.258  0.000  1.0
  O  O35  1  0.500  0.500  0.000  1.0
  O  O36  1  0.258  0.742  0.000  1.0
  O  O37  1  0.000  0.000  0.500  1.0
  O  O38  1  0.758  0.242  0.500  1.0
  O  O39  1  0.242  0.758  0.500  1.0
  O  O40  1  0.961  0.225  0.739  1.0
  O  O41  1  0.461  0.725  0.761  1.0
  O  O42  1  0.225  0.961  0.739  1.0
  O  O43  1  0.725  0.461  0.761  1.0
  O  O44  1  0.639  0.639  0.271  1.0
  O  O45  1  0.434  0.934  0.250  1.0
  O  O46  1  0.934  0.434  0.250  1.0
  O  O47  1  0.601  0.861  0.008  1.0
  O  O48  1  0.861  0.601  0.008  1.0
  O  O49  1  0.899  0.639  0.508  1.0
  O  O50  1  0.639  0.899  0.508  1.0
  O  O51  1  0.861  0.861  0.771  1.0
[/CIF]
.