The structure described by Li2Cr5B3O13 crystallizes in the monoclinic P2_1/m space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(7), two equivalent O(3), and two equivalent O(9) atoms to form LiO5 square pyramids that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Li(2)O5 trigonal bipyramids, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 66°. In the second Li site, Li(2) is bonded to one O(1), one O(9), and three equivalent O(10) atoms to form distorted LiO5 trigonal bipyramids that share  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Li(1)O5 square pyramids, corners with two equivalent Li(2)O5 trigonal bipyramids, and edges with two equivalent Li(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. There are five inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 7-coordinate geometry to one O(10), one O(11), two equivalent O(1), and three equivalent O(8) atoms. In the second Cr site, Cr(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O5 square pyramids, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. In the third Cr site, Cr(3) is bonded to one O(12), one O(8), two equivalent O(11), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles are 61°. In the fourth Cr site, Cr(4) is bonded to one O(5), two equivalent O(6), and three equivalent O(13) atoms to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 62-63°. In the fifth Cr site, Cr(5) is bonded to one O(13), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form distorted CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(2)O5 trigonal bipyramid, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 61-63°. There are three inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(1), one O(3), and one O(4) atom. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(2), one O(6), and one O(7) atom. In the third B site, B(3) is bonded in a trigonal planar geometry to one O(10), one O(11), and one O(9) atom. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), and one B(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to two equivalent Cr(2) and one B(2) atom. In the third O site, O(3) is bonded to two equivalent Li(1), one Cr(2), and one B(1) atom to form OLi2CrB tetrahedra that share corners with two equivalent O(3)Li2CrB tetrahedra, corners with two equivalent O(7)LiCr2B tetrahedra, corners with two equivalent O(9)Li3CrB trigonal bipyramids, and  an edgeedge with one O(9)Li3CrB trigonal bipyramid. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to two equivalent Cr(3) and one B(1) atom. In the fifth O site, O(5) is bonded in a trigonal non-coplanar geometry to one Cr(4) and two equivalent Cr(2) atoms. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Cr(2), two equivalent Cr(4), and one B(2) atom. In the seventh O site, O(7) is bonded to one Li(1), two equivalent Cr(5), and one B(2) atom to form distorted OLiCr2B tetrahedra that share corners with two equivalent O(13)Cr4 tetrahedra, corners with two equivalent O(3)Li2CrB tetrahedra, corners with two equivalent O(7)LiCr2B tetrahedra, and edges with two equivalent O(9)Li3CrB trigonal bipyramids. In the eighth O site, O(8) is bonded to one Cr(3) and three equivalent Cr(1) atoms to form OCr4 tetrahedra that share corners with two equivalent O(8)Cr4 tetrahedra, corners with three equivalent O(10)Li3CrB trigonal bipyramids, and edges with two equivalent O(8)Cr4 tetrahedra. In the ninth O site, O(9) is bonded to one Li(2), two equivalent Li(1), one Cr(5), and one B(3) atom to form distorted OLi3CrB trigonal bipyramids that share  a cornercorner with one O(13)Cr4 tetrahedra, corners with two equivalent O(3)Li2CrB tetrahedra, corners with two equivalent O(10)Li3CrB trigonal bipyramids, corners with two equivalent O(9)Li3CrB trigonal bipyramids,  an edgeedge with one O(3)Li2CrB tetrahedra, edges with two equivalent O(7)LiCr2B tetrahedra, and  an edgeedge with one O(10)Li3CrB trigonal bipyramid. In the tenth O site, O(10) is bonded to three equivalent Li(2), one Cr(1), and one B(3) atom to form distorted OLi3CrB trigonal bipyramids that share corners with three equivalent O(8)Cr4 tetrahedra, corners with two equivalent O(10)Li3CrB trigonal bipyramids, corners with two equivalent O(9)Li3CrB trigonal bipyramids,  an edgeedge with one O(9)Li3CrB trigonal bipyramid, and edges with two equivalent O(10)Li3CrB trigonal bipyramids. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Cr(1), two equivalent Cr(3), and one B(3) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Cr(3) and two equivalent Cr(5) atoms. In the thirteenth O site, O(13) is bonded to one Cr(5) and three equivalent Cr(4) atoms to form OCr4 tetrahedra that share corners with two equivalent O(13)Cr4 tetrahedra, corners with two equivalent O(7)LiCr2B tetrahedra,  a cornercorner with one O(9)Li3CrB trigonal bipyramid, and edges with two equivalent O(13)Cr4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2Cr5B3O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.103
_cell_length_b   9.515
_cell_length_c   15.837
_cell_angle_alpha   74.312
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   450.251
_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  0.250  0.518  0.762  1.0
  Li  Li1  1  0.750  0.435  0.949  1.0
  Li  Li2  1  0.250  0.565  0.051  1.0
  Li  Li3  1  0.750  0.482  0.238  1.0
  Cr  Cr4  1  0.250  0.149  0.985  1.0
  Cr  Cr5  1  0.250  0.666  0.377  1.0
  Cr  Cr6  1  0.750  0.021  0.183  1.0
  Cr  Cr7  1  0.750  0.894  0.455  1.0
  Cr  Cr8  1  0.750  0.805  0.687  1.0
  Cr  Cr9  1  0.250  0.195  0.313  1.0
  Cr  Cr10  1  0.250  0.106  0.545  1.0
  Cr  Cr11  1  0.250  0.979  0.817  1.0
  Cr  Cr12  1  0.750  0.334  0.623  1.0
  Cr  Cr13  1  0.750  0.851  0.015  1.0
  B  B14  1  0.750  0.253  0.813  1.0
  B  B15  1  0.250  0.630  0.578  1.0
  B  B16  1  0.750  0.697  0.881  1.0
  B  B17  1  0.250  0.303  0.119  1.0
  B  B18  1  0.750  0.370  0.422  1.0
  B  B19  1  0.250  0.747  0.187  1.0
  O  O20  1  0.750  0.259  0.902  1.0
  O  O21  1  0.250  0.485  0.584  1.0
  O  O22  1  0.750  0.376  0.745  1.0
  O  O23  1  0.250  0.882  0.203  1.0
  O  O24  1  0.750  0.799  0.358  1.0
  O  O25  1  0.250  0.734  0.496  1.0
  O  O26  1  0.250  0.681  0.653  1.0
  O  O27  1  0.750  0.033  0.053  1.0
  O  O28  1  0.750  0.620  0.820  1.0
  O  O29  1  0.750  0.643  0.972  1.0
  O  O30  1  0.250  0.153  0.146  1.0
  O  O31  1  0.750  0.092  0.287  1.0
  O  O32  1  0.750  0.962  0.570  1.0
  O  O33  1  0.250  0.038  0.430  1.0
  O  O34  1  0.250  0.908  0.713  1.0
  O  O35  1  0.750  0.847  0.854  1.0
  O  O36  1  0.250  0.357  0.028  1.0
  O  O37  1  0.250  0.380  0.180  1.0
  O  O38  1  0.250  0.967  0.947  1.0
  O  O39  1  0.750  0.319  0.347  1.0
  O  O40  1  0.750  0.266  0.504  1.0
  O  O41  1  0.250  0.201  0.642  1.0
  O  O42  1  0.750  0.118  0.797  1.0
  O  O43  1  0.250  0.624  0.255  1.0
  O  O44  1  0.750  0.515  0.416  1.0
  O  O45  1  0.250  0.741  0.098  1.0
[/CIF]
.
The structure described by Li2Cr5B3O13 crystallizes in the monoclinic P2_1/m space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(7), two equivalent O(3), and two equivalent O(9) atoms to form LiO5 square pyramids that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Li(2)O5 trigonal bipyramids, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 66°. In the second Li site, Li(2) is bonded to one O(1), one O(9), and three equivalent O(10) atoms to form distorted LiO5 trigonal bipyramids that share  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Li(1)O5 square pyramids, corners with two equivalent Li(2)O5 trigonal bipyramids, and edges with two equivalent Li(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. There are five inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 7-coordinate geometry to one O(10), one O(11), two equivalent O(1), and three equivalent O(8) atoms. In the second Cr site, Cr(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O5 square pyramids, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. In the third Cr site, Cr(3) is bonded to one O(12), one O(8), two equivalent O(11), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles are 61°. In the fourth Cr site, Cr(4) is bonded to one O(5), two equivalent O(6), and three equivalent O(13) atoms to form a mixture of corner and edge-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 62-63°. In the fifth Cr site, Cr(5) is bonded to one O(13), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form distorted CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra,  a cornercorner with one Li(2)O5 trigonal bipyramid, edges with two equivalent Cr(5)O6 octahedra, and edges with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 61-63°. There are three inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(1), one O(3), and one O(4) atom. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(2), one O(6), and one O(7) atom. In the third B site, B(3) is bonded in a trigonal planar geometry to one O(10), one O(11), and one O(9) atom. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), and one B(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to two equivalent Cr(2) and one B(2) atom. In the third O site, O(3) is bonded to two equivalent Li(1), one Cr(2), and one B(1) atom to form OLi2CrB tetrahedra that share corners with two equivalent O(3)Li2CrB tetrahedra, corners with two equivalent O(7)LiCr2B tetrahedra, corners with two equivalent O(9)Li3CrB trigonal bipyramids, and  an edgeedge with one O(9)Li3CrB trigonal bipyramid. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to two equivalent Cr(3) and one B(1) atom. In the fifth O site, O(5) is bonded in a trigonal non-coplanar geometry to one Cr(4) and two equivalent Cr(2) atoms. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Cr(2), two equivalent Cr(4), and one B(2) atom. In the seventh O site, O(7) is bonded to one Li(1), two equivalent Cr(5), and one B(2) atom to form distorted OLiCr2B tetrahedra that share corners with two equivalent O(13)Cr4 tetrahedra, corners with two equivalent O(3)Li2CrB tetrahedra, corners with two equivalent O(7)LiCr2B tetrahedra, and edges with two equivalent O(9)Li3CrB trigonal bipyramids. In the eighth O site, O(8) is bonded to one Cr(3) and three equivalent Cr(1) atoms to form OCr4 tetrahedra that share corners with two equivalent O(8)Cr4 tetrahedra, corners with three equivalent O(10)Li3CrB trigonal bipyramids, and edges with two equivalent O(8)Cr4 tetrahedra. In the ninth O site, O(9) is bonded to one Li(2), two equivalent Li(1), one Cr(5), and one B(3) atom to form distorted OLi3CrB trigonal bipyramids that share  a cornercorner with one O(13)Cr4 tetrahedra, corners with two equivalent O(3)Li2CrB tetrahedra, corners with two equivalent O(10)Li3CrB trigonal bipyramids, corners with two equivalent O(9)Li3CrB trigonal bipyramids,  an edgeedge with one O(3)Li2CrB tetrahedra, edges with two equivalent O(7)LiCr2B tetrahedra, and  an edgeedge with one O(10)Li3CrB trigonal bipyramid. In the tenth O site, O(10) is bonded to three equivalent Li(2), one Cr(1), and one B(3) atom to form distorted OLi3CrB trigonal bipyramids that share corners with three equivalent O(8)Cr4 tetrahedra, corners with two equivalent O(10)Li3CrB trigonal bipyramids, corners with two equivalent O(9)Li3CrB trigonal bipyramids,  an edgeedge with one O(9)Li3CrB trigonal bipyramid, and edges with two equivalent O(10)Li3CrB trigonal bipyramids. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Cr(1), two equivalent Cr(3), and one B(3) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Cr(3) and two equivalent Cr(5) atoms. In the thirteenth O site, O(13) is bonded to one Cr(5) and three equivalent Cr(4) atoms to form OCr4 tetrahedra that share corners with two equivalent O(13)Cr4 tetrahedra, corners with two equivalent O(7)LiCr2B tetrahedra,  a cornercorner with one O(9)Li3CrB trigonal bipyramid, and edges with two equivalent O(13)Cr4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2Cr5B3O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.103
_cell_length_b   9.515
_cell_length_c   15.837
_cell_angle_alpha   74.312
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   450.251
_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  0.250  0.518  0.762  1.0
  Li  Li1  1  0.750  0.435  0.949  1.0
  Li  Li2  1  0.250  0.565  0.051  1.0
  Li  Li3  1  0.750  0.482  0.238  1.0
  Cr  Cr4  1  0.250  0.149  0.985  1.0
  Cr  Cr5  1  0.250  0.666  0.377  1.0
  Cr  Cr6  1  0.750  0.021  0.183  1.0
  Cr  Cr7  1  0.750  0.894  0.455  1.0
  Cr  Cr8  1  0.750  0.805  0.687  1.0
  Cr  Cr9  1  0.250  0.195  0.313  1.0
  Cr  Cr10  1  0.250  0.106  0.545  1.0
  Cr  Cr11  1  0.250  0.979  0.817  1.0
  Cr  Cr12  1  0.750  0.334  0.623  1.0
  Cr  Cr13  1  0.750  0.851  0.015  1.0
  B  B14  1  0.750  0.253  0.813  1.0
  B  B15  1  0.250  0.630  0.578  1.0
  B  B16  1  0.750  0.697  0.881  1.0
  B  B17  1  0.250  0.303  0.119  1.0
  B  B18  1  0.750  0.370  0.422  1.0
  B  B19  1  0.250  0.747  0.187  1.0
  O  O20  1  0.750  0.259  0.902  1.0
  O  O21  1  0.250  0.485  0.584  1.0
  O  O22  1  0.750  0.376  0.745  1.0
  O  O23  1  0.250  0.882  0.203  1.0
  O  O24  1  0.750  0.799  0.358  1.0
  O  O25  1  0.250  0.734  0.496  1.0
  O  O26  1  0.250  0.681  0.653  1.0
  O  O27  1  0.750  0.033  0.053  1.0
  O  O28  1  0.750  0.620  0.820  1.0
  O  O29  1  0.750  0.643  0.972  1.0
  O  O30  1  0.250  0.153  0.146  1.0
  O  O31  1  0.750  0.092  0.287  1.0
  O  O32  1  0.750  0.962  0.570  1.0
  O  O33  1  0.250  0.038  0.430  1.0
  O  O34  1  0.250  0.908  0.713  1.0
  O  O35  1  0.750  0.847  0.854  1.0
  O  O36  1  0.250  0.357  0.028  1.0
  O  O37  1  0.250  0.380  0.180  1.0
  O  O38  1  0.250  0.967  0.947  1.0
  O  O39  1  0.750  0.319  0.347  1.0
  O  O40  1  0.750  0.266  0.504  1.0
  O  O41  1  0.250  0.201  0.642  1.0
  O  O42  1  0.750  0.118  0.797  1.0
  O  O43  1  0.250  0.624  0.255  1.0
  O  O44  1  0.750  0.515  0.416  1.0
  O  O45  1  0.250  0.741  0.098  1.0
[/CIF]
.