The structure described by Li7Cr3(WO8)2 is Hausmannite-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Li site, Li(2) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-69°. In the third Li site, Li(3) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-66°. In the fourth Li site, Li(4) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-69°. In the fifth Li site, Li(5) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 46°. In the sixth Li site, Li(6) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent W(1)O6 octahedra, and corners with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-68°. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Li(5)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra, corners with three equivalent Li(4)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-53°. In the second W site, W(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted WO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Li(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form distorted CrO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one W(1)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(4), one Li(5), one W(1), and one Cr(2) atom. In the second O site, O(2) is bonded to one Li(6), two equivalent Li(1), and one W(1) atom to form distorted OLi3W tetrahedra that share corners with two equivalent O(4)Li3Cr tetrahedra,  a cornercorner with one O(10)Li2Cr2 trigonal pyramid, corners with two equivalent O(6)Li2CrW trigonal pyramids, and edges with two equivalent O(6)Li2CrW trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Li(1), and one Cr(1) atom. In the fourth O site, O(4) is bonded to one Li(4), two equivalent Li(1), and one Cr(1) atom to form OLi3Cr tetrahedra that share corners with two equivalent O(2)Li3W tetrahedra and corners with four equivalent O(6)Li2CrW trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(3), one Li(5), and two equivalent Cr(2) atoms to form OLi2Cr2 tetrahedra that share corners with four equivalent O(9)Li2CrW tetrahedra, corners with two equivalent O(12)LiCr2W trigonal pyramids, and corners with three equivalent O(10)Li2Cr2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(6), one W(1), and one Cr(1) atom to form distorted OLi2CrW trigonal pyramids that share  a cornercorner with one O(2)Li3W tetrahedra, corners with two equivalent O(4)Li3Cr tetrahedra,  a cornercorner with one O(10)Li2Cr2 trigonal pyramid,  a cornercorner with one O(6)Li2CrW trigonal pyramid,  an edgeedge with one O(2)Li3W tetrahedra, and  an edgeedge with one O(6)Li2CrW trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Li(1), and one W(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(4), one W(1), and two equivalent Cr(2) atoms. In the ninth O site, O(9) is bonded to one Li(2), one Li(5), one W(2), and one Cr(2) atom to form distorted OLi2CrW tetrahedra that share  a cornercorner with one O(9)Li2CrW tetrahedra, corners with two equivalent O(5)Li2Cr2 tetrahedra,  a cornercorner with one O(12)LiCr2W trigonal pyramid,  an edgeedge with one O(9)Li2CrW tetrahedra,  an edgeedge with one O(10)Li2Cr2 trigonal pyramid, and  an edgeedge with one O(12)LiCr2W trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(5), one Li(6), and two equivalent Cr(2) atoms to form OLi2Cr2 trigonal pyramids that share  a cornercorner with one O(2)Li3W tetrahedra, corners with three equivalent O(5)Li2Cr2 tetrahedra, corners with two equivalent O(6)Li2CrW trigonal pyramids, edges with two equivalent O(9)Li2CrW tetrahedra, and  an edgeedge with one O(12)LiCr2W trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(3), one W(2), and one Cr(1) atom. In the twelfth O site, O(12) is bonded to one Li(2), one W(2), and two equivalent Cr(2) atoms to form distorted OLiCr2W trigonal pyramids that share corners with two equivalent O(5)Li2Cr2 tetrahedra, corners with two equivalent O(9)Li2CrW tetrahedra, edges with two equivalent O(9)Li2CrW tetrahedra, and  an edgeedge with one O(10)Li2Cr2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li7Cr3(WO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.912
_cell_length_b   5.912
_cell_length_c   9.688
_cell_angle_alpha   89.742
_cell_angle_beta   89.742
_cell_angle_gamma   59.718
_symmetry_Int_Tables_number   1
_cell_volume   292.374
_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  0.338  0.830  0.790  1.0
  Li  Li1  1  0.668  0.668  0.098  1.0
  Li  Li2  1  1.000  1.000  0.004  1.0
  Li  Li3  1  0.995  0.995  0.512  1.0
  Li  Li4  1  0.830  0.338  0.790  1.0
  Li  Li5  1  0.165  0.165  0.291  1.0
  Li  Li6  1  0.336  0.336  0.597  1.0
  Cr  Cr7  1  0.820  0.820  0.764  1.0
  Cr  Cr8  1  0.157  0.653  0.280  1.0
  Cr  Cr9  1  0.653  0.157  0.280  1.0
  W  W10  1  0.647  0.647  0.512  1.0
  W  W11  1  0.335  0.335  0.004  1.0
  O  O12  1  0.336  0.826  0.410  1.0
  O  O13  1  0.518  0.518  0.645  1.0
  O  O14  1  0.700  0.700  0.887  1.0
  O  O15  1  0.980  0.980  0.706  1.0
  O  O16  1  0.992  0.992  0.201  1.0
  O  O17  1  0.826  0.336  0.410  1.0
  O  O18  1  0.537  0.961  0.645  1.0
  O  O19  1  0.961  0.537  0.645  1.0
  O  O20  1  0.174  0.174  0.925  1.0
  O  O21  1  0.826  0.826  0.399  1.0
  O  O22  1  0.042  0.498  0.159  1.0
  O  O23  1  0.498  0.042  0.159  1.0
  O  O24  1  0.353  0.353  0.390  1.0
  O  O25  1  0.175  0.655  0.914  1.0
  O  O26  1  0.480  0.480  0.159  1.0
  O  O27  1  0.655  0.175  0.914  1.0
[/CIF]
.
The structure described by Li7Cr3(WO8)2 is Hausmannite-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Li site, Li(2) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-69°. In the third Li site, Li(3) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-66°. In the fourth Li site, Li(4) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-69°. In the fifth Li site, Li(5) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 46°. In the sixth Li site, Li(6) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent W(1)O6 octahedra, and corners with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-68°. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Li(5)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra, corners with three equivalent Li(4)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-53°. In the second W site, W(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted WO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Li(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form distorted CrO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(6)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid,  an edgeedge with one W(1)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Li(6)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(4), one Li(5), one W(1), and one Cr(2) atom. In the second O site, O(2) is bonded to one Li(6), two equivalent Li(1), and one W(1) atom to form distorted OLi3W tetrahedra that share corners with two equivalent O(4)Li3Cr tetrahedra,  a cornercorner with one O(10)Li2Cr2 trigonal pyramid, corners with two equivalent O(6)Li2CrW trigonal pyramids, and edges with two equivalent O(6)Li2CrW trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Li(1), and one Cr(1) atom. In the fourth O site, O(4) is bonded to one Li(4), two equivalent Li(1), and one Cr(1) atom to form OLi3Cr tetrahedra that share corners with two equivalent O(2)Li3W tetrahedra and corners with four equivalent O(6)Li2CrW trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(3), one Li(5), and two equivalent Cr(2) atoms to form OLi2Cr2 tetrahedra that share corners with four equivalent O(9)Li2CrW tetrahedra, corners with two equivalent O(12)LiCr2W trigonal pyramids, and corners with three equivalent O(10)Li2Cr2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(6), one W(1), and one Cr(1) atom to form distorted OLi2CrW trigonal pyramids that share  a cornercorner with one O(2)Li3W tetrahedra, corners with two equivalent O(4)Li3Cr tetrahedra,  a cornercorner with one O(10)Li2Cr2 trigonal pyramid,  a cornercorner with one O(6)Li2CrW trigonal pyramid,  an edgeedge with one O(2)Li3W tetrahedra, and  an edgeedge with one O(6)Li2CrW trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Li(1), and one W(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(4), one W(1), and two equivalent Cr(2) atoms. In the ninth O site, O(9) is bonded to one Li(2), one Li(5), one W(2), and one Cr(2) atom to form distorted OLi2CrW tetrahedra that share  a cornercorner with one O(9)Li2CrW tetrahedra, corners with two equivalent O(5)Li2Cr2 tetrahedra,  a cornercorner with one O(12)LiCr2W trigonal pyramid,  an edgeedge with one O(9)Li2CrW tetrahedra,  an edgeedge with one O(10)Li2Cr2 trigonal pyramid, and  an edgeedge with one O(12)LiCr2W trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(5), one Li(6), and two equivalent Cr(2) atoms to form OLi2Cr2 trigonal pyramids that share  a cornercorner with one O(2)Li3W tetrahedra, corners with three equivalent O(5)Li2Cr2 tetrahedra, corners with two equivalent O(6)Li2CrW trigonal pyramids, edges with two equivalent O(9)Li2CrW tetrahedra, and  an edgeedge with one O(12)LiCr2W trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Li(3), one W(2), and one Cr(1) atom. In the twelfth O site, O(12) is bonded to one Li(2), one W(2), and two equivalent Cr(2) atoms to form distorted OLiCr2W trigonal pyramids that share corners with two equivalent O(5)Li2Cr2 tetrahedra, corners with two equivalent O(9)Li2CrW tetrahedra, edges with two equivalent O(9)Li2CrW tetrahedra, and  an edgeedge with one O(10)Li2Cr2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li7Cr3(WO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.912
_cell_length_b   5.912
_cell_length_c   9.688
_cell_angle_alpha   89.742
_cell_angle_beta   89.742
_cell_angle_gamma   59.718
_symmetry_Int_Tables_number   1
_cell_volume   292.374
_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  0.338  0.830  0.790  1.0
  Li  Li1  1  0.668  0.668  0.098  1.0
  Li  Li2  1  1.000  1.000  0.004  1.0
  Li  Li3  1  0.995  0.995  0.512  1.0
  Li  Li4  1  0.830  0.338  0.790  1.0
  Li  Li5  1  0.165  0.165  0.291  1.0
  Li  Li6  1  0.336  0.336  0.597  1.0
  Cr  Cr7  1  0.820  0.820  0.764  1.0
  Cr  Cr8  1  0.157  0.653  0.280  1.0
  Cr  Cr9  1  0.653  0.157  0.280  1.0
  W  W10  1  0.647  0.647  0.512  1.0
  W  W11  1  0.335  0.335  0.004  1.0
  O  O12  1  0.336  0.826  0.410  1.0
  O  O13  1  0.518  0.518  0.645  1.0
  O  O14  1  0.700  0.700  0.887  1.0
  O  O15  1  0.980  0.980  0.706  1.0
  O  O16  1  0.992  0.992  0.201  1.0
  O  O17  1  0.826  0.336  0.410  1.0
  O  O18  1  0.537  0.961  0.645  1.0
  O  O19  1  0.961  0.537  0.645  1.0
  O  O20  1  0.174  0.174  0.925  1.0
  O  O21  1  0.826  0.826  0.399  1.0
  O  O22  1  0.042  0.498  0.159  1.0
  O  O23  1  0.498  0.042  0.159  1.0
  O  O24  1  0.353  0.353  0.390  1.0
  O  O25  1  0.175  0.655  0.914  1.0
  O  O26  1  0.480  0.480  0.159  1.0
  O  O27  1  0.655  0.175  0.914  1.0
[/CIF]
.