The crystal structure described by Li4Mn(WO4)3 crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(4), one O(7), one O(8), and one O(9) atom. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(10), one O(12), one O(2), one O(3), one O(5), and one O(6) atom. In the third Li site, Li(3) is bonded in a trigonal planar geometry to one O(5), one O(6), and one O(9) atom. In the fourth Li site, Li(4) is bonded to one O(1), one O(11), one O(12), one O(3), one O(4), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent W(1)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, edges with two equivalent W(2)O6 octahedra, and  a faceface with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. There are three inequivalent W sites. In the first W site, W(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(8) atom to form WO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent W(2)O6 octahedra, and corners with four equivalent W(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-63°. In the second W site, W(2) is bonded to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom to form WO6 octahedra that share corners with two equivalent W(1)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-43°. In the third W site, W(3) is bonded to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form WO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, and  an edgeedge with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-43°. Mn(1) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with four equivalent W(2)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-65°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(4), one W(2), and one Mn(1) atom to form a mixture of distorted corner and edge-sharing OLi2MnW trigonal pyramids. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(2), one W(1), and one W(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Li(2), one Li(4), one W(1), and one W(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(2), and one Mn(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one W(1), and one W(3) atom to form a mixture of distorted corner and edge-sharing OLi2W2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one W(3), and one Mn(1) atom to form distorted OLi2MnW tetrahedra that share  a cornercorner with one O(1)Li2MnW trigonal pyramid,  a cornercorner with one O(5)Li2W2 trigonal pyramid, corners with two equivalent O(7)Li2MnW trigonal pyramids, corners with two equivalent O(9)Li2MnW trigonal pyramids, and  an edgeedge with one O(5)Li2W2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(1), one Li(4), one W(3), and one Mn(1) atom to form distorted OLi2MnW trigonal pyramids that share corners with two equivalent O(6)Li2MnW tetrahedra,  a cornercorner with one O(5)Li2W2 trigonal pyramid, corners with three equivalent O(1)Li2MnW trigonal pyramids, and  an edgeedge with one O(9)Li2MnW trigonal pyramid. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Li(1), one W(1), and one W(3) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one W(2), and one Mn(1) atom to form OLi2MnW trigonal pyramids that share corners with two equivalent O(6)Li2MnW tetrahedra,  a cornercorner with one O(1)Li2MnW trigonal pyramid,  a cornercorner with one O(5)Li2W2 trigonal pyramid,  an edgeedge with one O(1)Li2MnW trigonal pyramid, and  an edgeedge with one O(7)Li2MnW trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Li(2), one W(1), and one W(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(1), and one W(2) atom. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Li(2), one Li(4), one W(2), and one Mn(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn(WO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.210
_cell_length_b   5.541
_cell_length_c   7.658
_cell_angle_alpha   94.519
_cell_angle_beta   90.282
_cell_angle_gamma   90.117
_symmetry_Int_Tables_number   1
_cell_volume   220.368
_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  0.997  0.437  0.317  1.0
  Li  Li1  1  0.505  0.906  0.764  1.0
  Li  Li2  1  0.005  0.517  0.728  1.0
  Li  Li3  1  0.490  0.906  0.316  1.0
  Mn  Mn4  1  0.500  0.489  0.497  1.0
  W  W5  1  1.000  0.986  0.012  1.0
  W  W6  1  0.009  0.005  0.515  1.0
  W  W7  1  0.497  0.476  0.998  1.0
  O  O8  1  0.289  0.180  0.424  1.0
  O  O9  1  0.123  0.003  0.758  1.0
  O  O10  1  0.297  0.810  0.060  1.0
  O  O11  1  0.179  0.714  0.433  1.0
  O  O12  1  0.803  0.708  0.929  1.0
  O  O13  1  0.382  0.532  0.771  1.0
  O  O14  1  0.630  0.530  0.223  1.0
  O  O15  1  0.194  0.303  0.057  1.0
  O  O16  1  0.839  0.312  0.548  1.0
  O  O17  1  0.693  0.195  0.933  1.0
  O  O18  1  0.872  0.013  0.238  1.0
  O  O19  1  0.698  0.837  0.550  1.0
[/CIF]
.
The crystal structure described by Li4Mn(WO4)3 crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(4), one O(7), one O(8), and one O(9) atom. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(10), one O(12), one O(2), one O(3), one O(5), and one O(6) atom. In the third Li site, Li(3) is bonded in a trigonal planar geometry to one O(5), one O(6), and one O(9) atom. In the fourth Li site, Li(4) is bonded to one O(1), one O(11), one O(12), one O(3), one O(4), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent W(1)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, edges with two equivalent W(2)O6 octahedra, and  a faceface with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. There are three inequivalent W sites. In the first W site, W(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(8) atom to form WO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent W(2)O6 octahedra, and corners with four equivalent W(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-63°. In the second W site, W(2) is bonded to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom to form WO6 octahedra that share corners with two equivalent W(1)O6 octahedra, corners with four equivalent Mn(1)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-43°. In the third W site, W(3) is bonded to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form WO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, and  an edgeedge with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-43°. Mn(1) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with four equivalent W(2)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-65°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(4), one W(2), and one Mn(1) atom to form a mixture of distorted corner and edge-sharing OLi2MnW trigonal pyramids. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(2), one W(1), and one W(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Li(2), one Li(4), one W(1), and one W(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(2), and one Mn(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one W(1), and one W(3) atom to form a mixture of distorted corner and edge-sharing OLi2W2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one W(3), and one Mn(1) atom to form distorted OLi2MnW tetrahedra that share  a cornercorner with one O(1)Li2MnW trigonal pyramid,  a cornercorner with one O(5)Li2W2 trigonal pyramid, corners with two equivalent O(7)Li2MnW trigonal pyramids, corners with two equivalent O(9)Li2MnW trigonal pyramids, and  an edgeedge with one O(5)Li2W2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(1), one Li(4), one W(3), and one Mn(1) atom to form distorted OLi2MnW trigonal pyramids that share corners with two equivalent O(6)Li2MnW tetrahedra,  a cornercorner with one O(5)Li2W2 trigonal pyramid, corners with three equivalent O(1)Li2MnW trigonal pyramids, and  an edgeedge with one O(9)Li2MnW trigonal pyramid. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Li(1), one W(1), and one W(3) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one W(2), and one Mn(1) atom to form OLi2MnW trigonal pyramids that share corners with two equivalent O(6)Li2MnW tetrahedra,  a cornercorner with one O(1)Li2MnW trigonal pyramid,  a cornercorner with one O(5)Li2W2 trigonal pyramid,  an edgeedge with one O(1)Li2MnW trigonal pyramid, and  an edgeedge with one O(7)Li2MnW trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Li(2), one W(1), and one W(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(1), and one W(2) atom. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Li(2), one Li(4), one W(2), and one Mn(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn(WO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.210
_cell_length_b   5.541
_cell_length_c   7.658
_cell_angle_alpha   94.519
_cell_angle_beta   90.282
_cell_angle_gamma   90.117
_symmetry_Int_Tables_number   1
_cell_volume   220.368
_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  0.997  0.437  0.317  1.0
  Li  Li1  1  0.505  0.906  0.764  1.0
  Li  Li2  1  0.005  0.517  0.728  1.0
  Li  Li3  1  0.490  0.906  0.316  1.0
  Mn  Mn4  1  0.500  0.489  0.497  1.0
  W  W5  1  1.000  0.986  0.012  1.0
  W  W6  1  0.009  0.005  0.515  1.0
  W  W7  1  0.497  0.476  0.998  1.0
  O  O8  1  0.289  0.180  0.424  1.0
  O  O9  1  0.123  0.003  0.758  1.0
  O  O10  1  0.297  0.810  0.060  1.0
  O  O11  1  0.179  0.714  0.433  1.0
  O  O12  1  0.803  0.708  0.929  1.0
  O  O13  1  0.382  0.532  0.771  1.0
  O  O14  1  0.630  0.530  0.223  1.0
  O  O15  1  0.194  0.303  0.057  1.0
  O  O16  1  0.839  0.312  0.548  1.0
  O  O17  1  0.693  0.195  0.933  1.0
  O  O18  1  0.872  0.013  0.238  1.0
  O  O19  1  0.698  0.837  0.550  1.0
[/CIF]
.