The structure described by Li4Mn(WO4)3 crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(22), one O(24), one O(5), one O(7), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(21), one O(23), one O(6), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. In the third Li site, Li(3) is bonded in a 4-coordinate geometry to one O(12), one O(21), one O(24), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a 4-coordinate geometry to one O(10), one O(11), one O(22), and one O(23) atom. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(1), one O(14), one O(15), and one O(4) atom. In the sixth Li site, Li(6) is bonded in a 4-coordinate geometry to one O(13), one O(16), one O(2), and one O(3) atom. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(15), one O(17), one O(19), and one O(3) atom. In the eighth Li site, Li(8) is bonded in a 6-coordinate geometry to one O(14), one O(16), one O(18), one O(2), one O(20), and one O(4) atom. There are six inequivalent W sites. In the first W site, W(1) is bonded to one O(13), one O(15), one O(21), one O(23), one O(5), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(6)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the second W site, W(2) is bonded to one O(14), one O(16), one O(22), one O(24), one O(6), and one O(8) atom to form WO6 octahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(6)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the third W site, W(3) is bonded to one O(12), one O(17), one O(20), one O(22), one O(23), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 44°. In the fourth W site, W(4) is bonded to one O(1), one O(13), one O(16), one O(4), one O(5), and one O(8) atom to form distorted WO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the fifth W site, W(5) is bonded to one O(14), one O(15), one O(2), one O(3), one O(6), and one O(7) atom to form distorted WO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the sixth W site, W(6) is bonded to one O(10), one O(11), one O(18), one O(19), one O(21), and one O(24) atom to form WO6 octahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(12), one O(18), one O(20), and one O(3) atom to form MnO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(6)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Mn site, Mn(2) is bonded to one O(11), one O(17), one O(19), one O(2), one O(4), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(6)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(7), one W(4), and one Mn(1) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the second O site, O(2) is bonded to one Li(6), one Li(8), one W(5), and one Mn(2) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the third O site, O(3) is bonded to one Li(6), one Li(7), one W(5), and one Mn(1) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(5), one Li(8), one W(4), and one Mn(2) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Li(1), one W(1), and one W(4) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Li(2), one W(2), and one W(5) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Li(1), one W(1), and one W(5) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Li(2), one W(2), and one W(4) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Li(1), one Li(3), one W(3), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Li(2), one Li(4), one W(6), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(6), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(2), one Li(3), one W(3), and one Mn(1) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Li(6), one Li(7), one W(1), and one W(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Li(5), one Li(8), one W(2), and one W(5) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(5), one Li(7), one W(1), and one W(5) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(6), one Li(8), one W(2), and one W(4) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal planar geometry to one Li(7), one W(3), and one Mn(2) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal planar geometry to one Li(8), one W(6), and one Mn(1) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Li(7), one W(6), and one Mn(2) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Li(8), one W(3), and one Mn(1) atom. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Li(2), one Li(3), one W(1), and one W(6) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(2), and one W(3) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Li(2), one Li(4), one W(1), and one W(3) atom. In the twenty-fourth O site, O(24) is bonded in a 4-coordinate geometry to one Li(1), one Li(3), one W(2), and one W(6) atom. is represented by the CIF file [CIF]
data_Li4Mn(WO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.050
_cell_length_b   5.156
_cell_length_c   8.889
_cell_angle_alpha   90.020
_cell_angle_beta   90.017
_cell_angle_gamma   88.621
_symmetry_Int_Tables_number   1
_cell_volume   231.367
_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  0.000  0.999  0.288  1.0
  Li  Li1  1  0.500  1.000  0.166  1.0
  Li  Li2  1  0.000  0.500  0.658  1.0
  Li  Li3  1  0.500  0.500  0.805  1.0
  Mn  Mn4  1  1.000  0.000  0.896  1.0
  O  O5  1  0.265  0.160  0.732  1.0
  O  O6  1  0.735  0.840  0.732  1.0
  O  O7  1  0.303  0.187  0.419  1.0
  O  O8  1  0.698  0.813  0.420  1.0
  O  O9  1  0.192  0.187  0.101  1.0
  O  O10  1  0.809  0.813  0.101  1.0
  O  O11  1  0.703  0.315  0.566  1.0
  O  O12  1  0.296  0.686  0.566  1.0
  O  O13  1  0.777  0.353  0.927  1.0
  O  O14  1  0.222  0.648  0.927  1.0
  O  O15  1  0.744  0.355  0.251  1.0
  O  O16  1  0.255  0.645  0.251  1.0
  W  W17  1  0.500  0.500  0.387  1.0
  W  W18  1  0.000  0.500  0.068  1.0
  W  W19  1  0.500  1.000  0.600  1.0
[/CIF]
.
The structure described by Li4Mn(WO4)3 crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(22), one O(24), one O(5), one O(7), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(21), one O(23), one O(6), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. In the third Li site, Li(3) is bonded in a 4-coordinate geometry to one O(12), one O(21), one O(24), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a 4-coordinate geometry to one O(10), one O(11), one O(22), and one O(23) atom. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(1), one O(14), one O(15), and one O(4) atom. In the sixth Li site, Li(6) is bonded in a 4-coordinate geometry to one O(13), one O(16), one O(2), and one O(3) atom. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(15), one O(17), one O(19), and one O(3) atom. In the eighth Li site, Li(8) is bonded in a 6-coordinate geometry to one O(14), one O(16), one O(18), one O(2), one O(20), and one O(4) atom. There are six inequivalent W sites. In the first W site, W(1) is bonded to one O(13), one O(15), one O(21), one O(23), one O(5), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(6)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the second W site, W(2) is bonded to one O(14), one O(16), one O(22), one O(24), one O(6), and one O(8) atom to form WO6 octahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(6)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the third W site, W(3) is bonded to one O(12), one O(17), one O(20), one O(22), one O(23), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 44°. In the fourth W site, W(4) is bonded to one O(1), one O(13), one O(16), one O(4), one O(5), and one O(8) atom to form distorted WO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the fifth W site, W(5) is bonded to one O(14), one O(15), one O(2), one O(3), one O(6), and one O(7) atom to form distorted WO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the sixth W site, W(6) is bonded to one O(10), one O(11), one O(18), one O(19), one O(21), and one O(24) atom to form WO6 octahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(12), one O(18), one O(20), and one O(3) atom to form MnO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(6)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Mn site, Mn(2) is bonded to one O(11), one O(17), one O(19), one O(2), one O(4), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one W(4)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one W(3)O6 octahedra, and  an edgeedge with one W(6)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(7), one W(4), and one Mn(1) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the second O site, O(2) is bonded to one Li(6), one Li(8), one W(5), and one Mn(2) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the third O site, O(3) is bonded to one Li(6), one Li(7), one W(5), and one Mn(1) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(5), one Li(8), one W(4), and one Mn(2) atom to form distorted corner-sharing OLi2MnW trigonal pyramids. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Li(1), one W(1), and one W(4) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Li(2), one W(2), and one W(5) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Li(1), one W(1), and one W(5) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Li(2), one W(2), and one W(4) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Li(1), one Li(3), one W(3), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Li(2), one Li(4), one W(6), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(6), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(2), one Li(3), one W(3), and one Mn(1) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Li(6), one Li(7), one W(1), and one W(4) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Li(5), one Li(8), one W(2), and one W(5) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(5), one Li(7), one W(1), and one W(5) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(6), one Li(8), one W(2), and one W(4) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal planar geometry to one Li(7), one W(3), and one Mn(2) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal planar geometry to one Li(8), one W(6), and one Mn(1) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Li(7), one W(6), and one Mn(2) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Li(8), one W(3), and one Mn(1) atom. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Li(2), one Li(3), one W(1), and one W(6) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Li(1), one Li(4), one W(2), and one W(3) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Li(2), one Li(4), one W(1), and one W(3) atom. In the twenty-fourth O site, O(24) is bonded in a 4-coordinate geometry to one Li(1), one Li(3), one W(2), and one W(6) atom. is represented by the CIF file [CIF]
data_Li4Mn(WO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.050
_cell_length_b   5.156
_cell_length_c   8.889
_cell_angle_alpha   90.020
_cell_angle_beta   90.017
_cell_angle_gamma   88.621
_symmetry_Int_Tables_number   1
_cell_volume   231.367
_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  0.000  0.999  0.288  1.0
  Li  Li1  1  0.500  1.000  0.166  1.0
  Li  Li2  1  0.000  0.500  0.658  1.0
  Li  Li3  1  0.500  0.500  0.805  1.0
  Mn  Mn4  1  1.000  0.000  0.896  1.0
  O  O5  1  0.265  0.160  0.732  1.0
  O  O6  1  0.735  0.840  0.732  1.0
  O  O7  1  0.303  0.187  0.419  1.0
  O  O8  1  0.698  0.813  0.420  1.0
  O  O9  1  0.192  0.187  0.101  1.0
  O  O10  1  0.809  0.813  0.101  1.0
  O  O11  1  0.703  0.315  0.566  1.0
  O  O12  1  0.296  0.686  0.566  1.0
  O  O13  1  0.777  0.353  0.927  1.0
  O  O14  1  0.222  0.648  0.927  1.0
  O  O15  1  0.744  0.355  0.251  1.0
  O  O16  1  0.255  0.645  0.251  1.0
  W  W17  1  0.500  0.500  0.387  1.0
  W  W18  1  0.000  0.500  0.068  1.0
  W  W19  1  0.500  1.000  0.600  1.0
[/CIF]
.