The structure described by LiK2In(MoO4)3 crystallizes in the monoclinic P2_1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(12), one O(2), one O(5), one O(6), one O(7), and one O(9) atom. In the second K site, K(2) is bonded in a distorted pentagonal planar geometry to one O(1), one O(11), one O(4), one O(5), and one O(9) atom. Li(1) is bonded to one O(10), one O(2), one O(3), one O(6), and one O(8) atom to form distorted LiO5 square pyramids that share  a cornercorner with one Mo(3)O4 tetrahedra, corners with two equivalent Mo(1)O4 tetrahedra, corners with two equivalent Mo(2)O4 tetrahedra, and  an edgeedge with one In(1)O6 octahedra. There are three inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form MoO4 tetrahedra that share corners with two equivalent In(1)O6 octahedra and corners with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 42-46°. In the second Mo site, Mo(2) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form MoO4 tetrahedra that share corners with two equivalent In(1)O6 octahedra and corners with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 34-41°. In the third Mo site, Mo(3) is bonded to one O(10), one O(11), one O(12), and one O(9) atom to form MoO4 tetrahedra that share corners with two equivalent In(1)O6 octahedra and  a cornercorner with one Li(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 51-53°. In(1) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form InO6 octahedra that share corners with two equivalent Mo(1)O4 tetrahedra, corners with two equivalent Mo(2)O4 tetrahedra, corners with two equivalent Mo(3)O4 tetrahedra, and  an edgeedge with one Li(1)O5 square pyramid. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one K(1), one K(2), and one Mo(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(1), one Li(1), and one Mo(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Li(1), one Mo(1), and one In(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(2), one Mo(1), and one In(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(1), one K(2), and one Mo(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one K(1), one Li(1), and one Mo(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one K(1), one Mo(2), and one In(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Li(1), one Mo(2), and one In(1) atom. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one K(1), one K(2), and one Mo(3) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one K(1), one Li(1), and one Mo(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one K(2), one Mo(3), and one In(1) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one K(1), one Mo(3), and one In(1) atom. is represented by the CIF card [CIF]
data_K2LiIn(MoO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.433
_cell_length_b   7.152
_cell_length_c   10.353
_cell_angle_alpha   72.506
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   666.098
_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
  K  K0  1  0.502  0.160  0.203  1.0
  K  K1  1  0.002  0.840  0.797  1.0
  K  K2  1  0.007  0.454  0.580  1.0
  K  K3  1  0.507  0.546  0.420  1.0
  Li  Li4  1  0.351  0.950  0.871  1.0
  Li  Li5  1  0.851  0.050  0.129  1.0
  In  In6  1  0.595  0.722  0.739  1.0
  In  In7  1  0.095  0.278  0.261  1.0
  Mo  Mo8  1  0.171  0.804  0.188  1.0
  Mo  Mo9  1  0.671  0.196  0.812  1.0
  Mo  Mo10  1  0.785  0.572  0.079  1.0
  Mo  Mo11  1  0.285  0.428  0.921  1.0
  Mo  Mo12  1  0.287  0.952  0.542  1.0
  Mo  Mo13  1  0.787  0.048  0.458  1.0
  O  O14  1  0.342  0.832  0.249  1.0
  O  O15  1  0.842  0.168  0.751  1.0
  O  O16  1  0.192  0.824  0.014  1.0
  O  O17  1  0.692  0.176  0.986  1.0
  O  O18  1  0.064  0.010  0.206  1.0
  O  O19  1  0.564  0.990  0.794  1.0
  O  O20  1  0.106  0.564  0.291  1.0
  O  O21  1  0.606  0.436  0.709  1.0
  O  O22  1  0.626  0.529  0.173  1.0
  O  O23  1  0.126  0.471  0.827  1.0
  O  O24  1  0.870  0.784  0.097  1.0
  O  O25  1  0.370  0.216  0.903  1.0
  O  O26  1  0.750  0.623  0.899  1.0
  O  O27  1  0.250  0.377  0.101  1.0
  O  O28  1  0.903  0.359  0.141  1.0
  O  O29  1  0.403  0.641  0.859  1.0
  O  O30  1  0.154  0.786  0.531  1.0
  O  O31  1  0.654  0.214  0.469  1.0
  O  O32  1  0.250  0.024  0.688  1.0
  O  O33  1  0.750  0.976  0.312  1.0
  O  O34  1  0.460  0.830  0.558  1.0
  O  O35  1  0.960  0.170  0.442  1.0
  O  O36  1  0.279  0.171  0.393  1.0
  O  O37  1  0.779  0.829  0.607  1.0
[/CIF]
.
The structure described by LiK2In(MoO4)3 crystallizes in the monoclinic P2_1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(12), one O(2), one O(5), one O(6), one O(7), and one O(9) atom. In the second K site, K(2) is bonded in a distorted pentagonal planar geometry to one O(1), one O(11), one O(4), one O(5), and one O(9) atom. Li(1) is bonded to one O(10), one O(2), one O(3), one O(6), and one O(8) atom to form distorted LiO5 square pyramids that share  a cornercorner with one Mo(3)O4 tetrahedra, corners with two equivalent Mo(1)O4 tetrahedra, corners with two equivalent Mo(2)O4 tetrahedra, and  an edgeedge with one In(1)O6 octahedra. There are three inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form MoO4 tetrahedra that share corners with two equivalent In(1)O6 octahedra and corners with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 42-46°. In the second Mo site, Mo(2) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form MoO4 tetrahedra that share corners with two equivalent In(1)O6 octahedra and corners with two equivalent Li(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 34-41°. In the third Mo site, Mo(3) is bonded to one O(10), one O(11), one O(12), and one O(9) atom to form MoO4 tetrahedra that share corners with two equivalent In(1)O6 octahedra and  a cornercorner with one Li(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 51-53°. In(1) is bonded to one O(11), one O(12), one O(3), one O(4), one O(7), and one O(8) atom to form InO6 octahedra that share corners with two equivalent Mo(1)O4 tetrahedra, corners with two equivalent Mo(2)O4 tetrahedra, corners with two equivalent Mo(3)O4 tetrahedra, and  an edgeedge with one Li(1)O5 square pyramid. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one K(1), one K(2), and one Mo(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(1), one Li(1), and one Mo(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Li(1), one Mo(1), and one In(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(2), one Mo(1), and one In(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(1), one K(2), and one Mo(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one K(1), one Li(1), and one Mo(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one K(1), one Mo(2), and one In(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Li(1), one Mo(2), and one In(1) atom. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one K(1), one K(2), and one Mo(3) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one K(1), one Li(1), and one Mo(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one K(2), one Mo(3), and one In(1) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one K(1), one Mo(3), and one In(1) atom. is represented by the CIF card [CIF]
data_K2LiIn(MoO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.433
_cell_length_b   7.152
_cell_length_c   10.353
_cell_angle_alpha   72.506
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   666.098
_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
  K  K0  1  0.502  0.160  0.203  1.0
  K  K1  1  0.002  0.840  0.797  1.0
  K  K2  1  0.007  0.454  0.580  1.0
  K  K3  1  0.507  0.546  0.420  1.0
  Li  Li4  1  0.351  0.950  0.871  1.0
  Li  Li5  1  0.851  0.050  0.129  1.0
  In  In6  1  0.595  0.722  0.739  1.0
  In  In7  1  0.095  0.278  0.261  1.0
  Mo  Mo8  1  0.171  0.804  0.188  1.0
  Mo  Mo9  1  0.671  0.196  0.812  1.0
  Mo  Mo10  1  0.785  0.572  0.079  1.0
  Mo  Mo11  1  0.285  0.428  0.921  1.0
  Mo  Mo12  1  0.287  0.952  0.542  1.0
  Mo  Mo13  1  0.787  0.048  0.458  1.0
  O  O14  1  0.342  0.832  0.249  1.0
  O  O15  1  0.842  0.168  0.751  1.0
  O  O16  1  0.192  0.824  0.014  1.0
  O  O17  1  0.692  0.176  0.986  1.0
  O  O18  1  0.064  0.010  0.206  1.0
  O  O19  1  0.564  0.990  0.794  1.0
  O  O20  1  0.106  0.564  0.291  1.0
  O  O21  1  0.606  0.436  0.709  1.0
  O  O22  1  0.626  0.529  0.173  1.0
  O  O23  1  0.126  0.471  0.827  1.0
  O  O24  1  0.870  0.784  0.097  1.0
  O  O25  1  0.370  0.216  0.903  1.0
  O  O26  1  0.750  0.623  0.899  1.0
  O  O27  1  0.250  0.377  0.101  1.0
  O  O28  1  0.903  0.359  0.141  1.0
  O  O29  1  0.403  0.641  0.859  1.0
  O  O30  1  0.154  0.786  0.531  1.0
  O  O31  1  0.654  0.214  0.469  1.0
  O  O32  1  0.250  0.024  0.688  1.0
  O  O33  1  0.750  0.976  0.312  1.0
  O  O34  1  0.460  0.830  0.558  1.0
  O  O35  1  0.960  0.170  0.442  1.0
  O  O36  1  0.279  0.171  0.393  1.0
  O  O37  1  0.779  0.829  0.607  1.0
[/CIF]
.