The material described by K2Na3InO4 crystallizes in the orthorhombic Pnnm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to one O(1), one O(3), and four equivalent O(2) atoms. In the second K site, K(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form distorted KO6 octahedra that share corners with two equivalent In(1)O4 tetrahedra, corners with eight equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 trigonal pyramids, edges with two equivalent K(2)O6 octahedra, edges with two equivalent Na(1)O4 tetrahedra, edges with two equivalent In(1)O4 tetrahedra, and edges with two equivalent Na(2)O4 trigonal pyramids. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form distorted NaO4 tetrahedra that share corners with four equivalent K(2)O6 octahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent In(1)O4 tetrahedra, corners with two equivalent Na(2)O4 trigonal pyramids,  an edgeedge with one K(2)O6 octahedra,  an edgeedge with one Na(1)O4 tetrahedra,  an edgeedge with one In(1)O4 tetrahedra, and  an edgeedge with one Na(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 29-48°. In the second Na site, Na(2) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent K(2)O6 octahedra, corners with two equivalent In(1)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent K(2)O6 octahedra,  an edgeedge with one In(1)O4 tetrahedra, and edges with two equivalent Na(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. In(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form InO4 tetrahedra that share corners with two equivalent K(2)O6 octahedra, corners with four equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 trigonal pyramids, edges with two equivalent K(2)O6 octahedra, edges with two equivalent Na(1)O4 tetrahedra, and  an edgeedge with one Na(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. There are three inequivalent O sites. In the first O site, O(3) is bonded in a 7-coordinate geometry to one K(1), two equivalent K(2), one Na(2), two equivalent Na(1), and one In(1) atom. In the second O site, O(1) is bonded in a 7-coordinate geometry to one K(1), two equivalent K(2), one Na(2), two equivalent Na(1), and one In(1) atom. In the third O site, O(2) is bonded in a 7-coordinate geometry to one K(2), two equivalent K(1), one Na(2), two equivalent Na(1), and one In(1) atom. is represented by the CIF file [CIF]
data_K2Na3InO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.640
_cell_length_b   9.382
_cell_length_c   9.658
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   692.227
_cell_formula_units_Z   4
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  0.000  0.231  0.264  1.0
  K  K1  1  0.000  0.769  0.736  1.0
  K  K2  1  0.500  0.731  0.236  1.0
  K  K3  1  0.500  0.269  0.764  1.0
  K  K4  1  0.746  0.000  0.500  1.0
  K  K5  1  0.754  0.500  0.000  1.0
  K  K6  1  0.254  0.000  0.500  1.0
  K  K7  1  0.246  0.500  0.000  1.0
  Na  Na8  1  0.752  0.482  0.350  1.0
  Na  Na9  1  0.752  0.518  0.650  1.0
  Na  Na10  1  0.748  0.982  0.150  1.0
  Na  Na11  1  0.748  0.018  0.850  1.0
  Na  Na12  1  0.248  0.518  0.650  1.0
  Na  Na13  1  0.248  0.482  0.350  1.0
  Na  Na14  1  0.252  0.018  0.850  1.0
  Na  Na15  1  0.252  0.982  0.150  1.0
  Na  Na16  1  0.000  0.237  0.926  1.0
  Na  Na17  1  0.000  0.763  0.074  1.0
  Na  Na18  1  0.500  0.737  0.574  1.0
  Na  Na19  1  0.500  0.263  0.426  1.0
  In  In20  1  0.500  0.772  0.871  1.0
  In  In21  1  0.500  0.228  0.129  1.0
  In  In22  1  0.000  0.272  0.629  1.0
  In  In23  1  0.000  0.728  0.371  1.0
  O  O24  1  0.500  0.569  0.776  1.0
  O  O25  1  0.500  0.431  0.224  1.0
  O  O26  1  0.000  0.069  0.724  1.0
  O  O27  1  0.000  0.931  0.276  1.0
  O  O28  1  0.767  0.301  0.518  1.0
  O  O29  1  0.767  0.699  0.482  1.0
  O  O30  1  0.733  0.801  0.982  1.0
  O  O31  1  0.733  0.199  0.018  1.0
  O  O32  1  0.233  0.699  0.482  1.0
  O  O33  1  0.233  0.301  0.518  1.0
  O  O34  1  0.267  0.199  0.018  1.0
  O  O35  1  0.267  0.801  0.982  1.0
  O  O36  1  0.000  0.441  0.779  1.0
  O  O37  1  0.000  0.559  0.221  1.0
  O  O38  1  0.500  0.941  0.721  1.0
  O  O39  1  0.500  0.059  0.279  1.0
[/CIF]
.
The material described by K2Na3InO4 crystallizes in the orthorhombic Pnnm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to one O(1), one O(3), and four equivalent O(2) atoms. In the second K site, K(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form distorted KO6 octahedra that share corners with two equivalent In(1)O4 tetrahedra, corners with eight equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 trigonal pyramids, edges with two equivalent K(2)O6 octahedra, edges with two equivalent Na(1)O4 tetrahedra, edges with two equivalent In(1)O4 tetrahedra, and edges with two equivalent Na(2)O4 trigonal pyramids. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form distorted NaO4 tetrahedra that share corners with four equivalent K(2)O6 octahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent In(1)O4 tetrahedra, corners with two equivalent Na(2)O4 trigonal pyramids,  an edgeedge with one K(2)O6 octahedra,  an edgeedge with one Na(1)O4 tetrahedra,  an edgeedge with one In(1)O4 tetrahedra, and  an edgeedge with one Na(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 29-48°. In the second Na site, Na(2) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent K(2)O6 octahedra, corners with two equivalent In(1)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent K(2)O6 octahedra,  an edgeedge with one In(1)O4 tetrahedra, and edges with two equivalent Na(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. In(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form InO4 tetrahedra that share corners with two equivalent K(2)O6 octahedra, corners with four equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 trigonal pyramids, edges with two equivalent K(2)O6 octahedra, edges with two equivalent Na(1)O4 tetrahedra, and  an edgeedge with one Na(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. There are three inequivalent O sites. In the first O site, O(3) is bonded in a 7-coordinate geometry to one K(1), two equivalent K(2), one Na(2), two equivalent Na(1), and one In(1) atom. In the second O site, O(1) is bonded in a 7-coordinate geometry to one K(1), two equivalent K(2), one Na(2), two equivalent Na(1), and one In(1) atom. In the third O site, O(2) is bonded in a 7-coordinate geometry to one K(2), two equivalent K(1), one Na(2), two equivalent Na(1), and one In(1) atom. is represented by the CIF file [CIF]
data_K2Na3InO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.640
_cell_length_b   9.382
_cell_length_c   9.658
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   692.227
_cell_formula_units_Z   4
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  0.000  0.231  0.264  1.0
  K  K1  1  0.000  0.769  0.736  1.0
  K  K2  1  0.500  0.731  0.236  1.0
  K  K3  1  0.500  0.269  0.764  1.0
  K  K4  1  0.746  0.000  0.500  1.0
  K  K5  1  0.754  0.500  0.000  1.0
  K  K6  1  0.254  0.000  0.500  1.0
  K  K7  1  0.246  0.500  0.000  1.0
  Na  Na8  1  0.752  0.482  0.350  1.0
  Na  Na9  1  0.752  0.518  0.650  1.0
  Na  Na10  1  0.748  0.982  0.150  1.0
  Na  Na11  1  0.748  0.018  0.850  1.0
  Na  Na12  1  0.248  0.518  0.650  1.0
  Na  Na13  1  0.248  0.482  0.350  1.0
  Na  Na14  1  0.252  0.018  0.850  1.0
  Na  Na15  1  0.252  0.982  0.150  1.0
  Na  Na16  1  0.000  0.237  0.926  1.0
  Na  Na17  1  0.000  0.763  0.074  1.0
  Na  Na18  1  0.500  0.737  0.574  1.0
  Na  Na19  1  0.500  0.263  0.426  1.0
  In  In20  1  0.500  0.772  0.871  1.0
  In  In21  1  0.500  0.228  0.129  1.0
  In  In22  1  0.000  0.272  0.629  1.0
  In  In23  1  0.000  0.728  0.371  1.0
  O  O24  1  0.500  0.569  0.776  1.0
  O  O25  1  0.500  0.431  0.224  1.0
  O  O26  1  0.000  0.069  0.724  1.0
  O  O27  1  0.000  0.931  0.276  1.0
  O  O28  1  0.767  0.301  0.518  1.0
  O  O29  1  0.767  0.699  0.482  1.0
  O  O30  1  0.733  0.801  0.982  1.0
  O  O31  1  0.733  0.199  0.018  1.0
  O  O32  1  0.233  0.699  0.482  1.0
  O  O33  1  0.233  0.301  0.518  1.0
  O  O34  1  0.267  0.199  0.018  1.0
  O  O35  1  0.267  0.801  0.982  1.0
  O  O36  1  0.000  0.441  0.779  1.0
  O  O37  1  0.000  0.559  0.221  1.0
  O  O38  1  0.500  0.941  0.721  1.0
  O  O39  1  0.500  0.059  0.279  1.0
[/CIF]
.