The material structure described by KNaMg6O7 crystallizes in the tetragonal P4mm space group. K(1) is bonded to one O(1) and four equivalent O(4) atoms to form KO5 square pyramids that share  a cornercorner with one Na(1)O5 square pyramid, corners with four equivalent K(1)O5 square pyramids, edges with four equivalent Mg(1)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. Na(1) is bonded to one O(1) and four equivalent O(5) atoms to form NaO5 square pyramids that share  a cornercorner with one K(1)O5 square pyramid, corners with four equivalent Na(1)O5 square pyramids, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(2), one O(3), and four equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with four equivalent K(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-6°. In the second Mg site, Mg(2) is bonded to one O(2), one O(3), and four equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with four equivalent Na(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-7°. In the third Mg site, Mg(3) is bonded in a square co-planar geometry to one O(4), one O(5), and two equivalent O(2) atoms. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with four equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, edges with two equivalent K(1)O5 square pyramids, and edges with two equivalent Na(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-1°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(1), and four equivalent Mg(4) atoms to form OKNaMg4 octahedra that share corners with four equivalent O(1)KNaMg4 octahedra, edges with four equivalent O(4)K2Mg4 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Mg(1), one Mg(2), and four equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(3)Mg6 octahedra, corners with four equivalent O(2)Mg6 octahedra, edges with four equivalent O(4)K2Mg4 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded to one Mg(1), one Mg(2), and four equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(2)Mg6 octahedra, corners with four equivalent O(3)Mg6 octahedra, edges with four equivalent O(4)K2Mg4 octahedra, edges with four equivalent O(1)KNaMg4 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to two equivalent K(1), one Mg(3), one Mg(4), and two equivalent Mg(1) atoms to form OK2Mg4 octahedra that share corners with two equivalent O(5)Na2Mg4 octahedra, corners with four equivalent O(4)K2Mg4 octahedra, edges with two equivalent O(1)KNaMg4 octahedra, edges with two equivalent O(2)Mg6 octahedra, edges with two equivalent O(3)Mg6 octahedra, and edges with four equivalent O(4)K2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifth O site, O(5) is bonded to two equivalent Na(1), one Mg(3), one Mg(4), and two equivalent Mg(2) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(4)K2Mg4 octahedra, corners with four equivalent O(5)Na2Mg4 octahedra, edges with two equivalent O(1)KNaMg4 octahedra, edges with two equivalent O(2)Mg6 octahedra, edges with two equivalent O(3)Mg6 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. is represented by the CIF card [CIF]
data_KNaMg6O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.236
_cell_length_b   4.635
_cell_length_c   4.635
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   176.944
_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
  K  K0  1  0.032  0.000  0.000  1.0
  Na  Na1  1  0.498  0.000  0.000  1.0
  Mg  Mg2  1  0.995  0.500  0.500  1.0
  Mg  Mg3  1  0.499  0.500  0.500  1.0
  Mg  Mg4  1  0.248  0.000  0.500  1.0
  Mg  Mg5  1  0.750  0.000  0.500  1.0
  Mg  Mg6  1  0.248  0.500  0.000  1.0
  Mg  Mg7  1  0.750  0.500  0.000  1.0
  O  O8  1  0.751  0.000  0.000  1.0
  O  O9  1  0.247  0.500  0.500  1.0
  O  O10  1  0.747  0.500  0.500  1.0
  O  O11  1  0.010  0.000  0.500  1.0
  O  O12  1  0.482  0.000  0.500  1.0
  O  O13  1  0.010  0.500  0.000  1.0
  O  O14  1  0.482  0.500  0.000  1.0
[/CIF]
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The material structure described by KNaMg6O7 crystallizes in the tetragonal P4mm space group. K(1) is bonded to one O(1) and four equivalent O(4) atoms to form KO5 square pyramids that share  a cornercorner with one Na(1)O5 square pyramid, corners with four equivalent K(1)O5 square pyramids, edges with four equivalent Mg(1)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. Na(1) is bonded to one O(1) and four equivalent O(5) atoms to form NaO5 square pyramids that share  a cornercorner with one K(1)O5 square pyramid, corners with four equivalent Na(1)O5 square pyramids, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(2), one O(3), and four equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with four equivalent K(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-6°. In the second Mg site, Mg(2) is bonded to one O(2), one O(3), and four equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with four equivalent Na(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-7°. In the third Mg site, Mg(3) is bonded in a square co-planar geometry to one O(4), one O(5), and two equivalent O(2) atoms. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with four equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, edges with two equivalent K(1)O5 square pyramids, and edges with two equivalent Na(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-1°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(1), and four equivalent Mg(4) atoms to form OKNaMg4 octahedra that share corners with four equivalent O(1)KNaMg4 octahedra, edges with four equivalent O(4)K2Mg4 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Mg(1), one Mg(2), and four equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(3)Mg6 octahedra, corners with four equivalent O(2)Mg6 octahedra, edges with four equivalent O(4)K2Mg4 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded to one Mg(1), one Mg(2), and four equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(2)Mg6 octahedra, corners with four equivalent O(3)Mg6 octahedra, edges with four equivalent O(4)K2Mg4 octahedra, edges with four equivalent O(1)KNaMg4 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to two equivalent K(1), one Mg(3), one Mg(4), and two equivalent Mg(1) atoms to form OK2Mg4 octahedra that share corners with two equivalent O(5)Na2Mg4 octahedra, corners with four equivalent O(4)K2Mg4 octahedra, edges with two equivalent O(1)KNaMg4 octahedra, edges with two equivalent O(2)Mg6 octahedra, edges with two equivalent O(3)Mg6 octahedra, and edges with four equivalent O(4)K2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifth O site, O(5) is bonded to two equivalent Na(1), one Mg(3), one Mg(4), and two equivalent Mg(2) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(4)K2Mg4 octahedra, corners with four equivalent O(5)Na2Mg4 octahedra, edges with two equivalent O(1)KNaMg4 octahedra, edges with two equivalent O(2)Mg6 octahedra, edges with two equivalent O(3)Mg6 octahedra, and edges with four equivalent O(5)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. is represented by the CIF card [CIF]
data_KNaMg6O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.236
_cell_length_b   4.635
_cell_length_c   4.635
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   176.944
_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
  K  K0  1  0.032  0.000  0.000  1.0
  Na  Na1  1  0.498  0.000  0.000  1.0
  Mg  Mg2  1  0.995  0.500  0.500  1.0
  Mg  Mg3  1  0.499  0.500  0.500  1.0
  Mg  Mg4  1  0.248  0.000  0.500  1.0
  Mg  Mg5  1  0.750  0.000  0.500  1.0
  Mg  Mg6  1  0.248  0.500  0.000  1.0
  Mg  Mg7  1  0.750  0.500  0.000  1.0
  O  O8  1  0.751  0.000  0.000  1.0
  O  O9  1  0.247  0.500  0.500  1.0
  O  O10  1  0.747  0.500  0.500  1.0
  O  O11  1  0.010  0.000  0.500  1.0
  O  O12  1  0.482  0.000  0.500  1.0
  O  O13  1  0.010  0.500  0.000  1.0
  O  O14  1  0.482  0.500  0.000  1.0
[/CIF]
.