The compound described by K4MgV4O10 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(2), one O(3), one O(5), one O(7), and one O(9) atom. In the second K site, K(2) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(3), one O(4), one O(6), and one O(8) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(2), one O(3), one O(4), one O(5), and two equivalent O(7) atoms. In the fourth K site, K(4) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(4), one O(6), and one O(8) atom. Mg(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(6), one O(8), and one O(9) atom. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(3), one O(4), one O(5), and one O(6) atom to form distorted corner-sharing VO5 square pyramids. In the second V site, V(2) is bonded to one O(1), one O(2), one O(4), and one O(7) atom to form VO4 tetrahedra that share corners with two equivalent V(1)O5 square pyramids and  a cornercorner with one V(4)O4 tetrahedra. In the third V site, V(3) is bonded to one O(10), one O(5), one O(8), and one O(9) atom to form distorted VO4 tetrahedra that share  a cornercorner with one V(1)O5 square pyramid and corners with two equivalent V(4)O4 tetrahedra. In the fourth V site, V(4) is bonded to one O(10), one O(6), one O(7), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one V(1)O5 square pyramid,  a cornercorner with one V(2)O4 tetrahedra, and corners with two equivalent V(3)O4 tetrahedra. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one V(1), and one V(2) atom. In the second O site, O(2) is bonded in a distorted trigonal bipyramidal geometry to one K(1), one K(2), one K(3), one K(4), and one V(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), one K(4), and one V(1) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one K(2), one K(3), one K(4), one V(1), and one V(2) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one K(1), one K(3), one V(1), and one V(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(2), one K(4), one Mg(1), one V(1), and one V(4) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(3), one V(2), and one V(4) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one K(2), one K(4), one Mg(1), and one V(3) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one V(3), and one V(4) atom. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one K(1), one K(2), one K(3), one V(3), and one V(4) atom. is represented by the CIF card [CIF]
data_K4MgV4O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.227
_cell_length_b   6.445
_cell_length_c   8.704
_cell_angle_alpha   100.653
_cell_angle_beta   106.822
_cell_angle_gamma   106.442
_symmetry_Int_Tables_number   1
_cell_volume   306.833
_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  0.591  0.132  0.221  1.0
  K  K1  1  0.406  0.799  0.770  1.0
  K  K2  1  0.072  0.572  0.230  1.0
  K  K3  1  0.830  0.473  0.789  1.0
  Mg  Mg4  1  0.145  0.171  0.746  1.0
  V  V5  1  0.972  0.026  0.000  1.0
  V  V6  1  0.500  0.572  0.078  1.0
  V  V7  1  0.232  0.125  0.453  1.0
  V  V8  1  0.685  0.828  0.500  1.0
  O  O9  1  0.280  0.241  0.985  1.0
  O  O10  1  0.287  0.708  0.023  1.0
  O  O11  1  0.794  0.184  0.979  1.0
  O  O12  1  0.773  0.747  0.022  1.0
  O  O13  1  0.149  0.149  0.248  1.0
  O  O14  1  0.892  0.889  0.741  1.0
  O  O15  1  0.625  0.585  0.322  1.0
  O  O16  1  0.373  0.349  0.650  1.0
  O  O17  1  0.941  0.079  0.496  1.0
  O  O18  1  0.408  0.934  0.482  1.0
[/CIF]
.
The compound described by K4MgV4O10 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 7-coordinate geometry to one O(1), one O(10), one O(2), one O(3), one O(5), one O(7), and one O(9) atom. In the second K site, K(2) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(3), one O(4), one O(6), and one O(8) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(2), one O(3), one O(4), one O(5), and two equivalent O(7) atoms. In the fourth K site, K(4) is bonded in a 5-coordinate geometry to one O(2), one O(3), one O(4), one O(6), and one O(8) atom. Mg(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(6), one O(8), and one O(9) atom. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(3), one O(4), one O(5), and one O(6) atom to form distorted corner-sharing VO5 square pyramids. In the second V site, V(2) is bonded to one O(1), one O(2), one O(4), and one O(7) atom to form VO4 tetrahedra that share corners with two equivalent V(1)O5 square pyramids and  a cornercorner with one V(4)O4 tetrahedra. In the third V site, V(3) is bonded to one O(10), one O(5), one O(8), and one O(9) atom to form distorted VO4 tetrahedra that share  a cornercorner with one V(1)O5 square pyramid and corners with two equivalent V(4)O4 tetrahedra. In the fourth V site, V(4) is bonded to one O(10), one O(6), one O(7), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one V(1)O5 square pyramid,  a cornercorner with one V(2)O4 tetrahedra, and corners with two equivalent V(3)O4 tetrahedra. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one V(1), and one V(2) atom. In the second O site, O(2) is bonded in a distorted trigonal bipyramidal geometry to one K(1), one K(2), one K(3), one K(4), and one V(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(1), one K(2), one K(3), one K(4), and one V(1) atom. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one K(2), one K(3), one K(4), one V(1), and one V(2) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one K(1), one K(3), one V(1), and one V(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(2), one K(4), one Mg(1), one V(1), and one V(4) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(3), one V(2), and one V(4) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one K(2), one K(4), one Mg(1), and one V(3) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), one V(3), and one V(4) atom. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one K(1), one K(2), one K(3), one V(3), and one V(4) atom. is represented by the CIF card [CIF]
data_K4MgV4O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.227
_cell_length_b   6.445
_cell_length_c   8.704
_cell_angle_alpha   100.653
_cell_angle_beta   106.822
_cell_angle_gamma   106.442
_symmetry_Int_Tables_number   1
_cell_volume   306.833
_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  0.591  0.132  0.221  1.0
  K  K1  1  0.406  0.799  0.770  1.0
  K  K2  1  0.072  0.572  0.230  1.0
  K  K3  1  0.830  0.473  0.789  1.0
  Mg  Mg4  1  0.145  0.171  0.746  1.0
  V  V5  1  0.972  0.026  0.000  1.0
  V  V6  1  0.500  0.572  0.078  1.0
  V  V7  1  0.232  0.125  0.453  1.0
  V  V8  1  0.685  0.828  0.500  1.0
  O  O9  1  0.280  0.241  0.985  1.0
  O  O10  1  0.287  0.708  0.023  1.0
  O  O11  1  0.794  0.184  0.979  1.0
  O  O12  1  0.773  0.747  0.022  1.0
  O  O13  1  0.149  0.149  0.248  1.0
  O  O14  1  0.892  0.889  0.741  1.0
  O  O15  1  0.625  0.585  0.322  1.0
  O  O16  1  0.373  0.349  0.650  1.0
  O  O17  1  0.941  0.079  0.496  1.0
  O  O18  1  0.408  0.934  0.482  1.0
[/CIF]
.