The structure described by K4MgV6O16 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(12), one O(14), one O(16), one O(2), one O(3), one O(5), one O(7), and one O(8) atom. In the second K site, K(2) is bonded in a 8-coordinate geometry to one O(1), one O(14), one O(16), one O(4), one O(5), one O(6), one O(7), and one O(9) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(12), one O(2), one O(4), one O(7), and one O(8) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(15), one O(3), one O(8), and one O(9) atom. Mg(1) is bonded in a 4-coordinate geometry to one O(13), one O(14), one O(2), and one O(6) atom. There are six inequivalent V sites. In the first V site, V(1) is bonded to one O(12), one O(16), one O(4), and one O(7) atom to form VO4 tetrahedra that share  a cornercorner with one V(3)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the second V site, V(2) is bonded to one O(10), one O(11), one O(3), and one O(8) atom to form VO4 tetrahedra that share  a cornercorner with one V(4)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the third V site, V(3) is bonded to one O(13), one O(15), one O(4), and one O(6) atom to form VO4 tetrahedra that share  a cornercorner with one V(1)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the fourth V site, V(4) is bonded to one O(14), one O(3), one O(5), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one V(2)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the fifth V site, V(5) is bonded in a 4-coordinate geometry to one O(11), one O(12), one O(13), and one O(2) atom. In the sixth V site, V(6) is bonded to one O(1), one O(10), one O(15), one O(16), and one O(9) atom to form distorted corner-sharing VO5 trigonal bipyramids. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one K(2), one K(4), and one V(6) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one K(1), one K(3), one Mg(1), and one V(5) atom. In the third O site, O(3) is bonded in a distorted bent 150 degrees geometry to one K(1), one K(4), one V(2), and one V(4) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(2), one K(3), one V(1), and one V(3) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(1), one K(2), and one V(4) atom. In the sixth O site, O(6) is bonded in a distorted bent 150 degrees geometry to one K(2), one Mg(1), and one V(3) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one K(1), one K(2), one K(3), and one V(1) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(1), one K(3), one K(4), and one V(2) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one K(2), one K(4), one V(4), and one V(6) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one K(3), one V(2), and one V(6) atom. In the eleventh O site, O(11) is bonded in a distorted bent 150 degrees geometry to one K(3), one V(2), and one V(5) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one K(1), one K(3), one V(1), and one V(5) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one K(4), one Mg(1), one V(3), and one V(5) atom. In the fourteenth O site, O(14) is bonded in a 2-coordinate geometry to one K(1), one K(2), one Mg(1), and one V(4) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 150 degrees geometry to one K(4), one V(3), and one V(6) atom. In the sixteenth O site, O(16) is bonded in a 2-coordinate geometry to one K(1), one K(2), one V(1), and one V(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4MgV6O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.396
_cell_length_b   9.117
_cell_length_c   9.151
_cell_angle_alpha   86.477
_cell_angle_beta   90.799
_cell_angle_gamma   88.752
_symmetry_Int_Tables_number   1
_cell_volume   449.139
_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  0.160  0.698  0.147  1.0
  K  K1  1  0.151  0.752  0.587  1.0
  K  K2  1  0.184  0.154  0.293  1.0
  K  K3  1  0.202  0.358  0.818  1.0
  Mg  Mg4  1  0.148  0.961  0.845  1.0
  V  V5  1  0.627  0.870  0.366  1.0
  V  V6  1  0.682  0.389  0.140  1.0
  V  V7  1  0.631  0.110  0.648  1.0
  V  V8  1  0.619  0.657  0.856  1.0
  V  V9  1  0.627  0.027  0.015  1.0
  V  V10  1  0.662  0.490  0.511  1.0
  O  O11  1  0.968  0.492  0.532  1.0
  O  O12  1  0.958  0.997  0.014  1.0
  O  O13  1  0.545  0.530  0.009  1.0
  O  O14  1  0.505  0.987  0.502  1.0
  O  O15  1  0.921  0.702  0.854  1.0
  O  O16  1  0.935  0.044  0.681  1.0
  O  O17  1  0.935  0.883  0.357  1.0
  O  O18  1  0.991  0.394  0.124  1.0
  O  O19  1  0.535  0.572  0.697  1.0
  O  O20  1  0.589  0.420  0.316  1.0
  O  O21  1  0.570  0.220  0.095  1.0
  O  O22  1  0.495  0.921  0.193  1.0
  O  O23  1  0.453  0.091  0.825  1.0
  O  O24  1  0.431  0.809  0.881  1.0
  O  O25  1  0.563  0.297  0.590  1.0
  O  O26  1  0.550  0.687  0.418  1.0
[/CIF]
.
The structure described by K4MgV6O16 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(12), one O(14), one O(16), one O(2), one O(3), one O(5), one O(7), and one O(8) atom. In the second K site, K(2) is bonded in a 8-coordinate geometry to one O(1), one O(14), one O(16), one O(4), one O(5), one O(6), one O(7), and one O(9) atom. In the third K site, K(3) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(12), one O(2), one O(4), one O(7), and one O(8) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(15), one O(3), one O(8), and one O(9) atom. Mg(1) is bonded in a 4-coordinate geometry to one O(13), one O(14), one O(2), and one O(6) atom. There are six inequivalent V sites. In the first V site, V(1) is bonded to one O(12), one O(16), one O(4), and one O(7) atom to form VO4 tetrahedra that share  a cornercorner with one V(3)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the second V site, V(2) is bonded to one O(10), one O(11), one O(3), and one O(8) atom to form VO4 tetrahedra that share  a cornercorner with one V(4)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the third V site, V(3) is bonded to one O(13), one O(15), one O(4), and one O(6) atom to form VO4 tetrahedra that share  a cornercorner with one V(1)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the fourth V site, V(4) is bonded to one O(14), one O(3), one O(5), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one V(2)O4 tetrahedra and  a cornercorner with one V(6)O5 trigonal bipyramid. In the fifth V site, V(5) is bonded in a 4-coordinate geometry to one O(11), one O(12), one O(13), and one O(2) atom. In the sixth V site, V(6) is bonded to one O(1), one O(10), one O(15), one O(16), and one O(9) atom to form distorted corner-sharing VO5 trigonal bipyramids. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one K(2), one K(4), and one V(6) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one K(1), one K(3), one Mg(1), and one V(5) atom. In the third O site, O(3) is bonded in a distorted bent 150 degrees geometry to one K(1), one K(4), one V(2), and one V(4) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(2), one K(3), one V(1), and one V(3) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(1), one K(2), and one V(4) atom. In the sixth O site, O(6) is bonded in a distorted bent 150 degrees geometry to one K(2), one Mg(1), and one V(3) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one K(1), one K(2), one K(3), and one V(1) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(1), one K(3), one K(4), and one V(2) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one K(2), one K(4), one V(4), and one V(6) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one K(3), one V(2), and one V(6) atom. In the eleventh O site, O(11) is bonded in a distorted bent 150 degrees geometry to one K(3), one V(2), and one V(5) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one K(1), one K(3), one V(1), and one V(5) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one K(4), one Mg(1), one V(3), and one V(5) atom. In the fourteenth O site, O(14) is bonded in a 2-coordinate geometry to one K(1), one K(2), one Mg(1), and one V(4) atom. In the fifteenth O site, O(15) is bonded in a distorted bent 150 degrees geometry to one K(4), one V(3), and one V(6) atom. In the sixteenth O site, O(16) is bonded in a 2-coordinate geometry to one K(1), one K(2), one V(1), and one V(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4MgV6O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.396
_cell_length_b   9.117
_cell_length_c   9.151
_cell_angle_alpha   86.477
_cell_angle_beta   90.799
_cell_angle_gamma   88.752
_symmetry_Int_Tables_number   1
_cell_volume   449.139
_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  0.160  0.698  0.147  1.0
  K  K1  1  0.151  0.752  0.587  1.0
  K  K2  1  0.184  0.154  0.293  1.0
  K  K3  1  0.202  0.358  0.818  1.0
  Mg  Mg4  1  0.148  0.961  0.845  1.0
  V  V5  1  0.627  0.870  0.366  1.0
  V  V6  1  0.682  0.389  0.140  1.0
  V  V7  1  0.631  0.110  0.648  1.0
  V  V8  1  0.619  0.657  0.856  1.0
  V  V9  1  0.627  0.027  0.015  1.0
  V  V10  1  0.662  0.490  0.511  1.0
  O  O11  1  0.968  0.492  0.532  1.0
  O  O12  1  0.958  0.997  0.014  1.0
  O  O13  1  0.545  0.530  0.009  1.0
  O  O14  1  0.505  0.987  0.502  1.0
  O  O15  1  0.921  0.702  0.854  1.0
  O  O16  1  0.935  0.044  0.681  1.0
  O  O17  1  0.935  0.883  0.357  1.0
  O  O18  1  0.991  0.394  0.124  1.0
  O  O19  1  0.535  0.572  0.697  1.0
  O  O20  1  0.589  0.420  0.316  1.0
  O  O21  1  0.570  0.220  0.095  1.0
  O  O22  1  0.495  0.921  0.193  1.0
  O  O23  1  0.453  0.091  0.825  1.0
  O  O24  1  0.431  0.809  0.881  1.0
  O  O25  1  0.563  0.297  0.590  1.0
  O  O26  1  0.550  0.687  0.418  1.0
[/CIF]
.