The material described by Mg14VCoO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) 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 two equivalent Mg(3)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the third Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth Mg site, Mg(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with six equivalent Mg(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. V(1) is bonded to two equivalent O(6) and four equivalent O(2) atoms to form VO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. Co(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(2)O6 octahedra. The corner-sharing octahedra are not tilted. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), and one Co(1) atom to form OMg5Co octahedra that share corners with two equivalent O(2)Mg5V octahedra, corners with four equivalent O(1)Mg5Co octahedra, edges with two equivalent O(4)Mg4Co2 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(2)Mg5V octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the second O site, O(2) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), and one V(1) atom to form OMg5V octahedra that share corners with two equivalent O(1)Mg5Co octahedra, corners with four equivalent O(2)Mg5V octahedra, edges with two equivalent O(6)Mg4V2 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(2)Mg5V octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third O site, O(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(4)Mg4Co2 octahedra,  an edgeedge with one O(6)Mg4V2 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(1)Mg5Co octahedra, and edges with four equivalent O(2)Mg5V octahedra. The corner-sharing octahedral tilt angles range from 1-2°. In the fourth O site, O(4) is bonded to four equivalent Mg(2) and two equivalent Co(1) atoms to form OMg4Co2 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(1)Mg5Co octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to two equivalent Mg(1), two equivalent Mg(2), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with two equivalent O(6)Mg4V2 octahedra, corners with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(1)Mg5Co octahedra, edges with four equivalent O(2)Mg5V octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to four equivalent Mg(3) and two equivalent V(1) atoms to form OMg4V2 octahedra that share corners with two equivalent O(6)Mg4V2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(2)Mg5V octahedra. The corner-sharing octahedra are not tilted. is represented by the CIF file [CIF]
data_Mg14VCoO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.563
_cell_length_b   8.563
_cell_length_c   4.242
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   311.077
_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
  Mg  Mg0  1  0.000  0.500  0.000  1.0
  Mg  Mg1  1  0.500  0.000  0.000  1.0
  Mg  Mg2  1  0.000  0.249  0.500  1.0
  Mg  Mg3  1  0.000  0.751  0.500  1.0
  Mg  Mg4  1  0.500  0.247  0.500  1.0
  Mg  Mg5  1  0.500  0.753  0.500  1.0
  Mg  Mg6  1  0.249  0.000  0.500  1.0
  Mg  Mg7  1  0.247  0.500  0.500  1.0
  Mg  Mg8  1  0.751  0.000  0.500  1.0
  Mg  Mg9  1  0.753  0.500  0.500  1.0
  Mg  Mg10  1  0.247  0.247  0.000  1.0
  Mg  Mg11  1  0.247  0.753  0.000  1.0
  Mg  Mg12  1  0.753  0.247  0.000  1.0
  Mg  Mg13  1  0.753  0.753  0.000  1.0
  V  V14  1  0.500  0.500  0.000  1.0
  Co  Co15  1  0.000  0.000  0.000  1.0
  O  O16  1  0.257  0.000  0.000  1.0
  O  O17  1  0.249  0.500  0.000  1.0
  O  O18  1  0.743  0.000  0.000  1.0
  O  O19  1  0.751  0.500  0.000  1.0
  O  O20  1  0.250  0.250  0.500  1.0
  O  O21  1  0.250  0.750  0.500  1.0
  O  O22  1  0.750  0.250  0.500  1.0
  O  O23  1  0.750  0.750  0.500  1.0
  O  O24  1  0.000  0.000  0.500  1.0
  O  O25  1  0.000  0.500  0.500  1.0
  O  O26  1  0.500  0.000  0.500  1.0
  O  O27  1  0.500  0.500  0.500  1.0
  O  O28  1  0.000  0.257  0.000  1.0
  O  O29  1  0.000  0.743  0.000  1.0
  O  O30  1  0.500  0.249  0.000  1.0
  O  O31  1  0.500  0.751  0.000  1.0
[/CIF]
.
The material described by Mg14VCoO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) 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 two equivalent Mg(3)O6 octahedra, corners with four equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the third Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth Mg site, Mg(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with six equivalent Mg(4)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. V(1) is bonded to two equivalent O(6) and four equivalent O(2) atoms to form VO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. Co(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(2)O6 octahedra. The corner-sharing octahedra are not tilted. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), and one Co(1) atom to form OMg5Co octahedra that share corners with two equivalent O(2)Mg5V octahedra, corners with four equivalent O(1)Mg5Co octahedra, edges with two equivalent O(4)Mg4Co2 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(2)Mg5V octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the second O site, O(2) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), and one V(1) atom to form OMg5V octahedra that share corners with two equivalent O(1)Mg5Co octahedra, corners with four equivalent O(2)Mg5V octahedra, edges with two equivalent O(6)Mg4V2 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(2)Mg5V octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third O site, O(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(4)Mg4Co2 octahedra,  an edgeedge with one O(6)Mg4V2 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(1)Mg5Co octahedra, and edges with four equivalent O(2)Mg5V octahedra. The corner-sharing octahedral tilt angles range from 1-2°. In the fourth O site, O(4) is bonded to four equivalent Mg(2) and two equivalent Co(1) atoms to form OMg4Co2 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(1)Mg5Co octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to two equivalent Mg(1), two equivalent Mg(2), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with two equivalent O(6)Mg4V2 octahedra, corners with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(1)Mg5Co octahedra, edges with four equivalent O(2)Mg5V octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to four equivalent Mg(3) and two equivalent V(1) atoms to form OMg4V2 octahedra that share corners with two equivalent O(6)Mg4V2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(2)Mg5V octahedra. The corner-sharing octahedra are not tilted. is represented by the CIF file [CIF]
data_Mg14VCoO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.563
_cell_length_b   8.563
_cell_length_c   4.242
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   311.077
_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
  Mg  Mg0  1  0.000  0.500  0.000  1.0
  Mg  Mg1  1  0.500  0.000  0.000  1.0
  Mg  Mg2  1  0.000  0.249  0.500  1.0
  Mg  Mg3  1  0.000  0.751  0.500  1.0
  Mg  Mg4  1  0.500  0.247  0.500  1.0
  Mg  Mg5  1  0.500  0.753  0.500  1.0
  Mg  Mg6  1  0.249  0.000  0.500  1.0
  Mg  Mg7  1  0.247  0.500  0.500  1.0
  Mg  Mg8  1  0.751  0.000  0.500  1.0
  Mg  Mg9  1  0.753  0.500  0.500  1.0
  Mg  Mg10  1  0.247  0.247  0.000  1.0
  Mg  Mg11  1  0.247  0.753  0.000  1.0
  Mg  Mg12  1  0.753  0.247  0.000  1.0
  Mg  Mg13  1  0.753  0.753  0.000  1.0
  V  V14  1  0.500  0.500  0.000  1.0
  Co  Co15  1  0.000  0.000  0.000  1.0
  O  O16  1  0.257  0.000  0.000  1.0
  O  O17  1  0.249  0.500  0.000  1.0
  O  O18  1  0.743  0.000  0.000  1.0
  O  O19  1  0.751  0.500  0.000  1.0
  O  O20  1  0.250  0.250  0.500  1.0
  O  O21  1  0.250  0.750  0.500  1.0
  O  O22  1  0.750  0.250  0.500  1.0
  O  O23  1  0.750  0.750  0.500  1.0
  O  O24  1  0.000  0.000  0.500  1.0
  O  O25  1  0.000  0.500  0.500  1.0
  O  O26  1  0.500  0.000  0.500  1.0
  O  O27  1  0.500  0.500  0.500  1.0
  O  O28  1  0.000  0.257  0.000  1.0
  O  O29  1  0.000  0.743  0.000  1.0
  O  O30  1  0.500  0.249  0.000  1.0
  O  O31  1  0.500  0.751  0.000  1.0
[/CIF]
.