The structure described by MgCo6O7F5 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(4), one O(5), one F(1), one F(2), one F(4), and one F(5) atom to form MgO2F4 octahedra that share corners with two equivalent Co(2)O3F3 octahedra,  a cornercorner with one Co(5)O4F square pyramid,  a cornercorner with one Co(1)O3F2 trigonal bipyramid,  an edgeedge with one Co(5)O4F square pyramid, and faces with two equivalent Co(3)O2F4 octahedra. The corner-sharing octahedral tilt angles range from 44-48°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(3), one O(6), one F(1), and one F(3) atom to form distorted CoO3F2 trigonal bipyramids that share  a cornercorner with one Mg(1)O2F4 octahedra,  a cornercorner with one Co(3)O2F4 octahedra, corners with two equivalent Co(5)O4F square pyramids, corners with three equivalent Co(4)O5 square pyramids, and  an edgeedge with one Co(2)O3F3 octahedra. The corner-sharing octahedral tilt angles range from 41-82°. In the second Co site, Co(2) is bonded to one O(1), one O(2), one O(7), one F(2), one F(3), and one F(5) atom to form CoO3F3 octahedra that share corners with two equivalent Mg(1)O2F4 octahedra, corners with three equivalent Co(4)O5 square pyramids,  an edgeedge with one Co(3)O2F4 octahedra, and  an edgeedge with one Co(1)O3F2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 44-48°. In the third Co site, Co(3) is bonded to one O(4), one O(5), one F(1), one F(2), one F(4), and one F(5) atom to form CoO2F4 octahedra that share corners with three equivalent Co(5)O4F square pyramids,  a cornercorner with one Co(1)O3F2 trigonal bipyramid,  an edgeedge with one Co(2)O3F3 octahedra, and faces with two equivalent Mg(1)O2F4 octahedra. In the fourth Co site, Co(4) is bonded to one O(1), one O(2), one O(3), one O(6), and one O(7) atom to form distorted CoO5 square pyramids that share corners with three equivalent Co(2)O3F3 octahedra, corners with three equivalent Co(1)O3F2 trigonal bipyramids, and  an edgeedge with one Co(5)O4F square pyramid. The corner-sharing octahedral tilt angles range from 40-50°. In the fifth Co site, Co(5) is bonded to one O(3), one O(4), one O(5), one O(6), and one F(4) atom to form CoO4F square pyramids that share  a cornercorner with one Mg(1)O2F4 octahedra, corners with three equivalent Co(3)O2F4 octahedra, corners with two equivalent Co(1)O3F2 trigonal bipyramids,  an edgeedge with one Mg(1)O2F4 octahedra, and  an edgeedge with one Co(4)O5 square pyramid. The corner-sharing octahedral tilt angles range from 34-74°. In the sixth Co site, Co(6) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(5), one O(7), and one F(5) atom. There are seven inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Co(1), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(4), and one Co(6) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(4), and one Co(5) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Co(3), one Co(5), and one Co(6) atom to form a mixture of edge and corner-sharing OMgCo3 trigonal pyramids. In the fifth O site, O(5) is bonded to one Mg(1), one Co(3), one Co(5), and one Co(6) atom to form a mixture of distorted edge and corner-sharing OMgCo3 trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(4), and one Co(5) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(4), and one Co(6) atom. There are five inequivalent F sites. In the first F site, F(1) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(1), and one Co(3) atom. In the second F site, F(2) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(2), and one Co(3) atom. In the third F site, F(3) is bonded in an L-shaped geometry to one Co(1) and one Co(2) atom. In the fourth F site, F(4) is bonded in a T-shaped geometry to one Mg(1), one Co(3), and one Co(5) atom. In the fifth F site, F(5) is bonded in a 4-coordinate geometry to one Mg(1), one Co(2), one Co(3), and one Co(6) atom. is represented by the CIF file [CIF]
data_MgCo6O7F5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.182
_cell_length_b   5.225
_cell_length_c   8.563
_cell_angle_alpha   90.480
_cell_angle_beta   88.709
_cell_angle_gamma   104.509
_symmetry_Int_Tables_number   1
_cell_volume   224.415
_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  0.484  0.988  0.665  1.0
  Co  Co1  1  0.050  0.959  0.032  1.0
  Co  Co2  1  0.013  0.988  0.329  1.0
  Co  Co3  1  0.989  0.021  0.673  1.0
  Co  Co4  1  0.453  0.551  0.169  1.0
  Co  Co5  1  0.527  0.484  0.844  1.0
  Co  Co6  1  0.507  0.494  0.496  1.0
  O  O7  1  0.211  0.800  0.171  1.0
  O  O8  1  0.301  0.323  0.333  1.0
  O  O9  1  0.310  0.317  0.008  1.0
  O  O10  1  0.325  0.300  0.670  1.0
  O  O11  1  0.677  0.703  0.669  1.0
  O  O12  1  0.696  0.691  0.008  1.0
  O  O13  1  0.684  0.692  0.330  1.0
  F  F14  1  0.196  0.843  0.829  1.0
  F  F15  1  0.199  0.839  0.513  1.0
  F  F16  1  0.847  0.151  0.160  1.0
  F  F17  1  0.753  0.184  0.819  1.0
  F  F18  1  0.778  0.159  0.506  1.0
[/CIF]
.
The structure described by MgCo6O7F5 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(4), one O(5), one F(1), one F(2), one F(4), and one F(5) atom to form MgO2F4 octahedra that share corners with two equivalent Co(2)O3F3 octahedra,  a cornercorner with one Co(5)O4F square pyramid,  a cornercorner with one Co(1)O3F2 trigonal bipyramid,  an edgeedge with one Co(5)O4F square pyramid, and faces with two equivalent Co(3)O2F4 octahedra. The corner-sharing octahedral tilt angles range from 44-48°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(3), one O(6), one F(1), and one F(3) atom to form distorted CoO3F2 trigonal bipyramids that share  a cornercorner with one Mg(1)O2F4 octahedra,  a cornercorner with one Co(3)O2F4 octahedra, corners with two equivalent Co(5)O4F square pyramids, corners with three equivalent Co(4)O5 square pyramids, and  an edgeedge with one Co(2)O3F3 octahedra. The corner-sharing octahedral tilt angles range from 41-82°. In the second Co site, Co(2) is bonded to one O(1), one O(2), one O(7), one F(2), one F(3), and one F(5) atom to form CoO3F3 octahedra that share corners with two equivalent Mg(1)O2F4 octahedra, corners with three equivalent Co(4)O5 square pyramids,  an edgeedge with one Co(3)O2F4 octahedra, and  an edgeedge with one Co(1)O3F2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 44-48°. In the third Co site, Co(3) is bonded to one O(4), one O(5), one F(1), one F(2), one F(4), and one F(5) atom to form CoO2F4 octahedra that share corners with three equivalent Co(5)O4F square pyramids,  a cornercorner with one Co(1)O3F2 trigonal bipyramid,  an edgeedge with one Co(2)O3F3 octahedra, and faces with two equivalent Mg(1)O2F4 octahedra. In the fourth Co site, Co(4) is bonded to one O(1), one O(2), one O(3), one O(6), and one O(7) atom to form distorted CoO5 square pyramids that share corners with three equivalent Co(2)O3F3 octahedra, corners with three equivalent Co(1)O3F2 trigonal bipyramids, and  an edgeedge with one Co(5)O4F square pyramid. The corner-sharing octahedral tilt angles range from 40-50°. In the fifth Co site, Co(5) is bonded to one O(3), one O(4), one O(5), one O(6), and one F(4) atom to form CoO4F square pyramids that share  a cornercorner with one Mg(1)O2F4 octahedra, corners with three equivalent Co(3)O2F4 octahedra, corners with two equivalent Co(1)O3F2 trigonal bipyramids,  an edgeedge with one Mg(1)O2F4 octahedra, and  an edgeedge with one Co(4)O5 square pyramid. The corner-sharing octahedral tilt angles range from 34-74°. In the sixth Co site, Co(6) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(5), one O(7), and one F(5) atom. There are seven inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Co(1), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(4), and one Co(6) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(4), and one Co(5) atom. In the fourth O site, O(4) is bonded to one Mg(1), one Co(3), one Co(5), and one Co(6) atom to form a mixture of edge and corner-sharing OMgCo3 trigonal pyramids. In the fifth O site, O(5) is bonded to one Mg(1), one Co(3), one Co(5), and one Co(6) atom to form a mixture of distorted edge and corner-sharing OMgCo3 trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(4), and one Co(5) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Co(2), one Co(4), and one Co(6) atom. There are five inequivalent F sites. In the first F site, F(1) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(1), and one Co(3) atom. In the second F site, F(2) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(2), and one Co(3) atom. In the third F site, F(3) is bonded in an L-shaped geometry to one Co(1) and one Co(2) atom. In the fourth F site, F(4) is bonded in a T-shaped geometry to one Mg(1), one Co(3), and one Co(5) atom. In the fifth F site, F(5) is bonded in a 4-coordinate geometry to one Mg(1), one Co(2), one Co(3), and one Co(6) atom. is represented by the CIF file [CIF]
data_MgCo6O7F5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.182
_cell_length_b   5.225
_cell_length_c   8.563
_cell_angle_alpha   90.480
_cell_angle_beta   88.709
_cell_angle_gamma   104.509
_symmetry_Int_Tables_number   1
_cell_volume   224.415
_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  0.484  0.988  0.665  1.0
  Co  Co1  1  0.050  0.959  0.032  1.0
  Co  Co2  1  0.013  0.988  0.329  1.0
  Co  Co3  1  0.989  0.021  0.673  1.0
  Co  Co4  1  0.453  0.551  0.169  1.0
  Co  Co5  1  0.527  0.484  0.844  1.0
  Co  Co6  1  0.507  0.494  0.496  1.0
  O  O7  1  0.211  0.800  0.171  1.0
  O  O8  1  0.301  0.323  0.333  1.0
  O  O9  1  0.310  0.317  0.008  1.0
  O  O10  1  0.325  0.300  0.670  1.0
  O  O11  1  0.677  0.703  0.669  1.0
  O  O12  1  0.696  0.691  0.008  1.0
  O  O13  1  0.684  0.692  0.330  1.0
  F  F14  1  0.196  0.843  0.829  1.0
  F  F15  1  0.199  0.839  0.513  1.0
  F  F16  1  0.847  0.151  0.160  1.0
  F  F17  1  0.753  0.184  0.819  1.0
  F  F18  1  0.778  0.159  0.506  1.0
[/CIF]
.