The material structure described by MgCo4(Te2O5)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(13), one O(15), one O(17), and one O(7) atom to form distorted MgO4 trigonal pyramids that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O4 tetrahedra, and  a cornercorner with one Co(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 48°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(17), one O(19), one O(20), one O(3), one O(4), and one O(5) atom to form distorted CoO6 octahedra that share  a cornercorner with one Te(6)O5 square pyramid,  a cornercorner with one Mg(1)O4 trigonal pyramid, and edges with two equivalent Co(2)O6 octahedra. In the second Co site, Co(2) is bonded to one O(18), one O(19), one O(20), one O(3), one O(4), and one O(6) atom to form distorted CoO6 octahedra that share edges with two equivalent Co(1)O6 octahedra and  an edgeedge with one Te(6)O5 square pyramid. In the third Co site, Co(3) is bonded to one O(10), one O(13), one O(14), one O(16), and one O(8) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Te(6)O5 square pyramid, corners with two equivalent Co(4)O4 tetrahedra, and  a cornercorner with one Mg(1)O4 trigonal pyramid. In the fourth Co site, Co(4) is bonded to one O(10), one O(14), one O(15), and one O(9) atom to form CoO4 tetrahedra that share corners with two equivalent Co(3)O5 trigonal bipyramids and  a cornercorner with one Mg(1)O4 trigonal pyramid. There are eight inequivalent Te sites. In the first Te site, Te(1) is bonded in a distorted T-shaped geometry to one O(1), one O(5), and one O(9) atom. In the second Te site, Te(2) is bonded in a 4-coordinate geometry to one O(10), one O(2), one O(6), and one O(8) atom. In the third Te site, Te(3) is bonded in a 3-coordinate geometry to one O(11), one O(12), one O(3), one O(5), and one O(7) atom. In the fourth Te site, Te(4) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(4), one O(6), and one O(8) atom. In the fifth Te site, Te(5) is bonded in a 3-coordinate geometry to one O(15), one O(17), and one O(19) atom. In the sixth Te site, Te(6) is bonded to one O(11), one O(12), one O(16), one O(18), and one O(20) atom to form distorted TeO5 square pyramids that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O5 trigonal bipyramid, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 37°. In the seventh Te site, Te(7) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(16), one O(18), and one O(2) atom. In the eighth Te site, Te(8) is bonded in an L-shaped geometry to one O(1) and one O(13) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one Te(1), one Te(7), and one Te(8) atom. In the second O site, O(2) is bonded in a bent 120 degrees geometry to one Te(2) and one Te(7) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Te(3) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Co(1), one Co(2), and one Te(4) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Co(1), one Te(1), and one Te(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Co(2), one Te(2), and one Te(4) atom. In the seventh O site, O(7) is bonded in a water-like geometry to one Mg(1) and one Te(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Co(3), one Te(2), and one Te(4) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one Co(4) and one Te(1) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Co(3), one Co(4), and one Te(2) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Te(3), one Te(4), and one Te(6) atom. In the twelfth O site, O(12) is bonded in a distorted water-like geometry to one Te(3) and one Te(6) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Mg(1), one Co(3), and one Te(8) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Co(3), one Co(4), and one Te(7) atom. In the fifteenth O site, O(15) is bonded in a trigonal non-coplanar geometry to one Mg(1), one Co(4), and one Te(5) atom. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Co(3), one Te(6), and one Te(7) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mg(1), one Co(1), and one Te(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Co(2), one Te(6), and one Te(7) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Te(5) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Te(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCo4(Te2O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.347
_cell_length_b   11.248
_cell_length_c   6.278
_cell_angle_alpha   94.312
_cell_angle_beta   90.104
_cell_angle_gamma   84.783
_symmetry_Int_Tables_number   1
_cell_volume   515.222
_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  0.595  0.297  0.012  1.0
  Co  Co1  1  0.946  0.059  0.251  1.0
  Co  Co2  1  0.984  0.942  0.733  1.0
  Co  Co3  1  0.546  0.592  0.179  1.0
  Co  Co4  1  0.540  0.466  0.656  1.0
  Te  Te5  1  0.136  0.333  0.546  1.0
  Te  Te6  1  0.153  0.655  0.938  1.0
  Te  Te7  1  0.327  0.109  0.047  1.0
  Te  Te8  1  0.363  0.839  0.475  1.0
  Te  Te9  1  0.607  0.163  0.516  1.0
  Te  Te10  1  0.628  0.850  0.990  1.0
  Te  Te11  1  0.883  0.665  0.468  1.0
  Te  Te12  1  0.968  0.395  0.042  1.0
  O  O13  1  0.013  0.442  0.345  1.0
  O  O14  1  0.029  0.576  0.695  1.0
  O  O15  1  0.093  0.064  0.956  1.0
  O  O16  1  0.135  0.927  0.441  1.0
  O  O17  1  0.120  0.195  0.364  1.0
  O  O18  1  0.203  0.790  0.787  1.0
  O  O19  1  0.336  0.264  0.934  1.0
  O  O20  1  0.327  0.700  0.288  1.0
  O  O21  1  0.372  0.372  0.467  1.0
  O  O22  1  0.388  0.562  0.898  1.0
  O  O23  1  0.487  0.925  0.248  1.0
  O  O24  1  0.480  0.024  0.827  1.0
  O  O25  1  0.704  0.451  0.058  1.0
  O  O26  1  0.665  0.584  0.498  1.0
  O  O27  1  0.681  0.299  0.699  1.0
  O  O28  1  0.728  0.717  0.158  1.0
  O  O29  1  0.697  0.197  0.241  1.0
  O  O30  1  0.813  0.802  0.655  1.0
  O  O31  1  0.824  0.061  0.547  1.0
  O  O32  1  0.832  0.939  0.034  1.0
[/CIF]
.
The material structure described by MgCo4(Te2O5)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(13), one O(15), one O(17), and one O(7) atom to form distorted MgO4 trigonal pyramids that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(4)O4 tetrahedra, and  a cornercorner with one Co(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 48°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(17), one O(19), one O(20), one O(3), one O(4), and one O(5) atom to form distorted CoO6 octahedra that share  a cornercorner with one Te(6)O5 square pyramid,  a cornercorner with one Mg(1)O4 trigonal pyramid, and edges with two equivalent Co(2)O6 octahedra. In the second Co site, Co(2) is bonded to one O(18), one O(19), one O(20), one O(3), one O(4), and one O(6) atom to form distorted CoO6 octahedra that share edges with two equivalent Co(1)O6 octahedra and  an edgeedge with one Te(6)O5 square pyramid. In the third Co site, Co(3) is bonded to one O(10), one O(13), one O(14), one O(16), and one O(8) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Te(6)O5 square pyramid, corners with two equivalent Co(4)O4 tetrahedra, and  a cornercorner with one Mg(1)O4 trigonal pyramid. In the fourth Co site, Co(4) is bonded to one O(10), one O(14), one O(15), and one O(9) atom to form CoO4 tetrahedra that share corners with two equivalent Co(3)O5 trigonal bipyramids and  a cornercorner with one Mg(1)O4 trigonal pyramid. There are eight inequivalent Te sites. In the first Te site, Te(1) is bonded in a distorted T-shaped geometry to one O(1), one O(5), and one O(9) atom. In the second Te site, Te(2) is bonded in a 4-coordinate geometry to one O(10), one O(2), one O(6), and one O(8) atom. In the third Te site, Te(3) is bonded in a 3-coordinate geometry to one O(11), one O(12), one O(3), one O(5), and one O(7) atom. In the fourth Te site, Te(4) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(4), one O(6), and one O(8) atom. In the fifth Te site, Te(5) is bonded in a 3-coordinate geometry to one O(15), one O(17), and one O(19) atom. In the sixth Te site, Te(6) is bonded to one O(11), one O(12), one O(16), one O(18), and one O(20) atom to form distorted TeO5 square pyramids that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O5 trigonal bipyramid, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 37°. In the seventh Te site, Te(7) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(16), one O(18), and one O(2) atom. In the eighth Te site, Te(8) is bonded in an L-shaped geometry to one O(1) and one O(13) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one Te(1), one Te(7), and one Te(8) atom. In the second O site, O(2) is bonded in a bent 120 degrees geometry to one Te(2) and one Te(7) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Te(3) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Co(1), one Co(2), and one Te(4) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Co(1), one Te(1), and one Te(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Co(2), one Te(2), and one Te(4) atom. In the seventh O site, O(7) is bonded in a water-like geometry to one Mg(1) and one Te(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Co(3), one Te(2), and one Te(4) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one Co(4) and one Te(1) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Co(3), one Co(4), and one Te(2) atom. In the eleventh O site, O(11) is bonded in a distorted bent 120 degrees geometry to one Te(3), one Te(4), and one Te(6) atom. In the twelfth O site, O(12) is bonded in a distorted water-like geometry to one Te(3) and one Te(6) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Mg(1), one Co(3), and one Te(8) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Co(3), one Co(4), and one Te(7) atom. In the fifteenth O site, O(15) is bonded in a trigonal non-coplanar geometry to one Mg(1), one Co(4), and one Te(5) atom. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Co(3), one Te(6), and one Te(7) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mg(1), one Co(1), and one Te(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Co(2), one Te(6), and one Te(7) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Te(5) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Te(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCo4(Te2O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.347
_cell_length_b   11.248
_cell_length_c   6.278
_cell_angle_alpha   94.312
_cell_angle_beta   90.104
_cell_angle_gamma   84.783
_symmetry_Int_Tables_number   1
_cell_volume   515.222
_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  0.595  0.297  0.012  1.0
  Co  Co1  1  0.946  0.059  0.251  1.0
  Co  Co2  1  0.984  0.942  0.733  1.0
  Co  Co3  1  0.546  0.592  0.179  1.0
  Co  Co4  1  0.540  0.466  0.656  1.0
  Te  Te5  1  0.136  0.333  0.546  1.0
  Te  Te6  1  0.153  0.655  0.938  1.0
  Te  Te7  1  0.327  0.109  0.047  1.0
  Te  Te8  1  0.363  0.839  0.475  1.0
  Te  Te9  1  0.607  0.163  0.516  1.0
  Te  Te10  1  0.628  0.850  0.990  1.0
  Te  Te11  1  0.883  0.665  0.468  1.0
  Te  Te12  1  0.968  0.395  0.042  1.0
  O  O13  1  0.013  0.442  0.345  1.0
  O  O14  1  0.029  0.576  0.695  1.0
  O  O15  1  0.093  0.064  0.956  1.0
  O  O16  1  0.135  0.927  0.441  1.0
  O  O17  1  0.120  0.195  0.364  1.0
  O  O18  1  0.203  0.790  0.787  1.0
  O  O19  1  0.336  0.264  0.934  1.0
  O  O20  1  0.327  0.700  0.288  1.0
  O  O21  1  0.372  0.372  0.467  1.0
  O  O22  1  0.388  0.562  0.898  1.0
  O  O23  1  0.487  0.925  0.248  1.0
  O  O24  1  0.480  0.024  0.827  1.0
  O  O25  1  0.704  0.451  0.058  1.0
  O  O26  1  0.665  0.584  0.498  1.0
  O  O27  1  0.681  0.299  0.699  1.0
  O  O28  1  0.728  0.717  0.158  1.0
  O  O29  1  0.697  0.197  0.241  1.0
  O  O30  1  0.813  0.802  0.655  1.0
  O  O31  1  0.824  0.061  0.547  1.0
  O  O32  1  0.832  0.939  0.034  1.0
[/CIF]
.