The structure described by MgMn4Zn2O8 crystallizes in the triclinic P-1 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with six equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the third Mn site, Mn(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. Zn(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(2), one O(3), and one O(4) atom. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(3), and one Zn(1) atom to form OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(4)MgMn3Zn square pyramid,  a cornercorner with one O(2)MgMn3Zn trigonal bipyramid, corners with four equivalent O(1)MgMn3Zn trigonal bipyramids, corners with three equivalent O(3)Mn3Zn trigonal pyramids, edges with three equivalent O(4)MgMn3Zn square pyramids, edges with three equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(3)Mn3Zn trigonal pyramid. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(4), and one Zn(1) atom to form distorted OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(4)MgMn3Zn square pyramid,  a cornercorner with one O(1)MgMn3Zn trigonal bipyramid, corners with four equivalent O(2)MgMn3Zn trigonal bipyramids, corners with three equivalent O(3)Mn3Zn trigonal pyramids, edges with three equivalent O(4)MgMn3Zn square pyramids, edges with three equivalent O(1)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(3)Mn3Zn trigonal pyramid. In the third O site, O(3) is bonded to one Mn(1), one Mn(3), one Mn(4), and one Zn(1) atom to form distorted OMn3Zn trigonal pyramids that share corners with three equivalent O(4)MgMn3Zn square pyramids, corners with three equivalent O(1)MgMn3Zn trigonal bipyramids, corners with three equivalent O(2)MgMn3Zn trigonal bipyramids, corners with three equivalent O(3)Mn3Zn trigonal pyramids,  an edgeedge with one O(4)MgMn3Zn square pyramid,  an edgeedge with one O(1)MgMn3Zn trigonal bipyramid, and  an edgeedge with one O(2)MgMn3Zn trigonal bipyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(2), one Mn(3), one Mn(4), and one Zn(1) atom to form OMgMn3Zn square pyramids that share corners with four equivalent O(4)MgMn3Zn square pyramids,  a cornercorner with one O(1)MgMn3Zn trigonal bipyramid,  a cornercorner with one O(2)MgMn3Zn trigonal bipyramid, corners with three equivalent O(3)Mn3Zn trigonal pyramids, edges with three equivalent O(1)MgMn3Zn trigonal bipyramids, edges with three equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(3)Mn3Zn trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn4Zn2O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.258
_cell_length_b   5.937
_cell_length_c   6.128
_cell_angle_alpha   118.097
_cell_angle_beta   116.833
_cell_angle_gamma   90.576
_symmetry_Int_Tables_number   1
_cell_volume   171.918
_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  1.000  0.500  0.500  1.0
  Mn  Mn1  1  0.000  0.000  1.000  1.0
  Mn  Mn2  1  0.500  0.000  0.500  1.0
  Mn  Mn3  1  1.000  0.000  0.500  1.0
  Mn  Mn4  1  1.000  0.500  1.000  1.0
  Zn  Zn5  1  0.542  0.364  0.211  1.0
  Zn  Zn6  1  0.458  0.636  0.789  1.0
  O  O7  1  0.764  0.751  0.504  1.0
  O  O8  1  0.785  0.274  0.026  1.0
  O  O9  1  0.191  0.242  0.966  1.0
  O  O10  1  0.236  0.249  0.496  1.0
  O  O11  1  0.244  0.749  0.508  1.0
  O  O12  1  0.215  0.726  0.974  1.0
  O  O13  1  0.756  0.251  0.492  1.0
  O  O14  1  0.809  0.758  0.034  1.0
[/CIF]
.
The structure described by MgMn4Zn2O8 crystallizes in the triclinic P-1 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with six equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the third Mn site, Mn(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. Zn(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(2), one O(3), and one O(4) atom. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(3), and one Zn(1) atom to form OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(4)MgMn3Zn square pyramid,  a cornercorner with one O(2)MgMn3Zn trigonal bipyramid, corners with four equivalent O(1)MgMn3Zn trigonal bipyramids, corners with three equivalent O(3)Mn3Zn trigonal pyramids, edges with three equivalent O(4)MgMn3Zn square pyramids, edges with three equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(3)Mn3Zn trigonal pyramid. In the second O site, O(2) is bonded to one Mg(1), one Mn(1), one Mn(2), one Mn(4), and one Zn(1) atom to form distorted OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(4)MgMn3Zn square pyramid,  a cornercorner with one O(1)MgMn3Zn trigonal bipyramid, corners with four equivalent O(2)MgMn3Zn trigonal bipyramids, corners with three equivalent O(3)Mn3Zn trigonal pyramids, edges with three equivalent O(4)MgMn3Zn square pyramids, edges with three equivalent O(1)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(3)Mn3Zn trigonal pyramid. In the third O site, O(3) is bonded to one Mn(1), one Mn(3), one Mn(4), and one Zn(1) atom to form distorted OMn3Zn trigonal pyramids that share corners with three equivalent O(4)MgMn3Zn square pyramids, corners with three equivalent O(1)MgMn3Zn trigonal bipyramids, corners with three equivalent O(2)MgMn3Zn trigonal bipyramids, corners with three equivalent O(3)Mn3Zn trigonal pyramids,  an edgeedge with one O(4)MgMn3Zn square pyramid,  an edgeedge with one O(1)MgMn3Zn trigonal bipyramid, and  an edgeedge with one O(2)MgMn3Zn trigonal bipyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(2), one Mn(3), one Mn(4), and one Zn(1) atom to form OMgMn3Zn square pyramids that share corners with four equivalent O(4)MgMn3Zn square pyramids,  a cornercorner with one O(1)MgMn3Zn trigonal bipyramid,  a cornercorner with one O(2)MgMn3Zn trigonal bipyramid, corners with three equivalent O(3)Mn3Zn trigonal pyramids, edges with three equivalent O(1)MgMn3Zn trigonal bipyramids, edges with three equivalent O(2)MgMn3Zn trigonal bipyramids, and  an edgeedge with one O(3)Mn3Zn trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgMn4Zn2O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.258
_cell_length_b   5.937
_cell_length_c   6.128
_cell_angle_alpha   118.097
_cell_angle_beta   116.833
_cell_angle_gamma   90.576
_symmetry_Int_Tables_number   1
_cell_volume   171.918
_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  1.000  0.500  0.500  1.0
  Mn  Mn1  1  0.000  0.000  1.000  1.0
  Mn  Mn2  1  0.500  0.000  0.500  1.0
  Mn  Mn3  1  1.000  0.000  0.500  1.0
  Mn  Mn4  1  1.000  0.500  1.000  1.0
  Zn  Zn5  1  0.542  0.364  0.211  1.0
  Zn  Zn6  1  0.458  0.636  0.789  1.0
  O  O7  1  0.764  0.751  0.504  1.0
  O  O8  1  0.785  0.274  0.026  1.0
  O  O9  1  0.191  0.242  0.966  1.0
  O  O10  1  0.236  0.249  0.496  1.0
  O  O11  1  0.244  0.749  0.508  1.0
  O  O12  1  0.215  0.726  0.974  1.0
  O  O13  1  0.756  0.251  0.492  1.0
  O  O14  1  0.809  0.758  0.034  1.0
[/CIF]
.