The material described by MgMn12Zn6O24 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(16), one O(21), one O(24), one O(4), and one O(9) atom to form MgO6 octahedra that share corners with three equivalent Mn(10)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and edges with two equivalent Zn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are twelve inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form distorted MnO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Mn(7)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(1), one O(12), one O(2), one O(4), one O(6), and one O(9) atom to form distorted MnO6 octahedra that share corners with three equivalent Mg(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Mn(7)O4 tetrahedra,  an edgeedge with one Zn(3)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the third Mn site, Mn(3) is bonded to one O(10), one O(11), one O(14), one O(15), one O(17), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(7)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with two equivalent Mn(9)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(1), one O(12), one O(2), one O(3), one O(8), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Mn(7)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(14), one O(17), one O(20), one O(5), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(7)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(9)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(13), one O(14), one O(15), one O(18), one O(19), and one O(20) atom to form MnO6 octahedra that share corners with three equivalent Zn(4)O4 tetrahedra, corners with three equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and  an edgeedge with one Mn(9)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(12), one O(17), one O(6), and one O(8) atom to form MnO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, and corners with three equivalent Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-65°. In the eighth Mn site, Mn(8) is bonded to one O(16), one O(18), one O(19), one O(21), one O(22), and one O(23) atom to form distorted MnO6 octahedra that share  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(11)O6 octahedra. In the ninth Mn site, Mn(9) is bonded to one O(10), one O(15), one O(17), one O(20), one O(5), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(7)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the tenth Mn site, Mn(10) is bonded to one O(13), one O(16), one O(19), one O(21), one O(23), and one O(24) atom to form distorted MnO6 octahedra that share corners with three equivalent Mg(1)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(11)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the eleventh Mn site, Mn(11) is bonded to one O(13), one O(16), one O(18), one O(22), one O(23), and one O(24) atom to form MnO6 octahedra that share  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. In the twelfth Mn site, Mn(12) is bonded in a rectangular see-saw-like geometry to one O(21), one O(22), one O(24), and one O(9) atom. There are six inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a 4-coordinate geometry to one O(1), one O(16), one O(3), and one O(4) atom. In the second Zn site, Zn(2) is bonded to one O(10), one O(11), one O(2), and one O(5) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, and corners with three equivalent Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-65°. In the third Zn site, Zn(3) is bonded to one O(10), one O(11), one O(12), one O(5), one O(6), and one O(8) atom to form ZnO6 octahedra that share corners with three equivalent Mn(7)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and  an edgeedge with one Mn(9)O6 octahedra. In the fourth Zn site, Zn(4) is bonded to one O(13), one O(18), one O(19), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra, corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(11)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, and corners with three equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-67°. In the fifth Zn site, Zn(5) is bonded to one O(1), one O(21), one O(22), one O(24), one O(3), and one O(4) atom to form distorted ZnO6 octahedra that share  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. In the sixth Zn site, Zn(6) is bonded to one O(14), one O(15), one O(20), and one O(23) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(10)O6 octahedra,  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, and corners with three equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-67°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(2), one Mn(4), one Zn(1), and one Zn(5) atom to form distorted OMgMn2Zn2 square pyramids that share corners with two equivalent O(24)MgMn3Zn square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(9)MgMn4 trigonal bipyramid, corners with two equivalent O(12)Mn3Zn trigonal pyramids,  an edgeedge with one O(16)MgMn3Zn square pyramid,  an edgeedge with one O(3)Mn2Zn2 tetrahedra,  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid,  an edgeedge with one O(9)MgMn4 trigonal bipyramid, and edges with two equivalent O(4)MgMn2Zn2 trigonal bipyramids. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(2), one Mn(4), and one Zn(2) atom. In the third O site, O(3) is bonded to one Mn(1), one Mn(4), one Zn(1), and one Zn(5) atom to form OMn2Zn2 tetrahedra that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid,  a cornercorner with one O(16)MgMn3Zn square pyramid,  a cornercorner with one O(24)MgMn3Zn square pyramid,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  a cornercorner with one O(21)MgMn3Zn trigonal bipyramid, corners with two equivalent O(9)MgMn4 trigonal bipyramids,  a cornercorner with one O(12)Mn3Zn trigonal pyramid,  an edgeedge with one O(1)MgMn2Zn2 square pyramid, and  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(1), one Mn(2), one Zn(1), and one Zn(5) atom to form distorted OMgMn2Zn2 trigonal bipyramids that share  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(9)MgMn4 trigonal bipyramid, corners with two equivalent O(21)MgMn3Zn trigonal bipyramids,  a cornercorner with one O(12)Mn3Zn trigonal pyramid,  an edgeedge with one O(16)MgMn3Zn square pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid, edges with two equivalent O(1)MgMn2Zn2 square pyramids,  an edgeedge with one O(3)Mn2Zn2 tetrahedra, and  an edgeedge with one O(9)MgMn4 trigonal bipyramid. In the fifth O site, O(5) is bonded to one Mn(5), one Mn(9), one Zn(2), and one Zn(3) atom to form distorted corner-sharing OMn2Zn2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(2), one Mn(7), and one Zn(3) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Mn(9), and one Zn(4) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(4), one Mn(7), and one Zn(3) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Mn(1), one Mn(12), one Mn(2), and one Mn(4) atom to form distorted OMgMn4 trigonal bipyramids that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid,  a cornercorner with one O(16)MgMn3Zn square pyramid,  a cornercorner with one O(22)Mn3Zn tetrahedra, corners with two equivalent O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(1)MgMn2Zn2 square pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid,  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid, and  an edgeedge with one O(12)Mn3Zn trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(9), one Zn(2), and one Zn(3) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Zn(2), and one Zn(3) atom. In the twelfth O site, O(12) is bonded to one Mn(2), one Mn(4), one Mn(7), and one Zn(3) atom to form distorted OMn3Zn trigonal pyramids that share corners with two equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  a cornercorner with one O(5)Mn2Zn2 trigonal pyramid, and  an edgeedge with one O(9)MgMn4 trigonal bipyramid. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Mn(10), one Mn(11), one Mn(6), and one Zn(4) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Mn(6), and one Zn(6) atom. In the fifteenth O site, O(15) is bonded to one Mn(3), one Mn(6), one Mn(9), and one Zn(6) atom to form distorted OMn3Zn trigonal pyramids that share  a cornercorner with one O(5)Mn2Zn2 trigonal pyramid and  a cornercorner with one O(19)Mn3Zn trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Mg(1), one Mn(10), one Mn(11), one Mn(8), and one Zn(1) atom to form distorted OMgMn3Zn square pyramids that share  a cornercorner with one O(24)MgMn3Zn square pyramid,  a cornercorner with one O(3)Mn2Zn2 tetrahedra, corners with two equivalent O(22)Mn3Zn tetrahedra,  a cornercorner with one O(21)MgMn3Zn trigonal bipyramid,  a cornercorner with one O(9)MgMn4 trigonal bipyramid,  an edgeedge with one O(1)MgMn2Zn2 square pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid,  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid, and  an edgeedge with one O(19)Mn3Zn trigonal pyramid. In the seventeenth O site, O(17) is bonded in a distorted rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Mn(7), and one Mn(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mn(11), one Mn(6), one Mn(8), and one Zn(4) atom. In the nineteenth O site, O(19) is bonded to one Mn(10), one Mn(6), one Mn(8), and one Zn(4) atom to form distorted OMn3Zn trigonal pyramids that share  a cornercorner with one O(24)MgMn3Zn square pyramid,  a cornercorner with one O(22)Mn3Zn tetrahedra, corners with two equivalent O(21)MgMn3Zn trigonal bipyramids,  a cornercorner with one O(15)Mn3Zn trigonal pyramid, and  an edgeedge with one O(16)MgMn3Zn square pyramid. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Mn(5), one Mn(6), one Mn(9), and one Zn(6) atom. In the twenty-first O site, O(21) is bonded to one Mg(1), one Mn(10), one Mn(12), one Mn(8), and one Zn(5) atom to form distorted OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(16)MgMn3Zn square pyramid,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra, corners with two equivalent O(4)MgMn2Zn2 trigonal bipyramids, corners with two equivalent O(19)Mn3Zn trigonal pyramids,  an edgeedge with one O(1)MgMn2Zn2 square pyramid,  an edgeedge with one O(16)MgMn3Zn square pyramid, edges with two equivalent O(24)MgMn3Zn square pyramids,  an edgeedge with one O(22)Mn3Zn tetrahedra, and  an edgeedge with one O(9)MgMn4 trigonal bipyramid. In the twenty-second O site, O(22) is bonded to one Mn(11), one Mn(12), one Mn(8), and one Zn(5) atom to form OMn3Zn tetrahedra that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid,  a cornercorner with one O(24)MgMn3Zn square pyramid, corners with two equivalent O(16)MgMn3Zn square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  a cornercorner with one O(21)MgMn3Zn trigonal bipyramid,  a cornercorner with one O(9)MgMn4 trigonal bipyramid,  a cornercorner with one O(19)Mn3Zn trigonal pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid, and  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Mn(10), one Mn(11), one Mn(8), and one Zn(6) atom. In the twenty-fourth O site, O(24) is bonded to one Mg(1), one Mn(10), one Mn(11), one Mn(12), and one Zn(5) atom to form distorted OMgMn3Zn square pyramids that share  a cornercorner with one O(16)MgMn3Zn square pyramid, corners with two equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(19)Mn3Zn trigonal pyramid,  an edgeedge with one O(16)MgMn3Zn square pyramid,  an edgeedge with one O(22)Mn3Zn tetrahedra,  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(9)MgMn4 trigonal bipyramid, and edges with two equivalent O(21)MgMn3Zn trigonal bipyramids. is represented by the CIF card [CIF]
data_MgMn12Zn6O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.186
_cell_length_b   6.316
_cell_length_c   17.747
_cell_angle_alpha   62.493
_cell_angle_beta   60.842
_cell_angle_gamma   57.271
_symmetry_Int_Tables_number   1
_cell_volume   490.451
_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  0.011  0.485  0.999  1.0
  Mn  Mn1  1  0.512  0.451  0.174  1.0
  Mn  Mn2  1  0.505  0.959  0.168  1.0
  Mn  Mn3  1  0.507  0.505  0.499  1.0
  Mn  Mn4  1  0.009  0.454  0.174  1.0
  Mn  Mn5  1  0.509  0.008  0.500  1.0
  Mn  Mn6  1  0.492  0.514  0.664  1.0
  Mn  Mn7  1  0.875  0.859  0.293  1.0
  Mn  Mn8  1  0.480  0.550  0.824  1.0
  Mn  Mn9  1  0.008  0.506  0.501  1.0
  Mn  Mn10  1  0.480  0.031  0.834  1.0
  Mn  Mn11  1  0.983  0.537  0.825  1.0
  Mn  Mn12  1  0.806  0.988  0.951  1.0
  Zn  Zn13  1  0.136  0.009  0.072  1.0
  Zn  Zn14  1  0.137  0.106  0.382  1.0
  Zn  Zn15  1  0.501  0.492  0.337  1.0
  Zn  Zn16  1  0.110  0.144  0.708  1.0
  Zn  Zn17  1  0.498  0.522  0.995  1.0
  Zn  Zn18  1  0.865  0.901  0.621  1.0
  O  O19  1  0.259  0.223  0.089  1.0
  O  O20  1  0.301  0.191  0.244  1.0
  O  O21  1  0.256  0.644  0.103  1.0
  O  O22  1  0.765  0.270  0.076  1.0
  O  O23  1  0.267  0.253  0.425  1.0
  O  O24  1  0.292  0.702  0.243  1.0
  O  O25  1  0.252  0.258  0.576  1.0
  O  O26  1  0.771  0.266  0.239  1.0
  O  O27  1  0.746  0.741  0.081  1.0
  O  O28  1  0.272  0.719  0.426  1.0
  O  O29  1  0.734  0.265  0.423  1.0
  O  O30  1  0.754  0.722  0.239  1.0
  O  O31  1  0.236  0.273  0.760  1.0
  O  O32  1  0.275  0.732  0.584  1.0
  O  O33  1  0.728  0.294  0.581  1.0
  O  O34  1  0.255  0.240  0.919  1.0
  O  O35  1  0.754  0.747  0.430  1.0
  O  O36  1  0.231  0.731  0.754  1.0
  O  O37  1  0.701  0.301  0.750  1.0
  O  O38  1  0.738  0.752  0.579  1.0
  O  O39  1  0.222  0.727  0.920  1.0
  O  O40  1  0.733  0.359  0.892  1.0
  O  O41  1  0.692  0.806  0.755  1.0
  O  O42  1  0.737  0.764  0.909  1.0
[/CIF]
.
The material described by MgMn12Zn6O24 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(16), one O(21), one O(24), one O(4), and one O(9) atom to form MgO6 octahedra that share corners with three equivalent Mn(10)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and edges with two equivalent Zn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are twelve inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form distorted MnO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Mn(7)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(1), one O(12), one O(2), one O(4), one O(6), and one O(9) atom to form distorted MnO6 octahedra that share corners with three equivalent Mg(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Mn(7)O4 tetrahedra,  an edgeedge with one Zn(3)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the third Mn site, Mn(3) is bonded to one O(10), one O(11), one O(14), one O(15), one O(17), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(7)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with two equivalent Mn(9)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(1), one O(12), one O(2), one O(3), one O(8), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Mn(7)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(14), one O(17), one O(20), one O(5), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(7)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(9)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(13), one O(14), one O(15), one O(18), one O(19), and one O(20) atom to form MnO6 octahedra that share corners with three equivalent Zn(4)O4 tetrahedra, corners with three equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and  an edgeedge with one Mn(9)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(12), one O(17), one O(6), and one O(8) atom to form MnO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, and corners with three equivalent Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-65°. In the eighth Mn site, Mn(8) is bonded to one O(16), one O(18), one O(19), one O(21), one O(22), and one O(23) atom to form distorted MnO6 octahedra that share  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(11)O6 octahedra. In the ninth Mn site, Mn(9) is bonded to one O(10), one O(15), one O(17), one O(20), one O(5), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Mn(7)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. In the tenth Mn site, Mn(10) is bonded to one O(13), one O(16), one O(19), one O(21), one O(23), and one O(24) atom to form distorted MnO6 octahedra that share corners with three equivalent Mg(1)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(11)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the eleventh Mn site, Mn(11) is bonded to one O(13), one O(16), one O(18), one O(22), one O(23), and one O(24) atom to form MnO6 octahedra that share  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Zn(5)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(8)O6 octahedra. In the twelfth Mn site, Mn(12) is bonded in a rectangular see-saw-like geometry to one O(21), one O(22), one O(24), and one O(9) atom. There are six inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a 4-coordinate geometry to one O(1), one O(16), one O(3), and one O(4) atom. In the second Zn site, Zn(2) is bonded to one O(10), one O(11), one O(2), and one O(5) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, and corners with three equivalent Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-65°. In the third Zn site, Zn(3) is bonded to one O(10), one O(11), one O(12), one O(5), one O(6), and one O(8) atom to form ZnO6 octahedra that share corners with three equivalent Mn(7)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and  an edgeedge with one Mn(9)O6 octahedra. In the fourth Zn site, Zn(4) is bonded to one O(13), one O(18), one O(19), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(9)O6 octahedra, corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(11)O6 octahedra, corners with two equivalent Mn(8)O6 octahedra, and corners with three equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-67°. In the fifth Zn site, Zn(5) is bonded to one O(1), one O(21), one O(22), one O(24), one O(3), and one O(4) atom to form distorted ZnO6 octahedra that share  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(10)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(8)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. In the sixth Zn site, Zn(6) is bonded to one O(14), one O(15), one O(20), and one O(23) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(10)O6 octahedra,  a cornercorner with one Mn(11)O6 octahedra,  a cornercorner with one Mn(8)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(9)O6 octahedra, and corners with three equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-67°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Mn(2), one Mn(4), one Zn(1), and one Zn(5) atom to form distorted OMgMn2Zn2 square pyramids that share corners with two equivalent O(24)MgMn3Zn square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(9)MgMn4 trigonal bipyramid, corners with two equivalent O(12)Mn3Zn trigonal pyramids,  an edgeedge with one O(16)MgMn3Zn square pyramid,  an edgeedge with one O(3)Mn2Zn2 tetrahedra,  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid,  an edgeedge with one O(9)MgMn4 trigonal bipyramid, and edges with two equivalent O(4)MgMn2Zn2 trigonal bipyramids. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(2), one Mn(4), and one Zn(2) atom. In the third O site, O(3) is bonded to one Mn(1), one Mn(4), one Zn(1), and one Zn(5) atom to form OMn2Zn2 tetrahedra that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid,  a cornercorner with one O(16)MgMn3Zn square pyramid,  a cornercorner with one O(24)MgMn3Zn square pyramid,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  a cornercorner with one O(21)MgMn3Zn trigonal bipyramid, corners with two equivalent O(9)MgMn4 trigonal bipyramids,  a cornercorner with one O(12)Mn3Zn trigonal pyramid,  an edgeedge with one O(1)MgMn2Zn2 square pyramid, and  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Mn(1), one Mn(2), one Zn(1), and one Zn(5) atom to form distorted OMgMn2Zn2 trigonal bipyramids that share  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(9)MgMn4 trigonal bipyramid, corners with two equivalent O(21)MgMn3Zn trigonal bipyramids,  a cornercorner with one O(12)Mn3Zn trigonal pyramid,  an edgeedge with one O(16)MgMn3Zn square pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid, edges with two equivalent O(1)MgMn2Zn2 square pyramids,  an edgeedge with one O(3)Mn2Zn2 tetrahedra, and  an edgeedge with one O(9)MgMn4 trigonal bipyramid. In the fifth O site, O(5) is bonded to one Mn(5), one Mn(9), one Zn(2), and one Zn(3) atom to form distorted corner-sharing OMn2Zn2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(2), one Mn(7), and one Zn(3) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Mn(9), and one Zn(4) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mn(1), one Mn(4), one Mn(7), and one Zn(3) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Mn(1), one Mn(12), one Mn(2), and one Mn(4) atom to form distorted OMgMn4 trigonal bipyramids that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid,  a cornercorner with one O(16)MgMn3Zn square pyramid,  a cornercorner with one O(22)Mn3Zn tetrahedra, corners with two equivalent O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(1)MgMn2Zn2 square pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid,  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid, and  an edgeedge with one O(12)Mn3Zn trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(9), one Zn(2), and one Zn(3) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Zn(2), and one Zn(3) atom. In the twelfth O site, O(12) is bonded to one Mn(2), one Mn(4), one Mn(7), and one Zn(3) atom to form distorted OMn3Zn trigonal pyramids that share corners with two equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  a cornercorner with one O(5)Mn2Zn2 trigonal pyramid, and  an edgeedge with one O(9)MgMn4 trigonal bipyramid. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Mn(10), one Mn(11), one Mn(6), and one Zn(4) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Mn(6), and one Zn(6) atom. In the fifteenth O site, O(15) is bonded to one Mn(3), one Mn(6), one Mn(9), and one Zn(6) atom to form distorted OMn3Zn trigonal pyramids that share  a cornercorner with one O(5)Mn2Zn2 trigonal pyramid and  a cornercorner with one O(19)Mn3Zn trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Mg(1), one Mn(10), one Mn(11), one Mn(8), and one Zn(1) atom to form distorted OMgMn3Zn square pyramids that share  a cornercorner with one O(24)MgMn3Zn square pyramid,  a cornercorner with one O(3)Mn2Zn2 tetrahedra, corners with two equivalent O(22)Mn3Zn tetrahedra,  a cornercorner with one O(21)MgMn3Zn trigonal bipyramid,  a cornercorner with one O(9)MgMn4 trigonal bipyramid,  an edgeedge with one O(1)MgMn2Zn2 square pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid,  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid, and  an edgeedge with one O(19)Mn3Zn trigonal pyramid. In the seventeenth O site, O(17) is bonded in a distorted rectangular see-saw-like geometry to one Mn(3), one Mn(5), one Mn(7), and one Mn(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mn(11), one Mn(6), one Mn(8), and one Zn(4) atom. In the nineteenth O site, O(19) is bonded to one Mn(10), one Mn(6), one Mn(8), and one Zn(4) atom to form distorted OMn3Zn trigonal pyramids that share  a cornercorner with one O(24)MgMn3Zn square pyramid,  a cornercorner with one O(22)Mn3Zn tetrahedra, corners with two equivalent O(21)MgMn3Zn trigonal bipyramids,  a cornercorner with one O(15)Mn3Zn trigonal pyramid, and  an edgeedge with one O(16)MgMn3Zn square pyramid. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Mn(5), one Mn(6), one Mn(9), and one Zn(6) atom. In the twenty-first O site, O(21) is bonded to one Mg(1), one Mn(10), one Mn(12), one Mn(8), and one Zn(5) atom to form distorted OMgMn3Zn trigonal bipyramids that share  a cornercorner with one O(16)MgMn3Zn square pyramid,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra, corners with two equivalent O(4)MgMn2Zn2 trigonal bipyramids, corners with two equivalent O(19)Mn3Zn trigonal pyramids,  an edgeedge with one O(1)MgMn2Zn2 square pyramid,  an edgeedge with one O(16)MgMn3Zn square pyramid, edges with two equivalent O(24)MgMn3Zn square pyramids,  an edgeedge with one O(22)Mn3Zn tetrahedra, and  an edgeedge with one O(9)MgMn4 trigonal bipyramid. In the twenty-second O site, O(22) is bonded to one Mn(11), one Mn(12), one Mn(8), and one Zn(5) atom to form OMn3Zn tetrahedra that share  a cornercorner with one O(1)MgMn2Zn2 square pyramid,  a cornercorner with one O(24)MgMn3Zn square pyramid, corners with two equivalent O(16)MgMn3Zn square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(4)MgMn2Zn2 trigonal bipyramid,  a cornercorner with one O(21)MgMn3Zn trigonal bipyramid,  a cornercorner with one O(9)MgMn4 trigonal bipyramid,  a cornercorner with one O(19)Mn3Zn trigonal pyramid,  an edgeedge with one O(24)MgMn3Zn square pyramid, and  an edgeedge with one O(21)MgMn3Zn trigonal bipyramid. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Mn(10), one Mn(11), one Mn(8), and one Zn(6) atom. In the twenty-fourth O site, O(24) is bonded to one Mg(1), one Mn(10), one Mn(11), one Mn(12), and one Zn(5) atom to form distorted OMgMn3Zn square pyramids that share  a cornercorner with one O(16)MgMn3Zn square pyramid, corners with two equivalent O(1)MgMn2Zn2 square pyramids,  a cornercorner with one O(3)Mn2Zn2 tetrahedra,  a cornercorner with one O(22)Mn3Zn tetrahedra,  a cornercorner with one O(19)Mn3Zn trigonal pyramid,  an edgeedge with one O(16)MgMn3Zn square pyramid,  an edgeedge with one O(22)Mn3Zn tetrahedra,  an edgeedge with one O(4)MgMn2Zn2 trigonal bipyramid,  an edgeedge with one O(9)MgMn4 trigonal bipyramid, and edges with two equivalent O(21)MgMn3Zn trigonal bipyramids. is represented by the CIF card [CIF]
data_MgMn12Zn6O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.186
_cell_length_b   6.316
_cell_length_c   17.747
_cell_angle_alpha   62.493
_cell_angle_beta   60.842
_cell_angle_gamma   57.271
_symmetry_Int_Tables_number   1
_cell_volume   490.451
_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  0.011  0.485  0.999  1.0
  Mn  Mn1  1  0.512  0.451  0.174  1.0
  Mn  Mn2  1  0.505  0.959  0.168  1.0
  Mn  Mn3  1  0.507  0.505  0.499  1.0
  Mn  Mn4  1  0.009  0.454  0.174  1.0
  Mn  Mn5  1  0.509  0.008  0.500  1.0
  Mn  Mn6  1  0.492  0.514  0.664  1.0
  Mn  Mn7  1  0.875  0.859  0.293  1.0
  Mn  Mn8  1  0.480  0.550  0.824  1.0
  Mn  Mn9  1  0.008  0.506  0.501  1.0
  Mn  Mn10  1  0.480  0.031  0.834  1.0
  Mn  Mn11  1  0.983  0.537  0.825  1.0
  Mn  Mn12  1  0.806  0.988  0.951  1.0
  Zn  Zn13  1  0.136  0.009  0.072  1.0
  Zn  Zn14  1  0.137  0.106  0.382  1.0
  Zn  Zn15  1  0.501  0.492  0.337  1.0
  Zn  Zn16  1  0.110  0.144  0.708  1.0
  Zn  Zn17  1  0.498  0.522  0.995  1.0
  Zn  Zn18  1  0.865  0.901  0.621  1.0
  O  O19  1  0.259  0.223  0.089  1.0
  O  O20  1  0.301  0.191  0.244  1.0
  O  O21  1  0.256  0.644  0.103  1.0
  O  O22  1  0.765  0.270  0.076  1.0
  O  O23  1  0.267  0.253  0.425  1.0
  O  O24  1  0.292  0.702  0.243  1.0
  O  O25  1  0.252  0.258  0.576  1.0
  O  O26  1  0.771  0.266  0.239  1.0
  O  O27  1  0.746  0.741  0.081  1.0
  O  O28  1  0.272  0.719  0.426  1.0
  O  O29  1  0.734  0.265  0.423  1.0
  O  O30  1  0.754  0.722  0.239  1.0
  O  O31  1  0.236  0.273  0.760  1.0
  O  O32  1  0.275  0.732  0.584  1.0
  O  O33  1  0.728  0.294  0.581  1.0
  O  O34  1  0.255  0.240  0.919  1.0
  O  O35  1  0.754  0.747  0.430  1.0
  O  O36  1  0.231  0.731  0.754  1.0
  O  O37  1  0.701  0.301  0.750  1.0
  O  O38  1  0.738  0.752  0.579  1.0
  O  O39  1  0.222  0.727  0.920  1.0
  O  O40  1  0.733  0.359  0.892  1.0
  O  O41  1  0.692  0.806  0.755  1.0
  O  O42  1  0.737  0.764  0.909  1.0
[/CIF]
.