The crystal structure described by Mg10(Fe3O8)3 crystallizes in the triclinic P1 space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(10), one O(12), one O(3), one O(4), and one O(6) atom to form MgO6 octahedra that share  a cornercorner with one Fe(1)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Mg(3)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. In the second Mg site, Mg(2) is bonded to one O(1), one O(2), one O(21), one O(22), one O(24), and one O(4) atom to form MgO6 octahedra that share corners with three equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(10)O6 octahedra,  an edgeedge with one Mg(9)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  an edgeedge with one Fe(9)O6 octahedra. In the third Mg site, Mg(3) is bonded to one O(12), one O(18), one O(6), and one O(8) atom to form MgO4 tetrahedra that share  a cornercorner with one Mg(4)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(8)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-60°. In the fourth Mg site, Mg(4) is bonded to one O(11), one O(14), one O(18), one O(19), one O(5), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Mg(3)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Fe(5)O6 octahedra, and edges with two equivalent Fe(8)O6 octahedra. In the fifth Mg site, Mg(5) is bonded to one O(11), one O(12), one O(5), one O(6), one O(7), and one O(8) atom to form MgO6 octahedra that share corners with three equivalent Mg(3)O4 tetrahedra, corners with three equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  an edgeedge with one Fe(8)O6 octahedra. In the sixth Mg site, Mg(6) is bonded to one O(13), one O(15), one O(16), one O(19), one O(23), and one O(9) atom to form MgO6 octahedra that share corners with three equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(9)O6 octahedra,  an edgeedge with one Mg(10)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mg(9)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, and edges with two equivalent Mg(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the seventh Mg site, Mg(7) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(19), and one O(23) atom. In the eighth Mg site, Mg(8) is bonded to one O(13), one O(14), one O(15), one O(16), one O(19), and one O(20) atom to form MgO6 octahedra that share  an edgeedge with one Mg(10)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mg(9)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. In the ninth Mg site, Mg(9) is bonded to one O(13), one O(17), one O(20), one O(21), one O(23), and one O(24) atom to form MgO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Fe(9)O6 octahedra. In the tenth Mg site, Mg(10) is bonded to one O(15), one O(17), one O(20), one O(21), one O(22), and one O(23) atom to form MgO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(9)O6 octahedra, and edges with two equivalent Fe(9)O6 octahedra. There are nine inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(10), one O(21), one O(22), and one O(24) atom to form FeO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Mg(10)O6 octahedra, corners with two equivalent Mg(9)O6 octahedra, corners with two equivalent Fe(9)O6 octahedra, and corners with three equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-59°. In the second Fe site, Fe(2) is bonded to one O(1), one O(17), one O(2), and one O(4) atom to form FeO4 tetrahedra that share  a cornercorner with one Mg(10)O6 octahedra,  a cornercorner with one Mg(9)O6 octahedra,  a cornercorner with one Fe(9)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, and corners with three equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-60°. In the third Fe site, Fe(3) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Mg(3)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to one O(11), one O(3), one O(5), and one O(7) atom to form FeO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Mg(4)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the fifth Fe site, Fe(5) is bonded to one O(16), one O(18), one O(19), one O(5), one O(7), and one O(9) atom to form FeO6 octahedra that share corners with three equivalent Mg(6)O6 octahedra,  a cornercorner with one Mg(3)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Fe(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-2°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Mg(3)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the seventh Fe site, Fe(7) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(15), one O(20), and one O(9) atom. In the eighth Fe site, Fe(8) is bonded to one O(11), one O(14), one O(16), one O(18), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Mg(3)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. In the ninth Fe site, Fe(9) is bonded to one O(13), one O(15), one O(17), one O(22), one O(23), and one O(24) atom to form FeO6 octahedra that share corners with three equivalent Mg(6)O6 octahedra,  a cornercorner with one Fe(2)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(2), one Fe(2), and one Fe(3) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Fe(2), one Fe(3), and one Fe(6) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(3), one Fe(4), and one Fe(6) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Mg(2), one Fe(2), and one Fe(6) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(4), one Mg(5), one Fe(4), and one Fe(5) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Mg(3), one Mg(5), and one Fe(6) atom to form distorted OMg3Fe trigonal pyramids that share  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  a cornercorner with one O(12)Mg3Fe trigonal pyramid, and  an edgeedge with one O(12)Mg3Fe trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(5), one Fe(4), one Fe(5), and one Fe(8) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(3), one Mg(5), one Fe(3), and one Fe(6) atom. In the ninth O site, O(9) is bonded to one Mg(4), one Mg(6), one Fe(5), one Fe(7), and one Fe(8) atom to form OMg2Fe3 square pyramids that share  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid,  a cornercorner with one O(23)Mg4Fe square pyramid,  a cornercorner with one O(20)Mg3Fe tetrahedra, corners with two equivalent O(14)Mg3Fe tetrahedra,  an edgeedge with one O(13)Mg3Fe2 square pyramid,  an edgeedge with one O(15)Mg3Fe2 square pyramid,  an edgeedge with one O(16)Mg3Fe2 square pyramid,  an edgeedge with one O(19)Mg4Fe square pyramid, and  an edgeedge with one O(11)Mg2Fe2 trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Fe(3), and one Fe(6) atom. In the eleventh O site, O(11) is bonded to one Mg(4), one Mg(5), one Fe(4), and one Fe(8) atom to form distorted OMg2Fe2 trigonal pyramids that share  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid, corners with two equivalent O(14)Mg3Fe tetrahedra,  a cornercorner with one O(12)Mg3Fe trigonal pyramid,  a cornercorner with one O(6)Mg3Fe trigonal pyramid, and  an edgeedge with one O(9)Mg2Fe3 square pyramid. In the twelfth O site, O(12) is bonded to one Mg(1), one Mg(3), one Mg(5), and one Fe(3) atom to form distorted OMg3Fe trigonal pyramids that share  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  a cornercorner with one O(6)Mg3Fe trigonal pyramid, and  an edgeedge with one O(6)Mg3Fe trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Mg(6), one Mg(8), one Mg(9), one Fe(7), and one Fe(9) atom to form OMg3Fe2 square pyramids that share  a cornercorner with one O(23)Mg4Fe square pyramid, corners with two equivalent O(19)Mg4Fe square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(16)Mg3Fe2 square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(15)Mg3Fe2 square pyramids, and  an edgeedge with one O(20)Mg3Fe tetrahedra. In the fourteenth O site, O(14) is bonded to one Mg(4), one Mg(7), one Mg(8), and one Fe(8) atom to form OMg3Fe tetrahedra that share  a cornercorner with one O(13)Mg3Fe2 square pyramid,  a cornercorner with one O(15)Mg3Fe2 square pyramid,  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid,  a cornercorner with one O(23)Mg4Fe square pyramid, corners with two equivalent O(9)Mg2Fe3 square pyramids,  a cornercorner with one O(20)Mg3Fe tetrahedra, corners with two equivalent O(11)Mg2Fe2 trigonal pyramids,  an edgeedge with one O(16)Mg3Fe2 square pyramid, and  an edgeedge with one O(19)Mg4Fe square pyramid. In the fifteenth O site, O(15) is bonded to one Mg(10), one Mg(6), one Mg(8), one Fe(7), and one Fe(9) atom to form OMg3Fe2 square pyramids that share  a cornercorner with one O(23)Mg4Fe square pyramid, corners with two equivalent O(16)Mg3Fe2 square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(19)Mg4Fe square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(13)Mg3Fe2 square pyramids, and  an edgeedge with one O(20)Mg3Fe tetrahedra. In the sixteenth O site, O(16) is bonded to one Mg(6), one Mg(7), one Mg(8), one Fe(5), and one Fe(8) atom to form OMg3Fe2 square pyramids that share  a cornercorner with one O(9)Mg2Fe3 square pyramid, corners with two equivalent O(15)Mg3Fe2 square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(13)Mg3Fe2 square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(19)Mg4Fe square pyramids, and  an edgeedge with one O(14)Mg3Fe tetrahedra. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Mg(10), one Mg(9), one Fe(2), and one Fe(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mg(3), one Mg(4), one Fe(5), and one Fe(8) atom. In the nineteenth O site, O(19) is bonded to one Mg(4), one Mg(6), one Mg(7), one Mg(8), and one Fe(5) atom to form OMg4Fe square pyramids that share  a cornercorner with one O(9)Mg2Fe3 square pyramid, corners with two equivalent O(13)Mg3Fe2 square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(15)Mg3Fe2 square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(16)Mg3Fe2 square pyramids, and  an edgeedge with one O(14)Mg3Fe tetrahedra. In the twentieth O site, O(20) is bonded to one Mg(10), one Mg(8), one Mg(9), and one Fe(7) atom to form OMg3Fe tetrahedra that share  a cornercorner with one O(9)Mg2Fe3 square pyramid,  a cornercorner with one O(13)Mg3Fe2 square pyramid,  a cornercorner with one O(15)Mg3Fe2 square pyramid,  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid, corners with two equivalent O(23)Mg4Fe square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  an edgeedge with one O(13)Mg3Fe2 square pyramid, and  an edgeedge with one O(15)Mg3Fe2 square pyramid. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Mg(10), one Mg(2), one Mg(9), and one Fe(1) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one Mg(10), one Mg(2), one Fe(1), and one Fe(9) atom. In the twenty-third O site, O(23) is bonded to one Mg(10), one Mg(6), one Mg(7), one Mg(9), and one Fe(9) atom to form OMg4Fe square pyramids that share  a cornercorner with one O(9)Mg2Fe3 square pyramid,  a cornercorner with one O(13)Mg3Fe2 square pyramid,  a cornercorner with one O(15)Mg3Fe2 square pyramid,  a cornercorner with one O(14)Mg3Fe tetrahedra, corners with two equivalent O(20)Mg3Fe tetrahedra,  an edgeedge with one O(13)Mg3Fe2 square pyramid,  an edgeedge with one O(15)Mg3Fe2 square pyramid,  an edgeedge with one O(16)Mg3Fe2 square pyramid, and  an edgeedge with one O(19)Mg4Fe square pyramid. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(9), one Fe(1), and one Fe(9) atom. is represented by the CIF card [CIF]
data_Mg10(Fe3O8)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.968
_cell_length_b   6.110
_cell_length_c   14.704
_cell_angle_alpha   90.835
_cell_angle_beta   90.389
_cell_angle_gamma   118.761
_symmetry_Int_Tables_number   1
_cell_volume   469.929
_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  0.834  0.166  0.792  1.0
  Mg  Mg1  1  0.666  0.336  0.958  1.0
  Mg  Mg2  1  0.334  0.650  0.673  1.0
  Mg  Mg3  1  0.159  0.814  0.465  1.0
  Mg  Mg4  1  1.000  0.998  0.627  1.0
  Mg  Mg5  1  0.834  0.658  0.291  1.0
  Mg  Mg6  1  0.628  0.242  0.343  1.0
  Mg  Mg7  1  0.334  0.666  0.293  1.0
  Mg  Mg8  1  0.509  0.518  0.117  1.0
  Mg  Mg9  1  0.008  0.517  0.117  1.0
  Fe  Fe10  1  0.997  0.991  0.004  1.0
  Fe  Fe11  1  0.334  0.684  0.914  1.0
  Fe  Fe12  1  0.836  0.674  0.790  1.0
  Fe  Fe13  1  0.658  0.334  0.581  1.0
  Fe  Fe14  1  0.159  0.327  0.455  1.0
  Fe  Fe15  1  0.329  0.166  0.790  1.0
  Fe  Fe16  1  0.040  0.088  0.240  1.0
  Fe  Fe17  1  0.647  0.808  0.465  1.0
  Fe  Fe18  1  0.511  0.021  0.126  1.0
  O  O19  1  0.984  0.502  0.870  1.0
  O  O20  1  0.509  0.498  0.869  1.0
  O  O21  1  0.667  0.336  0.714  1.0
  O  O22  1  0.503  0.025  0.870  1.0
  O  O23  1  0.312  0.155  0.536  1.0
  O  O24  1  0.161  0.300  0.715  1.0
  O  O25  1  0.838  0.153  0.536  1.0
  O  O26  1  0.157  0.841  0.716  1.0
  O  O27  1  0.995  0.993  0.373  1.0
  O  O28  1  0.001  0.997  0.871  1.0
  O  O29  1  0.835  0.678  0.540  1.0
  O  O30  1  0.694  0.836  0.716  1.0
  O  O31  1  0.678  0.849  0.211  1.0
  O  O32  1  0.468  0.925  0.389  1.0
  O  O33  1  0.171  0.852  0.212  1.0
  O  O34  1  0.502  0.495  0.374  1.0
  O  O35  1  0.346  0.697  0.045  1.0
  O  O36  1  0.325  0.637  0.535  1.0
  O  O37  1  0.998  0.489  0.373  1.0
  O  O38  1  0.202  0.402  0.198  1.0
  O  O39  1  0.826  0.656  0.041  1.0
  O  O40  1  0.824  0.175  0.046  1.0
  O  O41  1  0.675  0.344  0.206  1.0
  O  O42  1  0.350  0.177  0.047  1.0
[/CIF]
.
The crystal structure described by Mg10(Fe3O8)3 crystallizes in the triclinic P1 space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(10), one O(12), one O(3), one O(4), and one O(6) atom to form MgO6 octahedra that share  a cornercorner with one Fe(1)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Mg(3)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. In the second Mg site, Mg(2) is bonded to one O(1), one O(2), one O(21), one O(22), one O(24), and one O(4) atom to form MgO6 octahedra that share corners with three equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(10)O6 octahedra,  an edgeedge with one Mg(9)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  an edgeedge with one Fe(9)O6 octahedra. In the third Mg site, Mg(3) is bonded to one O(12), one O(18), one O(6), and one O(8) atom to form MgO4 tetrahedra that share  a cornercorner with one Mg(4)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(8)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-60°. In the fourth Mg site, Mg(4) is bonded to one O(11), one O(14), one O(18), one O(19), one O(5), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Mg(3)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Fe(5)O6 octahedra, and edges with two equivalent Fe(8)O6 octahedra. In the fifth Mg site, Mg(5) is bonded to one O(11), one O(12), one O(5), one O(6), one O(7), and one O(8) atom to form MgO6 octahedra that share corners with three equivalent Mg(3)O4 tetrahedra, corners with three equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  an edgeedge with one Fe(8)O6 octahedra. In the sixth Mg site, Mg(6) is bonded to one O(13), one O(15), one O(16), one O(19), one O(23), and one O(9) atom to form MgO6 octahedra that share corners with three equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(9)O6 octahedra,  an edgeedge with one Mg(10)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mg(9)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, and edges with two equivalent Mg(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the seventh Mg site, Mg(7) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(19), and one O(23) atom. In the eighth Mg site, Mg(8) is bonded to one O(13), one O(14), one O(15), one O(16), one O(19), and one O(20) atom to form MgO6 octahedra that share  an edgeedge with one Mg(10)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Mg(9)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. In the ninth Mg site, Mg(9) is bonded to one O(13), one O(17), one O(20), one O(21), one O(23), and one O(24) atom to form MgO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Fe(9)O6 octahedra. In the tenth Mg site, Mg(10) is bonded to one O(15), one O(17), one O(20), one O(21), one O(22), and one O(23) atom to form MgO6 octahedra that share  a cornercorner with one Fe(2)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(9)O6 octahedra, and edges with two equivalent Fe(9)O6 octahedra. There are nine inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(10), one O(21), one O(22), and one O(24) atom to form FeO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Mg(10)O6 octahedra, corners with two equivalent Mg(9)O6 octahedra, corners with two equivalent Fe(9)O6 octahedra, and corners with three equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-59°. In the second Fe site, Fe(2) is bonded to one O(1), one O(17), one O(2), and one O(4) atom to form FeO4 tetrahedra that share  a cornercorner with one Mg(10)O6 octahedra,  a cornercorner with one Mg(9)O6 octahedra,  a cornercorner with one Fe(9)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, and corners with three equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-60°. In the third Fe site, Fe(3) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Mg(3)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Fe(6)O6 octahedra. In the fourth Fe site, Fe(4) is bonded to one O(11), one O(3), one O(5), and one O(7) atom to form FeO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Mg(4)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the fifth Fe site, Fe(5) is bonded to one O(16), one O(18), one O(19), one O(5), one O(7), and one O(9) atom to form FeO6 octahedra that share corners with three equivalent Mg(6)O6 octahedra,  a cornercorner with one Mg(3)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Fe(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-2°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Fe(1)O4 tetrahedra,  a cornercorner with one Fe(4)O4 tetrahedra, corners with two equivalent Mg(3)O4 tetrahedra, corners with two equivalent Fe(2)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the seventh Fe site, Fe(7) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(15), one O(20), and one O(9) atom. In the eighth Fe site, Fe(8) is bonded to one O(11), one O(14), one O(16), one O(18), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Mg(3)O4 tetrahedra, corners with two equivalent Fe(4)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Fe(5)O6 octahedra. In the ninth Fe site, Fe(9) is bonded to one O(13), one O(15), one O(17), one O(22), one O(23), and one O(24) atom to form FeO6 octahedra that share corners with three equivalent Mg(6)O6 octahedra,  a cornercorner with one Fe(2)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(2), one Fe(2), and one Fe(3) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Fe(2), one Fe(3), and one Fe(6) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(3), one Fe(4), and one Fe(6) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Mg(2), one Fe(2), and one Fe(6) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(4), one Mg(5), one Fe(4), and one Fe(5) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Mg(3), one Mg(5), and one Fe(6) atom to form distorted OMg3Fe trigonal pyramids that share  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  a cornercorner with one O(12)Mg3Fe trigonal pyramid, and  an edgeedge with one O(12)Mg3Fe trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(5), one Fe(4), one Fe(5), and one Fe(8) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(3), one Mg(5), one Fe(3), and one Fe(6) atom. In the ninth O site, O(9) is bonded to one Mg(4), one Mg(6), one Fe(5), one Fe(7), and one Fe(8) atom to form OMg2Fe3 square pyramids that share  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid,  a cornercorner with one O(23)Mg4Fe square pyramid,  a cornercorner with one O(20)Mg3Fe tetrahedra, corners with two equivalent O(14)Mg3Fe tetrahedra,  an edgeedge with one O(13)Mg3Fe2 square pyramid,  an edgeedge with one O(15)Mg3Fe2 square pyramid,  an edgeedge with one O(16)Mg3Fe2 square pyramid,  an edgeedge with one O(19)Mg4Fe square pyramid, and  an edgeedge with one O(11)Mg2Fe2 trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Fe(3), and one Fe(6) atom. In the eleventh O site, O(11) is bonded to one Mg(4), one Mg(5), one Fe(4), and one Fe(8) atom to form distorted OMg2Fe2 trigonal pyramids that share  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid, corners with two equivalent O(14)Mg3Fe tetrahedra,  a cornercorner with one O(12)Mg3Fe trigonal pyramid,  a cornercorner with one O(6)Mg3Fe trigonal pyramid, and  an edgeedge with one O(9)Mg2Fe3 square pyramid. In the twelfth O site, O(12) is bonded to one Mg(1), one Mg(3), one Mg(5), and one Fe(3) atom to form distorted OMg3Fe trigonal pyramids that share  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  a cornercorner with one O(6)Mg3Fe trigonal pyramid, and  an edgeedge with one O(6)Mg3Fe trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Mg(6), one Mg(8), one Mg(9), one Fe(7), and one Fe(9) atom to form OMg3Fe2 square pyramids that share  a cornercorner with one O(23)Mg4Fe square pyramid, corners with two equivalent O(19)Mg4Fe square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(16)Mg3Fe2 square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(15)Mg3Fe2 square pyramids, and  an edgeedge with one O(20)Mg3Fe tetrahedra. In the fourteenth O site, O(14) is bonded to one Mg(4), one Mg(7), one Mg(8), and one Fe(8) atom to form OMg3Fe tetrahedra that share  a cornercorner with one O(13)Mg3Fe2 square pyramid,  a cornercorner with one O(15)Mg3Fe2 square pyramid,  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid,  a cornercorner with one O(23)Mg4Fe square pyramid, corners with two equivalent O(9)Mg2Fe3 square pyramids,  a cornercorner with one O(20)Mg3Fe tetrahedra, corners with two equivalent O(11)Mg2Fe2 trigonal pyramids,  an edgeedge with one O(16)Mg3Fe2 square pyramid, and  an edgeedge with one O(19)Mg4Fe square pyramid. In the fifteenth O site, O(15) is bonded to one Mg(10), one Mg(6), one Mg(8), one Fe(7), and one Fe(9) atom to form OMg3Fe2 square pyramids that share  a cornercorner with one O(23)Mg4Fe square pyramid, corners with two equivalent O(16)Mg3Fe2 square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(19)Mg4Fe square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(13)Mg3Fe2 square pyramids, and  an edgeedge with one O(20)Mg3Fe tetrahedra. In the sixteenth O site, O(16) is bonded to one Mg(6), one Mg(7), one Mg(8), one Fe(5), and one Fe(8) atom to form OMg3Fe2 square pyramids that share  a cornercorner with one O(9)Mg2Fe3 square pyramid, corners with two equivalent O(15)Mg3Fe2 square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(13)Mg3Fe2 square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(19)Mg4Fe square pyramids, and  an edgeedge with one O(14)Mg3Fe tetrahedra. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Mg(10), one Mg(9), one Fe(2), and one Fe(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mg(3), one Mg(4), one Fe(5), and one Fe(8) atom. In the nineteenth O site, O(19) is bonded to one Mg(4), one Mg(6), one Mg(7), one Mg(8), and one Fe(5) atom to form OMg4Fe square pyramids that share  a cornercorner with one O(9)Mg2Fe3 square pyramid, corners with two equivalent O(13)Mg3Fe2 square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  a cornercorner with one O(20)Mg3Fe tetrahedra,  a cornercorner with one O(11)Mg2Fe2 trigonal pyramid,  an edgeedge with one O(9)Mg2Fe3 square pyramid,  an edgeedge with one O(15)Mg3Fe2 square pyramid,  an edgeedge with one O(23)Mg4Fe square pyramid, edges with two equivalent O(16)Mg3Fe2 square pyramids, and  an edgeedge with one O(14)Mg3Fe tetrahedra. In the twentieth O site, O(20) is bonded to one Mg(10), one Mg(8), one Mg(9), and one Fe(7) atom to form OMg3Fe tetrahedra that share  a cornercorner with one O(9)Mg2Fe3 square pyramid,  a cornercorner with one O(13)Mg3Fe2 square pyramid,  a cornercorner with one O(15)Mg3Fe2 square pyramid,  a cornercorner with one O(16)Mg3Fe2 square pyramid,  a cornercorner with one O(19)Mg4Fe square pyramid, corners with two equivalent O(23)Mg4Fe square pyramids,  a cornercorner with one O(14)Mg3Fe tetrahedra,  an edgeedge with one O(13)Mg3Fe2 square pyramid, and  an edgeedge with one O(15)Mg3Fe2 square pyramid. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Mg(10), one Mg(2), one Mg(9), and one Fe(1) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one Mg(10), one Mg(2), one Fe(1), and one Fe(9) atom. In the twenty-third O site, O(23) is bonded to one Mg(10), one Mg(6), one Mg(7), one Mg(9), and one Fe(9) atom to form OMg4Fe square pyramids that share  a cornercorner with one O(9)Mg2Fe3 square pyramid,  a cornercorner with one O(13)Mg3Fe2 square pyramid,  a cornercorner with one O(15)Mg3Fe2 square pyramid,  a cornercorner with one O(14)Mg3Fe tetrahedra, corners with two equivalent O(20)Mg3Fe tetrahedra,  an edgeedge with one O(13)Mg3Fe2 square pyramid,  an edgeedge with one O(15)Mg3Fe2 square pyramid,  an edgeedge with one O(16)Mg3Fe2 square pyramid, and  an edgeedge with one O(19)Mg4Fe square pyramid. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(9), one Fe(1), and one Fe(9) atom. is represented by the CIF card [CIF]
data_Mg10(Fe3O8)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.968
_cell_length_b   6.110
_cell_length_c   14.704
_cell_angle_alpha   90.835
_cell_angle_beta   90.389
_cell_angle_gamma   118.761
_symmetry_Int_Tables_number   1
_cell_volume   469.929
_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  0.834  0.166  0.792  1.0
  Mg  Mg1  1  0.666  0.336  0.958  1.0
  Mg  Mg2  1  0.334  0.650  0.673  1.0
  Mg  Mg3  1  0.159  0.814  0.465  1.0
  Mg  Mg4  1  1.000  0.998  0.627  1.0
  Mg  Mg5  1  0.834  0.658  0.291  1.0
  Mg  Mg6  1  0.628  0.242  0.343  1.0
  Mg  Mg7  1  0.334  0.666  0.293  1.0
  Mg  Mg8  1  0.509  0.518  0.117  1.0
  Mg  Mg9  1  0.008  0.517  0.117  1.0
  Fe  Fe10  1  0.997  0.991  0.004  1.0
  Fe  Fe11  1  0.334  0.684  0.914  1.0
  Fe  Fe12  1  0.836  0.674  0.790  1.0
  Fe  Fe13  1  0.658  0.334  0.581  1.0
  Fe  Fe14  1  0.159  0.327  0.455  1.0
  Fe  Fe15  1  0.329  0.166  0.790  1.0
  Fe  Fe16  1  0.040  0.088  0.240  1.0
  Fe  Fe17  1  0.647  0.808  0.465  1.0
  Fe  Fe18  1  0.511  0.021  0.126  1.0
  O  O19  1  0.984  0.502  0.870  1.0
  O  O20  1  0.509  0.498  0.869  1.0
  O  O21  1  0.667  0.336  0.714  1.0
  O  O22  1  0.503  0.025  0.870  1.0
  O  O23  1  0.312  0.155  0.536  1.0
  O  O24  1  0.161  0.300  0.715  1.0
  O  O25  1  0.838  0.153  0.536  1.0
  O  O26  1  0.157  0.841  0.716  1.0
  O  O27  1  0.995  0.993  0.373  1.0
  O  O28  1  0.001  0.997  0.871  1.0
  O  O29  1  0.835  0.678  0.540  1.0
  O  O30  1  0.694  0.836  0.716  1.0
  O  O31  1  0.678  0.849  0.211  1.0
  O  O32  1  0.468  0.925  0.389  1.0
  O  O33  1  0.171  0.852  0.212  1.0
  O  O34  1  0.502  0.495  0.374  1.0
  O  O35  1  0.346  0.697  0.045  1.0
  O  O36  1  0.325  0.637  0.535  1.0
  O  O37  1  0.998  0.489  0.373  1.0
  O  O38  1  0.202  0.402  0.198  1.0
  O  O39  1  0.826  0.656  0.041  1.0
  O  O40  1  0.824  0.175  0.046  1.0
  O  O41  1  0.675  0.344  0.206  1.0
  O  O42  1  0.350  0.177  0.047  1.0
[/CIF]
.