The compound described by Mg5Mn3Zn4(SiO6)4 crystallizes in the monoclinic Cm space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(3), one O(4), one O(7), one O(8), and two equivalent O(1) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 20°. In the second Mg site, Mg(2) is bonded to one O(10), one O(5), one O(6), one O(9), and two equivalent O(2) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the third Mg site, Mg(3) is bonded in a 6-coordinate geometry to one O(3), one O(7), two equivalent O(1), and two equivalent O(11) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4), one O(8), two equivalent O(1), and two equivalent O(12) atoms to form MnO6 octahedra that share corners with two equivalent Zn(2)O4 tetrahedra, corners with three equivalent Si(2)O4 tetrahedra, and edges with four equivalent Mg(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(5), one O(9), two equivalent O(13), and two equivalent O(2) atoms to form MnO6 octahedra that share corners with two equivalent Zn(2)O4 tetrahedra, corners with three equivalent Si(3)O4 tetrahedra,  an edgeedge with one Mn(3)O6 octahedra, and edges with four equivalent Mg(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(6), two equivalent O(14), and two equivalent O(2) atoms to form MnO6 octahedra that share corners with two equivalent Zn(1)O4 tetrahedra, corners with three equivalent Si(4)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with four equivalent Mg(2)O6 octahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(11), one O(14), one O(15), and one O(18) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Zn(1)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and corners with two equivalent Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. In the second Zn site, Zn(2) is bonded to one O(12), one O(13), one O(16), and one O(17) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and corners with two equivalent Si(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 64-65°. There are four inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(15), one O(7), and two equivalent O(11) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with four equivalent Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the second Si site, Si(2) is bonded to one O(16), one O(8), and two equivalent O(12) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the third Si site, Si(3) is bonded to one O(17), one O(9), and two equivalent O(13) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the fourth Si site, Si(4) is bonded to one O(10), one O(18), and two equivalent O(14) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with three equivalent Mn(3)O6 octahedra, and corners with four equivalent Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-58°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(3), two equivalent Mg(1), and one Mn(1) atom. In the second O site, O(2) is bonded in a see-saw-like geometry to two equivalent Mg(2), one Mn(2), and one Mn(3) atom. In the third O site, O(3) is bonded in a trigonal non-coplanar geometry to one Mg(3) and two equivalent Mg(1) atoms. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to two equivalent Mg(1) and one Mn(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mg(2) and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mg(2) and one Mn(3) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(3), two equivalent Mg(1), and one Si(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal pyramidal geometry to two equivalent Mg(1), one Mn(1), and one Si(2) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mg(2), one Mn(2), and one Si(3) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(2), one Mn(3), and one Si(4) atom. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Mg(3), one Zn(1), and one Si(1) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Mn(1), one Zn(2), and one Si(2) atom. In the thirteenth O site, O(13) is bonded in a trigonal planar geometry to one Mn(2), one Zn(2), and one Si(3) atom. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Mn(3), one Zn(1), and one Si(4) atom. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to two equivalent Zn(1) and one Si(1) atom. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to two equivalent Zn(2) and one Si(2) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to two equivalent Zn(2) and one Si(3) atom. In the eighteenth O site, O(18) is bonded in a trigonal planar geometry to two equivalent Zn(1) and one Si(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Mn3Zn4(SiO6)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.163
_cell_length_b   5.163
_cell_length_c   18.238
_cell_angle_alpha   89.770
_cell_angle_beta   90.230
_cell_angle_gamma   108.258
_symmetry_Int_Tables_number   1
_cell_volume   461.591
_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  0.995  0.492  0.998  1.0
  Mg  Mg1  1  0.508  0.005  0.998  1.0
  Mg  Mg2  1  0.000  0.500  0.500  1.0
  Mg  Mg3  1  0.500  1.000  0.500  1.0
  Mg  Mg4  1  0.003  0.997  0.103  1.0
  Mn  Mn5  1  0.984  0.016  0.911  1.0
  Mn  Mn6  1  0.483  0.517  0.583  1.0
  Mn  Mn7  1  0.517  0.483  0.417  1.0
  Zn  Zn8  1  0.155  0.353  0.252  1.0
  Zn  Zn9  1  0.350  0.151  0.749  1.0
  Zn  Zn10  1  0.849  0.650  0.749  1.0
  Zn  Zn11  1  0.647  0.845  0.252  1.0
  Si  Si12  1  0.642  0.358  0.154  1.0
  Si  Si13  1  0.357  0.643  0.847  1.0
  Si  Si14  1  0.856  0.144  0.653  1.0
  Si  Si15  1  0.143  0.857  0.348  1.0
  O  O16  1  0.813  0.803  0.993  1.0
  O  O17  1  0.296  0.296  0.500  1.0
  O  O18  1  0.197  0.187  0.993  1.0
  O  O19  1  0.704  0.704  0.500  1.0
  O  O20  1  0.231  0.769  0.067  1.0
  O  O21  1  0.771  0.229  0.923  1.0
  O  O22  1  0.271  0.729  0.574  1.0
  O  O23  1  0.729  0.271  0.427  1.0
  O  O24  1  0.750  0.250  0.079  1.0
  O  O25  1  0.243  0.757  0.920  1.0
  O  O26  1  0.739  0.261  0.579  1.0
  O  O27  1  0.261  0.739  0.421  1.0
  O  O28  1  0.748  0.692  0.161  1.0
  O  O29  1  0.698  0.757  0.842  1.0
  O  O30  1  0.197  0.257  0.656  1.0
  O  O31  1  0.259  0.198  0.345  1.0
  O  O32  1  0.243  0.302  0.842  1.0
  O  O33  1  0.308  0.252  0.161  1.0
  O  O34  1  0.802  0.741  0.345  1.0
  O  O35  1  0.743  0.803  0.656  1.0
  O  O36  1  0.772  0.228  0.223  1.0
  O  O37  1  0.238  0.762  0.774  1.0
  O  O38  1  0.738  0.262  0.725  1.0
  O  O39  1  0.259  0.741  0.276  1.0
[/CIF]
.
The compound described by Mg5Mn3Zn4(SiO6)4 crystallizes in the monoclinic Cm space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(3), one O(4), one O(7), one O(8), and two equivalent O(1) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 20°. In the second Mg site, Mg(2) is bonded to one O(10), one O(5), one O(6), one O(9), and two equivalent O(2) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the third Mg site, Mg(3) is bonded in a 6-coordinate geometry to one O(3), one O(7), two equivalent O(1), and two equivalent O(11) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4), one O(8), two equivalent O(1), and two equivalent O(12) atoms to form MnO6 octahedra that share corners with two equivalent Zn(2)O4 tetrahedra, corners with three equivalent Si(2)O4 tetrahedra, and edges with four equivalent Mg(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(5), one O(9), two equivalent O(13), and two equivalent O(2) atoms to form MnO6 octahedra that share corners with two equivalent Zn(2)O4 tetrahedra, corners with three equivalent Si(3)O4 tetrahedra,  an edgeedge with one Mn(3)O6 octahedra, and edges with four equivalent Mg(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(6), two equivalent O(14), and two equivalent O(2) atoms to form MnO6 octahedra that share corners with two equivalent Zn(1)O4 tetrahedra, corners with three equivalent Si(4)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with four equivalent Mg(2)O6 octahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(11), one O(14), one O(15), and one O(18) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Zn(1)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and corners with two equivalent Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. In the second Zn site, Zn(2) is bonded to one O(12), one O(13), one O(16), and one O(17) atom to form ZnO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and corners with two equivalent Si(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 64-65°. There are four inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(15), one O(7), and two equivalent O(11) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with four equivalent Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the second Si site, Si(2) is bonded to one O(16), one O(8), and two equivalent O(12) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-58°. In the third Si site, Si(3) is bonded to one O(17), one O(9), and two equivalent O(13) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the fourth Si site, Si(4) is bonded to one O(10), one O(18), and two equivalent O(14) atoms to form SiO4 tetrahedra that share corners with two equivalent Mg(2)O6 octahedra, corners with three equivalent Mn(3)O6 octahedra, and corners with four equivalent Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-58°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(3), two equivalent Mg(1), and one Mn(1) atom. In the second O site, O(2) is bonded in a see-saw-like geometry to two equivalent Mg(2), one Mn(2), and one Mn(3) atom. In the third O site, O(3) is bonded in a trigonal non-coplanar geometry to one Mg(3) and two equivalent Mg(1) atoms. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to two equivalent Mg(1) and one Mn(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mg(2) and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mg(2) and one Mn(3) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(3), two equivalent Mg(1), and one Si(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal pyramidal geometry to two equivalent Mg(1), one Mn(1), and one Si(2) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mg(2), one Mn(2), and one Si(3) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(2), one Mn(3), and one Si(4) atom. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Mg(3), one Zn(1), and one Si(1) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Mn(1), one Zn(2), and one Si(2) atom. In the thirteenth O site, O(13) is bonded in a trigonal planar geometry to one Mn(2), one Zn(2), and one Si(3) atom. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Mn(3), one Zn(1), and one Si(4) atom. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to two equivalent Zn(1) and one Si(1) atom. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to two equivalent Zn(2) and one Si(2) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to two equivalent Zn(2) and one Si(3) atom. In the eighteenth O site, O(18) is bonded in a trigonal planar geometry to two equivalent Zn(1) and one Si(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Mn3Zn4(SiO6)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.163
_cell_length_b   5.163
_cell_length_c   18.238
_cell_angle_alpha   89.770
_cell_angle_beta   90.230
_cell_angle_gamma   108.258
_symmetry_Int_Tables_number   1
_cell_volume   461.591
_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  0.995  0.492  0.998  1.0
  Mg  Mg1  1  0.508  0.005  0.998  1.0
  Mg  Mg2  1  0.000  0.500  0.500  1.0
  Mg  Mg3  1  0.500  1.000  0.500  1.0
  Mg  Mg4  1  0.003  0.997  0.103  1.0
  Mn  Mn5  1  0.984  0.016  0.911  1.0
  Mn  Mn6  1  0.483  0.517  0.583  1.0
  Mn  Mn7  1  0.517  0.483  0.417  1.0
  Zn  Zn8  1  0.155  0.353  0.252  1.0
  Zn  Zn9  1  0.350  0.151  0.749  1.0
  Zn  Zn10  1  0.849  0.650  0.749  1.0
  Zn  Zn11  1  0.647  0.845  0.252  1.0
  Si  Si12  1  0.642  0.358  0.154  1.0
  Si  Si13  1  0.357  0.643  0.847  1.0
  Si  Si14  1  0.856  0.144  0.653  1.0
  Si  Si15  1  0.143  0.857  0.348  1.0
  O  O16  1  0.813  0.803  0.993  1.0
  O  O17  1  0.296  0.296  0.500  1.0
  O  O18  1  0.197  0.187  0.993  1.0
  O  O19  1  0.704  0.704  0.500  1.0
  O  O20  1  0.231  0.769  0.067  1.0
  O  O21  1  0.771  0.229  0.923  1.0
  O  O22  1  0.271  0.729  0.574  1.0
  O  O23  1  0.729  0.271  0.427  1.0
  O  O24  1  0.750  0.250  0.079  1.0
  O  O25  1  0.243  0.757  0.920  1.0
  O  O26  1  0.739  0.261  0.579  1.0
  O  O27  1  0.261  0.739  0.421  1.0
  O  O28  1  0.748  0.692  0.161  1.0
  O  O29  1  0.698  0.757  0.842  1.0
  O  O30  1  0.197  0.257  0.656  1.0
  O  O31  1  0.259  0.198  0.345  1.0
  O  O32  1  0.243  0.302  0.842  1.0
  O  O33  1  0.308  0.252  0.161  1.0
  O  O34  1  0.802  0.741  0.345  1.0
  O  O35  1  0.743  0.803  0.656  1.0
  O  O36  1  0.772  0.228  0.223  1.0
  O  O37  1  0.238  0.762  0.774  1.0
  O  O38  1  0.738  0.262  0.725  1.0
  O  O39  1  0.259  0.741  0.276  1.0
[/CIF]
.