The material described by MgCo2Zn2(SiO5)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(4), one O(7), and one O(8) atom. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 5-coordinate geometry to one O(10), one O(2), one O(4), one O(5), and one O(9) atom. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(3), one O(6), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Si(1)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and  an edgeedge with one Zn(1)O4 tetrahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(10), one O(2), one O(3), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and  an edgeedge with one Co(2)O6 octahedra. In the second Zn site, Zn(2) is bonded in a 4-coordinate geometry to one O(1), one O(5), one O(6), and one O(9) atom. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(1), one O(2), one O(7), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Co(2)O6 octahedra and corners with two equivalent Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-51°. In the second Si site, Si(2) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form SiO4 tetrahedra that share corners with two equivalent Co(2)O6 octahedra and  a cornercorner with one Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a trigonal pyramidal geometry to one Mg(1), one Co(2), one Zn(2), and one Si(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Co(1), one Zn(1), and one Si(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Co(2), one Zn(1), and one Si(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mg(1), one Co(1), and one Si(2) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Co(1), one Zn(2), and one Si(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Co(2), one Zn(2), and one Si(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(1), one Zn(1), and one Si(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Co(2), and one Si(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(2), and one Zn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Co(1), one Co(2), and one Zn(1) atom. is represented by the CIF file [CIF]
data_MgZn2Co2(SiO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.456
_cell_length_b   7.272
_cell_length_c   7.961
_cell_angle_alpha   91.725
_cell_angle_beta   46.285
_cell_angle_gamma   70.958
_symmetry_Int_Tables_number   1
_cell_volume   200.128
_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  0.921  0.257  0.538  1.0
  Zn  Zn1  1  0.195  0.257  0.845  1.0
  Zn  Zn2  1  0.541  0.760  0.280  1.0
  Co  Co3  1  0.419  0.517  0.035  1.0
  Co  Co4  1  0.560  0.976  0.954  1.0
  Si  Si5  1  0.605  0.219  0.315  1.0
  Si  Si6  1  0.470  0.747  0.647  1.0
  O  O7  1  0.544  0.044  0.223  1.0
  O  O8  1  0.634  0.384  0.170  1.0
  O  O9  1  0.439  0.945  0.776  1.0
  O  O10  1  0.480  0.560  0.752  1.0
  O  O11  1  0.852  0.652  0.335  1.0
  O  O12  1  0.119  0.841  0.670  1.0
  O  O13  1  0.186  0.326  0.615  1.0
  O  O14  1  0.954  0.141  0.286  1.0
  O  O15  1  0.523  0.727  0.053  1.0
  O  O16  1  0.522  0.249  0.885  1.0
[/CIF]
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The material described by MgCo2Zn2(SiO5)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(4), one O(7), and one O(8) atom. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 5-coordinate geometry to one O(10), one O(2), one O(4), one O(5), and one O(9) atom. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(3), one O(6), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Si(1)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and  an edgeedge with one Zn(1)O4 tetrahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(10), one O(2), one O(3), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and  an edgeedge with one Co(2)O6 octahedra. In the second Zn site, Zn(2) is bonded in a 4-coordinate geometry to one O(1), one O(5), one O(6), and one O(9) atom. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(1), one O(2), one O(7), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Co(2)O6 octahedra and corners with two equivalent Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-51°. In the second Si site, Si(2) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form SiO4 tetrahedra that share corners with two equivalent Co(2)O6 octahedra and  a cornercorner with one Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a trigonal pyramidal geometry to one Mg(1), one Co(2), one Zn(2), and one Si(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Co(1), one Zn(1), and one Si(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Co(2), one Zn(1), and one Si(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mg(1), one Co(1), and one Si(2) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Co(1), one Zn(2), and one Si(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Co(2), one Zn(2), and one Si(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(1), one Zn(1), and one Si(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Co(2), and one Si(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(2), and one Zn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Co(1), one Co(2), and one Zn(1) atom. is represented by the CIF file [CIF]
data_MgZn2Co2(SiO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.456
_cell_length_b   7.272
_cell_length_c   7.961
_cell_angle_alpha   91.725
_cell_angle_beta   46.285
_cell_angle_gamma   70.958
_symmetry_Int_Tables_number   1
_cell_volume   200.128
_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  0.921  0.257  0.538  1.0
  Zn  Zn1  1  0.195  0.257  0.845  1.0
  Zn  Zn2  1  0.541  0.760  0.280  1.0
  Co  Co3  1  0.419  0.517  0.035  1.0
  Co  Co4  1  0.560  0.976  0.954  1.0
  Si  Si5  1  0.605  0.219  0.315  1.0
  Si  Si6  1  0.470  0.747  0.647  1.0
  O  O7  1  0.544  0.044  0.223  1.0
  O  O8  1  0.634  0.384  0.170  1.0
  O  O9  1  0.439  0.945  0.776  1.0
  O  O10  1  0.480  0.560  0.752  1.0
  O  O11  1  0.852  0.652  0.335  1.0
  O  O12  1  0.119  0.841  0.670  1.0
  O  O13  1  0.186  0.326  0.615  1.0
  O  O14  1  0.954  0.141  0.286  1.0
  O  O15  1  0.523  0.727  0.053  1.0
  O  O16  1  0.522  0.249  0.885  1.0
[/CIF]
.