The compound described by MgCrMn5(PO4)6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom to form distorted MgO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(1)O6 pentagonal pyramid. Cr(1) is bonded to one O(1), one O(13), one O(16), one O(2), one O(3), and one O(5) atom to form distorted CrO6 pentagonal pyramids that share  an edgeedge with one P(1)O4 tetrahedra,  an edgeedge with one P(2)O4 tetrahedra,  an edgeedge with one P(3)O4 tetrahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Mn(5)O6 octahedra. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 6-coordinate geometry to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(10), one O(22), one O(23), one O(24), one O(6), and one O(8) atom. In the third Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(10), one O(15), one O(17), one O(19), one O(6), and one O(8) atom. In the fourth Mn site, Mn(4) is bonded to one O(12), one O(14), one O(20), one O(4), one O(7), and one O(9) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(1)O6 pentagonal pyramid. There are six inequivalent P sites. In the first P site, P(1) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, and  an edgeedge with one Cr(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 7-44°. In the second P site, P(2) is bonded to one O(1), one O(13), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, and  an edgeedge with one Cr(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 5-44°. In the third P site, P(3) is bonded to one O(10), one O(14), one O(16), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, and  an edgeedge with one Cr(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 8-48°. In the fourth P site, P(4) is bonded to one O(11), one O(15), one O(23), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-56°. In the fifth P site, P(5) is bonded to one O(12), one O(17), one O(18), and one O(24) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 35-49°. In the sixth P site, P(6) is bonded to one O(19), one O(20), one O(21), and one O(22) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-50°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a T-shaped geometry to one Cr(1), one Mn(5), and one P(2) atom. In the second O site, O(2) is bonded in a T-shaped geometry to one Cr(1), one Mn(5), and one P(3) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Cr(1), one Mn(5), and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(1) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mg(1), one Cr(1), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mn(2), one Mn(3), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mn(2), one Mn(3), and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Mn(4) and one P(4) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Mn(2), one Mn(3), and one P(3) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a bent 150 degrees geometry to one Mn(4) and one P(5) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(1), one Cr(1), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a T-shaped geometry to one Mg(1), one Cr(1), and one P(3) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(6) atom. In the twentieth O site, O(20) is bonded in a bent 150 degrees geometry to one Mn(4) and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(5) atom. is represented by the CIF file [CIF]
data_MgMn5Cr(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.271
_cell_length_b   8.721
_cell_length_c   8.774
_cell_angle_alpha   59.435
_cell_angle_beta   57.549
_cell_angle_gamma   58.289
_symmetry_Int_Tables_number   1
_cell_volume   483.242
_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  0.640  0.140  0.110  1.0
  Mn  Mn1  1  0.032  0.984  0.995  1.0
  Mn  Mn2  1  0.063  0.649  0.637  1.0
  Mn  Mn3  1  0.489  0.495  0.508  1.0
  Mn  Mn4  1  0.467  0.850  0.841  1.0
  Mn  Mn5  1  0.894  0.372  0.352  1.0
  Cr  Cr6  1  0.268  0.231  0.264  1.0
  P  P7  1  0.265  0.238  0.557  1.0
  P  P8  1  0.269  0.938  0.249  1.0
  P  P9  1  0.262  0.537  0.956  1.0
  P  P10  1  0.763  0.466  0.025  1.0
  P  P11  1  0.762  0.044  0.740  1.0
  P  P12  1  0.775  0.745  0.442  1.0
  O  O13  1  0.102  0.124  0.291  1.0
  O  O14  1  0.095  0.482  0.142  1.0
  O  O15  1  0.105  0.264  0.521  1.0
  O  O16  1  0.270  0.072  0.744  1.0
  O  O17  1  0.431  0.202  0.370  1.0
  O  O18  1  0.258  0.410  0.574  1.0
  O  O19  1  0.272  0.920  0.083  1.0
  O  O20  1  0.265  0.751  0.417  1.0
  O  O21  1  0.599  0.597  0.961  1.0
  O  O22  1  0.277  0.546  0.771  1.0
  O  O23  1  0.816  0.262  0.030  1.0
  O  O24  1  0.587  0.005  0.825  1.0
  O  O25  1  0.428  0.982  0.217  1.0
  O  O26  1  0.247  0.725  0.946  1.0
  O  O27  1  0.706  0.462  0.230  1.0
  O  O28  1  0.425  0.359  0.013  1.0
  O  O29  1  0.727  0.246  0.577  1.0
  O  O30  1  0.804  0.057  0.879  1.0
  O  O31  1  0.730  0.592  0.441  1.0
  O  O32  1  0.596  0.836  0.588  1.0
  O  O33  1  0.805  0.899  0.243  1.0
  O  O34  1  0.941  0.654  0.492  1.0
  O  O35  1  0.929  0.531  0.895  1.0
  O  O36  1  0.931  0.902  0.638  1.0
[/CIF]
.
The compound described by MgCrMn5(PO4)6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom to form distorted MgO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(1)O6 pentagonal pyramid. Cr(1) is bonded to one O(1), one O(13), one O(16), one O(2), one O(3), and one O(5) atom to form distorted CrO6 pentagonal pyramids that share  an edgeedge with one P(1)O4 tetrahedra,  an edgeedge with one P(2)O4 tetrahedra,  an edgeedge with one P(3)O4 tetrahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Mn(5)O6 octahedra. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 6-coordinate geometry to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(10), one O(22), one O(23), one O(24), one O(6), and one O(8) atom. In the third Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(10), one O(15), one O(17), one O(19), one O(6), and one O(8) atom. In the fourth Mn site, Mn(4) is bonded to one O(12), one O(14), one O(20), one O(4), one O(7), and one O(9) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(1)O6 pentagonal pyramid. There are six inequivalent P sites. In the first P site, P(1) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, and  an edgeedge with one Cr(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 7-44°. In the second P site, P(2) is bonded to one O(1), one O(13), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, and  an edgeedge with one Cr(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 5-44°. In the third P site, P(3) is bonded to one O(10), one O(14), one O(16), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra, and  an edgeedge with one Cr(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 8-48°. In the fourth P site, P(4) is bonded to one O(11), one O(15), one O(23), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-56°. In the fifth P site, P(5) is bonded to one O(12), one O(17), one O(18), and one O(24) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 35-49°. In the sixth P site, P(6) is bonded to one O(19), one O(20), one O(21), and one O(22) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 33-50°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a T-shaped geometry to one Cr(1), one Mn(5), and one P(2) atom. In the second O site, O(2) is bonded in a T-shaped geometry to one Cr(1), one Mn(5), and one P(3) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Cr(1), one Mn(5), and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(1) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mg(1), one Cr(1), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mn(2), one Mn(3), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mn(2), one Mn(3), and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Mn(4) and one P(4) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Mn(2), one Mn(3), and one P(3) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a bent 150 degrees geometry to one Mn(4) and one P(5) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(1), one Cr(1), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a T-shaped geometry to one Mg(1), one Cr(1), and one P(3) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(6) atom. In the twentieth O site, O(20) is bonded in a bent 150 degrees geometry to one Mn(4) and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(5) atom. is represented by the CIF file [CIF]
data_MgMn5Cr(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.271
_cell_length_b   8.721
_cell_length_c   8.774
_cell_angle_alpha   59.435
_cell_angle_beta   57.549
_cell_angle_gamma   58.289
_symmetry_Int_Tables_number   1
_cell_volume   483.242
_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  0.640  0.140  0.110  1.0
  Mn  Mn1  1  0.032  0.984  0.995  1.0
  Mn  Mn2  1  0.063  0.649  0.637  1.0
  Mn  Mn3  1  0.489  0.495  0.508  1.0
  Mn  Mn4  1  0.467  0.850  0.841  1.0
  Mn  Mn5  1  0.894  0.372  0.352  1.0
  Cr  Cr6  1  0.268  0.231  0.264  1.0
  P  P7  1  0.265  0.238  0.557  1.0
  P  P8  1  0.269  0.938  0.249  1.0
  P  P9  1  0.262  0.537  0.956  1.0
  P  P10  1  0.763  0.466  0.025  1.0
  P  P11  1  0.762  0.044  0.740  1.0
  P  P12  1  0.775  0.745  0.442  1.0
  O  O13  1  0.102  0.124  0.291  1.0
  O  O14  1  0.095  0.482  0.142  1.0
  O  O15  1  0.105  0.264  0.521  1.0
  O  O16  1  0.270  0.072  0.744  1.0
  O  O17  1  0.431  0.202  0.370  1.0
  O  O18  1  0.258  0.410  0.574  1.0
  O  O19  1  0.272  0.920  0.083  1.0
  O  O20  1  0.265  0.751  0.417  1.0
  O  O21  1  0.599  0.597  0.961  1.0
  O  O22  1  0.277  0.546  0.771  1.0
  O  O23  1  0.816  0.262  0.030  1.0
  O  O24  1  0.587  0.005  0.825  1.0
  O  O25  1  0.428  0.982  0.217  1.0
  O  O26  1  0.247  0.725  0.946  1.0
  O  O27  1  0.706  0.462  0.230  1.0
  O  O28  1  0.425  0.359  0.013  1.0
  O  O29  1  0.727  0.246  0.577  1.0
  O  O30  1  0.804  0.057  0.879  1.0
  O  O31  1  0.730  0.592  0.441  1.0
  O  O32  1  0.596  0.836  0.588  1.0
  O  O33  1  0.805  0.899  0.243  1.0
  O  O34  1  0.941  0.654  0.492  1.0
  O  O35  1  0.929  0.531  0.895  1.0
  O  O36  1  0.931  0.902  0.638  1.0
[/CIF]
.