The material structure described by MgCu10(P3O13)2 crystallizes in the triclinic P-1 space group. Mg(1) is bonded in a 4-coordinate geometry to two equivalent O(12), two equivalent O(6), and two equivalent O(8) atoms. There are five inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(10), one O(12), one O(2), one O(4), and one O(8) atom to form distorted CuO5 square pyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, corners with two equivalent Cu(3)O5 trigonal bipyramids, and  an edgeedge with one Cu(5)O5 trigonal bipyramid. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(1), one O(11), one O(13), and one O(7) atom. In the third Cu site, Cu(3) is bonded to one O(1), one O(12), one O(2), one O(3), and one O(6) atom to form distorted CuO5 trigonal bipyramids that share corners with two equivalent Cu(1)O5 square pyramids,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one Cu(5)O5 trigonal bipyramid. In the fourth Cu site, Cu(4) is bonded in a 4-coordinate geometry to one O(12), one O(4), one O(5), and two equivalent O(8) atoms. In the fifth Cu site, Cu(5) is bonded to one O(10), one O(12), one O(3), one O(5), and one O(9) atom to form distorted CuO5 trigonal bipyramids that share  a cornercorner with one P(3)O4 tetrahedra, corners with three equivalent P(2)O4 tetrahedra,  an edgeedge with one Cu(1)O5 square pyramid, and  an edgeedge with one Cu(3)O5 trigonal bipyramid. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(13), one O(2), and one O(7) atom to form PO4 tetrahedra that share  a cornercorner with one Cu(1)O5 square pyramid and corners with two equivalent Cu(3)O5 trigonal bipyramids. In the second P site, P(2) is bonded to one O(10), one O(11), one O(3), and one O(5) atom to form PO4 tetrahedra that share  a cornercorner with one Cu(1)O5 square pyramid,  a cornercorner with one Cu(3)O5 trigonal bipyramid, and corners with three equivalent Cu(5)O5 trigonal bipyramids. In the third P site, P(3) is bonded to one O(4), one O(6), one O(8), and one O(9) atom to form PO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids,  a cornercorner with one Cu(3)O5 trigonal bipyramid, and  a cornercorner with one Cu(5)O5 trigonal bipyramid. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Cu(2), one Cu(3), and one P(1) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Cu(1), one Cu(3), and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Cu(3), one Cu(5), and one P(2) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Cu(1), one Cu(4), and one P(3) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Cu(4), one Cu(5), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Mg(1), one Cu(3), and one P(3) atom. In the seventh O site, O(7) is bonded in a distorted bent 150 degrees geometry to one Cu(2) and one P(1) atom. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(1), one Cu(1), two equivalent Cu(4), and one P(3) atom. In the ninth O site, O(9) is bonded in a linear geometry to one Cu(5) and one P(3) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Cu(1), one Cu(5), and one P(2) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one Cu(2) and one P(2) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Mg(1), one Cu(1), one Cu(3), one Cu(4), and one Cu(5) atom. In the thirteenth O site, O(13) is bonded in a bent 150 degrees geometry to one Cu(2) and one P(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCu10(P3O13)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.322
_cell_length_b   8.241
_cell_length_c   10.167
_cell_angle_alpha   90.824
_cell_angle_beta   91.941
_cell_angle_gamma   90.552
_symmetry_Int_Tables_number   1
_cell_volume   529.296
_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  0.000  0.000  0.000  1.0
  Cu  Cu1  1  0.487  0.144  0.774  1.0
  Cu  Cu2  1  0.748  0.223  0.451  1.0
  Cu  Cu3  1  0.252  0.777  0.549  1.0
  Cu  Cu4  1  0.513  0.856  0.226  1.0
  Cu  Cu5  1  0.019  0.852  0.250  1.0
  Cu  Cu6  1  0.335  0.827  0.943  1.0
  Cu  Cu7  1  0.756  0.431  0.856  1.0
  Cu  Cu8  1  0.244  0.569  0.144  1.0
  Cu  Cu9  1  0.981  0.148  0.750  1.0
  Cu  Cu10  1  0.665  0.173  0.057  1.0
  P  P11  1  0.244  0.139  0.502  1.0
  P  P12  1  0.756  0.861  0.498  1.0
  P  P13  1  0.748  0.503  0.217  1.0
  P  P14  1  0.273  0.165  0.136  1.0
  P  P15  1  0.727  0.835  0.864  1.0
  P  P16  1  0.252  0.497  0.783  1.0
  O  O17  1  0.237  0.965  0.436  1.0
  O  O18  1  0.763  0.894  0.343  1.0
  O  O19  1  0.953  0.615  0.213  1.0
  O  O20  1  0.520  0.906  0.798  1.0
  O  O21  1  0.757  0.394  0.090  1.0
  O  O22  1  0.062  0.088  0.184  1.0
  O  O23  1  0.947  0.759  0.541  1.0
  O  O24  1  0.938  0.912  0.816  1.0
  O  O25  1  0.243  0.606  0.910  1.0
  O  O26  1  0.279  0.102  0.986  1.0
  O  O27  1  0.726  0.655  0.854  1.0
  O  O28  1  0.447  0.378  0.802  1.0
  O  O29  1  0.269  0.587  0.657  1.0
  O  O30  1  0.244  0.802  0.127  1.0
  O  O31  1  0.553  0.622  0.198  1.0
  O  O32  1  0.445  0.235  0.475  1.0
  O  O33  1  0.763  0.035  0.564  1.0
  O  O34  1  0.480  0.094  0.202  1.0
  O  O35  1  0.237  0.106  0.657  1.0
  O  O36  1  0.731  0.413  0.343  1.0
  O  O37  1  0.555  0.765  0.525  1.0
  O  O38  1  0.053  0.241  0.459  1.0
  O  O39  1  0.721  0.898  0.014  1.0
  O  O40  1  0.756  0.198  0.873  1.0
  O  O41  1  0.047  0.385  0.787  1.0
  O  O42  1  0.274  0.345  0.146  1.0
[/CIF]
.
The material structure described by MgCu10(P3O13)2 crystallizes in the triclinic P-1 space group. Mg(1) is bonded in a 4-coordinate geometry to two equivalent O(12), two equivalent O(6), and two equivalent O(8) atoms. There are five inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(10), one O(12), one O(2), one O(4), and one O(8) atom to form distorted CuO5 square pyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, corners with two equivalent Cu(3)O5 trigonal bipyramids, and  an edgeedge with one Cu(5)O5 trigonal bipyramid. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(1), one O(11), one O(13), and one O(7) atom. In the third Cu site, Cu(3) is bonded to one O(1), one O(12), one O(2), one O(3), and one O(6) atom to form distorted CuO5 trigonal bipyramids that share corners with two equivalent Cu(1)O5 square pyramids,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one Cu(5)O5 trigonal bipyramid. In the fourth Cu site, Cu(4) is bonded in a 4-coordinate geometry to one O(12), one O(4), one O(5), and two equivalent O(8) atoms. In the fifth Cu site, Cu(5) is bonded to one O(10), one O(12), one O(3), one O(5), and one O(9) atom to form distorted CuO5 trigonal bipyramids that share  a cornercorner with one P(3)O4 tetrahedra, corners with three equivalent P(2)O4 tetrahedra,  an edgeedge with one Cu(1)O5 square pyramid, and  an edgeedge with one Cu(3)O5 trigonal bipyramid. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(13), one O(2), and one O(7) atom to form PO4 tetrahedra that share  a cornercorner with one Cu(1)O5 square pyramid and corners with two equivalent Cu(3)O5 trigonal bipyramids. In the second P site, P(2) is bonded to one O(10), one O(11), one O(3), and one O(5) atom to form PO4 tetrahedra that share  a cornercorner with one Cu(1)O5 square pyramid,  a cornercorner with one Cu(3)O5 trigonal bipyramid, and corners with three equivalent Cu(5)O5 trigonal bipyramids. In the third P site, P(3) is bonded to one O(4), one O(6), one O(8), and one O(9) atom to form PO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids,  a cornercorner with one Cu(3)O5 trigonal bipyramid, and  a cornercorner with one Cu(5)O5 trigonal bipyramid. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Cu(2), one Cu(3), and one P(1) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Cu(1), one Cu(3), and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Cu(3), one Cu(5), and one P(2) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Cu(1), one Cu(4), and one P(3) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Cu(4), one Cu(5), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Mg(1), one Cu(3), and one P(3) atom. In the seventh O site, O(7) is bonded in a distorted bent 150 degrees geometry to one Cu(2) and one P(1) atom. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(1), one Cu(1), two equivalent Cu(4), and one P(3) atom. In the ninth O site, O(9) is bonded in a linear geometry to one Cu(5) and one P(3) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Cu(1), one Cu(5), and one P(2) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one Cu(2) and one P(2) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Mg(1), one Cu(1), one Cu(3), one Cu(4), and one Cu(5) atom. In the thirteenth O site, O(13) is bonded in a bent 150 degrees geometry to one Cu(2) and one P(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCu10(P3O13)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.322
_cell_length_b   8.241
_cell_length_c   10.167
_cell_angle_alpha   90.824
_cell_angle_beta   91.941
_cell_angle_gamma   90.552
_symmetry_Int_Tables_number   1
_cell_volume   529.296
_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  0.000  0.000  0.000  1.0
  Cu  Cu1  1  0.487  0.144  0.774  1.0
  Cu  Cu2  1  0.748  0.223  0.451  1.0
  Cu  Cu3  1  0.252  0.777  0.549  1.0
  Cu  Cu4  1  0.513  0.856  0.226  1.0
  Cu  Cu5  1  0.019  0.852  0.250  1.0
  Cu  Cu6  1  0.335  0.827  0.943  1.0
  Cu  Cu7  1  0.756  0.431  0.856  1.0
  Cu  Cu8  1  0.244  0.569  0.144  1.0
  Cu  Cu9  1  0.981  0.148  0.750  1.0
  Cu  Cu10  1  0.665  0.173  0.057  1.0
  P  P11  1  0.244  0.139  0.502  1.0
  P  P12  1  0.756  0.861  0.498  1.0
  P  P13  1  0.748  0.503  0.217  1.0
  P  P14  1  0.273  0.165  0.136  1.0
  P  P15  1  0.727  0.835  0.864  1.0
  P  P16  1  0.252  0.497  0.783  1.0
  O  O17  1  0.237  0.965  0.436  1.0
  O  O18  1  0.763  0.894  0.343  1.0
  O  O19  1  0.953  0.615  0.213  1.0
  O  O20  1  0.520  0.906  0.798  1.0
  O  O21  1  0.757  0.394  0.090  1.0
  O  O22  1  0.062  0.088  0.184  1.0
  O  O23  1  0.947  0.759  0.541  1.0
  O  O24  1  0.938  0.912  0.816  1.0
  O  O25  1  0.243  0.606  0.910  1.0
  O  O26  1  0.279  0.102  0.986  1.0
  O  O27  1  0.726  0.655  0.854  1.0
  O  O28  1  0.447  0.378  0.802  1.0
  O  O29  1  0.269  0.587  0.657  1.0
  O  O30  1  0.244  0.802  0.127  1.0
  O  O31  1  0.553  0.622  0.198  1.0
  O  O32  1  0.445  0.235  0.475  1.0
  O  O33  1  0.763  0.035  0.564  1.0
  O  O34  1  0.480  0.094  0.202  1.0
  O  O35  1  0.237  0.106  0.657  1.0
  O  O36  1  0.731  0.413  0.343  1.0
  O  O37  1  0.555  0.765  0.525  1.0
  O  O38  1  0.053  0.241  0.459  1.0
  O  O39  1  0.721  0.898  0.014  1.0
  O  O40  1  0.756  0.198  0.873  1.0
  O  O41  1  0.047  0.385  0.787  1.0
  O  O42  1  0.274  0.345  0.146  1.0
[/CIF]
.