The compound described by MgCu2(RhO2)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 2-coordinate geometry to one O(1), one O(3), one O(5), and one O(8) atom. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form distorted RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(2)O6 octahedra, edges with two equivalent Rh(3)O6 octahedra, and edges with two equivalent Rh(4)O6 octahedra. In the second Rh site, Rh(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form distorted RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(1)O6 octahedra, edges with two equivalent Rh(3)O6 octahedra, and edges with two equivalent Rh(4)O6 octahedra. In the third Rh site, Rh(3) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(1)O6 octahedra, edges with two equivalent Rh(2)O6 octahedra, and edges with two equivalent Rh(4)O6 octahedra. In the fourth Rh site, Rh(4) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(1)O6 octahedra, edges with two equivalent Rh(2)O6 octahedra, and edges with two equivalent Rh(3)O6 octahedra. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(3), one O(6), one O(7), and one O(8) atom to form CuO4 tetrahedra that share corners with three equivalent Rh(1)O6 octahedra, corners with three equivalent Rh(2)O6 octahedra, corners with three equivalent Rh(3)O6 octahedra, and corners with three equivalent Rh(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. In the second Cu site, Cu(2) is bonded in a distorted linear geometry to one O(2) and one O(4) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Rh(1), one Rh(3), and one Rh(4) atom to form distorted OMgRh3 trigonal pyramids that share  a cornercorner with one O(8)MgCuRh3 trigonal bipyramid,  a cornercorner with one O(5)MgRh3 trigonal pyramid, corners with two equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(8)MgCuRh3 trigonal bipyramid,  an edgeedge with one O(2)CuRh3 trigonal pyramid,  an edgeedge with one O(4)CuRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. In the second O site, O(2) is bonded to one Rh(1), one Rh(2), one Rh(3), and one Cu(2) atom to form OCuRh3 trigonal pyramids that share corners with three equivalent O(8)MgCuRh3 trigonal bipyramids,  a cornercorner with one O(4)CuRh3 trigonal pyramid, corners with two equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(4)CuRh3 trigonal pyramid,  an edgeedge with one O(1)MgRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Mg(1), one Rh(1), one Rh(2), one Rh(4), and one Cu(1) atom. In the fourth O site, O(4) is bonded to one Rh(1), one Rh(2), one Rh(4), and one Cu(2) atom to form OCuRh3 trigonal pyramids that share corners with two equivalent O(8)MgCuRh3 trigonal bipyramids,  a cornercorner with one O(2)CuRh3 trigonal pyramid, corners with two equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(2)CuRh3 trigonal pyramid,  an edgeedge with one O(1)MgRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Mg(1), one Rh(2), one Rh(3), and one Rh(4) atom to form distorted OMgRh3 trigonal pyramids that share  a cornercorner with one O(8)MgCuRh3 trigonal bipyramid,  a cornercorner with one O(1)MgRh3 trigonal pyramid, corners with three equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(8)MgCuRh3 trigonal bipyramid,  an edgeedge with one O(2)CuRh3 trigonal pyramid,  an edgeedge with one O(4)CuRh3 trigonal pyramid, and  an edgeedge with one O(1)MgRh3 trigonal pyramid. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Rh(1), one Rh(3), one Rh(4), and one Cu(1) atom. In the seventh O site, O(7) is bonded to one Rh(2), one Rh(3), one Rh(4), and one Cu(1) atom to form distorted OCuRh3 trigonal pyramids that share  a cornercorner with one O(8)MgCuRh3 trigonal bipyramid, corners with two equivalent O(2)CuRh3 trigonal pyramids, corners with two equivalent O(4)CuRh3 trigonal pyramids, corners with two equivalent O(1)MgRh3 trigonal pyramids, corners with three equivalent O(5)MgRh3 trigonal pyramids, and  an edgeedge with one O(8)MgCuRh3 trigonal bipyramid. In the eighth O site, O(8) is bonded to one Mg(1), one Rh(1), one Rh(2), one Rh(3), and one Cu(1) atom to form distorted OMgCuRh3 trigonal bipyramids that share  a cornercorner with one O(7)CuRh3 trigonal pyramid,  a cornercorner with one O(1)MgRh3 trigonal pyramid,  a cornercorner with one O(5)MgRh3 trigonal pyramid, corners with two equivalent O(4)CuRh3 trigonal pyramids, corners with three equivalent O(2)CuRh3 trigonal pyramids,  an edgeedge with one O(7)CuRh3 trigonal pyramid,  an edgeedge with one O(1)MgRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCu2(RhO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.301
_cell_length_b   6.253
_cell_length_c   6.451
_cell_angle_alpha   89.999
_cell_angle_beta   120.787
_cell_angle_gamma   119.743
_symmetry_Int_Tables_number   1
_cell_volume   178.251
_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  0.140  0.571  0.070  1.0
  Cu  Cu1  1  0.961  0.980  0.980  1.0
  Cu  Cu2  1  0.696  0.848  0.349  1.0
  Rh  Rh3  1  0.691  0.345  0.100  1.0
  Rh  Rh4  1  0.691  0.345  0.591  1.0
  Rh  Rh5  1  0.208  0.353  0.604  1.0
  Rh  Rh6  1  0.208  0.855  0.604  1.0
  O  O7  1  0.169  0.584  0.379  1.0
  O  O8  1  0.730  0.153  0.365  1.0
  O  O9  1  0.692  0.129  0.846  1.0
  O  O10  1  0.730  0.576  0.365  1.0
  O  O11  1  0.168  0.584  0.789  1.0
  O  O12  1  0.228  0.114  0.832  1.0
  O  O13  1  0.228  0.114  0.395  1.0
  O  O14  1  0.692  0.563  0.846  1.0
[/CIF]
.
The compound described by MgCu2(RhO2)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 2-coordinate geometry to one O(1), one O(3), one O(5), and one O(8) atom. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form distorted RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(2)O6 octahedra, edges with two equivalent Rh(3)O6 octahedra, and edges with two equivalent Rh(4)O6 octahedra. In the second Rh site, Rh(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form distorted RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(1)O6 octahedra, edges with two equivalent Rh(3)O6 octahedra, and edges with two equivalent Rh(4)O6 octahedra. In the third Rh site, Rh(3) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(1)O6 octahedra, edges with two equivalent Rh(2)O6 octahedra, and edges with two equivalent Rh(4)O6 octahedra. In the fourth Rh site, Rh(4) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form RhO6 octahedra that share corners with three equivalent Cu(1)O4 tetrahedra, edges with two equivalent Rh(1)O6 octahedra, edges with two equivalent Rh(2)O6 octahedra, and edges with two equivalent Rh(3)O6 octahedra. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(3), one O(6), one O(7), and one O(8) atom to form CuO4 tetrahedra that share corners with three equivalent Rh(1)O6 octahedra, corners with three equivalent Rh(2)O6 octahedra, corners with three equivalent Rh(3)O6 octahedra, and corners with three equivalent Rh(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. In the second Cu site, Cu(2) is bonded in a distorted linear geometry to one O(2) and one O(4) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Rh(1), one Rh(3), and one Rh(4) atom to form distorted OMgRh3 trigonal pyramids that share  a cornercorner with one O(8)MgCuRh3 trigonal bipyramid,  a cornercorner with one O(5)MgRh3 trigonal pyramid, corners with two equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(8)MgCuRh3 trigonal bipyramid,  an edgeedge with one O(2)CuRh3 trigonal pyramid,  an edgeedge with one O(4)CuRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. In the second O site, O(2) is bonded to one Rh(1), one Rh(2), one Rh(3), and one Cu(2) atom to form OCuRh3 trigonal pyramids that share corners with three equivalent O(8)MgCuRh3 trigonal bipyramids,  a cornercorner with one O(4)CuRh3 trigonal pyramid, corners with two equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(4)CuRh3 trigonal pyramid,  an edgeedge with one O(1)MgRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Mg(1), one Rh(1), one Rh(2), one Rh(4), and one Cu(1) atom. In the fourth O site, O(4) is bonded to one Rh(1), one Rh(2), one Rh(4), and one Cu(2) atom to form OCuRh3 trigonal pyramids that share corners with two equivalent O(8)MgCuRh3 trigonal bipyramids,  a cornercorner with one O(2)CuRh3 trigonal pyramid, corners with two equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(2)CuRh3 trigonal pyramid,  an edgeedge with one O(1)MgRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Mg(1), one Rh(2), one Rh(3), and one Rh(4) atom to form distorted OMgRh3 trigonal pyramids that share  a cornercorner with one O(8)MgCuRh3 trigonal bipyramid,  a cornercorner with one O(1)MgRh3 trigonal pyramid, corners with three equivalent O(7)CuRh3 trigonal pyramids,  an edgeedge with one O(8)MgCuRh3 trigonal bipyramid,  an edgeedge with one O(2)CuRh3 trigonal pyramid,  an edgeedge with one O(4)CuRh3 trigonal pyramid, and  an edgeedge with one O(1)MgRh3 trigonal pyramid. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Rh(1), one Rh(3), one Rh(4), and one Cu(1) atom. In the seventh O site, O(7) is bonded to one Rh(2), one Rh(3), one Rh(4), and one Cu(1) atom to form distorted OCuRh3 trigonal pyramids that share  a cornercorner with one O(8)MgCuRh3 trigonal bipyramid, corners with two equivalent O(2)CuRh3 trigonal pyramids, corners with two equivalent O(4)CuRh3 trigonal pyramids, corners with two equivalent O(1)MgRh3 trigonal pyramids, corners with three equivalent O(5)MgRh3 trigonal pyramids, and  an edgeedge with one O(8)MgCuRh3 trigonal bipyramid. In the eighth O site, O(8) is bonded to one Mg(1), one Rh(1), one Rh(2), one Rh(3), and one Cu(1) atom to form distorted OMgCuRh3 trigonal bipyramids that share  a cornercorner with one O(7)CuRh3 trigonal pyramid,  a cornercorner with one O(1)MgRh3 trigonal pyramid,  a cornercorner with one O(5)MgRh3 trigonal pyramid, corners with two equivalent O(4)CuRh3 trigonal pyramids, corners with three equivalent O(2)CuRh3 trigonal pyramids,  an edgeedge with one O(7)CuRh3 trigonal pyramid,  an edgeedge with one O(1)MgRh3 trigonal pyramid, and  an edgeedge with one O(5)MgRh3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCu2(RhO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.301
_cell_length_b   6.253
_cell_length_c   6.451
_cell_angle_alpha   89.999
_cell_angle_beta   120.787
_cell_angle_gamma   119.743
_symmetry_Int_Tables_number   1
_cell_volume   178.251
_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  0.140  0.571  0.070  1.0
  Cu  Cu1  1  0.961  0.980  0.980  1.0
  Cu  Cu2  1  0.696  0.848  0.349  1.0
  Rh  Rh3  1  0.691  0.345  0.100  1.0
  Rh  Rh4  1  0.691  0.345  0.591  1.0
  Rh  Rh5  1  0.208  0.353  0.604  1.0
  Rh  Rh6  1  0.208  0.855  0.604  1.0
  O  O7  1  0.169  0.584  0.379  1.0
  O  O8  1  0.730  0.153  0.365  1.0
  O  O9  1  0.692  0.129  0.846  1.0
  O  O10  1  0.730  0.576  0.365  1.0
  O  O11  1  0.168  0.584  0.789  1.0
  O  O12  1  0.228  0.114  0.832  1.0
  O  O13  1  0.228  0.114  0.395  1.0
  O  O14  1  0.692  0.563  0.846  1.0
[/CIF]
.