The material structure described by Mg3Ho7Rh2 crystallizes in the monoclinic Cm space group. There are four inequivalent Mg sites. In the first Mg site, Mg(4) is bonded in a 13-coordinate geometry to one Mg(2), one Mg(3), one Ho(10), one Ho(2), one Ho(3), one Ho(4), one Ho(5), one Ho(6), one Ho(7), one Ho(8), one Ho(9), one Rh(1), and one Rh(2) atom. In the second Mg site, Mg(1) is bonded to one Mg(3), two equivalent Mg(2), one Ho(3), one Ho(4), one Ho(9), two equivalent Ho(10), two equivalent Ho(2), and two equivalent Ho(5) atoms to form MgHo9Mg3 cuboctahedra that share  a cornercorner with one Mg(3)Ho7Mg5 cuboctahedra, corners with two equivalent Mg(2)Ho8Mg4 cuboctahedra,  a faceface with one Mg(3)Ho7Mg5 cuboctahedra, and faces with two equivalent Mg(2)Ho8Mg4 cuboctahedra. In the third Mg site, Mg(2) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Ho(1), one Ho(10), one Ho(2), one Ho(3), one Ho(5), one Ho(6), one Ho(7), and one Ho(8) atom to form MgHo8Mg4 cuboctahedra that share  a cornercorner with one Mg(3)Ho7Mg5 cuboctahedra,  a cornercorner with one Mg(2)Ho8Mg4 cuboctahedra,  a cornercorner with one Mg(1)Ho9Mg3 cuboctahedra,  a faceface with one Mg(3)Ho7Mg5 cuboctahedra,  a faceface with one Mg(2)Ho8Mg4 cuboctahedra, and  a faceface with one Mg(1)Ho9Mg3 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), one Ho(1), one Ho(4), one Ho(9), two equivalent Ho(2), and two equivalent Ho(8) atoms to form MgHo7Mg5 cuboctahedra that share  a cornercorner with one Mg(1)Ho9Mg3 cuboctahedra, corners with two equivalent Mg(2)Ho8Mg4 cuboctahedra,  a faceface with one Mg(1)Ho9Mg3 cuboctahedra, and faces with two equivalent Mg(2)Ho8Mg4 cuboctahedra. There are ten inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 3-coordinate geometry to one Mg(3), two equivalent Mg(2), one Ho(4), two equivalent Ho(5), one Rh(3), and two equivalent Rh(2) atoms. In the second Ho site, Ho(2) is bonded in a 3-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Ho(5), one Ho(6), one Rh(1), one Rh(2), and one Rh(3) atom. In the third Ho site, Ho(3) is bonded in a 3-coordinate geometry to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), one Ho(4), one Rh(1), and two equivalent Rh(2) atoms. In the fourth Ho site, Ho(4) is bonded in a 14-coordinate geometry to one Mg(1), one Mg(3), two equivalent Mg(4), one Ho(1), one Ho(3), two equivalent Ho(10), two equivalent Ho(5), two equivalent Ho(8), and two equivalent Rh(2) atoms. In the fifth Ho site, Ho(5) is bonded in a 14-coordinate geometry to one Mg(1), one Mg(2), one Mg(4), one Ho(1), one Ho(10), one Ho(2), one Ho(4), one Ho(5), one Ho(6), one Ho(7), one Ho(8), one Ho(9), one Rh(2), and one Rh(3) atom. In the sixth Ho site, Ho(6) is bonded in a 14-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Ho(10), two equivalent Ho(2), two equivalent Ho(5), two equivalent Ho(8), one Rh(1), and one Rh(3) atom. In the seventh Ho site, Ho(7) is bonded in a bent 150 degrees geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Ho(5), one Rh(1), and one Rh(3) atom. In the eighth Ho site, Ho(8) is bonded in a bent 150 degrees geometry to one Mg(2), one Mg(3), one Mg(4), one Ho(4), one Ho(5), one Ho(6), one Rh(1), and one Rh(2) atom. In the ninth Ho site, Ho(9) is bonded in a bent 150 degrees geometry to one Mg(1), one Mg(3), two equivalent Mg(4), two equivalent Ho(5), and two equivalent Rh(2) atoms. In the tenth Ho site, Ho(10) is bonded in a bent 150 degrees geometry to one Mg(1), one Mg(2), one Mg(4), one Ho(4), one Ho(5), one Ho(6), one Rh(2), and one Rh(3) atom. There are three inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 6-coordinate geometry to two equivalent Mg(4), one Ho(3), one Ho(6), one Ho(7), two equivalent Ho(2), and two equivalent Ho(8) atoms. In the second Rh site, Rh(2) is bonded in a 6-coordinate geometry to one Mg(4), one Ho(1), one Ho(10), one Ho(2), one Ho(3), one Ho(4), one Ho(5), one Ho(8), and one Ho(9) atom. In the third Rh site, Rh(3) is bonded in a 6-coordinate geometry to one Ho(1), one Ho(6), one Ho(7), two equivalent Ho(10), two equivalent Ho(2), and two equivalent Ho(5) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho7Mg3Rh2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.588
_cell_length_b   9.588
_cell_length_c   9.629
_cell_angle_alpha   60.004
_cell_angle_beta   60.004
_cell_angle_gamma   60.089
_symmetry_Int_Tables_number   1
_cell_volume   626.429
_cell_formula_units_Z   2
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
  Ho  Ho0  1  0.652  0.652  0.654  1.0
  Ho  Ho1  1  0.653  0.040  0.656  1.0
  Ho  Ho2  1  0.040  0.653  0.656  1.0
  Ho  Ho3  1  0.654  0.654  0.041  1.0
  Ho  Ho4  1  0.436  0.436  0.061  1.0
  Ho  Ho5  1  0.063  0.436  0.436  1.0
  Ho  Ho6  1  0.436  0.063  0.436  1.0
  Ho  Ho7  1  0.065  0.065  0.434  1.0
  Ho  Ho8  1  0.811  0.811  0.188  1.0
  Ho  Ho9  1  0.188  0.811  0.811  1.0
  Ho  Ho10  1  0.811  0.188  0.811  1.0
  Ho  Ho11  1  0.190  0.190  0.813  1.0
  Ho  Ho12  1  0.811  0.190  0.189  1.0
  Ho  Ho13  1  0.190  0.811  0.189  1.0
  Mg  Mg14  1  0.420  0.420  0.419  1.0
  Mg  Mg15  1  0.420  0.742  0.416  1.0
  Mg  Mg16  1  0.742  0.420  0.416  1.0
  Mg  Mg17  1  0.417  0.417  0.746  1.0
  Mg  Mg18  1  0.436  0.064  0.065  1.0
  Mg  Mg19  1  0.064  0.436  0.065  1.0
  Rh  Rh20  1  0.860  0.860  0.856  1.0
  Rh  Rh21  1  0.857  0.423  0.858  1.0
  Rh  Rh22  1  0.423  0.857  0.858  1.0
  Rh  Rh23  1  0.861  0.861  0.422  1.0
[/CIF]
.
The material structure described by Mg3Ho7Rh2 crystallizes in the monoclinic Cm space group. There are four inequivalent Mg sites. In the first Mg site, Mg(4) is bonded in a 13-coordinate geometry to one Mg(2), one Mg(3), one Ho(10), one Ho(2), one Ho(3), one Ho(4), one Ho(5), one Ho(6), one Ho(7), one Ho(8), one Ho(9), one Rh(1), and one Rh(2) atom. In the second Mg site, Mg(1) is bonded to one Mg(3), two equivalent Mg(2), one Ho(3), one Ho(4), one Ho(9), two equivalent Ho(10), two equivalent Ho(2), and two equivalent Ho(5) atoms to form MgHo9Mg3 cuboctahedra that share  a cornercorner with one Mg(3)Ho7Mg5 cuboctahedra, corners with two equivalent Mg(2)Ho8Mg4 cuboctahedra,  a faceface with one Mg(3)Ho7Mg5 cuboctahedra, and faces with two equivalent Mg(2)Ho8Mg4 cuboctahedra. In the third Mg site, Mg(2) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Ho(1), one Ho(10), one Ho(2), one Ho(3), one Ho(5), one Ho(6), one Ho(7), and one Ho(8) atom to form MgHo8Mg4 cuboctahedra that share  a cornercorner with one Mg(3)Ho7Mg5 cuboctahedra,  a cornercorner with one Mg(2)Ho8Mg4 cuboctahedra,  a cornercorner with one Mg(1)Ho9Mg3 cuboctahedra,  a faceface with one Mg(3)Ho7Mg5 cuboctahedra,  a faceface with one Mg(2)Ho8Mg4 cuboctahedra, and  a faceface with one Mg(1)Ho9Mg3 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), one Ho(1), one Ho(4), one Ho(9), two equivalent Ho(2), and two equivalent Ho(8) atoms to form MgHo7Mg5 cuboctahedra that share  a cornercorner with one Mg(1)Ho9Mg3 cuboctahedra, corners with two equivalent Mg(2)Ho8Mg4 cuboctahedra,  a faceface with one Mg(1)Ho9Mg3 cuboctahedra, and faces with two equivalent Mg(2)Ho8Mg4 cuboctahedra. There are ten inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 3-coordinate geometry to one Mg(3), two equivalent Mg(2), one Ho(4), two equivalent Ho(5), one Rh(3), and two equivalent Rh(2) atoms. In the second Ho site, Ho(2) is bonded in a 3-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Ho(5), one Ho(6), one Rh(1), one Rh(2), and one Rh(3) atom. In the third Ho site, Ho(3) is bonded in a 3-coordinate geometry to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), one Ho(4), one Rh(1), and two equivalent Rh(2) atoms. In the fourth Ho site, Ho(4) is bonded in a 14-coordinate geometry to one Mg(1), one Mg(3), two equivalent Mg(4), one Ho(1), one Ho(3), two equivalent Ho(10), two equivalent Ho(5), two equivalent Ho(8), and two equivalent Rh(2) atoms. In the fifth Ho site, Ho(5) is bonded in a 14-coordinate geometry to one Mg(1), one Mg(2), one Mg(4), one Ho(1), one Ho(10), one Ho(2), one Ho(4), one Ho(5), one Ho(6), one Ho(7), one Ho(8), one Ho(9), one Rh(2), and one Rh(3) atom. In the sixth Ho site, Ho(6) is bonded in a 14-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Ho(10), two equivalent Ho(2), two equivalent Ho(5), two equivalent Ho(8), one Rh(1), and one Rh(3) atom. In the seventh Ho site, Ho(7) is bonded in a bent 150 degrees geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Ho(5), one Rh(1), and one Rh(3) atom. In the eighth Ho site, Ho(8) is bonded in a bent 150 degrees geometry to one Mg(2), one Mg(3), one Mg(4), one Ho(4), one Ho(5), one Ho(6), one Rh(1), and one Rh(2) atom. In the ninth Ho site, Ho(9) is bonded in a bent 150 degrees geometry to one Mg(1), one Mg(3), two equivalent Mg(4), two equivalent Ho(5), and two equivalent Rh(2) atoms. In the tenth Ho site, Ho(10) is bonded in a bent 150 degrees geometry to one Mg(1), one Mg(2), one Mg(4), one Ho(4), one Ho(5), one Ho(6), one Rh(2), and one Rh(3) atom. There are three inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 6-coordinate geometry to two equivalent Mg(4), one Ho(3), one Ho(6), one Ho(7), two equivalent Ho(2), and two equivalent Ho(8) atoms. In the second Rh site, Rh(2) is bonded in a 6-coordinate geometry to one Mg(4), one Ho(1), one Ho(10), one Ho(2), one Ho(3), one Ho(4), one Ho(5), one Ho(8), and one Ho(9) atom. In the third Rh site, Rh(3) is bonded in a 6-coordinate geometry to one Ho(1), one Ho(6), one Ho(7), two equivalent Ho(10), two equivalent Ho(2), and two equivalent Ho(5) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho7Mg3Rh2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.588
_cell_length_b   9.588
_cell_length_c   9.629
_cell_angle_alpha   60.004
_cell_angle_beta   60.004
_cell_angle_gamma   60.089
_symmetry_Int_Tables_number   1
_cell_volume   626.429
_cell_formula_units_Z   2
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
  Ho  Ho0  1  0.652  0.652  0.654  1.0
  Ho  Ho1  1  0.653  0.040  0.656  1.0
  Ho  Ho2  1  0.040  0.653  0.656  1.0
  Ho  Ho3  1  0.654  0.654  0.041  1.0
  Ho  Ho4  1  0.436  0.436  0.061  1.0
  Ho  Ho5  1  0.063  0.436  0.436  1.0
  Ho  Ho6  1  0.436  0.063  0.436  1.0
  Ho  Ho7  1  0.065  0.065  0.434  1.0
  Ho  Ho8  1  0.811  0.811  0.188  1.0
  Ho  Ho9  1  0.188  0.811  0.811  1.0
  Ho  Ho10  1  0.811  0.188  0.811  1.0
  Ho  Ho11  1  0.190  0.190  0.813  1.0
  Ho  Ho12  1  0.811  0.190  0.189  1.0
  Ho  Ho13  1  0.190  0.811  0.189  1.0
  Mg  Mg14  1  0.420  0.420  0.419  1.0
  Mg  Mg15  1  0.420  0.742  0.416  1.0
  Mg  Mg16  1  0.742  0.420  0.416  1.0
  Mg  Mg17  1  0.417  0.417  0.746  1.0
  Mg  Mg18  1  0.436  0.064  0.065  1.0
  Mg  Mg19  1  0.064  0.436  0.065  1.0
  Rh  Rh20  1  0.860  0.860  0.856  1.0
  Rh  Rh21  1  0.857  0.423  0.858  1.0
  Rh  Rh22  1  0.423  0.857  0.858  1.0
  Rh  Rh23  1  0.861  0.861  0.422  1.0
[/CIF]
.