The crystal structure described by Sc8Rh20B8As3 crystallizes in the monoclinic P2/m space group. There are four inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 13-coordinate geometry to two equivalent Rh(11), two equivalent Rh(3), two equivalent Rh(4), two equivalent Rh(6), two equivalent Rh(8), one B(1), one B(3), and one B(4) atom. In the second Sc site, Sc(2) is bonded in a 13-coordinate geometry to two equivalent Rh(10), two equivalent Rh(3), two equivalent Rh(5), two equivalent Rh(7), two equivalent Rh(9), one B(2), one B(3), and one B(4) atom. In the third Sc site, Sc(3) is bonded in a 13-coordinate geometry to two equivalent Rh(1), two equivalent Rh(10), two equivalent Rh(4), two equivalent Rh(6), two equivalent Rh(8), one B(3), and two equivalent B(1) atoms. In the fourth Sc site, Sc(4) is bonded in a 13-coordinate geometry to two equivalent Rh(11), two equivalent Rh(2), two equivalent Rh(5), two equivalent Rh(7), two equivalent Rh(9), one B(4), and two equivalent B(2) atoms. There are eleven inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a distorted body-centered cubic geometry to four equivalent Sc(3) and four equivalent B(1) atoms. In the second Rh site, Rh(2) is bonded in a 8-coordinate geometry to four equivalent Sc(4) and four equivalent B(2) atoms. In the third Rh site, Rh(3) is bonded in a 8-coordinate geometry to two equivalent Sc(1), two equivalent Sc(2), two equivalent B(3), and two equivalent B(4) atoms. In the fourth Rh site, Rh(4) is bonded in a 2-coordinate geometry to two equivalent Sc(1), two equivalent Sc(3), and two equivalent B(3) atoms. In the fifth Rh site, Rh(5) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(4), two equivalent B(4), and two equivalent As(1) atoms. In the sixth Rh site, Rh(6) is bonded in a 8-coordinate geometry to two equivalent Sc(1), two equivalent Sc(3), two equivalent B(1), and two equivalent As(2) atoms. In the seventh Rh site, Rh(7) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(4), two equivalent B(2), and two equivalent As(2) atoms. In the eighth Rh site, Rh(8) is bonded in a 2-coordinate geometry to two equivalent Sc(1), two equivalent Sc(3), and two equivalent B(1) atoms. In the ninth Rh site, Rh(9) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(4), two equivalent B(2), and two equivalent As(1) atoms. In the tenth Rh site, Rh(10) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(3), two equivalent B(3), and two equivalent As(2) atoms. In the eleventh Rh site, Rh(11) is bonded in a 8-coordinate geometry to two equivalent Sc(1), two equivalent Sc(4), two equivalent B(4), and two equivalent As(2) atoms. There are four inequivalent B sites. In the first B site, B(1) is bonded in a 9-coordinate geometry to one Sc(1), two equivalent Sc(3), two equivalent Rh(1), two equivalent Rh(6), and two equivalent Rh(8) atoms. In the second B site, B(2) is bonded in a 9-coordinate geometry to one Sc(2), two equivalent Sc(4), two equivalent Rh(2), two equivalent Rh(7), and two equivalent Rh(9) atoms. In the third B site, B(3) is bonded in a 9-coordinate geometry to one Sc(1), one Sc(2), one Sc(3), two equivalent Rh(10), two equivalent Rh(3), and two equivalent Rh(4) atoms. In the fourth B site, B(4) is bonded in a 9-coordinate geometry to one Sc(1), one Sc(2), one Sc(4), two equivalent Rh(11), two equivalent Rh(3), and two equivalent Rh(5) atoms. There are two inequivalent As sites. In the first As site, As(1) is bonded in a body-centered cubic geometry to four equivalent Rh(5) and four equivalent Rh(9) atoms. In the second As site, As(2) is bonded in a body-centered cubic geometry to two equivalent Rh(10), two equivalent Rh(11), two equivalent Rh(6), and two equivalent Rh(7) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Sc8B8As3Rh20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.165
_cell_length_b   9.203
_cell_length_c   18.408
_cell_angle_alpha   89.993
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   536.249
_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
  Sc  Sc0  1  0.000  0.673  0.339  1.0
  Sc  Sc1  1  0.000  0.674  0.834  1.0
  Sc  Sc2  1  0.000  0.327  0.661  1.0
  Sc  Sc3  1  0.000  0.326  0.166  1.0
  Sc  Sc4  1  0.000  0.826  0.586  1.0
  Sc  Sc5  1  0.000  0.825  0.088  1.0
  Sc  Sc6  1  0.000  0.174  0.414  1.0
  Sc  Sc7  1  0.000  0.175  0.912  1.0
  B  B8  1  0.000  0.860  0.443  1.0
  B  B9  1  0.000  0.877  0.938  1.0
  B  B10  1  0.000  0.140  0.557  1.0
  B  B11  1  0.000  0.123  0.062  1.0
  B  B12  1  0.000  0.617  0.679  1.0
  B  B13  1  0.000  0.622  0.190  1.0
  B  B14  1  0.000  0.383  0.321  1.0
  B  B15  1  0.000  0.378  0.810  1.0
  As  As16  1  0.000  0.500  0.000  1.0
  As  As17  1  0.000  0.999  0.747  1.0
  As  As18  1  0.000  0.001  0.253  1.0
  Rh  Rh19  1  0.500  0.000  0.500  1.0
  Rh  Rh20  1  0.500  0.000  0.000  1.0
  Rh  Rh21  1  0.500  0.499  0.749  1.0
  Rh  Rh22  1  0.500  0.501  0.251  1.0
  Rh  Rh23  1  0.500  0.432  0.397  1.0
  Rh  Rh24  1  0.500  0.429  0.892  1.0
  Rh  Rh25  1  0.500  0.568  0.603  1.0
  Rh  Rh26  1  0.500  0.571  0.108  1.0
  Rh  Rh27  1  0.500  0.075  0.641  1.0
  Rh  Rh28  1  0.500  0.072  0.142  1.0
  Rh  Rh29  1  0.500  0.925  0.359  1.0
  Rh  Rh30  1  0.500  0.928  0.858  1.0
  Rh  Rh31  1  0.500  0.293  0.534  1.0
  Rh  Rh32  1  0.500  0.284  0.037  1.0
  Rh  Rh33  1  0.500  0.707  0.466  1.0
  Rh  Rh34  1  0.500  0.716  0.963  1.0
  Rh  Rh35  1  0.500  0.783  0.712  1.0
  Rh  Rh36  1  0.500  0.785  0.213  1.0
  Rh  Rh37  1  0.500  0.217  0.288  1.0
  Rh  Rh38  1  0.500  0.215  0.787  1.0
[/CIF]
.
The crystal structure described by Sc8Rh20B8As3 crystallizes in the monoclinic P2/m space group. There are four inequivalent Sc sites. In the first Sc site, Sc(1) is bonded in a 13-coordinate geometry to two equivalent Rh(11), two equivalent Rh(3), two equivalent Rh(4), two equivalent Rh(6), two equivalent Rh(8), one B(1), one B(3), and one B(4) atom. In the second Sc site, Sc(2) is bonded in a 13-coordinate geometry to two equivalent Rh(10), two equivalent Rh(3), two equivalent Rh(5), two equivalent Rh(7), two equivalent Rh(9), one B(2), one B(3), and one B(4) atom. In the third Sc site, Sc(3) is bonded in a 13-coordinate geometry to two equivalent Rh(1), two equivalent Rh(10), two equivalent Rh(4), two equivalent Rh(6), two equivalent Rh(8), one B(3), and two equivalent B(1) atoms. In the fourth Sc site, Sc(4) is bonded in a 13-coordinate geometry to two equivalent Rh(11), two equivalent Rh(2), two equivalent Rh(5), two equivalent Rh(7), two equivalent Rh(9), one B(4), and two equivalent B(2) atoms. There are eleven inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a distorted body-centered cubic geometry to four equivalent Sc(3) and four equivalent B(1) atoms. In the second Rh site, Rh(2) is bonded in a 8-coordinate geometry to four equivalent Sc(4) and four equivalent B(2) atoms. In the third Rh site, Rh(3) is bonded in a 8-coordinate geometry to two equivalent Sc(1), two equivalent Sc(2), two equivalent B(3), and two equivalent B(4) atoms. In the fourth Rh site, Rh(4) is bonded in a 2-coordinate geometry to two equivalent Sc(1), two equivalent Sc(3), and two equivalent B(3) atoms. In the fifth Rh site, Rh(5) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(4), two equivalent B(4), and two equivalent As(1) atoms. In the sixth Rh site, Rh(6) is bonded in a 8-coordinate geometry to two equivalent Sc(1), two equivalent Sc(3), two equivalent B(1), and two equivalent As(2) atoms. In the seventh Rh site, Rh(7) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(4), two equivalent B(2), and two equivalent As(2) atoms. In the eighth Rh site, Rh(8) is bonded in a 2-coordinate geometry to two equivalent Sc(1), two equivalent Sc(3), and two equivalent B(1) atoms. In the ninth Rh site, Rh(9) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(4), two equivalent B(2), and two equivalent As(1) atoms. In the tenth Rh site, Rh(10) is bonded in a 8-coordinate geometry to two equivalent Sc(2), two equivalent Sc(3), two equivalent B(3), and two equivalent As(2) atoms. In the eleventh Rh site, Rh(11) is bonded in a 8-coordinate geometry to two equivalent Sc(1), two equivalent Sc(4), two equivalent B(4), and two equivalent As(2) atoms. There are four inequivalent B sites. In the first B site, B(1) is bonded in a 9-coordinate geometry to one Sc(1), two equivalent Sc(3), two equivalent Rh(1), two equivalent Rh(6), and two equivalent Rh(8) atoms. In the second B site, B(2) is bonded in a 9-coordinate geometry to one Sc(2), two equivalent Sc(4), two equivalent Rh(2), two equivalent Rh(7), and two equivalent Rh(9) atoms. In the third B site, B(3) is bonded in a 9-coordinate geometry to one Sc(1), one Sc(2), one Sc(3), two equivalent Rh(10), two equivalent Rh(3), and two equivalent Rh(4) atoms. In the fourth B site, B(4) is bonded in a 9-coordinate geometry to one Sc(1), one Sc(2), one Sc(4), two equivalent Rh(11), two equivalent Rh(3), and two equivalent Rh(5) atoms. There are two inequivalent As sites. In the first As site, As(1) is bonded in a body-centered cubic geometry to four equivalent Rh(5) and four equivalent Rh(9) atoms. In the second As site, As(2) is bonded in a body-centered cubic geometry to two equivalent Rh(10), two equivalent Rh(11), two equivalent Rh(6), and two equivalent Rh(7) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Sc8B8As3Rh20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.165
_cell_length_b   9.203
_cell_length_c   18.408
_cell_angle_alpha   89.993
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   536.249
_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
  Sc  Sc0  1  0.000  0.673  0.339  1.0
  Sc  Sc1  1  0.000  0.674  0.834  1.0
  Sc  Sc2  1  0.000  0.327  0.661  1.0
  Sc  Sc3  1  0.000  0.326  0.166  1.0
  Sc  Sc4  1  0.000  0.826  0.586  1.0
  Sc  Sc5  1  0.000  0.825  0.088  1.0
  Sc  Sc6  1  0.000  0.174  0.414  1.0
  Sc  Sc7  1  0.000  0.175  0.912  1.0
  B  B8  1  0.000  0.860  0.443  1.0
  B  B9  1  0.000  0.877  0.938  1.0
  B  B10  1  0.000  0.140  0.557  1.0
  B  B11  1  0.000  0.123  0.062  1.0
  B  B12  1  0.000  0.617  0.679  1.0
  B  B13  1  0.000  0.622  0.190  1.0
  B  B14  1  0.000  0.383  0.321  1.0
  B  B15  1  0.000  0.378  0.810  1.0
  As  As16  1  0.000  0.500  0.000  1.0
  As  As17  1  0.000  0.999  0.747  1.0
  As  As18  1  0.000  0.001  0.253  1.0
  Rh  Rh19  1  0.500  0.000  0.500  1.0
  Rh  Rh20  1  0.500  0.000  0.000  1.0
  Rh  Rh21  1  0.500  0.499  0.749  1.0
  Rh  Rh22  1  0.500  0.501  0.251  1.0
  Rh  Rh23  1  0.500  0.432  0.397  1.0
  Rh  Rh24  1  0.500  0.429  0.892  1.0
  Rh  Rh25  1  0.500  0.568  0.603  1.0
  Rh  Rh26  1  0.500  0.571  0.108  1.0
  Rh  Rh27  1  0.500  0.075  0.641  1.0
  Rh  Rh28  1  0.500  0.072  0.142  1.0
  Rh  Rh29  1  0.500  0.925  0.359  1.0
  Rh  Rh30  1  0.500  0.928  0.858  1.0
  Rh  Rh31  1  0.500  0.293  0.534  1.0
  Rh  Rh32  1  0.500  0.284  0.037  1.0
  Rh  Rh33  1  0.500  0.707  0.466  1.0
  Rh  Rh34  1  0.500  0.716  0.963  1.0
  Rh  Rh35  1  0.500  0.783  0.712  1.0
  Rh  Rh36  1  0.500  0.785  0.213  1.0
  Rh  Rh37  1  0.500  0.217  0.288  1.0
  Rh  Rh38  1  0.500  0.215  0.787  1.0
[/CIF]
.