The compound described by Ti8Rh7Al15 crystallizes in the orthorhombic Imm2 space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 13-coordinate geometry to one Ti(4), one Rh(2), one Rh(3), two equivalent Rh(1), one Al(1), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), and one Al(8) atom. In the second Ti site, Ti(2) is bonded in a 13-coordinate geometry to two equivalent Ti(4), four equivalent Rh(1), one Al(1), two equivalent Al(2), two equivalent Al(5), and two equivalent Al(8) atoms. In the third Ti site, Ti(3) is bonded in a 13-coordinate geometry to four equivalent Rh(1), one Al(1), two equivalent Al(3), two equivalent Al(4), two equivalent Al(6), and two equivalent Al(7) atoms. In the fourth Ti site, Ti(4) is bonded to one Ti(2), two equivalent Ti(1), one Rh(2), one Rh(4), and two equivalent Rh(1) atoms to form distorted TiTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Ti(4)Ti3Rh4 tetrahedra, corners with two equivalent Al(6)Ti3Rh4 tetrahedra, corners with four equivalent Al(7)Ti3Rh4 tetrahedra,  an edgeedge with one Ti(4)Ti3Rh4 tetrahedra, edges with two equivalent Al(6)Ti3Rh4 tetrahedra,  a faceface with one Al(7)Ti3Rh4 tetrahedra, and faces with two equivalent Al(8)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-48°. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 8-coordinate geometry to one Ti(2), one Ti(3), one Ti(4), two equivalent Ti(1), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), and one Al(8) atom. In the second Rh site, Rh(2) is bonded in a 8-coordinate geometry to two equivalent Ti(4), four equivalent Ti(1), two equivalent Al(3), two equivalent Al(5), and two equivalent Al(7) atoms. In the third Rh site, Rh(3) is bonded in a 8-coordinate geometry to four equivalent Ti(1), two equivalent Al(2), two equivalent Al(4), two equivalent Al(6), and two equivalent Al(8) atoms. In the fourth Rh site, Rh(4) is bonded in a body-centered cubic geometry to two equivalent Ti(4), two equivalent Al(6), two equivalent Al(7), and two equivalent Al(8) atoms. There are eight inequivalent Al sites. In the first Al site, Al(1) is bonded to one Ti(2), one Ti(3), and four equivalent Ti(1) atoms to form AlTi6 octahedra that share corners with six equivalent Ti(4)Ti3Rh4 tetrahedra, corners with six equivalent Al(6)Ti3Rh4 tetrahedra, corners with six equivalent Al(7)Ti3Rh4 tetrahedra, and corners with six equivalent Al(8)Ti3Rh4 tetrahedra. In the second Al site, Al(2) is bonded in a distorted trigonal planar geometry to one Ti(2), two equivalent Ti(1), one Rh(3), and two equivalent Rh(1) atoms. In the third Al site, Al(3) is bonded in a 3-coordinate geometry to one Ti(3), two equivalent Ti(1), one Rh(2), and two equivalent Rh(1) atoms. In the fourth Al site, Al(4) is bonded in a distorted trigonal planar geometry to one Ti(3), two equivalent Ti(1), one Rh(3), and two equivalent Rh(1) atoms. In the fifth Al site, Al(5) is bonded in a distorted trigonal planar geometry to one Ti(2), two equivalent Ti(1), one Rh(2), and two equivalent Rh(1) atoms. In the sixth Al site, Al(6) is bonded to one Ti(3), two equivalent Ti(1), one Rh(3), one Rh(4), and two equivalent Rh(1) atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Al(6)Ti3Rh4 tetrahedra, corners with two equivalent Ti(4)Ti3Rh4 tetrahedra, corners with four equivalent Al(8)Ti3Rh4 tetrahedra,  an edgeedge with one Al(6)Ti3Rh4 tetrahedra, edges with two equivalent Ti(4)Ti3Rh4 tetrahedra,  a faceface with one Al(8)Ti3Rh4 tetrahedra, and faces with two equivalent Al(7)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-47°. In the seventh Al site, Al(7) is bonded to one Ti(3), two equivalent Ti(1), one Rh(2), one Rh(4), and two equivalent Rh(1) atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Al(7)Ti3Rh4 tetrahedra, corners with two equivalent Al(8)Ti3Rh4 tetrahedra, corners with four equivalent Ti(4)Ti3Rh4 tetrahedra,  an edgeedge with one Al(7)Ti3Rh4 tetrahedra, edges with two equivalent Al(8)Ti3Rh4 tetrahedra,  a faceface with one Ti(4)Ti3Rh4 tetrahedra, and faces with two equivalent Al(6)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-47°. In the eighth Al site, Al(8) is bonded to one Ti(2), two equivalent Ti(1), one Rh(3), one Rh(4), and two equivalent Rh(1) atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Al(8)Ti3Rh4 tetrahedra, corners with two equivalent Al(7)Ti3Rh4 tetrahedra, corners with four equivalent Al(6)Ti3Rh4 tetrahedra,  an edgeedge with one Al(8)Ti3Rh4 tetrahedra, edges with two equivalent Al(7)Ti3Rh4 tetrahedra,  a faceface with one Al(6)Ti3Rh4 tetrahedra, and faces with two equivalent Ti(4)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-48°. is represented by the CIF file [CIF]
data_Ti8Al15Rh7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.592
_cell_length_b   8.592
_cell_length_c   8.592
_cell_angle_alpha   120.101
_cell_angle_beta   119.852
_cell_angle_gamma   90.041
_symmetry_Int_Tables_number   1
_cell_volume   448.622
_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
  Ti  Ti0  1  0.791  0.290  0.074  1.0
  Ti  Ti1  1  0.216  0.290  0.499  1.0
  Ti  Ti2  1  0.208  0.708  0.500  1.0
  Ti  Ti3  1  0.216  0.718  0.926  1.0
  Ti  Ti4  1  0.791  0.718  0.501  1.0
  Ti  Ti5  1  0.782  0.282  0.500  1.0
  Ti  Ti6  1  0.379  0.123  0.743  1.0
  Ti  Ti7  1  0.379  0.636  0.257  1.0
  Al  Al8  1  0.996  0.496  0.500  1.0
  Al  Al9  1  0.154  0.343  0.189  1.0
  Al  Al10  1  0.154  0.965  0.811  1.0
  Al  Al11  1  0.150  0.347  0.803  1.0
  Al  Al12  1  0.544  0.347  0.197  1.0
  Al  Al13  1  0.846  0.652  0.807  1.0
  Al  Al14  1  0.846  0.039  0.193  1.0
  Al  Al15  1  0.843  0.655  0.188  1.0
  Al  Al16  1  0.466  0.655  0.812  1.0
  Al  Al17  1  0.379  0.122  0.258  1.0
  Al  Al18  1  0.864  0.122  0.742  1.0
  Al  Al19  1  0.622  0.878  0.256  1.0
  Al  Al20  1  0.622  0.366  0.744  1.0
  Al  Al21  1  0.622  0.878  0.744  1.0
  Al  Al22  1  0.134  0.878  0.256  1.0
  Rh  Rh23  1  0.002  1.000  0.502  1.0
  Rh  Rh24  1  0.498  1.000  0.998  1.0
  Rh  Rh25  1  0.497  0.497  1.000  1.0
  Rh  Rh26  1  0.498  0.500  0.498  1.0
  Rh  Rh27  1  0.002  0.500  0.002  1.0
  Rh  Rh28  1  0.999  0.999  0.000  1.0
  Rh  Rh29  1  0.499  0.999  0.500  1.0
[/CIF]
.
The compound described by Ti8Rh7Al15 crystallizes in the orthorhombic Imm2 space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 13-coordinate geometry to one Ti(4), one Rh(2), one Rh(3), two equivalent Rh(1), one Al(1), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), and one Al(8) atom. In the second Ti site, Ti(2) is bonded in a 13-coordinate geometry to two equivalent Ti(4), four equivalent Rh(1), one Al(1), two equivalent Al(2), two equivalent Al(5), and two equivalent Al(8) atoms. In the third Ti site, Ti(3) is bonded in a 13-coordinate geometry to four equivalent Rh(1), one Al(1), two equivalent Al(3), two equivalent Al(4), two equivalent Al(6), and two equivalent Al(7) atoms. In the fourth Ti site, Ti(4) is bonded to one Ti(2), two equivalent Ti(1), one Rh(2), one Rh(4), and two equivalent Rh(1) atoms to form distorted TiTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Ti(4)Ti3Rh4 tetrahedra, corners with two equivalent Al(6)Ti3Rh4 tetrahedra, corners with four equivalent Al(7)Ti3Rh4 tetrahedra,  an edgeedge with one Ti(4)Ti3Rh4 tetrahedra, edges with two equivalent Al(6)Ti3Rh4 tetrahedra,  a faceface with one Al(7)Ti3Rh4 tetrahedra, and faces with two equivalent Al(8)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-48°. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 8-coordinate geometry to one Ti(2), one Ti(3), one Ti(4), two equivalent Ti(1), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), and one Al(8) atom. In the second Rh site, Rh(2) is bonded in a 8-coordinate geometry to two equivalent Ti(4), four equivalent Ti(1), two equivalent Al(3), two equivalent Al(5), and two equivalent Al(7) atoms. In the third Rh site, Rh(3) is bonded in a 8-coordinate geometry to four equivalent Ti(1), two equivalent Al(2), two equivalent Al(4), two equivalent Al(6), and two equivalent Al(8) atoms. In the fourth Rh site, Rh(4) is bonded in a body-centered cubic geometry to two equivalent Ti(4), two equivalent Al(6), two equivalent Al(7), and two equivalent Al(8) atoms. There are eight inequivalent Al sites. In the first Al site, Al(1) is bonded to one Ti(2), one Ti(3), and four equivalent Ti(1) atoms to form AlTi6 octahedra that share corners with six equivalent Ti(4)Ti3Rh4 tetrahedra, corners with six equivalent Al(6)Ti3Rh4 tetrahedra, corners with six equivalent Al(7)Ti3Rh4 tetrahedra, and corners with six equivalent Al(8)Ti3Rh4 tetrahedra. In the second Al site, Al(2) is bonded in a distorted trigonal planar geometry to one Ti(2), two equivalent Ti(1), one Rh(3), and two equivalent Rh(1) atoms. In the third Al site, Al(3) is bonded in a 3-coordinate geometry to one Ti(3), two equivalent Ti(1), one Rh(2), and two equivalent Rh(1) atoms. In the fourth Al site, Al(4) is bonded in a distorted trigonal planar geometry to one Ti(3), two equivalent Ti(1), one Rh(3), and two equivalent Rh(1) atoms. In the fifth Al site, Al(5) is bonded in a distorted trigonal planar geometry to one Ti(2), two equivalent Ti(1), one Rh(2), and two equivalent Rh(1) atoms. In the sixth Al site, Al(6) is bonded to one Ti(3), two equivalent Ti(1), one Rh(3), one Rh(4), and two equivalent Rh(1) atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Al(6)Ti3Rh4 tetrahedra, corners with two equivalent Ti(4)Ti3Rh4 tetrahedra, corners with four equivalent Al(8)Ti3Rh4 tetrahedra,  an edgeedge with one Al(6)Ti3Rh4 tetrahedra, edges with two equivalent Ti(4)Ti3Rh4 tetrahedra,  a faceface with one Al(8)Ti3Rh4 tetrahedra, and faces with two equivalent Al(7)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-47°. In the seventh Al site, Al(7) is bonded to one Ti(3), two equivalent Ti(1), one Rh(2), one Rh(4), and two equivalent Rh(1) atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Al(7)Ti3Rh4 tetrahedra, corners with two equivalent Al(8)Ti3Rh4 tetrahedra, corners with four equivalent Ti(4)Ti3Rh4 tetrahedra,  an edgeedge with one Al(7)Ti3Rh4 tetrahedra, edges with two equivalent Al(8)Ti3Rh4 tetrahedra,  a faceface with one Ti(4)Ti3Rh4 tetrahedra, and faces with two equivalent Al(6)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-47°. In the eighth Al site, Al(8) is bonded to one Ti(2), two equivalent Ti(1), one Rh(3), one Rh(4), and two equivalent Rh(1) atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent Al(1)Ti6 octahedra,  a cornercorner with one Al(8)Ti3Rh4 tetrahedra, corners with two equivalent Al(7)Ti3Rh4 tetrahedra, corners with four equivalent Al(6)Ti3Rh4 tetrahedra,  an edgeedge with one Al(8)Ti3Rh4 tetrahedra, edges with two equivalent Al(7)Ti3Rh4 tetrahedra,  a faceface with one Al(6)Ti3Rh4 tetrahedra, and faces with two equivalent Ti(4)Ti3Rh4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-48°. is represented by the CIF file [CIF]
data_Ti8Al15Rh7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.592
_cell_length_b   8.592
_cell_length_c   8.592
_cell_angle_alpha   120.101
_cell_angle_beta   119.852
_cell_angle_gamma   90.041
_symmetry_Int_Tables_number   1
_cell_volume   448.622
_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
  Ti  Ti0  1  0.791  0.290  0.074  1.0
  Ti  Ti1  1  0.216  0.290  0.499  1.0
  Ti  Ti2  1  0.208  0.708  0.500  1.0
  Ti  Ti3  1  0.216  0.718  0.926  1.0
  Ti  Ti4  1  0.791  0.718  0.501  1.0
  Ti  Ti5  1  0.782  0.282  0.500  1.0
  Ti  Ti6  1  0.379  0.123  0.743  1.0
  Ti  Ti7  1  0.379  0.636  0.257  1.0
  Al  Al8  1  0.996  0.496  0.500  1.0
  Al  Al9  1  0.154  0.343  0.189  1.0
  Al  Al10  1  0.154  0.965  0.811  1.0
  Al  Al11  1  0.150  0.347  0.803  1.0
  Al  Al12  1  0.544  0.347  0.197  1.0
  Al  Al13  1  0.846  0.652  0.807  1.0
  Al  Al14  1  0.846  0.039  0.193  1.0
  Al  Al15  1  0.843  0.655  0.188  1.0
  Al  Al16  1  0.466  0.655  0.812  1.0
  Al  Al17  1  0.379  0.122  0.258  1.0
  Al  Al18  1  0.864  0.122  0.742  1.0
  Al  Al19  1  0.622  0.878  0.256  1.0
  Al  Al20  1  0.622  0.366  0.744  1.0
  Al  Al21  1  0.622  0.878  0.744  1.0
  Al  Al22  1  0.134  0.878  0.256  1.0
  Rh  Rh23  1  0.002  1.000  0.502  1.0
  Rh  Rh24  1  0.498  1.000  0.998  1.0
  Rh  Rh25  1  0.497  0.497  1.000  1.0
  Rh  Rh26  1  0.498  0.500  0.498  1.0
  Rh  Rh27  1  0.002  0.500  0.002  1.0
  Rh  Rh28  1  0.999  0.999  0.000  1.0
  Rh  Rh29  1  0.499  0.999  0.500  1.0
[/CIF]
.