The material structure described by V9Fe3Ga4 crystallizes in the monoclinic Pm space group. There are seven inequivalent V sites. In the first V site, V(1) is bonded in a 14-coordinate geometry to two equivalent V(2), two equivalent V(3), two equivalent V(5), two equivalent V(7), two equivalent Fe(1), one Ga(1), one Ga(2), and two equivalent Ga(4) atoms. In the second V site, V(2) is bonded in a 14-coordinate geometry to one V(1), one V(6), one V(7), two equivalent V(2), two equivalent V(4), one Fe(3), two equivalent Fe(1), one Ga(3), one Ga(4), and two equivalent Ga(1) atoms. In the third V site, V(3) is bonded in a 14-coordinate geometry to one V(1), one V(6), one V(7), two equivalent V(3), two equivalent V(5), one Fe(3), two equivalent Fe(2), one Ga(3), one Ga(4), and two equivalent Ga(2) atoms. In the fourth V site, V(4) is bonded in a 14-coordinate geometry to two equivalent V(6), four equivalent V(2), one Fe(1), one Fe(2), two equivalent Fe(3), two equivalent Ga(1), and two equivalent Ga(3) atoms. In the fifth V site, V(5) is bonded in a 6-coordinate geometry to two equivalent V(1), two equivalent V(7), four equivalent V(3), one Fe(1), one Fe(2), two equivalent Ga(2), and two equivalent Ga(4) atoms. In the sixth V site, V(6) is bonded in a 2-coordinate geometry to two equivalent V(2), two equivalent V(3), two equivalent V(4), two equivalent Fe(3), one Ga(1), one Ga(2), and two equivalent Ga(3) atoms. In the seventh V site, V(7) is bonded in a 14-coordinate geometry to two equivalent V(1), two equivalent V(2), two equivalent V(3), two equivalent V(5), two equivalent Fe(1), one Ga(1), one Ga(2), and two equivalent Ga(4) atoms. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a distorted linear geometry to one V(4), one V(5), two equivalent V(1), two equivalent V(7), four equivalent V(2), two equivalent Ga(1), and two equivalent Ga(4) atoms. In the second Fe site, Fe(2) is bonded in a distorted linear geometry to one V(4), one V(5), four equivalent V(3), two equivalent Ga(2), and two equivalent Ga(3) atoms. In the third Fe site, Fe(3) is bonded in a distorted linear geometry to two equivalent V(2), two equivalent V(3), two equivalent V(4), two equivalent V(6), one Ga(1), one Ga(2), and two equivalent Ga(3) atoms. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one V(1), one V(6), one V(7), two equivalent V(4), four equivalent V(2), one Fe(3), and two equivalent Fe(1) atoms to form GaV9Fe3 cuboctahedra that share edges with two equivalent Ga(2)V9Fe3 cuboctahedra, edges with four equivalent Ga(1)V9Fe3 cuboctahedra, faces with four equivalent Ga(4)V10Fe2 cuboctahedra, and faces with four equivalent Ga(3)V8Fe4 cuboctahedra. In the second Ga site, Ga(2) is bonded to one V(1), one V(6), one V(7), two equivalent V(5), four equivalent V(3), one Fe(3), and two equivalent Fe(2) atoms to form GaV9Fe3 cuboctahedra that share edges with two equivalent Ga(1)V9Fe3 cuboctahedra, edges with four equivalent Ga(2)V9Fe3 cuboctahedra, faces with four equivalent Ga(4)V10Fe2 cuboctahedra, and faces with four equivalent Ga(3)V8Fe4 cuboctahedra. In the third Ga site, Ga(3) is bonded to two equivalent V(2), two equivalent V(3), two equivalent V(4), two equivalent V(6), two equivalent Fe(2), and two equivalent Fe(3) atoms to form GaV8Fe4 cuboctahedra that share edges with two equivalent Ga(4)V10Fe2 cuboctahedra, edges with four equivalent Ga(3)V8Fe4 cuboctahedra, faces with four equivalent Ga(1)V9Fe3 cuboctahedra, and faces with four equivalent Ga(2)V9Fe3 cuboctahedra. In the fourth Ga site, Ga(4) is bonded to two equivalent V(1), two equivalent V(2), two equivalent V(3), two equivalent V(5), two equivalent V(7), and two equivalent Fe(1) atoms to form GaV10Fe2 cuboctahedra that share edges with two equivalent Ga(3)V8Fe4 cuboctahedra, edges with four equivalent Ga(4)V10Fe2 cuboctahedra, faces with four equivalent Ga(1)V9Fe3 cuboctahedra, and faces with four equivalent Ga(2)V9Fe3 cuboctahedra. is represented by the CIF card [CIF]
data_V9Ga4Fe3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.660
_cell_length_b   4.698
_cell_length_c   9.480
_cell_angle_alpha   89.989
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   207.519
_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
  V  V0  1  0.500  0.748  0.501  1.0
  V  V1  1  0.751  0.003  0.248  1.0
  V  V2  1  0.753  0.999  0.751  1.0
  V  V3  1  0.000  0.499  0.123  1.0
  V  V4  1  0.000  0.498  0.624  1.0
  V  V5  1  0.500  0.259  0.001  1.0
  V  V6  1  0.500  0.248  0.501  1.0
  V  V7  1  0.249  0.003  0.248  1.0
  V  V8  1  0.247  0.999  0.751  1.0
  Ga  Ga9  1  0.500  0.502  0.251  1.0
  Ga  Ga10  1  0.500  0.501  0.751  1.0
  Ga  Ga11  1  0.000  0.995  1.000  1.0
  Ga  Ga12  1  0.000  0.998  0.499  1.0
  Fe  Fe13  1  0.000  0.497  0.373  1.0
  Fe  Fe14  1  0.000  0.498  0.877  1.0
  Fe  Fe15  1  0.500  0.752  0.002  1.0
[/CIF]
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The material structure described by V9Fe3Ga4 crystallizes in the monoclinic Pm space group. There are seven inequivalent V sites. In the first V site, V(1) is bonded in a 14-coordinate geometry to two equivalent V(2), two equivalent V(3), two equivalent V(5), two equivalent V(7), two equivalent Fe(1), one Ga(1), one Ga(2), and two equivalent Ga(4) atoms. In the second V site, V(2) is bonded in a 14-coordinate geometry to one V(1), one V(6), one V(7), two equivalent V(2), two equivalent V(4), one Fe(3), two equivalent Fe(1), one Ga(3), one Ga(4), and two equivalent Ga(1) atoms. In the third V site, V(3) is bonded in a 14-coordinate geometry to one V(1), one V(6), one V(7), two equivalent V(3), two equivalent V(5), one Fe(3), two equivalent Fe(2), one Ga(3), one Ga(4), and two equivalent Ga(2) atoms. In the fourth V site, V(4) is bonded in a 14-coordinate geometry to two equivalent V(6), four equivalent V(2), one Fe(1), one Fe(2), two equivalent Fe(3), two equivalent Ga(1), and two equivalent Ga(3) atoms. In the fifth V site, V(5) is bonded in a 6-coordinate geometry to two equivalent V(1), two equivalent V(7), four equivalent V(3), one Fe(1), one Fe(2), two equivalent Ga(2), and two equivalent Ga(4) atoms. In the sixth V site, V(6) is bonded in a 2-coordinate geometry to two equivalent V(2), two equivalent V(3), two equivalent V(4), two equivalent Fe(3), one Ga(1), one Ga(2), and two equivalent Ga(3) atoms. In the seventh V site, V(7) is bonded in a 14-coordinate geometry to two equivalent V(1), two equivalent V(2), two equivalent V(3), two equivalent V(5), two equivalent Fe(1), one Ga(1), one Ga(2), and two equivalent Ga(4) atoms. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a distorted linear geometry to one V(4), one V(5), two equivalent V(1), two equivalent V(7), four equivalent V(2), two equivalent Ga(1), and two equivalent Ga(4) atoms. In the second Fe site, Fe(2) is bonded in a distorted linear geometry to one V(4), one V(5), four equivalent V(3), two equivalent Ga(2), and two equivalent Ga(3) atoms. In the third Fe site, Fe(3) is bonded in a distorted linear geometry to two equivalent V(2), two equivalent V(3), two equivalent V(4), two equivalent V(6), one Ga(1), one Ga(2), and two equivalent Ga(3) atoms. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one V(1), one V(6), one V(7), two equivalent V(4), four equivalent V(2), one Fe(3), and two equivalent Fe(1) atoms to form GaV9Fe3 cuboctahedra that share edges with two equivalent Ga(2)V9Fe3 cuboctahedra, edges with four equivalent Ga(1)V9Fe3 cuboctahedra, faces with four equivalent Ga(4)V10Fe2 cuboctahedra, and faces with four equivalent Ga(3)V8Fe4 cuboctahedra. In the second Ga site, Ga(2) is bonded to one V(1), one V(6), one V(7), two equivalent V(5), four equivalent V(3), one Fe(3), and two equivalent Fe(2) atoms to form GaV9Fe3 cuboctahedra that share edges with two equivalent Ga(1)V9Fe3 cuboctahedra, edges with four equivalent Ga(2)V9Fe3 cuboctahedra, faces with four equivalent Ga(4)V10Fe2 cuboctahedra, and faces with four equivalent Ga(3)V8Fe4 cuboctahedra. In the third Ga site, Ga(3) is bonded to two equivalent V(2), two equivalent V(3), two equivalent V(4), two equivalent V(6), two equivalent Fe(2), and two equivalent Fe(3) atoms to form GaV8Fe4 cuboctahedra that share edges with two equivalent Ga(4)V10Fe2 cuboctahedra, edges with four equivalent Ga(3)V8Fe4 cuboctahedra, faces with four equivalent Ga(1)V9Fe3 cuboctahedra, and faces with four equivalent Ga(2)V9Fe3 cuboctahedra. In the fourth Ga site, Ga(4) is bonded to two equivalent V(1), two equivalent V(2), two equivalent V(3), two equivalent V(5), two equivalent V(7), and two equivalent Fe(1) atoms to form GaV10Fe2 cuboctahedra that share edges with two equivalent Ga(3)V8Fe4 cuboctahedra, edges with four equivalent Ga(4)V10Fe2 cuboctahedra, faces with four equivalent Ga(1)V9Fe3 cuboctahedra, and faces with four equivalent Ga(2)V9Fe3 cuboctahedra. is represented by the CIF card [CIF]
data_V9Ga4Fe3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.660
_cell_length_b   4.698
_cell_length_c   9.480
_cell_angle_alpha   89.989
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   207.519
_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
  V  V0  1  0.500  0.748  0.501  1.0
  V  V1  1  0.751  0.003  0.248  1.0
  V  V2  1  0.753  0.999  0.751  1.0
  V  V3  1  0.000  0.499  0.123  1.0
  V  V4  1  0.000  0.498  0.624  1.0
  V  V5  1  0.500  0.259  0.001  1.0
  V  V6  1  0.500  0.248  0.501  1.0
  V  V7  1  0.249  0.003  0.248  1.0
  V  V8  1  0.247  0.999  0.751  1.0
  Ga  Ga9  1  0.500  0.502  0.251  1.0
  Ga  Ga10  1  0.500  0.501  0.751  1.0
  Ga  Ga11  1  0.000  0.995  1.000  1.0
  Ga  Ga12  1  0.000  0.998  0.499  1.0
  Fe  Fe13  1  0.000  0.497  0.373  1.0
  Fe  Fe14  1  0.000  0.498  0.877  1.0
  Fe  Fe15  1  0.500  0.752  0.002  1.0
[/CIF]
.