The compound described by V2WCo9 is beta Cu3Ti-derived structured and crystallizes in the trigonal R3m space group. There are two inequivalent V sites. In the first V site, V(1) is bonded to three Co(2,2); three equivalent Co(3); and six equivalent Co(1) atoms to form VCo12 cuboctahedra that share corners with three equivalent W(1)Co12 cuboctahedra; corners with six equivalent V(1)Co12 cuboctahedra; corners with six equivalent Co(3)V3Co8W cuboctahedra; edges with six equivalent Co(1)V3Co8W cuboctahedra; edges with six equivalent Co(3)V3Co8W cuboctahedra; edges with nine Co(2,2)V2Co8W2 cuboctahedra; faces with three equivalent W(1)Co12 cuboctahedra; faces with three Co(2,2)V2Co8W2 cuboctahedra; faces with three equivalent Co(3)V3Co8W cuboctahedra; faces with four equivalent V(2)Co12 cuboctahedra; and faces with six equivalent Co(1)V3Co8W cuboctahedra. In the second V site, V(2) is bonded to three Co(1,1); three Co(2,2); and six equivalent Co(3) atoms to form VCo12 cuboctahedra that share corners with six equivalent V(2)Co12 cuboctahedra; corners with six equivalent Co(2)V2Co8W2 cuboctahedra; corners with six equivalent Co(1)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra; edges with six Co(1,1)V3Co8W cuboctahedra; edges with six equivalent Co(3)V3Co8W cuboctahedra; faces with three Co(2,2)V2Co8W2 cuboctahedra; faces with three Co(1,1)V3Co8W cuboctahedra; faces with four equivalent V(1)Co12 cuboctahedra; faces with four equivalent W(1)Co12 cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. W(1) is bonded to three equivalent Co(1); three equivalent Co(3); and six Co(2,2) atoms to form WCo12 cuboctahedra that share corners with three equivalent V(1)Co12 cuboctahedra; corners with six equivalent W(1)Co12 cuboctahedra; corners with six equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra; edges with six equivalent Co(3)V3Co8W cuboctahedra; edges with nine Co(1,1)V3Co8W cuboctahedra; faces with three equivalent V(1)Co12 cuboctahedra; faces with three equivalent Co(1)V3Co8W cuboctahedra; faces with three equivalent Co(3)V3Co8W cuboctahedra; faces with four equivalent V(2)Co12 cuboctahedra; and faces with six Co(2,2)V2Co8W2 cuboctahedra. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one V(2); two equivalent V(1); one W(1); two Co(2,2); two equivalent Co(3); and four equivalent Co(1) atoms to form distorted CoV3Co8W cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(2)V2Co8W2 cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(1)V3Co8W cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with three equivalent W(1)Co12 cuboctahedra; edges with four equivalent Co(1)V3Co8W cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one W(1)Co12 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(1)V3Co8W cuboctahedra; faces with five Co(2,2)V2Co8W2 cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. In the second Co site, Co(2) is bonded to one V(1); one V(2); two equivalent W(1); two equivalent Co(1); two equivalent Co(3); and four Co(2,2) atoms to form distorted CoV2Co8W2 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)V3Co8W cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(2)V2Co8W2 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two equivalent W(1)Co12 cuboctahedra; edges with three equivalent V(1)Co12 cuboctahedra; edges with four Co(2,2)V2Co8W2 cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(1,1)V3Co8W cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with two equivalent W(1)Co12 cuboctahedra; faces with four Co(2,2)V2Co8W2 cuboctahedra; faces with five equivalent Co(1)V3Co8W cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. In the third Co site, Co(2) is bonded to one V(1), one V(2), two equivalent W(1), two equivalent Co(1), two equivalent Co(3), and four equivalent Co(2) atoms to form distorted CoV2Co8W2 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)V3Co8W cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(2)V2Co8W2 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two equivalent W(1)Co12 cuboctahedra; edges with three equivalent V(1)Co12 cuboctahedra; edges with four equivalent Co(2)V2Co8W2 cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(1,1)V3Co8W cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with two equivalent W(1)Co12 cuboctahedra; faces with four equivalent Co(2)V2Co8W2 cuboctahedra; faces with five equivalent Co(1)V3Co8W cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. In the fourth Co site, Co(3) is bonded to one V(1), two equivalent V(2), one W(1), two equivalent Co(1), two equivalent Co(2), and four equivalent Co(3) atoms to form distorted CoV3Co8W cuboctahedra that share corners with two equivalent V(1)Co12 cuboctahedra; corners with two equivalent W(1)Co12 cuboctahedra; corners with four Co(2,2)V2Co8W2 cuboctahedra; corners with four Co(1,1)V3Co8W cuboctahedra; corners with six equivalent Co(3)V3Co8W cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two equivalent W(1)Co12 cuboctahedra; edges with four equivalent Co(2)V2Co8W2 cuboctahedra; edges with four equivalent Co(1)V3Co8W cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one W(1)Co12 cuboctahedra; faces with two equivalent V(2)Co12 cuboctahedra; faces with four equivalent Co(3)V3Co8W cuboctahedra; faces with six Co(2,2)V2Co8W2 cuboctahedra; and faces with six equivalent Co(1)V3Co8W cuboctahedra. In the fifth Co site, Co(1) is bonded to one V(2); two equivalent V(1); one W(1); two Co(2,2); two equivalent Co(3); and four equivalent Co(1) atoms to form distorted CoV3Co8W cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(2)V2Co8W2 cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(1)V3Co8W cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with three equivalent W(1)Co12 cuboctahedra; edges with four equivalent Co(1)V3Co8W cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one W(1)Co12 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(1)V3Co8W cuboctahedra; faces with five Co(2,2)V2Co8W2 cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_V2Co9W
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.737
_cell_length_b   6.737
_cell_length_c   6.737
_cell_angle_alpha   43.694
_cell_angle_beta   43.694
_cell_angle_gamma   43.694
_symmetry_Int_Tables_number   1
_cell_volume   132.475
_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  0.782  0.782  0.782  1.0
  V  V1  1  1.000  1.000  1.000  1.0
  Co  Co2  1  0.282  0.766  0.282  1.0
  Co  Co3  1  0.766  0.282  0.282  1.0
  Co  Co4  1  0.282  0.282  0.766  1.0
  Co  Co5  1  0.718  0.231  0.718  1.0
  Co  Co6  1  0.231  0.718  0.718  1.0
  Co  Co7  1  0.718  0.718  0.231  1.0
  Co  Co8  1  0.997  0.502  0.502  1.0
  Co  Co9  1  0.502  0.502  0.997  1.0
  Co  Co10  1  0.502  0.997  0.502  1.0
  W  W11  1  0.219  0.219  0.219  1.0
[/CIF]
.
The compound described by V2WCo9 is beta Cu3Ti-derived structured and crystallizes in the trigonal R3m space group. There are two inequivalent V sites. In the first V site, V(1) is bonded to three Co(2,2); three equivalent Co(3); and six equivalent Co(1) atoms to form VCo12 cuboctahedra that share corners with three equivalent W(1)Co12 cuboctahedra; corners with six equivalent V(1)Co12 cuboctahedra; corners with six equivalent Co(3)V3Co8W cuboctahedra; edges with six equivalent Co(1)V3Co8W cuboctahedra; edges with six equivalent Co(3)V3Co8W cuboctahedra; edges with nine Co(2,2)V2Co8W2 cuboctahedra; faces with three equivalent W(1)Co12 cuboctahedra; faces with three Co(2,2)V2Co8W2 cuboctahedra; faces with three equivalent Co(3)V3Co8W cuboctahedra; faces with four equivalent V(2)Co12 cuboctahedra; and faces with six equivalent Co(1)V3Co8W cuboctahedra. In the second V site, V(2) is bonded to three Co(1,1); three Co(2,2); and six equivalent Co(3) atoms to form VCo12 cuboctahedra that share corners with six equivalent V(2)Co12 cuboctahedra; corners with six equivalent Co(2)V2Co8W2 cuboctahedra; corners with six equivalent Co(1)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra; edges with six Co(1,1)V3Co8W cuboctahedra; edges with six equivalent Co(3)V3Co8W cuboctahedra; faces with three Co(2,2)V2Co8W2 cuboctahedra; faces with three Co(1,1)V3Co8W cuboctahedra; faces with four equivalent V(1)Co12 cuboctahedra; faces with four equivalent W(1)Co12 cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. W(1) is bonded to three equivalent Co(1); three equivalent Co(3); and six Co(2,2) atoms to form WCo12 cuboctahedra that share corners with three equivalent V(1)Co12 cuboctahedra; corners with six equivalent W(1)Co12 cuboctahedra; corners with six equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra; edges with six equivalent Co(3)V3Co8W cuboctahedra; edges with nine Co(1,1)V3Co8W cuboctahedra; faces with three equivalent V(1)Co12 cuboctahedra; faces with three equivalent Co(1)V3Co8W cuboctahedra; faces with three equivalent Co(3)V3Co8W cuboctahedra; faces with four equivalent V(2)Co12 cuboctahedra; and faces with six Co(2,2)V2Co8W2 cuboctahedra. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one V(2); two equivalent V(1); one W(1); two Co(2,2); two equivalent Co(3); and four equivalent Co(1) atoms to form distorted CoV3Co8W cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(2)V2Co8W2 cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(1)V3Co8W cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with three equivalent W(1)Co12 cuboctahedra; edges with four equivalent Co(1)V3Co8W cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one W(1)Co12 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(1)V3Co8W cuboctahedra; faces with five Co(2,2)V2Co8W2 cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. In the second Co site, Co(2) is bonded to one V(1); one V(2); two equivalent W(1); two equivalent Co(1); two equivalent Co(3); and four Co(2,2) atoms to form distorted CoV2Co8W2 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)V3Co8W cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(2)V2Co8W2 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two equivalent W(1)Co12 cuboctahedra; edges with three equivalent V(1)Co12 cuboctahedra; edges with four Co(2,2)V2Co8W2 cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(1,1)V3Co8W cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with two equivalent W(1)Co12 cuboctahedra; faces with four Co(2,2)V2Co8W2 cuboctahedra; faces with five equivalent Co(1)V3Co8W cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. In the third Co site, Co(2) is bonded to one V(1), one V(2), two equivalent W(1), two equivalent Co(1), two equivalent Co(3), and four equivalent Co(2) atoms to form distorted CoV2Co8W2 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)V3Co8W cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(2)V2Co8W2 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two equivalent W(1)Co12 cuboctahedra; edges with three equivalent V(1)Co12 cuboctahedra; edges with four equivalent Co(2)V2Co8W2 cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(1,1)V3Co8W cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with two equivalent W(1)Co12 cuboctahedra; faces with four equivalent Co(2)V2Co8W2 cuboctahedra; faces with five equivalent Co(1)V3Co8W cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. In the fourth Co site, Co(3) is bonded to one V(1), two equivalent V(2), one W(1), two equivalent Co(1), two equivalent Co(2), and four equivalent Co(3) atoms to form distorted CoV3Co8W cuboctahedra that share corners with two equivalent V(1)Co12 cuboctahedra; corners with two equivalent W(1)Co12 cuboctahedra; corners with four Co(2,2)V2Co8W2 cuboctahedra; corners with four Co(1,1)V3Co8W cuboctahedra; corners with six equivalent Co(3)V3Co8W cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two equivalent W(1)Co12 cuboctahedra; edges with four equivalent Co(2)V2Co8W2 cuboctahedra; edges with four equivalent Co(1)V3Co8W cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one W(1)Co12 cuboctahedra; faces with two equivalent V(2)Co12 cuboctahedra; faces with four equivalent Co(3)V3Co8W cuboctahedra; faces with six Co(2,2)V2Co8W2 cuboctahedra; and faces with six equivalent Co(1)V3Co8W cuboctahedra. In the fifth Co site, Co(1) is bonded to one V(2); two equivalent V(1); one W(1); two Co(2,2); two equivalent Co(3); and four equivalent Co(1) atoms to form distorted CoV3Co8W cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(2)V2Co8W2 cuboctahedra; corners with four equivalent Co(3)V3Co8W cuboctahedra; corners with six equivalent Co(1)V3Co8W cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with three equivalent W(1)Co12 cuboctahedra; edges with four equivalent Co(1)V3Co8W cuboctahedra; edges with four equivalent Co(3)V3Co8W cuboctahedra; edges with six Co(2,2)V2Co8W2 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one W(1)Co12 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(1)V3Co8W cuboctahedra; faces with five Co(2,2)V2Co8W2 cuboctahedra; and faces with six equivalent Co(3)V3Co8W cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_V2Co9W
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.737
_cell_length_b   6.737
_cell_length_c   6.737
_cell_angle_alpha   43.694
_cell_angle_beta   43.694
_cell_angle_gamma   43.694
_symmetry_Int_Tables_number   1
_cell_volume   132.475
_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  0.782  0.782  0.782  1.0
  V  V1  1  1.000  1.000  1.000  1.0
  Co  Co2  1  0.282  0.766  0.282  1.0
  Co  Co3  1  0.766  0.282  0.282  1.0
  Co  Co4  1  0.282  0.282  0.766  1.0
  Co  Co5  1  0.718  0.231  0.718  1.0
  Co  Co6  1  0.231  0.718  0.718  1.0
  Co  Co7  1  0.718  0.718  0.231  1.0
  Co  Co8  1  0.997  0.502  0.502  1.0
  Co  Co9  1  0.502  0.502  0.997  1.0
  Co  Co10  1  0.502  0.997  0.502  1.0
  W  W11  1  0.219  0.219  0.219  1.0
[/CIF]
.