The crystal structure described by SrV13O18 crystallizes in the trigonal R-3 space group. Sr(1) is bonded to six equivalent O(1) and six equivalent O(2) atoms to form SrO12 cuboctahedra that share corners with six equivalent V(2)O6 octahedra, corners with eighteen equivalent V(3)O6 octahedra, faces with two equivalent V(1)O6 octahedra, and faces with six equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-50°. There are three inequivalent V sites. In the first V site, V(1) is bonded to six equivalent O(1) atoms to form VO6 octahedra that share corners with six equivalent V(2)O6 octahedra, edges with six equivalent V(3)O6 octahedra, and faces with two equivalent Sr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 12°. In the second V site, V(2) is bonded to one O(1), two equivalent O(3), and three equivalent O(2) atoms to form VO6 octahedra that share  a cornercorner with one Sr(1)O12 cuboctahedra,  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, edges with three equivalent V(2)O6 octahedra, edges with five equivalent V(3)O6 octahedra, and  a faceface with one Sr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third V site, V(3) is bonded to one O(2), two equivalent O(1), and three equivalent O(3) atoms to form VO6 octahedra that share corners with three equivalent Sr(1)O12 cuboctahedra,  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, edges with three equivalent V(3)O6 octahedra, and edges with five equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Sr(1), one V(1), one V(2), and two equivalent V(3) atoms. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Sr(1), one V(3), and three equivalent V(2) atoms. In the third O site, O(3) is bonded to two equivalent V(2) and three equivalent V(3) atoms to form a mixture of corner and edge-sharing OV5 square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_SrV13O18
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.995
_cell_length_b   7.995
_cell_length_c   7.995
_cell_angle_alpha   110.691
_cell_angle_beta   110.691
_cell_angle_gamma   110.691
_symmetry_Int_Tables_number   1
_cell_volume   374.546
_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
  Sr  Sr0  1  0.000  0.000  0.000  1.0
  V  V1  1  0.500  0.500  0.500  1.0
  V  V2  1  0.928  0.121  0.436  1.0
  V  V3  1  0.436  0.928  0.121  1.0
  V  V4  1  0.121  0.436  0.928  1.0
  V  V5  1  0.072  0.879  0.564  1.0
  V  V6  1  0.564  0.072  0.879  1.0
  V  V7  1  0.879  0.564  0.072  1.0
  V  V8  1  0.399  0.342  0.767  1.0
  V  V9  1  0.767  0.399  0.342  1.0
  V  V10  1  0.342  0.767  0.399  1.0
  V  V11  1  0.601  0.658  0.233  1.0
  V  V12  1  0.233  0.601  0.658  1.0
  V  V13  1  0.658  0.233  0.601  1.0
  O  O14  1  0.497  0.773  0.669  1.0
  O  O15  1  0.669  0.497  0.773  1.0
  O  O16  1  0.773  0.669  0.497  1.0
  O  O17  1  0.503  0.227  0.331  1.0
  O  O18  1  0.331  0.503  0.227  1.0
  O  O19  1  0.227  0.331  0.503  1.0
  O  O20  1  0.122  0.173  0.739  1.0
  O  O21  1  0.739  0.122  0.173  1.0
  O  O22  1  0.173  0.739  0.122  1.0
  O  O23  1  0.878  0.827  0.261  1.0
  O  O24  1  0.261  0.878  0.827  1.0
  O  O25  1  0.827  0.261  0.878  1.0
  O  O26  1  0.383  0.052  0.597  1.0
  O  O27  1  0.597  0.383  0.052  1.0
  O  O28  1  0.052  0.597  0.383  1.0
  O  O29  1  0.617  0.948  0.403  1.0
  O  O30  1  0.403  0.617  0.948  1.0
  O  O31  1  0.948  0.403  0.617  1.0
[/CIF]
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The crystal structure described by SrV13O18 crystallizes in the trigonal R-3 space group. Sr(1) is bonded to six equivalent O(1) and six equivalent O(2) atoms to form SrO12 cuboctahedra that share corners with six equivalent V(2)O6 octahedra, corners with eighteen equivalent V(3)O6 octahedra, faces with two equivalent V(1)O6 octahedra, and faces with six equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-50°. There are three inequivalent V sites. In the first V site, V(1) is bonded to six equivalent O(1) atoms to form VO6 octahedra that share corners with six equivalent V(2)O6 octahedra, edges with six equivalent V(3)O6 octahedra, and faces with two equivalent Sr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 12°. In the second V site, V(2) is bonded to one O(1), two equivalent O(3), and three equivalent O(2) atoms to form VO6 octahedra that share  a cornercorner with one Sr(1)O12 cuboctahedra,  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, edges with three equivalent V(2)O6 octahedra, edges with five equivalent V(3)O6 octahedra, and  a faceface with one Sr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the third V site, V(3) is bonded to one O(2), two equivalent O(1), and three equivalent O(3) atoms to form VO6 octahedra that share corners with three equivalent Sr(1)O12 cuboctahedra,  a cornercorner with one V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, edges with three equivalent V(3)O6 octahedra, and edges with five equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Sr(1), one V(1), one V(2), and two equivalent V(3) atoms. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Sr(1), one V(3), and three equivalent V(2) atoms. In the third O site, O(3) is bonded to two equivalent V(2) and three equivalent V(3) atoms to form a mixture of corner and edge-sharing OV5 square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_SrV13O18
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.995
_cell_length_b   7.995
_cell_length_c   7.995
_cell_angle_alpha   110.691
_cell_angle_beta   110.691
_cell_angle_gamma   110.691
_symmetry_Int_Tables_number   1
_cell_volume   374.546
_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
  Sr  Sr0  1  0.000  0.000  0.000  1.0
  V  V1  1  0.500  0.500  0.500  1.0
  V  V2  1  0.928  0.121  0.436  1.0
  V  V3  1  0.436  0.928  0.121  1.0
  V  V4  1  0.121  0.436  0.928  1.0
  V  V5  1  0.072  0.879  0.564  1.0
  V  V6  1  0.564  0.072  0.879  1.0
  V  V7  1  0.879  0.564  0.072  1.0
  V  V8  1  0.399  0.342  0.767  1.0
  V  V9  1  0.767  0.399  0.342  1.0
  V  V10  1  0.342  0.767  0.399  1.0
  V  V11  1  0.601  0.658  0.233  1.0
  V  V12  1  0.233  0.601  0.658  1.0
  V  V13  1  0.658  0.233  0.601  1.0
  O  O14  1  0.497  0.773  0.669  1.0
  O  O15  1  0.669  0.497  0.773  1.0
  O  O16  1  0.773  0.669  0.497  1.0
  O  O17  1  0.503  0.227  0.331  1.0
  O  O18  1  0.331  0.503  0.227  1.0
  O  O19  1  0.227  0.331  0.503  1.0
  O  O20  1  0.122  0.173  0.739  1.0
  O  O21  1  0.739  0.122  0.173  1.0
  O  O22  1  0.173  0.739  0.122  1.0
  O  O23  1  0.878  0.827  0.261  1.0
  O  O24  1  0.261  0.878  0.827  1.0
  O  O25  1  0.827  0.261  0.878  1.0
  O  O26  1  0.383  0.052  0.597  1.0
  O  O27  1  0.597  0.383  0.052  1.0
  O  O28  1  0.052  0.597  0.383  1.0
  O  O29  1  0.617  0.948  0.403  1.0
  O  O30  1  0.403  0.617  0.948  1.0
  O  O31  1  0.948  0.403  0.617  1.0
[/CIF]
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