The structure described by KPm3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. K(1) is bonded to four equivalent Pm(2) and eight equivalent Pm(1) atoms to form KPm12 cuboctahedra that share corners with four equivalent K(1)Pm12 cuboctahedra, corners with eight equivalent Pm(2)K4Pm8 cuboctahedra, edges with eight equivalent K(1)Pm12 cuboctahedra, edges with sixteen equivalent Pm(1)K4Pm8 cuboctahedra, faces with four equivalent K(1)Pm12 cuboctahedra, faces with six equivalent Pm(2)K4Pm8 cuboctahedra, and faces with eight equivalent Pm(1)K4Pm8 cuboctahedra. There are two inequivalent Pm sites. In the first Pm site, Pm(1) is bonded to four equivalent K(1), four equivalent Pm(1), and four equivalent Pm(2) atoms to form PmK4Pm8 cuboctahedra that share corners with twelve equivalent Pm(1)K4Pm8 cuboctahedra, edges with eight equivalent K(1)Pm12 cuboctahedra, edges with eight equivalent Pm(1)K4Pm8 cuboctahedra, edges with eight equivalent Pm(2)K4Pm8 cuboctahedra, faces with four equivalent K(1)Pm12 cuboctahedra, faces with four equivalent Pm(2)K4Pm8 cuboctahedra, and faces with ten equivalent Pm(1)K4Pm8 cuboctahedra. In the second Pm site, Pm(2) is bonded to four equivalent K(1) and eight equivalent Pm(1) atoms to form distorted PmK4Pm8 cuboctahedra that share corners with four equivalent Pm(2)K4Pm8 cuboctahedra, corners with eight equivalent K(1)Pm12 cuboctahedra, edges with eight equivalent Pm(2)K4Pm8 cuboctahedra, edges with sixteen equivalent Pm(1)K4Pm8 cuboctahedra, faces with four equivalent Pm(2)K4Pm8 cuboctahedra, faces with six equivalent K(1)Pm12 cuboctahedra, and faces with eight equivalent Pm(1)K4Pm8 cuboctahedra. is represented by the CIF card [CIF]
data_KPm3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.640
_cell_length_b   6.640
_cell_length_c   6.640
_cell_angle_alpha   133.286
_cell_angle_beta   133.286
_cell_angle_gamma   68.205
_symmetry_Int_Tables_number   1
_cell_volume   152.425
_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
  K  K0  1  0.000  0.000  0.000  1.0
  Pm  Pm1  1  0.750  0.250  0.500  1.0
  Pm  Pm2  1  0.250  0.750  0.500  1.0
  Pm  Pm3  1  0.500  0.500  0.000  1.0
[/CIF]
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The structure described by KPm3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. K(1) is bonded to four equivalent Pm(2) and eight equivalent Pm(1) atoms to form KPm12 cuboctahedra that share corners with four equivalent K(1)Pm12 cuboctahedra, corners with eight equivalent Pm(2)K4Pm8 cuboctahedra, edges with eight equivalent K(1)Pm12 cuboctahedra, edges with sixteen equivalent Pm(1)K4Pm8 cuboctahedra, faces with four equivalent K(1)Pm12 cuboctahedra, faces with six equivalent Pm(2)K4Pm8 cuboctahedra, and faces with eight equivalent Pm(1)K4Pm8 cuboctahedra. There are two inequivalent Pm sites. In the first Pm site, Pm(1) is bonded to four equivalent K(1), four equivalent Pm(1), and four equivalent Pm(2) atoms to form PmK4Pm8 cuboctahedra that share corners with twelve equivalent Pm(1)K4Pm8 cuboctahedra, edges with eight equivalent K(1)Pm12 cuboctahedra, edges with eight equivalent Pm(1)K4Pm8 cuboctahedra, edges with eight equivalent Pm(2)K4Pm8 cuboctahedra, faces with four equivalent K(1)Pm12 cuboctahedra, faces with four equivalent Pm(2)K4Pm8 cuboctahedra, and faces with ten equivalent Pm(1)K4Pm8 cuboctahedra. In the second Pm site, Pm(2) is bonded to four equivalent K(1) and eight equivalent Pm(1) atoms to form distorted PmK4Pm8 cuboctahedra that share corners with four equivalent Pm(2)K4Pm8 cuboctahedra, corners with eight equivalent K(1)Pm12 cuboctahedra, edges with eight equivalent Pm(2)K4Pm8 cuboctahedra, edges with sixteen equivalent Pm(1)K4Pm8 cuboctahedra, faces with four equivalent Pm(2)K4Pm8 cuboctahedra, faces with six equivalent K(1)Pm12 cuboctahedra, and faces with eight equivalent Pm(1)K4Pm8 cuboctahedra. is represented by the CIF card [CIF]
data_KPm3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.640
_cell_length_b   6.640
_cell_length_c   6.640
_cell_angle_alpha   133.286
_cell_angle_beta   133.286
_cell_angle_gamma   68.205
_symmetry_Int_Tables_number   1
_cell_volume   152.425
_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
  K  K0  1  0.000  0.000  0.000  1.0
  Pm  Pm1  1  0.750  0.250  0.500  1.0
  Pm  Pm2  1  0.250  0.750  0.500  1.0
  Pm  Pm3  1  0.500  0.500  0.000  1.0
[/CIF]
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