The structure described by K(Zr3Te4)4 crystallizes in the triclinic P-1 space group. K(1) is bonded in a distorted hexagonal planar geometry to two equivalent Te(2), two equivalent Te(4), and two equivalent Te(5) atoms. There are six inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one Te(1), one Te(6), one Te(7), one Te(8), and two equivalent Te(2) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-52°. In the second Zr site, Zr(2) is bonded to one Te(2), one Te(5), one Te(7), one Te(8), and two equivalent Te(1) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. In the third Zr site, Zr(3) is bonded to one Te(2), one Te(3), one Te(7), one Te(8), and two equivalent Te(4) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. In the fourth Zr site, Zr(4) is bonded to one Te(1), one Te(4), one Te(7), one Te(8), and two equivalent Te(3) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the fifth Zr site, Zr(5) is bonded to one Te(4), one Te(5), one Te(7), one Te(8), and two equivalent Te(6) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the sixth Zr site, Zr(6) is bonded to one Te(3), one Te(6), one Te(7), one Te(8), and two equivalent Te(5) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. There are eight inequivalent Te sites. In the first Te site, Te(1) is bonded in a distorted rectangular see-saw-like geometry to one Zr(1), one Zr(4), and two equivalent Zr(2) atoms. In the second Te site, Te(2) is bonded to one K(1), one Zr(2), one Zr(3), and two equivalent Zr(1) atoms to form distorted TeKZr4 trigonal bipyramids that share corners with two equivalent Te(8)Zr6 pentagonal pyramids,  a cornercorner with one Te(2)KZr4 trigonal bipyramid,  a cornercorner with one Te(5)KZr4 trigonal bipyramid, corners with two equivalent Te(4)KZr4 trigonal bipyramids,  an edgeedge with one Te(8)Zr6 pentagonal pyramid, edges with two equivalent Te(7)Zr6 pentagonal pyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid,  an edgeedge with one Te(4)KZr4 trigonal bipyramid, and  an edgeedge with one Te(5)KZr4 trigonal bipyramid. In the third Te site, Te(3) is bonded in a distorted rectangular see-saw-like geometry to one Zr(3), one Zr(6), and two equivalent Zr(4) atoms. In the fourth Te site, Te(4) is bonded to one K(1), one Zr(4), one Zr(5), and two equivalent Zr(3) atoms to form distorted TeKZr4 trigonal bipyramids that share corners with two equivalent Te(7)Zr6 pentagonal pyramids,  a cornercorner with one Te(4)KZr4 trigonal bipyramid,  a cornercorner with one Te(5)KZr4 trigonal bipyramid, corners with two equivalent Te(2)KZr4 trigonal bipyramids,  an edgeedge with one Te(7)Zr6 pentagonal pyramid, edges with two equivalent Te(8)Zr6 pentagonal pyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid,  an edgeedge with one Te(4)KZr4 trigonal bipyramid, and  an edgeedge with one Te(5)KZr4 trigonal bipyramid. In the fifth Te site, Te(5) is bonded to one K(1), one Zr(2), one Zr(5), and two equivalent Zr(6) atoms to form distorted TeKZr4 trigonal bipyramids that share corners with two equivalent Te(7)Zr6 pentagonal pyramids,  a cornercorner with one Te(2)KZr4 trigonal bipyramid,  a cornercorner with one Te(4)KZr4 trigonal bipyramid,  a cornercorner with one Te(5)KZr4 trigonal bipyramid,  an edgeedge with one Te(7)Zr6 pentagonal pyramid, edges with two equivalent Te(8)Zr6 pentagonal pyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid,  an edgeedge with one Te(4)KZr4 trigonal bipyramid, and  an edgeedge with one Te(5)KZr4 trigonal bipyramid. In the sixth Te site, Te(6) is bonded in a distorted rectangular see-saw-like geometry to one Zr(1), one Zr(6), and two equivalent Zr(5) atoms. In the seventh Te site, Te(7) is bonded to one Zr(1), one Zr(2), one Zr(3), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted TeZr6 pentagonal pyramids that share corners with two equivalent Te(4)KZr4 trigonal bipyramids, corners with two equivalent Te(5)KZr4 trigonal bipyramids,  an edgeedge with one Te(4)KZr4 trigonal bipyramid,  an edgeedge with one Te(5)KZr4 trigonal bipyramid, edges with two equivalent Te(2)KZr4 trigonal bipyramids, and faces with two equivalent Te(8)Zr6 pentagonal pyramids. In the eighth Te site, Te(8) is bonded to one Zr(1), one Zr(2), one Zr(3), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted TeZr6 pentagonal pyramids that share corners with two equivalent Te(2)KZr4 trigonal bipyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid, edges with two equivalent Te(4)KZr4 trigonal bipyramids, edges with two equivalent Te(5)KZr4 trigonal bipyramids, and faces with two equivalent Te(7)Zr6 pentagonal pyramids. is represented by the CIF file [CIF]
data_K(Zr3Te4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.975
_cell_length_b   11.128
_cell_length_c   11.827
_cell_angle_alpha   118.099
_cell_angle_beta   109.699
_cell_angle_gamma   89.988
_symmetry_Int_Tables_number   1
_cell_volume   855.676
_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  0.500  0.000  0.000  1.0
  Zr  Zr1  1  0.123  0.127  0.492  1.0
  Zr  Zr2  1  0.620  0.126  0.492  1.0
  Zr  Zr3  1  0.312  0.366  0.874  1.0
  Zr  Zr4  1  0.812  0.365  0.873  1.0
  Zr  Zr5  1  0.191  0.508  0.634  1.0
  Zr  Zr6  1  0.694  0.508  0.635  1.0
  Zr  Zr7  1  0.380  0.874  0.508  1.0
  Zr  Zr8  1  0.877  0.873  0.508  1.0
  Zr  Zr9  1  0.188  0.635  0.127  1.0
  Zr  Zr10  1  0.688  0.634  0.126  1.0
  Zr  Zr11  1  0.306  0.492  0.365  1.0
  Zr  Zr12  1  0.809  0.492  0.366  1.0
  Te  Te13  1  0.730  0.053  0.708  1.0
  Te  Te14  1  0.228  0.053  0.707  1.0
  Te  Te15  1  0.849  0.655  0.947  1.0
  Te  Te16  1  0.348  0.655  0.947  1.0
  Te  Te17  1  0.547  0.293  0.346  1.0
  Te  Te18  1  0.047  0.292  0.345  1.0
  Te  Te19  1  0.772  0.947  0.293  1.0
  Te  Te20  1  0.270  0.947  0.292  1.0
  Te  Te21  1  0.652  0.345  0.053  1.0
  Te  Te22  1  0.151  0.345  0.053  1.0
  Te  Te23  1  0.953  0.708  0.655  1.0
  Te  Te24  1  0.453  0.707  0.654  1.0
  Te  Te25  1  0.959  0.333  0.666  1.0
  Te  Te26  1  0.459  0.334  0.667  1.0
  Te  Te27  1  0.541  0.666  0.333  1.0
  Te  Te28  1  0.041  0.667  0.334  1.0
[/CIF]
.
The structure described by K(Zr3Te4)4 crystallizes in the triclinic P-1 space group. K(1) is bonded in a distorted hexagonal planar geometry to two equivalent Te(2), two equivalent Te(4), and two equivalent Te(5) atoms. There are six inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one Te(1), one Te(6), one Te(7), one Te(8), and two equivalent Te(2) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-52°. In the second Zr site, Zr(2) is bonded to one Te(2), one Te(5), one Te(7), one Te(8), and two equivalent Te(1) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. In the third Zr site, Zr(3) is bonded to one Te(2), one Te(3), one Te(7), one Te(8), and two equivalent Te(4) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. In the fourth Zr site, Zr(4) is bonded to one Te(1), one Te(4), one Te(7), one Te(8), and two equivalent Te(3) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the fifth Zr site, Zr(5) is bonded to one Te(4), one Te(5), one Te(7), one Te(8), and two equivalent Te(6) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the sixth Zr site, Zr(6) is bonded to one Te(3), one Te(6), one Te(7), one Te(8), and two equivalent Te(5) atoms to form a mixture of corner, edge, and face-sharing ZrTe6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. There are eight inequivalent Te sites. In the first Te site, Te(1) is bonded in a distorted rectangular see-saw-like geometry to one Zr(1), one Zr(4), and two equivalent Zr(2) atoms. In the second Te site, Te(2) is bonded to one K(1), one Zr(2), one Zr(3), and two equivalent Zr(1) atoms to form distorted TeKZr4 trigonal bipyramids that share corners with two equivalent Te(8)Zr6 pentagonal pyramids,  a cornercorner with one Te(2)KZr4 trigonal bipyramid,  a cornercorner with one Te(5)KZr4 trigonal bipyramid, corners with two equivalent Te(4)KZr4 trigonal bipyramids,  an edgeedge with one Te(8)Zr6 pentagonal pyramid, edges with two equivalent Te(7)Zr6 pentagonal pyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid,  an edgeedge with one Te(4)KZr4 trigonal bipyramid, and  an edgeedge with one Te(5)KZr4 trigonal bipyramid. In the third Te site, Te(3) is bonded in a distorted rectangular see-saw-like geometry to one Zr(3), one Zr(6), and two equivalent Zr(4) atoms. In the fourth Te site, Te(4) is bonded to one K(1), one Zr(4), one Zr(5), and two equivalent Zr(3) atoms to form distorted TeKZr4 trigonal bipyramids that share corners with two equivalent Te(7)Zr6 pentagonal pyramids,  a cornercorner with one Te(4)KZr4 trigonal bipyramid,  a cornercorner with one Te(5)KZr4 trigonal bipyramid, corners with two equivalent Te(2)KZr4 trigonal bipyramids,  an edgeedge with one Te(7)Zr6 pentagonal pyramid, edges with two equivalent Te(8)Zr6 pentagonal pyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid,  an edgeedge with one Te(4)KZr4 trigonal bipyramid, and  an edgeedge with one Te(5)KZr4 trigonal bipyramid. In the fifth Te site, Te(5) is bonded to one K(1), one Zr(2), one Zr(5), and two equivalent Zr(6) atoms to form distorted TeKZr4 trigonal bipyramids that share corners with two equivalent Te(7)Zr6 pentagonal pyramids,  a cornercorner with one Te(2)KZr4 trigonal bipyramid,  a cornercorner with one Te(4)KZr4 trigonal bipyramid,  a cornercorner with one Te(5)KZr4 trigonal bipyramid,  an edgeedge with one Te(7)Zr6 pentagonal pyramid, edges with two equivalent Te(8)Zr6 pentagonal pyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid,  an edgeedge with one Te(4)KZr4 trigonal bipyramid, and  an edgeedge with one Te(5)KZr4 trigonal bipyramid. In the sixth Te site, Te(6) is bonded in a distorted rectangular see-saw-like geometry to one Zr(1), one Zr(6), and two equivalent Zr(5) atoms. In the seventh Te site, Te(7) is bonded to one Zr(1), one Zr(2), one Zr(3), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted TeZr6 pentagonal pyramids that share corners with two equivalent Te(4)KZr4 trigonal bipyramids, corners with two equivalent Te(5)KZr4 trigonal bipyramids,  an edgeedge with one Te(4)KZr4 trigonal bipyramid,  an edgeedge with one Te(5)KZr4 trigonal bipyramid, edges with two equivalent Te(2)KZr4 trigonal bipyramids, and faces with two equivalent Te(8)Zr6 pentagonal pyramids. In the eighth Te site, Te(8) is bonded to one Zr(1), one Zr(2), one Zr(3), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted TeZr6 pentagonal pyramids that share corners with two equivalent Te(2)KZr4 trigonal bipyramids,  an edgeedge with one Te(2)KZr4 trigonal bipyramid, edges with two equivalent Te(4)KZr4 trigonal bipyramids, edges with two equivalent Te(5)KZr4 trigonal bipyramids, and faces with two equivalent Te(7)Zr6 pentagonal pyramids. is represented by the CIF file [CIF]
data_K(Zr3Te4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.975
_cell_length_b   11.128
_cell_length_c   11.827
_cell_angle_alpha   118.099
_cell_angle_beta   109.699
_cell_angle_gamma   89.988
_symmetry_Int_Tables_number   1
_cell_volume   855.676
_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  0.500  0.000  0.000  1.0
  Zr  Zr1  1  0.123  0.127  0.492  1.0
  Zr  Zr2  1  0.620  0.126  0.492  1.0
  Zr  Zr3  1  0.312  0.366  0.874  1.0
  Zr  Zr4  1  0.812  0.365  0.873  1.0
  Zr  Zr5  1  0.191  0.508  0.634  1.0
  Zr  Zr6  1  0.694  0.508  0.635  1.0
  Zr  Zr7  1  0.380  0.874  0.508  1.0
  Zr  Zr8  1  0.877  0.873  0.508  1.0
  Zr  Zr9  1  0.188  0.635  0.127  1.0
  Zr  Zr10  1  0.688  0.634  0.126  1.0
  Zr  Zr11  1  0.306  0.492  0.365  1.0
  Zr  Zr12  1  0.809  0.492  0.366  1.0
  Te  Te13  1  0.730  0.053  0.708  1.0
  Te  Te14  1  0.228  0.053  0.707  1.0
  Te  Te15  1  0.849  0.655  0.947  1.0
  Te  Te16  1  0.348  0.655  0.947  1.0
  Te  Te17  1  0.547  0.293  0.346  1.0
  Te  Te18  1  0.047  0.292  0.345  1.0
  Te  Te19  1  0.772  0.947  0.293  1.0
  Te  Te20  1  0.270  0.947  0.292  1.0
  Te  Te21  1  0.652  0.345  0.053  1.0
  Te  Te22  1  0.151  0.345  0.053  1.0
  Te  Te23  1  0.953  0.708  0.655  1.0
  Te  Te24  1  0.453  0.707  0.654  1.0
  Te  Te25  1  0.959  0.333  0.666  1.0
  Te  Te26  1  0.459  0.334  0.667  1.0
  Te  Te27  1  0.541  0.666  0.333  1.0
  Te  Te28  1  0.041  0.667  0.334  1.0
[/CIF]
.