The crystal structure described by BaZr5Pb4O15 crystallizes in the monoclinic Cm space group. Ba(1) is bonded to four equivalent O(10), four equivalent O(5), and four equivalent O(9) atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Zr(5)O6 octahedra. There are five inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(5), and four equivalent O(10) atoms to form ZrO6 octahedra that share  a cornercorner with one Zr(2)O6 octahedra,  a cornercorner with one Zr(5)O6 octahedra, corners with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-14°. In the second Zr site, Zr(2) is bonded to one O(1), one O(2), and four equivalent O(6) atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 13-15°. In the third Zr site, Zr(3) is bonded to one O(2), one O(3), and four equivalent O(7) atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 13-15°. In the fourth Zr site, Zr(4) is bonded to one O(3), one O(4), and four equivalent O(8) atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 13-15°. In the fifth Zr site, Zr(5) is bonded to one O(4), one O(5), and four equivalent O(9) atoms to form ZrO6 octahedra that share  a cornercorner with one Zr(1)O6 octahedra,  a cornercorner with one Zr(4)O6 octahedra, corners with four equivalent Zr(5)O6 octahedra, and faces with four equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-15°. There are four inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 3-coordinate geometry to one O(1) and two equivalent O(6) atoms. In the second Pb site, Pb(2) is bonded in a 3-coordinate geometry to one O(2) and two equivalent O(7) atoms. In the third Pb site, Pb(3) is bonded in a 3-coordinate geometry to one O(3) and two equivalent O(8) atoms. In the fourth Pb site, Pb(4) is bonded in a 3-coordinate geometry to one O(4) and two equivalent O(9) atoms. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Zr(1), one Zr(2), and one Pb(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Zr(2), one Zr(3), and one Pb(2) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Zr(3), one Zr(4), and one Pb(3) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Zr(4), one Zr(5), and one Pb(4) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to four equivalent Ba(1), one Zr(1), and one Zr(5) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to two equivalent Zr(2) and one Pb(1) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to two equivalent Zr(3) and one Pb(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to two equivalent Zr(4) and one Pb(3) atom. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to two equivalent Ba(1), two equivalent Zr(5), and one Pb(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ba(1) and two equivalent Zr(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaZr5Pb4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.250
_cell_length_b   4.250
_cell_length_c   21.220
_cell_angle_alpha   89.463
_cell_angle_beta   89.463
_cell_angle_gamma   89.262
_symmetry_Int_Tables_number   1
_cell_volume   383.297
_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
  Ba  Ba0  1  0.479  0.479  0.090  1.0
  Zr  Zr1  1  0.983  0.983  0.994  1.0
  Zr  Zr2  1  0.976  0.976  0.795  1.0
  Zr  Zr3  1  0.976  0.976  0.596  1.0
  Zr  Zr4  1  0.975  0.975  0.397  1.0
  Zr  Zr5  1  0.978  0.978  0.196  1.0
  Pb  Pb6  1  0.423  0.423  0.885  1.0
  Pb  Pb7  1  0.420  0.420  0.686  1.0
  Pb  Pb8  1  0.419  0.419  0.487  1.0
  Pb  Pb9  1  0.416  0.416  0.288  1.0
  O  O10  1  0.021  0.021  0.897  1.0
  O  O11  1  0.022  0.022  0.698  1.0
  O  O12  1  0.022  0.022  0.499  1.0
  O  O13  1  0.021  0.021  0.300  1.0
  O  O14  1  0.992  0.992  0.100  1.0
  O  O15  1  0.022  0.496  0.802  1.0
  O  O16  1  0.023  0.496  0.603  1.0
  O  O17  1  0.023  0.495  0.403  1.0
  O  O18  1  0.017  0.493  0.202  1.0
  O  O19  1  0.998  0.493  0.003  1.0
  O  O20  1  0.496  0.022  0.802  1.0
  O  O21  1  0.496  0.023  0.603  1.0
  O  O22  1  0.495  0.023  0.403  1.0
  O  O23  1  0.493  0.017  0.202  1.0
  O  O24  1  0.493  0.998  0.003  1.0
[/CIF]
.
The crystal structure described by BaZr5Pb4O15 crystallizes in the monoclinic Cm space group. Ba(1) is bonded to four equivalent O(10), four equivalent O(5), and four equivalent O(9) atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Zr(5)O6 octahedra. There are five inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(5), and four equivalent O(10) atoms to form ZrO6 octahedra that share  a cornercorner with one Zr(2)O6 octahedra,  a cornercorner with one Zr(5)O6 octahedra, corners with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-14°. In the second Zr site, Zr(2) is bonded to one O(1), one O(2), and four equivalent O(6) atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 13-15°. In the third Zr site, Zr(3) is bonded to one O(2), one O(3), and four equivalent O(7) atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 13-15°. In the fourth Zr site, Zr(4) is bonded to one O(3), one O(4), and four equivalent O(8) atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 13-15°. In the fifth Zr site, Zr(5) is bonded to one O(4), one O(5), and four equivalent O(9) atoms to form ZrO6 octahedra that share  a cornercorner with one Zr(1)O6 octahedra,  a cornercorner with one Zr(4)O6 octahedra, corners with four equivalent Zr(5)O6 octahedra, and faces with four equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-15°. There are four inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 3-coordinate geometry to one O(1) and two equivalent O(6) atoms. In the second Pb site, Pb(2) is bonded in a 3-coordinate geometry to one O(2) and two equivalent O(7) atoms. In the third Pb site, Pb(3) is bonded in a 3-coordinate geometry to one O(3) and two equivalent O(8) atoms. In the fourth Pb site, Pb(4) is bonded in a 3-coordinate geometry to one O(4) and two equivalent O(9) atoms. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Zr(1), one Zr(2), and one Pb(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Zr(2), one Zr(3), and one Pb(2) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Zr(3), one Zr(4), and one Pb(3) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Zr(4), one Zr(5), and one Pb(4) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to four equivalent Ba(1), one Zr(1), and one Zr(5) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to two equivalent Zr(2) and one Pb(1) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to two equivalent Zr(3) and one Pb(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to two equivalent Zr(4) and one Pb(3) atom. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to two equivalent Ba(1), two equivalent Zr(5), and one Pb(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ba(1) and two equivalent Zr(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaZr5Pb4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.250
_cell_length_b   4.250
_cell_length_c   21.220
_cell_angle_alpha   89.463
_cell_angle_beta   89.463
_cell_angle_gamma   89.262
_symmetry_Int_Tables_number   1
_cell_volume   383.297
_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
  Ba  Ba0  1  0.479  0.479  0.090  1.0
  Zr  Zr1  1  0.983  0.983  0.994  1.0
  Zr  Zr2  1  0.976  0.976  0.795  1.0
  Zr  Zr3  1  0.976  0.976  0.596  1.0
  Zr  Zr4  1  0.975  0.975  0.397  1.0
  Zr  Zr5  1  0.978  0.978  0.196  1.0
  Pb  Pb6  1  0.423  0.423  0.885  1.0
  Pb  Pb7  1  0.420  0.420  0.686  1.0
  Pb  Pb8  1  0.419  0.419  0.487  1.0
  Pb  Pb9  1  0.416  0.416  0.288  1.0
  O  O10  1  0.021  0.021  0.897  1.0
  O  O11  1  0.022  0.022  0.698  1.0
  O  O12  1  0.022  0.022  0.499  1.0
  O  O13  1  0.021  0.021  0.300  1.0
  O  O14  1  0.992  0.992  0.100  1.0
  O  O15  1  0.022  0.496  0.802  1.0
  O  O16  1  0.023  0.496  0.603  1.0
  O  O17  1  0.023  0.495  0.403  1.0
  O  O18  1  0.017  0.493  0.202  1.0
  O  O19  1  0.998  0.493  0.003  1.0
  O  O20  1  0.496  0.022  0.802  1.0
  O  O21  1  0.496  0.023  0.603  1.0
  O  O22  1  0.495  0.023  0.403  1.0
  O  O23  1  0.493  0.017  0.202  1.0
  O  O24  1  0.493  0.998  0.003  1.0
[/CIF]
.