The material described by BaZr2Ti3Pb4O15 is Pb(Zr_(1-x)Ti_x)O3-derived structured and crystallizes in the monoclinic Pm space group. Ba(1) is bonded to two equivalent O(1), two equivalent O(11), two equivalent O(12), two equivalent O(2), and four equivalent O(7) atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Zr(1)O6 octahedra. There are two inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(6), one O(7), two equivalent O(1), and two equivalent O(11) atoms to form distorted ZrO6 octahedra that share  a cornercorner with one Zr(2)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 4-19°. In the second Zr site, Zr(2) is bonded to one O(10), one O(6), two equivalent O(15), and two equivalent O(5) atoms to form distorted corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 3-24°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 5-coordinate geometry to one O(2), one O(7), one O(8), and two equivalent O(12) atoms. In the second Ti site, Ti(2) is bonded in a 5-coordinate geometry to one O(3), one O(8), one O(9), and two equivalent O(13) atoms. In the third Ti site, Ti(3) is bonded in a 5-coordinate geometry to one O(10), one O(4), one O(9), and two equivalent O(14) atoms. There are four inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 4-coordinate geometry to one O(11), one O(15), and two equivalent O(6) atoms. In the second Pb site, Pb(2) is bonded in a 4-coordinate geometry to one O(12), one O(13), and two equivalent O(8) atoms. In the third Pb site, Pb(3) is bonded in a 4-coordinate geometry to one O(13), one O(14), and two equivalent O(9) atoms. In the fourth Pb site, Pb(4) is bonded in a 4-coordinate geometry to one O(14), one O(15), and two equivalent O(10) atoms. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ba(1) and two equivalent Zr(1) atoms. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Ba(1) and one Ti(1) atom. In the third O site, O(3) is bonded in a single-bond geometry to one Ti(2) atom. In the fourth O site, O(4) is bonded in a single-bond geometry to one Ti(3) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to two equivalent Zr(2) atoms. In the sixth O site, O(6) is bonded in a distorted see-saw-like geometry to one Zr(1), one Zr(2), and two equivalent Pb(1) atoms. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to four equivalent Ba(1), one Zr(1), and one Ti(1) atom. In the eighth O site, O(8) is bonded in a distorted bent 150 degrees geometry to one Ti(1), one Ti(2), and two equivalent Pb(2) atoms. In the ninth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one Ti(2), one Ti(3), and two equivalent Pb(3) atoms. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Zr(2), one Ti(3), and two equivalent Pb(4) atoms. In the eleventh O site, O(11) is bonded in a 2-coordinate geometry to two equivalent Ba(1), two equivalent Zr(1), and one Pb(1) atom. In the twelfth O site, O(12) is bonded in a 2-coordinate geometry to two equivalent Ba(1), two equivalent Ti(1), and one Pb(2) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to two equivalent Ti(2), one Pb(2), and one Pb(3) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to two equivalent Ti(3), one Pb(3), and one Pb(4) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to two equivalent Zr(2), one Pb(1), and one Pb(4) atom. is represented by the CIF file [CIF]
data_BaZr2Ti3Pb4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.052
_cell_length_b   20.014
_cell_length_c   4.417
_cell_angle_alpha   89.843
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   358.169
_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  0.000  0.208  0.030  1.0
  Zr  Zr1  1  0.500  0.103  0.529  1.0
  Zr  Zr2  1  0.500  0.894  0.521  1.0
  Ti  Ti3  1  0.500  0.307  0.508  1.0
  Ti  Ti4  1  0.500  0.500  0.510  1.0
  Ti  Ti5  1  0.500  0.693  0.512  1.0
  Pb  Pb6  1  0.000  0.996  0.957  1.0
  Pb  Pb7  1  0.000  0.404  0.949  1.0
  Pb  Pb8  1  0.000  0.596  0.955  1.0
  Pb  Pb9  1  0.000  0.788  0.958  1.0
  O  O10  1  0.500  0.108  0.075  1.0
  O  O11  1  0.500  0.307  0.107  1.0
  O  O12  1  0.500  0.501  0.113  1.0
  O  O13  1  0.500  0.695  0.115  1.0
  O  O14  1  0.500  0.897  0.073  1.0
  O  O15  1  0.500  0.999  0.607  1.0
  O  O16  1  0.500  0.211  0.571  1.0
  O  O17  1  0.500  0.405  0.610  1.0
  O  O18  1  0.500  0.597  0.612  1.0
  O  O19  1  0.500  0.789  0.613  1.0
  O  O20  1  0.000  0.103  0.606  1.0
  O  O21  1  0.000  0.309  0.584  1.0
  O  O22  1  0.000  0.502  0.599  1.0
  O  O23  1  0.000  0.694  0.601  1.0
  O  O24  1  0.000  0.895  0.619  1.0
[/CIF]
.
The material described by BaZr2Ti3Pb4O15 is Pb(Zr_(1-x)Ti_x)O3-derived structured and crystallizes in the monoclinic Pm space group. Ba(1) is bonded to two equivalent O(1), two equivalent O(11), two equivalent O(12), two equivalent O(2), and four equivalent O(7) atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Zr(1)O6 octahedra. There are two inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(6), one O(7), two equivalent O(1), and two equivalent O(11) atoms to form distorted ZrO6 octahedra that share  a cornercorner with one Zr(2)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 4-19°. In the second Zr site, Zr(2) is bonded to one O(10), one O(6), two equivalent O(15), and two equivalent O(5) atoms to form distorted corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles range from 3-24°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 5-coordinate geometry to one O(2), one O(7), one O(8), and two equivalent O(12) atoms. In the second Ti site, Ti(2) is bonded in a 5-coordinate geometry to one O(3), one O(8), one O(9), and two equivalent O(13) atoms. In the third Ti site, Ti(3) is bonded in a 5-coordinate geometry to one O(10), one O(4), one O(9), and two equivalent O(14) atoms. There are four inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 4-coordinate geometry to one O(11), one O(15), and two equivalent O(6) atoms. In the second Pb site, Pb(2) is bonded in a 4-coordinate geometry to one O(12), one O(13), and two equivalent O(8) atoms. In the third Pb site, Pb(3) is bonded in a 4-coordinate geometry to one O(13), one O(14), and two equivalent O(9) atoms. In the fourth Pb site, Pb(4) is bonded in a 4-coordinate geometry to one O(14), one O(15), and two equivalent O(10) atoms. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ba(1) and two equivalent Zr(1) atoms. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Ba(1) and one Ti(1) atom. In the third O site, O(3) is bonded in a single-bond geometry to one Ti(2) atom. In the fourth O site, O(4) is bonded in a single-bond geometry to one Ti(3) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to two equivalent Zr(2) atoms. In the sixth O site, O(6) is bonded in a distorted see-saw-like geometry to one Zr(1), one Zr(2), and two equivalent Pb(1) atoms. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to four equivalent Ba(1), one Zr(1), and one Ti(1) atom. In the eighth O site, O(8) is bonded in a distorted bent 150 degrees geometry to one Ti(1), one Ti(2), and two equivalent Pb(2) atoms. In the ninth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one Ti(2), one Ti(3), and two equivalent Pb(3) atoms. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Zr(2), one Ti(3), and two equivalent Pb(4) atoms. In the eleventh O site, O(11) is bonded in a 2-coordinate geometry to two equivalent Ba(1), two equivalent Zr(1), and one Pb(1) atom. In the twelfth O site, O(12) is bonded in a 2-coordinate geometry to two equivalent Ba(1), two equivalent Ti(1), and one Pb(2) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to two equivalent Ti(2), one Pb(2), and one Pb(3) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to two equivalent Ti(3), one Pb(3), and one Pb(4) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to two equivalent Zr(2), one Pb(1), and one Pb(4) atom. is represented by the CIF file [CIF]
data_BaZr2Ti3Pb4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.052
_cell_length_b   20.014
_cell_length_c   4.417
_cell_angle_alpha   89.843
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   358.169
_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  0.000  0.208  0.030  1.0
  Zr  Zr1  1  0.500  0.103  0.529  1.0
  Zr  Zr2  1  0.500  0.894  0.521  1.0
  Ti  Ti3  1  0.500  0.307  0.508  1.0
  Ti  Ti4  1  0.500  0.500  0.510  1.0
  Ti  Ti5  1  0.500  0.693  0.512  1.0
  Pb  Pb6  1  0.000  0.996  0.957  1.0
  Pb  Pb7  1  0.000  0.404  0.949  1.0
  Pb  Pb8  1  0.000  0.596  0.955  1.0
  Pb  Pb9  1  0.000  0.788  0.958  1.0
  O  O10  1  0.500  0.108  0.075  1.0
  O  O11  1  0.500  0.307  0.107  1.0
  O  O12  1  0.500  0.501  0.113  1.0
  O  O13  1  0.500  0.695  0.115  1.0
  O  O14  1  0.500  0.897  0.073  1.0
  O  O15  1  0.500  0.999  0.607  1.0
  O  O16  1  0.500  0.211  0.571  1.0
  O  O17  1  0.500  0.405  0.610  1.0
  O  O18  1  0.500  0.597  0.612  1.0
  O  O19  1  0.500  0.789  0.613  1.0
  O  O20  1  0.000  0.103  0.606  1.0
  O  O21  1  0.000  0.309  0.584  1.0
  O  O22  1  0.000  0.502  0.599  1.0
  O  O23  1  0.000  0.694  0.601  1.0
  O  O24  1  0.000  0.895  0.619  1.0
[/CIF]
.