The material structure described by K12Mg(Pb2O5)2 crystallizes in the triclinic P1 space group. There are twelve inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(1), one O(5), one O(6), one O(7), and one O(9) atom. In the second K site, K(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(2), one O(5), and one O(6) atom. In the third K site, K(3) is bonded in a 3-coordinate geometry to one O(5), one O(7), and one O(9) atom. In the fourth K site, K(4) is bonded in a 3-coordinate geometry to one O(10), one O(5), and one O(6) atom. In the fifth K site, K(5) is bonded in a distorted see-saw-like geometry to one O(1), one O(3), one O(4), and one O(9) atom. In the sixth K site, K(6) is bonded in a distorted see-saw-like geometry to one O(10), one O(2), one O(3), and one O(4) atom. In the seventh K site, K(7) is bonded in a distorted trigonal pyramidal geometry to one O(3), one O(4), one O(7), and one O(9) atom. In the eighth K site, K(8) is bonded in a 3-coordinate geometry to one O(3), one O(4), and one O(8) atom. In the ninth K site, K(9) is bonded in a distorted see-saw-like geometry to one O(1), one O(4), one O(7), and one O(9) atom. In the tenth K site, K(10) is bonded in a 4-coordinate geometry to one O(10), one O(2), one O(3), and one O(8) atom. In the eleventh K site, K(11) is bonded in a distorted T-shaped geometry to one O(1), one O(6), and one O(7) atom. In the twelfth K site, K(12) is bonded in a 3-coordinate geometry to one O(2), one O(5), and one O(8) atom. Mg(1) is bonded in a single-bond geometry to one O(8) atom. There are four inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 3-coordinate geometry to one O(1), one O(5), and one O(9) atom. In the second Pb site, Pb(2) is bonded in a 3-coordinate geometry to one O(10), one O(2), and one O(6) atom. In the third Pb site, Pb(3) is bonded in a 3-coordinate geometry to one O(1), one O(3), and one O(7) atom. In the fourth Pb site, Pb(4) is bonded in a 3-coordinate geometry to one O(2), one O(4), and one O(8) atom. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one K(11), one K(5), one K(9), one Pb(1), and one Pb(3) atom to form distorted OK4Pb2 octahedra that share corners with two equivalent O(6)K4Pb trigonal bipyramids,  an edgeedge with one O(3)K5Pb octahedra,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra, edges with two equivalent O(7)K5Pb octahedra, and edges with two equivalent O(9)K5Pb octahedra. In the second O site, O(2) is bonded to one K(10), one K(12), one K(2), one K(6), one Pb(2), and one Pb(4) atom to form OK4Pb2 octahedra that share corners with two equivalent O(5)K5Pb octahedra,  a cornercorner with one O(8)K3MgPb trigonal bipyramid,  an edgeedge with one O(3)K5Pb octahedra,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(8)K3MgPb trigonal bipyramid, and  an edgeedge with one O(6)K4Pb trigonal bipyramid. The corner-sharing octahedral tilt angles range from 10-16°. In the third O site, O(3) is bonded to one K(10), one K(5), one K(6), one K(7), one K(8), and one Pb(3) atom to form distorted OK5Pb octahedra that share corners with two equivalent O(9)K5Pb octahedra,  an edgeedge with one O(1)K4Pb2 octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(7)K5Pb octahedra, edges with two equivalent O(4)K5Pb octahedra, and  an edgeedge with one O(8)K3MgPb trigonal bipyramid. The corner-sharing octahedral tilt angles range from 9-18°. In the fourth O site, O(4) is bonded to one K(5), one K(6), one K(7), one K(8), one K(9), and one Pb(4) atom to form OK5Pb octahedra that share  a cornercorner with one O(9)K5Pb octahedra,  an edgeedge with one O(1)K4Pb2 octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(7)K5Pb octahedra,  an edgeedge with one O(9)K5Pb octahedra, edges with two equivalent O(3)K5Pb octahedra, and  an edgeedge with one O(8)K3MgPb trigonal bipyramid. The corner-sharing octahedral tilt angles are 8°. In the fifth O site, O(5) is bonded to one K(1), one K(12), one K(2), one K(3), one K(4), and one Pb(1) atom to form distorted OK5Pb octahedra that share  a cornercorner with one O(9)K5Pb octahedra, corners with two equivalent O(2)K4Pb2 octahedra,  a cornercorner with one O(8)K3MgPb trigonal bipyramid,  a cornercorner with one O(6)K4Pb trigonal bipyramid,  an edgeedge with one O(1)K4Pb2 octahedra,  an edgeedge with one O(7)K5Pb octahedra,  an edgeedge with one O(9)K5Pb octahedra, and  an edgeedge with one O(6)K4Pb trigonal bipyramid. The corner-sharing octahedral tilt angles range from 10-24°. In the sixth O site, O(6) is bonded to one K(1), one K(11), one K(2), one K(4), and one Pb(2) atom to form distorted OK4Pb trigonal bipyramids that share  a cornercorner with one O(5)K5Pb octahedra,  a cornercorner with one O(9)K5Pb octahedra, corners with two equivalent O(1)K4Pb2 octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(5)K5Pb octahedra, and  an edgeedge with one O(7)K5Pb octahedra. The corner-sharing octahedral tilt angles range from 10-83°. In the seventh O site, O(7) is bonded to one K(1), one K(11), one K(3), one K(7), one K(9), and one Pb(3) atom to form OK5Pb octahedra that share  an edgeedge with one O(3)K5Pb octahedra,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra, edges with two equivalent O(1)K4Pb2 octahedra, edges with two equivalent O(9)K5Pb octahedra, and  an edgeedge with one O(6)K4Pb trigonal bipyramid. In the eighth O site, O(8) is bonded to one K(10), one K(12), one K(8), one Mg(1), and one Pb(4) atom to form distorted OK3MgPb trigonal bipyramids that share  a cornercorner with one O(2)K4Pb2 octahedra,  a cornercorner with one O(5)K5Pb octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(3)K5Pb octahedra, and  an edgeedge with one O(4)K5Pb octahedra. The corner-sharing octahedral tilt angles are 65°. In the ninth O site, O(9) is bonded to one K(1), one K(3), one K(5), one K(7), one K(9), and one Pb(1) atom to form OK5Pb octahedra that share  a cornercorner with one O(4)K5Pb octahedra,  a cornercorner with one O(5)K5Pb octahedra, corners with two equivalent O(3)K5Pb octahedra,  a cornercorner with one O(6)K4Pb trigonal bipyramid,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra, edges with two equivalent O(1)K4Pb2 octahedra, and edges with two equivalent O(7)K5Pb octahedra. The corner-sharing octahedral tilt angles range from 8-24°. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one K(10), one K(2), one K(4), one K(6), and one Pb(2) atom. is represented by the CIF card [CIF]
data_K12Mg(Pb2O5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.857
_cell_length_b   8.015
_cell_length_c   13.026
_cell_angle_alpha   77.157
_cell_angle_beta   80.975
_cell_angle_gamma   84.155
_symmetry_Int_Tables_number   1
_cell_volume   687.711
_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  0.428  0.596  0.361  1.0
  K  K1  1  0.572  0.359  0.627  1.0
  K  K2  1  0.908  0.403  0.358  1.0
  K  K3  1  0.025  0.552  0.569  1.0
  K  K4  1  0.323  0.960  0.138  1.0
  K  K5  1  0.691  0.061  0.875  1.0
  K  K6  1  0.323  0.503  0.125  1.0
  K  K7  1  0.613  0.513  0.886  1.0
  K  K8  1  0.785  0.706  0.120  1.0
  K  K9  1  0.175  0.313  0.867  1.0
  K  K10  1  0.434  0.139  0.371  1.0
  K  K11  1  0.558  0.831  0.641  1.0
  Mg  Mg12  1  0.029  0.726  0.767  1.0
  Pb  Pb13  1  0.881  0.851  0.350  1.0
  Pb  Pb14  1  0.136  0.125  0.642  1.0
  Pb  Pb15  1  0.744  0.203  0.129  1.0
  Pb  Pb16  1  0.257  0.865  0.898  1.0
  O  O17  1  0.644  0.946  0.240  1.0
  O  O18  1  0.379  0.076  0.761  1.0
  O  O19  1  0.500  0.242  0.035  1.0
  O  O20  1  0.500  0.773  0.986  1.0
  O  O21  1  0.716  0.650  0.465  1.0
  O  O22  1  0.286  0.320  0.514  1.0
  O  O23  1  0.629  0.382  0.234  1.0
  O  O24  1  0.298  0.655  0.796  1.0
  O  O25  1  0.074  0.686  0.257  1.0
  O  O26  1  0.923  0.290  0.724  1.0
[/CIF]
.
The material structure described by K12Mg(Pb2O5)2 crystallizes in the triclinic P1 space group. There are twelve inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(1), one O(5), one O(6), one O(7), and one O(9) atom. In the second K site, K(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(2), one O(5), and one O(6) atom. In the third K site, K(3) is bonded in a 3-coordinate geometry to one O(5), one O(7), and one O(9) atom. In the fourth K site, K(4) is bonded in a 3-coordinate geometry to one O(10), one O(5), and one O(6) atom. In the fifth K site, K(5) is bonded in a distorted see-saw-like geometry to one O(1), one O(3), one O(4), and one O(9) atom. In the sixth K site, K(6) is bonded in a distorted see-saw-like geometry to one O(10), one O(2), one O(3), and one O(4) atom. In the seventh K site, K(7) is bonded in a distorted trigonal pyramidal geometry to one O(3), one O(4), one O(7), and one O(9) atom. In the eighth K site, K(8) is bonded in a 3-coordinate geometry to one O(3), one O(4), and one O(8) atom. In the ninth K site, K(9) is bonded in a distorted see-saw-like geometry to one O(1), one O(4), one O(7), and one O(9) atom. In the tenth K site, K(10) is bonded in a 4-coordinate geometry to one O(10), one O(2), one O(3), and one O(8) atom. In the eleventh K site, K(11) is bonded in a distorted T-shaped geometry to one O(1), one O(6), and one O(7) atom. In the twelfth K site, K(12) is bonded in a 3-coordinate geometry to one O(2), one O(5), and one O(8) atom. Mg(1) is bonded in a single-bond geometry to one O(8) atom. There are four inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 3-coordinate geometry to one O(1), one O(5), and one O(9) atom. In the second Pb site, Pb(2) is bonded in a 3-coordinate geometry to one O(10), one O(2), and one O(6) atom. In the third Pb site, Pb(3) is bonded in a 3-coordinate geometry to one O(1), one O(3), and one O(7) atom. In the fourth Pb site, Pb(4) is bonded in a 3-coordinate geometry to one O(2), one O(4), and one O(8) atom. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one K(11), one K(5), one K(9), one Pb(1), and one Pb(3) atom to form distorted OK4Pb2 octahedra that share corners with two equivalent O(6)K4Pb trigonal bipyramids,  an edgeedge with one O(3)K5Pb octahedra,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra, edges with two equivalent O(7)K5Pb octahedra, and edges with two equivalent O(9)K5Pb octahedra. In the second O site, O(2) is bonded to one K(10), one K(12), one K(2), one K(6), one Pb(2), and one Pb(4) atom to form OK4Pb2 octahedra that share corners with two equivalent O(5)K5Pb octahedra,  a cornercorner with one O(8)K3MgPb trigonal bipyramid,  an edgeedge with one O(3)K5Pb octahedra,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(8)K3MgPb trigonal bipyramid, and  an edgeedge with one O(6)K4Pb trigonal bipyramid. The corner-sharing octahedral tilt angles range from 10-16°. In the third O site, O(3) is bonded to one K(10), one K(5), one K(6), one K(7), one K(8), and one Pb(3) atom to form distorted OK5Pb octahedra that share corners with two equivalent O(9)K5Pb octahedra,  an edgeedge with one O(1)K4Pb2 octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(7)K5Pb octahedra, edges with two equivalent O(4)K5Pb octahedra, and  an edgeedge with one O(8)K3MgPb trigonal bipyramid. The corner-sharing octahedral tilt angles range from 9-18°. In the fourth O site, O(4) is bonded to one K(5), one K(6), one K(7), one K(8), one K(9), and one Pb(4) atom to form OK5Pb octahedra that share  a cornercorner with one O(9)K5Pb octahedra,  an edgeedge with one O(1)K4Pb2 octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(7)K5Pb octahedra,  an edgeedge with one O(9)K5Pb octahedra, edges with two equivalent O(3)K5Pb octahedra, and  an edgeedge with one O(8)K3MgPb trigonal bipyramid. The corner-sharing octahedral tilt angles are 8°. In the fifth O site, O(5) is bonded to one K(1), one K(12), one K(2), one K(3), one K(4), and one Pb(1) atom to form distorted OK5Pb octahedra that share  a cornercorner with one O(9)K5Pb octahedra, corners with two equivalent O(2)K4Pb2 octahedra,  a cornercorner with one O(8)K3MgPb trigonal bipyramid,  a cornercorner with one O(6)K4Pb trigonal bipyramid,  an edgeedge with one O(1)K4Pb2 octahedra,  an edgeedge with one O(7)K5Pb octahedra,  an edgeedge with one O(9)K5Pb octahedra, and  an edgeedge with one O(6)K4Pb trigonal bipyramid. The corner-sharing octahedral tilt angles range from 10-24°. In the sixth O site, O(6) is bonded to one K(1), one K(11), one K(2), one K(4), and one Pb(2) atom to form distorted OK4Pb trigonal bipyramids that share  a cornercorner with one O(5)K5Pb octahedra,  a cornercorner with one O(9)K5Pb octahedra, corners with two equivalent O(1)K4Pb2 octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(5)K5Pb octahedra, and  an edgeedge with one O(7)K5Pb octahedra. The corner-sharing octahedral tilt angles range from 10-83°. In the seventh O site, O(7) is bonded to one K(1), one K(11), one K(3), one K(7), one K(9), and one Pb(3) atom to form OK5Pb octahedra that share  an edgeedge with one O(3)K5Pb octahedra,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra, edges with two equivalent O(1)K4Pb2 octahedra, edges with two equivalent O(9)K5Pb octahedra, and  an edgeedge with one O(6)K4Pb trigonal bipyramid. In the eighth O site, O(8) is bonded to one K(10), one K(12), one K(8), one Mg(1), and one Pb(4) atom to form distorted OK3MgPb trigonal bipyramids that share  a cornercorner with one O(2)K4Pb2 octahedra,  a cornercorner with one O(5)K5Pb octahedra,  an edgeedge with one O(2)K4Pb2 octahedra,  an edgeedge with one O(3)K5Pb octahedra, and  an edgeedge with one O(4)K5Pb octahedra. The corner-sharing octahedral tilt angles are 65°. In the ninth O site, O(9) is bonded to one K(1), one K(3), one K(5), one K(7), one K(9), and one Pb(1) atom to form OK5Pb octahedra that share  a cornercorner with one O(4)K5Pb octahedra,  a cornercorner with one O(5)K5Pb octahedra, corners with two equivalent O(3)K5Pb octahedra,  a cornercorner with one O(6)K4Pb trigonal bipyramid,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra, edges with two equivalent O(1)K4Pb2 octahedra, and edges with two equivalent O(7)K5Pb octahedra. The corner-sharing octahedral tilt angles range from 8-24°. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one K(10), one K(2), one K(4), one K(6), and one Pb(2) atom. is represented by the CIF card [CIF]
data_K12Mg(Pb2O5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.857
_cell_length_b   8.015
_cell_length_c   13.026
_cell_angle_alpha   77.157
_cell_angle_beta   80.975
_cell_angle_gamma   84.155
_symmetry_Int_Tables_number   1
_cell_volume   687.711
_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  0.428  0.596  0.361  1.0
  K  K1  1  0.572  0.359  0.627  1.0
  K  K2  1  0.908  0.403  0.358  1.0
  K  K3  1  0.025  0.552  0.569  1.0
  K  K4  1  0.323  0.960  0.138  1.0
  K  K5  1  0.691  0.061  0.875  1.0
  K  K6  1  0.323  0.503  0.125  1.0
  K  K7  1  0.613  0.513  0.886  1.0
  K  K8  1  0.785  0.706  0.120  1.0
  K  K9  1  0.175  0.313  0.867  1.0
  K  K10  1  0.434  0.139  0.371  1.0
  K  K11  1  0.558  0.831  0.641  1.0
  Mg  Mg12  1  0.029  0.726  0.767  1.0
  Pb  Pb13  1  0.881  0.851  0.350  1.0
  Pb  Pb14  1  0.136  0.125  0.642  1.0
  Pb  Pb15  1  0.744  0.203  0.129  1.0
  Pb  Pb16  1  0.257  0.865  0.898  1.0
  O  O17  1  0.644  0.946  0.240  1.0
  O  O18  1  0.379  0.076  0.761  1.0
  O  O19  1  0.500  0.242  0.035  1.0
  O  O20  1  0.500  0.773  0.986  1.0
  O  O21  1  0.716  0.650  0.465  1.0
  O  O22  1  0.286  0.320  0.514  1.0
  O  O23  1  0.629  0.382  0.234  1.0
  O  O24  1  0.298  0.655  0.796  1.0
  O  O25  1  0.074  0.686  0.257  1.0
  O  O26  1  0.923  0.290  0.724  1.0
[/CIF]
.