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 distorted trigonal pyramidal geometry to 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 5-coordinate geometry to one O(10), one O(2), one O(5), one O(6), and one O(8) atom. In the third K site, K(3) is bonded in a 4-coordinate geometry to one O(5), one O(6), 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 4-coordinate 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 water-like geometry to one O(3) and one O(4) atom. In the seventh K site, K(7) is bonded in a 4-coordinate geometry to one O(3), one O(4), one O(7), and one O(8) atom. In the eighth K site, K(8) is bonded in a 3-coordinate geometry to one O(10), 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 3-coordinate geometry to one O(10), one O(2), 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 distorted linear geometry to one O(2) and one O(5) atom. Mg(1) is bonded in a tetrahedral geometry to one O(10), one O(2), one O(3), and 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 distorted trigonal non-coplanar 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 distorted L-shaped geometry to 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(11), one K(5), one K(9), one Pb(1), and one Pb(3) atom to form distorted OK3Pb2 trigonal bipyramids that share  a cornercorner with one O(5)K5Pb octahedra,  a cornercorner with one O(6)K5Pb octahedra,  a cornercorner with one O(7)K5Pb octahedra,  a cornercorner with one O(9)K4Pb square pyramid,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(7)K5Pb octahedra, and  an edgeedge with one O(9)K4Pb square pyramid. The corner-sharing octahedral tilt angles range from 14-79°. In the second O site, O(2) is bonded in a 5-coordinate geometry to one K(10), one K(12), one K(2), one Mg(1), and one Pb(2) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to one K(5), one K(6), one K(7), one Mg(1), and one Pb(3) atom. 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 corners with two equivalent O(9)K4Pb square pyramids,  an edgeedge with one O(7)K5Pb octahedra, and  an edgeedge with one O(1)K3Pb2 trigonal bipyramid. 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)K4Pb square pyramid,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(7)K5Pb octahedra, edges with two equivalent O(6)K5Pb octahedra, and  an edgeedge with one O(9)K4Pb square pyramid. In the sixth O site, O(6) is bonded to one K(1), one K(11), one K(2), one K(3), one K(4), and one Pb(2) atom to form OK5Pb octahedra that share  a cornercorner with one O(7)K5Pb octahedra,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(7)K5Pb octahedra, edges with two equivalent O(5)K5Pb octahedra, and  an edgeedge with one O(9)K4Pb square pyramid. The corner-sharing octahedral tilt angles are 26°. 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 distorted OK5Pb octahedra that share  a cornercorner with one O(6)K5Pb octahedra,  a cornercorner with one O(9)K4Pb square pyramid,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra,  an edgeedge with one O(6)K5Pb octahedra,  an edgeedge with one O(9)K4Pb square pyramid, and  an edgeedge with one O(1)K3Pb2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 26°. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one K(10), one K(2), one K(7), one K(8), one Mg(1), and one Pb(4) atom. In the ninth O site, O(9) is bonded to one K(1), one K(3), one K(5), one K(9), and one Pb(1) atom to form distorted OK4Pb square pyramids that share  a cornercorner with one O(5)K5Pb octahedra,  a cornercorner with one O(7)K5Pb octahedra, corners with two equivalent O(4)K5Pb octahedra,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(5)K5Pb octahedra,  an edgeedge with one O(6)K5Pb octahedra,  an edgeedge with one O(7)K5Pb octahedra, and  an edgeedge with one O(1)K3Pb2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 14-79°. In the tenth O site, O(10) is bonded in a 6-coordinate geometry to one K(10), one K(2), one K(4), one K(8), one Mg(1), and one Pb(2) atom. is represented by the CIF file [CIF]
data_K12Mg(Pb2O5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.419
_cell_length_b   8.436
_cell_length_c   12.353
_cell_angle_alpha   84.051
_cell_angle_beta   83.553
_cell_angle_gamma   87.393
_symmetry_Int_Tables_number   1
_cell_volume   660.801
_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  0.404  0.614  0.360  1.0
  K  K1  1  0.515  0.462  0.621  1.0
  K  K2  1  0.909  0.451  0.369  1.0
  K  K3  1  0.997  0.595  0.625  1.0
  K  K4  1  0.319  0.927  0.116  1.0
  K  K5  1  0.757  0.947  0.887  1.0
  K  K6  1  0.339  0.468  0.078  1.0
  K  K7  1  0.784  0.536  0.900  1.0
  K  K8  1  0.773  0.699  0.140  1.0
  K  K9  1  0.124  0.233  0.901  1.0
  K  K10  1  0.385  0.169  0.362  1.0
  K  K11  1  0.590  0.947  0.610  1.0
  Mg  Mg12  1  0.566  0.273  0.829  1.0
  Pb  Pb13  1  0.893  0.882  0.362  1.0
  Pb  Pb14  1  0.105  0.178  0.641  1.0
  Pb  Pb15  1  0.771  0.190  0.138  1.0
  Pb  Pb16  1  0.327  0.729  0.846  1.0
  O  O17  1  0.640  0.970  0.242  1.0
  O  O18  1  0.393  0.163  0.734  1.0
  O  O19  1  0.591  0.196  0.990  1.0
  O  O20  1  0.516  0.735  0.987  1.0
  O  O21  1  0.718  0.701  0.473  1.0
  O  O22  1  0.203  0.373  0.515  1.0
  O  O23  1  0.605  0.376  0.228  1.0
  O  O24  1  0.385  0.465  0.848  1.0
  O  O25  1  0.074  0.716  0.262  1.0
  O  O26  1  0.857  0.313  0.750  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 distorted trigonal pyramidal geometry to 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 5-coordinate geometry to one O(10), one O(2), one O(5), one O(6), and one O(8) atom. In the third K site, K(3) is bonded in a 4-coordinate geometry to one O(5), one O(6), 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 4-coordinate 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 water-like geometry to one O(3) and one O(4) atom. In the seventh K site, K(7) is bonded in a 4-coordinate geometry to one O(3), one O(4), one O(7), and one O(8) atom. In the eighth K site, K(8) is bonded in a 3-coordinate geometry to one O(10), 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 3-coordinate geometry to one O(10), one O(2), 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 distorted linear geometry to one O(2) and one O(5) atom. Mg(1) is bonded in a tetrahedral geometry to one O(10), one O(2), one O(3), and 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 distorted trigonal non-coplanar 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 distorted L-shaped geometry to 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(11), one K(5), one K(9), one Pb(1), and one Pb(3) atom to form distorted OK3Pb2 trigonal bipyramids that share  a cornercorner with one O(5)K5Pb octahedra,  a cornercorner with one O(6)K5Pb octahedra,  a cornercorner with one O(7)K5Pb octahedra,  a cornercorner with one O(9)K4Pb square pyramid,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(7)K5Pb octahedra, and  an edgeedge with one O(9)K4Pb square pyramid. The corner-sharing octahedral tilt angles range from 14-79°. In the second O site, O(2) is bonded in a 5-coordinate geometry to one K(10), one K(12), one K(2), one Mg(1), and one Pb(2) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to one K(5), one K(6), one K(7), one Mg(1), and one Pb(3) atom. 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 corners with two equivalent O(9)K4Pb square pyramids,  an edgeedge with one O(7)K5Pb octahedra, and  an edgeedge with one O(1)K3Pb2 trigonal bipyramid. 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)K4Pb square pyramid,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(7)K5Pb octahedra, edges with two equivalent O(6)K5Pb octahedra, and  an edgeedge with one O(9)K4Pb square pyramid. In the sixth O site, O(6) is bonded to one K(1), one K(11), one K(2), one K(3), one K(4), and one Pb(2) atom to form OK5Pb octahedra that share  a cornercorner with one O(7)K5Pb octahedra,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(7)K5Pb octahedra, edges with two equivalent O(5)K5Pb octahedra, and  an edgeedge with one O(9)K4Pb square pyramid. The corner-sharing octahedral tilt angles are 26°. 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 distorted OK5Pb octahedra that share  a cornercorner with one O(6)K5Pb octahedra,  a cornercorner with one O(9)K4Pb square pyramid,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(4)K5Pb octahedra,  an edgeedge with one O(5)K5Pb octahedra,  an edgeedge with one O(6)K5Pb octahedra,  an edgeedge with one O(9)K4Pb square pyramid, and  an edgeedge with one O(1)K3Pb2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 26°. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one K(10), one K(2), one K(7), one K(8), one Mg(1), and one Pb(4) atom. In the ninth O site, O(9) is bonded to one K(1), one K(3), one K(5), one K(9), and one Pb(1) atom to form distorted OK4Pb square pyramids that share  a cornercorner with one O(5)K5Pb octahedra,  a cornercorner with one O(7)K5Pb octahedra, corners with two equivalent O(4)K5Pb octahedra,  a cornercorner with one O(1)K3Pb2 trigonal bipyramid,  an edgeedge with one O(5)K5Pb octahedra,  an edgeedge with one O(6)K5Pb octahedra,  an edgeedge with one O(7)K5Pb octahedra, and  an edgeedge with one O(1)K3Pb2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 14-79°. In the tenth O site, O(10) is bonded in a 6-coordinate geometry to one K(10), one K(2), one K(4), one K(8), one Mg(1), and one Pb(2) atom. is represented by the CIF file [CIF]
data_K12Mg(Pb2O5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.419
_cell_length_b   8.436
_cell_length_c   12.353
_cell_angle_alpha   84.051
_cell_angle_beta   83.553
_cell_angle_gamma   87.393
_symmetry_Int_Tables_number   1
_cell_volume   660.801
_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  0.404  0.614  0.360  1.0
  K  K1  1  0.515  0.462  0.621  1.0
  K  K2  1  0.909  0.451  0.369  1.0
  K  K3  1  0.997  0.595  0.625  1.0
  K  K4  1  0.319  0.927  0.116  1.0
  K  K5  1  0.757  0.947  0.887  1.0
  K  K6  1  0.339  0.468  0.078  1.0
  K  K7  1  0.784  0.536  0.900  1.0
  K  K8  1  0.773  0.699  0.140  1.0
  K  K9  1  0.124  0.233  0.901  1.0
  K  K10  1  0.385  0.169  0.362  1.0
  K  K11  1  0.590  0.947  0.610  1.0
  Mg  Mg12  1  0.566  0.273  0.829  1.0
  Pb  Pb13  1  0.893  0.882  0.362  1.0
  Pb  Pb14  1  0.105  0.178  0.641  1.0
  Pb  Pb15  1  0.771  0.190  0.138  1.0
  Pb  Pb16  1  0.327  0.729  0.846  1.0
  O  O17  1  0.640  0.970  0.242  1.0
  O  O18  1  0.393  0.163  0.734  1.0
  O  O19  1  0.591  0.196  0.990  1.0
  O  O20  1  0.516  0.735  0.987  1.0
  O  O21  1  0.718  0.701  0.473  1.0
  O  O22  1  0.203  0.373  0.515  1.0
  O  O23  1  0.605  0.376  0.228  1.0
  O  O24  1  0.385  0.465  0.848  1.0
  O  O25  1  0.074  0.716  0.262  1.0
  O  O26  1  0.857  0.313  0.750  1.0
[/CIF]
.