The material described by Pb3GeGa10O20 crystallizes in the monoclinic C2/m space group. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with two equivalent Ga(2)O4 tetrahedra, corners with four equivalent Ga(3)O4 tetrahedra,  an edgeedge with one Ga(1)O6 octahedra, and edges with two equivalent Ge(1)O6 octahedra. In the second Ga site, Ga(2) is bonded to one O(2), one O(3), one O(4), and one O(5) atom to form GaO4 tetrahedra that share  a cornercorner with one Ga(1)O6 octahedra, corners with two equivalent Pb(1)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra, and corners with three equivalent Ga(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-76°. In the third Ga site, Ga(3) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form GaO4 tetrahedra that share  a cornercorner with one Pb(1)O6 octahedra,  a cornercorner with one Ge(1)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, and corners with three equivalent Ga(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to two equivalent O(2) and four equivalent O(5) atoms to form distorted PbO6 octahedra that share corners with four equivalent Ga(3)O4 tetrahedra and corners with eight equivalent Ga(2)O4 tetrahedra. In the second Pb site, Pb(2) is bonded in a 3-coordinate geometry to one O(1) and two equivalent O(3) atoms. Ge(1) is bonded to two equivalent O(1) and four equivalent O(6) atoms to form GeO6 octahedra that share corners with four equivalent Ga(3)O4 tetrahedra and edges with four equivalent Ga(1)O6 octahedra. There are six inequivalent O sites. In the first O site, O(3) is bonded in a distorted trigonal planar geometry to one Ga(2), one Ga(3), and one Pb(2) atom. In the second O site, O(4) is bonded in a trigonal planar geometry to one Ga(1), one Ga(2), and one Ga(3) atom. In the third O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Ga(2), one Ga(3), and one Pb(1) atom. In the fourth O site, O(6) is bonded in a trigonal planar geometry to one Ga(1), one Ga(3), and one Ge(1) atom. In the fifth O site, O(1) is bonded to two equivalent Ga(1), one Pb(2), and one Ge(1) atom to form a mixture of distorted edge and corner-sharing OGa2GePb tetrahedra. In the sixth O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Ga(2) and one Pb(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ga10GePb3O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.791
_cell_length_b   9.791
_cell_length_c   5.117
_cell_angle_alpha   74.877
_cell_angle_beta   74.877
_cell_angle_gamma   73.605
_symmetry_Int_Tables_number   1
_cell_volume   444.943
_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
  Ga  Ga0  1  0.633  0.367  0.500  1.0
  Ga  Ga1  1  0.367  0.633  0.500  1.0
  Ga  Ga2  1  0.279  0.007  0.374  1.0
  Ga  Ga3  1  0.993  0.721  0.626  1.0
  Ga  Ga4  1  0.721  0.993  0.626  1.0
  Ga  Ga5  1  0.007  0.279  0.374  1.0
  Ga  Ga6  1  0.578  0.151  0.106  1.0
  Ga  Ga7  1  0.849  0.422  0.894  1.0
  Ga  Ga8  1  0.422  0.849  0.894  1.0
  Ga  Ga9  1  0.151  0.578  0.106  1.0
  Ge  Ge10  1  0.500  0.500  0.000  1.0
  Pb  Pb11  1  0.000  0.000  0.000  1.0
  Pb  Pb12  1  0.723  0.723  0.220  1.0
  Pb  Pb13  1  0.277  0.277  0.780  1.0
  O  O14  1  0.567  0.567  0.250  1.0
  O  O15  1  0.433  0.433  0.750  1.0
  O  O16  1  0.097  0.097  0.305  1.0
  O  O17  1  0.903  0.903  0.695  1.0
  O  O18  1  0.396  0.124  0.132  1.0
  O  O19  1  0.876  0.604  0.868  1.0
  O  O20  1  0.604  0.876  0.868  1.0
  O  O21  1  0.124  0.396  0.132  1.0
  O  O22  1  0.339  0.827  0.271  1.0
  O  O23  1  0.173  0.661  0.729  1.0
  O  O24  1  0.661  0.173  0.729  1.0
  O  O25  1  0.827  0.339  0.271  1.0
  O  O26  1  0.991  0.281  0.738  1.0
  O  O27  1  0.719  0.009  0.262  1.0
  O  O28  1  0.009  0.719  0.262  1.0
  O  O29  1  0.281  0.991  0.738  1.0
  O  O30  1  0.683  0.455  0.759  1.0
  O  O31  1  0.545  0.317  0.241  1.0
  O  O32  1  0.317  0.545  0.241  1.0
  O  O33  1  0.455  0.683  0.759  1.0
[/CIF]
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The material described by Pb3GeGa10O20 crystallizes in the monoclinic C2/m space group. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with two equivalent Ga(2)O4 tetrahedra, corners with four equivalent Ga(3)O4 tetrahedra,  an edgeedge with one Ga(1)O6 octahedra, and edges with two equivalent Ge(1)O6 octahedra. In the second Ga site, Ga(2) is bonded to one O(2), one O(3), one O(4), and one O(5) atom to form GaO4 tetrahedra that share  a cornercorner with one Ga(1)O6 octahedra, corners with two equivalent Pb(1)O6 octahedra,  a cornercorner with one Ga(2)O4 tetrahedra, and corners with three equivalent Ga(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-76°. In the third Ga site, Ga(3) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form GaO4 tetrahedra that share  a cornercorner with one Pb(1)O6 octahedra,  a cornercorner with one Ge(1)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, and corners with three equivalent Ga(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to two equivalent O(2) and four equivalent O(5) atoms to form distorted PbO6 octahedra that share corners with four equivalent Ga(3)O4 tetrahedra and corners with eight equivalent Ga(2)O4 tetrahedra. In the second Pb site, Pb(2) is bonded in a 3-coordinate geometry to one O(1) and two equivalent O(3) atoms. Ge(1) is bonded to two equivalent O(1) and four equivalent O(6) atoms to form GeO6 octahedra that share corners with four equivalent Ga(3)O4 tetrahedra and edges with four equivalent Ga(1)O6 octahedra. There are six inequivalent O sites. In the first O site, O(3) is bonded in a distorted trigonal planar geometry to one Ga(2), one Ga(3), and one Pb(2) atom. In the second O site, O(4) is bonded in a trigonal planar geometry to one Ga(1), one Ga(2), and one Ga(3) atom. In the third O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Ga(2), one Ga(3), and one Pb(1) atom. In the fourth O site, O(6) is bonded in a trigonal planar geometry to one Ga(1), one Ga(3), and one Ge(1) atom. In the fifth O site, O(1) is bonded to two equivalent Ga(1), one Pb(2), and one Ge(1) atom to form a mixture of distorted edge and corner-sharing OGa2GePb tetrahedra. In the sixth O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Ga(2) and one Pb(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ga10GePb3O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.791
_cell_length_b   9.791
_cell_length_c   5.117
_cell_angle_alpha   74.877
_cell_angle_beta   74.877
_cell_angle_gamma   73.605
_symmetry_Int_Tables_number   1
_cell_volume   444.943
_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
  Ga  Ga0  1  0.633  0.367  0.500  1.0
  Ga  Ga1  1  0.367  0.633  0.500  1.0
  Ga  Ga2  1  0.279  0.007  0.374  1.0
  Ga  Ga3  1  0.993  0.721  0.626  1.0
  Ga  Ga4  1  0.721  0.993  0.626  1.0
  Ga  Ga5  1  0.007  0.279  0.374  1.0
  Ga  Ga6  1  0.578  0.151  0.106  1.0
  Ga  Ga7  1  0.849  0.422  0.894  1.0
  Ga  Ga8  1  0.422  0.849  0.894  1.0
  Ga  Ga9  1  0.151  0.578  0.106  1.0
  Ge  Ge10  1  0.500  0.500  0.000  1.0
  Pb  Pb11  1  0.000  0.000  0.000  1.0
  Pb  Pb12  1  0.723  0.723  0.220  1.0
  Pb  Pb13  1  0.277  0.277  0.780  1.0
  O  O14  1  0.567  0.567  0.250  1.0
  O  O15  1  0.433  0.433  0.750  1.0
  O  O16  1  0.097  0.097  0.305  1.0
  O  O17  1  0.903  0.903  0.695  1.0
  O  O18  1  0.396  0.124  0.132  1.0
  O  O19  1  0.876  0.604  0.868  1.0
  O  O20  1  0.604  0.876  0.868  1.0
  O  O21  1  0.124  0.396  0.132  1.0
  O  O22  1  0.339  0.827  0.271  1.0
  O  O23  1  0.173  0.661  0.729  1.0
  O  O24  1  0.661  0.173  0.729  1.0
  O  O25  1  0.827  0.339  0.271  1.0
  O  O26  1  0.991  0.281  0.738  1.0
  O  O27  1  0.719  0.009  0.262  1.0
  O  O28  1  0.009  0.719  0.262  1.0
  O  O29  1  0.281  0.991  0.738  1.0
  O  O30  1  0.683  0.455  0.759  1.0
  O  O31  1  0.545  0.317  0.241  1.0
  O  O32  1  0.317  0.545  0.241  1.0
  O  O33  1  0.455  0.683  0.759  1.0
[/CIF]
.