The material structure described by Ca10(Al2Ge3)3 crystallizes in the trigonal R-3m space group. There are five inequivalent Ca sites. In the first Ca site, Ca(1) is bonded in a 4-coordinate geometry to two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms. In the second Ca site, Ca(2) is bonded in a distorted see-saw-like geometry to two equivalent Al(2), two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms. In the third Ca site, Ca(3) is bonded in a 7-coordinate geometry to two equivalent Al(2), one Ge(3), two equivalent Ge(1), and two equivalent Ge(2) atoms. In the fourth Ca site, Ca(4) is bonded to six equivalent Al(1) and six equivalent Ge(3) atoms to form distorted CaAl6Ge6 cuboctahedra that share edges with six equivalent Al(1)CaGe4 tetrahedra. In the fifth Ca site, Ca(5) is bonded in a distorted cuboctahedral geometry to six equivalent Al(2) and six equivalent Ge(2) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one Ca(4), two equivalent Ge(1), and two equivalent Ge(3) atoms to form distorted AlCaGe4 tetrahedra that share corners with three equivalent Al(1)CaGe4 tetrahedra,  an edgeedge with one Ca(4)Al6Ge6 cuboctahedra, and edges with three equivalent Al(1)CaGe4 tetrahedra. In the second Al site, Al(2) is bonded in a 10-coordinate geometry to one Ca(5), two equivalent Ca(2), two equivalent Ca(3), two equivalent Al(2), one Ge(1), and two equivalent Ge(2) atoms. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Ca(1), two equivalent Ca(2), two equivalent Ca(3), one Al(2), and two equivalent Al(1) atoms. In the second Ge site, Ge(2) is bonded in a 9-coordinate geometry to one Ca(5), two equivalent Ca(1), two equivalent Ca(2), two equivalent Ca(3), and two equivalent Al(2) atoms. In the third Ge site, Ge(3) is bonded in a 8-coordinate geometry to one Ca(3), one Ca(4), two equivalent Ca(1), two equivalent Ca(2), and two equivalent Al(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ca10(Al2Ge3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.711
_cell_length_b   10.711
_cell_length_c   10.711
_cell_angle_alpha   81.372
_cell_angle_beta   81.372
_cell_angle_gamma   81.372
_symmetry_Int_Tables_number   1
_cell_volume   1190.840
_cell_formula_units_Z   2
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
  Ca  Ca0  1  0.793  0.207  0.500  1.0
  Ca  Ca1  1  0.207  0.500  0.793  1.0
  Ca  Ca2  1  0.291  0.709  0.000  1.0
  Ca  Ca3  1  0.793  0.500  0.207  1.0
  Ca  Ca4  1  0.000  0.291  0.709  1.0
  Ca  Ca5  1  0.656  0.947  0.656  1.0
  Ca  Ca6  1  0.344  0.344  0.053  1.0
  Ca  Ca7  1  0.000  0.709  0.291  1.0
  Ca  Ca8  1  0.344  0.053  0.344  1.0
  Ca  Ca9  1  0.947  0.656  0.656  1.0
  Ca  Ca10  1  0.207  0.793  0.500  1.0
  Ca  Ca11  1  0.500  0.793  0.207  1.0
  Ca  Ca12  1  0.053  0.344  0.344  1.0
  Ca  Ca13  1  0.000  0.000  0.000  1.0
  Ca  Ca14  1  0.709  0.291  0.000  1.0
  Ca  Ca15  1  0.656  0.656  0.947  1.0
  Ca  Ca16  1  0.500  0.500  0.500  1.0
  Ca  Ca17  1  0.291  0.000  0.709  1.0
  Ca  Ca18  1  0.500  0.207  0.793  1.0
  Ca  Ca19  1  0.709  0.000  0.291  1.0
  Al  Al20  1  0.031  0.031  0.318  1.0
  Al  Al21  1  0.285  0.285  0.500  1.0
  Al  Al22  1  0.715  0.500  0.715  1.0
  Al  Al23  1  0.318  0.031  0.031  1.0
  Al  Al24  1  0.682  0.969  0.969  1.0
  Al  Al25  1  0.285  0.500  0.285  1.0
  Al  Al26  1  0.500  0.715  0.715  1.0
  Al  Al27  1  0.969  0.969  0.682  1.0
  Al  Al28  1  0.715  0.715  0.500  1.0
  Al  Al29  1  0.500  0.285  0.285  1.0
  Al  Al30  1  0.031  0.318  0.031  1.0
  Al  Al31  1  0.969  0.682  0.969  1.0
  Ge  Ge32  1  0.109  0.514  0.109  1.0
  Ge  Ge33  1  0.513  0.186  0.513  1.0
  Ge  Ge34  1  0.186  0.513  0.513  1.0
  Ge  Ge35  1  0.891  0.891  0.486  1.0
  Ge  Ge36  1  0.205  0.884  0.205  1.0
  Ge  Ge37  1  0.487  0.814  0.487  1.0
  Ge  Ge38  1  0.116  0.795  0.795  1.0
  Ge  Ge39  1  0.486  0.891  0.891  1.0
  Ge  Ge40  1  0.514  0.109  0.109  1.0
  Ge  Ge41  1  0.884  0.205  0.205  1.0
  Ge  Ge42  1  0.109  0.109  0.514  1.0
  Ge  Ge43  1  0.795  0.795  0.116  1.0
  Ge  Ge44  1  0.795  0.116  0.795  1.0
  Ge  Ge45  1  0.891  0.486  0.891  1.0
  Ge  Ge46  1  0.487  0.487  0.814  1.0
  Ge  Ge47  1  0.513  0.513  0.186  1.0
  Ge  Ge48  1  0.205  0.205  0.884  1.0
  Ge  Ge49  1  0.814  0.487  0.487  1.0
[/CIF]
.
The material structure described by Ca10(Al2Ge3)3 crystallizes in the trigonal R-3m space group. There are five inequivalent Ca sites. In the first Ca site, Ca(1) is bonded in a 4-coordinate geometry to two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms. In the second Ca site, Ca(2) is bonded in a distorted see-saw-like geometry to two equivalent Al(2), two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms. In the third Ca site, Ca(3) is bonded in a 7-coordinate geometry to two equivalent Al(2), one Ge(3), two equivalent Ge(1), and two equivalent Ge(2) atoms. In the fourth Ca site, Ca(4) is bonded to six equivalent Al(1) and six equivalent Ge(3) atoms to form distorted CaAl6Ge6 cuboctahedra that share edges with six equivalent Al(1)CaGe4 tetrahedra. In the fifth Ca site, Ca(5) is bonded in a distorted cuboctahedral geometry to six equivalent Al(2) and six equivalent Ge(2) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one Ca(4), two equivalent Ge(1), and two equivalent Ge(3) atoms to form distorted AlCaGe4 tetrahedra that share corners with three equivalent Al(1)CaGe4 tetrahedra,  an edgeedge with one Ca(4)Al6Ge6 cuboctahedra, and edges with three equivalent Al(1)CaGe4 tetrahedra. In the second Al site, Al(2) is bonded in a 10-coordinate geometry to one Ca(5), two equivalent Ca(2), two equivalent Ca(3), two equivalent Al(2), one Ge(1), and two equivalent Ge(2) atoms. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to two equivalent Ca(1), two equivalent Ca(2), two equivalent Ca(3), one Al(2), and two equivalent Al(1) atoms. In the second Ge site, Ge(2) is bonded in a 9-coordinate geometry to one Ca(5), two equivalent Ca(1), two equivalent Ca(2), two equivalent Ca(3), and two equivalent Al(2) atoms. In the third Ge site, Ge(3) is bonded in a 8-coordinate geometry to one Ca(3), one Ca(4), two equivalent Ca(1), two equivalent Ca(2), and two equivalent Al(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ca10(Al2Ge3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.711
_cell_length_b   10.711
_cell_length_c   10.711
_cell_angle_alpha   81.372
_cell_angle_beta   81.372
_cell_angle_gamma   81.372
_symmetry_Int_Tables_number   1
_cell_volume   1190.840
_cell_formula_units_Z   2
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
  Ca  Ca0  1  0.793  0.207  0.500  1.0
  Ca  Ca1  1  0.207  0.500  0.793  1.0
  Ca  Ca2  1  0.291  0.709  0.000  1.0
  Ca  Ca3  1  0.793  0.500  0.207  1.0
  Ca  Ca4  1  0.000  0.291  0.709  1.0
  Ca  Ca5  1  0.656  0.947  0.656  1.0
  Ca  Ca6  1  0.344  0.344  0.053  1.0
  Ca  Ca7  1  0.000  0.709  0.291  1.0
  Ca  Ca8  1  0.344  0.053  0.344  1.0
  Ca  Ca9  1  0.947  0.656  0.656  1.0
  Ca  Ca10  1  0.207  0.793  0.500  1.0
  Ca  Ca11  1  0.500  0.793  0.207  1.0
  Ca  Ca12  1  0.053  0.344  0.344  1.0
  Ca  Ca13  1  0.000  0.000  0.000  1.0
  Ca  Ca14  1  0.709  0.291  0.000  1.0
  Ca  Ca15  1  0.656  0.656  0.947  1.0
  Ca  Ca16  1  0.500  0.500  0.500  1.0
  Ca  Ca17  1  0.291  0.000  0.709  1.0
  Ca  Ca18  1  0.500  0.207  0.793  1.0
  Ca  Ca19  1  0.709  0.000  0.291  1.0
  Al  Al20  1  0.031  0.031  0.318  1.0
  Al  Al21  1  0.285  0.285  0.500  1.0
  Al  Al22  1  0.715  0.500  0.715  1.0
  Al  Al23  1  0.318  0.031  0.031  1.0
  Al  Al24  1  0.682  0.969  0.969  1.0
  Al  Al25  1  0.285  0.500  0.285  1.0
  Al  Al26  1  0.500  0.715  0.715  1.0
  Al  Al27  1  0.969  0.969  0.682  1.0
  Al  Al28  1  0.715  0.715  0.500  1.0
  Al  Al29  1  0.500  0.285  0.285  1.0
  Al  Al30  1  0.031  0.318  0.031  1.0
  Al  Al31  1  0.969  0.682  0.969  1.0
  Ge  Ge32  1  0.109  0.514  0.109  1.0
  Ge  Ge33  1  0.513  0.186  0.513  1.0
  Ge  Ge34  1  0.186  0.513  0.513  1.0
  Ge  Ge35  1  0.891  0.891  0.486  1.0
  Ge  Ge36  1  0.205  0.884  0.205  1.0
  Ge  Ge37  1  0.487  0.814  0.487  1.0
  Ge  Ge38  1  0.116  0.795  0.795  1.0
  Ge  Ge39  1  0.486  0.891  0.891  1.0
  Ge  Ge40  1  0.514  0.109  0.109  1.0
  Ge  Ge41  1  0.884  0.205  0.205  1.0
  Ge  Ge42  1  0.109  0.109  0.514  1.0
  Ge  Ge43  1  0.795  0.795  0.116  1.0
  Ge  Ge44  1  0.795  0.116  0.795  1.0
  Ge  Ge45  1  0.891  0.486  0.891  1.0
  Ge  Ge46  1  0.487  0.487  0.814  1.0
  Ge  Ge47  1  0.513  0.513  0.186  1.0
  Ge  Ge48  1  0.205  0.205  0.884  1.0
  Ge  Ge49  1  0.814  0.487  0.487  1.0
[/CIF]
.