The material structure described by Cd5(SiO5)2 crystallizes in the monoclinic P2_1/c space group. There are six inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(8) atoms to form CdO6 octahedra that share corners with four equivalent Cd(3)O6 octahedra, corners with two equivalent Si(1)O4 tetrahedra, edges with two equivalent Cd(3)O6 octahedra, edges with two equivalent Cd(6)O6 octahedra, and edges with two equivalent Si(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 60-71°. In the second Cd site, Cd(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(7) atoms to form CdO6 octahedra that share corners with four equivalent Cd(4)O6 octahedra, corners with two equivalent Si(2)O4 tetrahedra, edges with two equivalent Cd(4)O6 octahedra, edges with two equivalent Cd(5)O6 octahedra, and edges with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 61-71°. In the third Cd site, Cd(3) is bonded to one O(1), one O(3), one O(8), one O(9), and two equivalent O(5) atoms to form distorted CdO6 octahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra, corners with three equivalent Si(1)O4 tetrahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and  an edgeedge with one Si(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-71°. In the fourth Cd site, Cd(4) is bonded to one O(10), one O(2), one O(4), one O(7), and two equivalent O(6) atoms to form distorted CdO6 octahedra that share corners with two equivalent Cd(2)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra, corners with three equivalent Si(2)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and  an edgeedge with one Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-71°. In the fifth Cd site, Cd(5) is bonded to one O(1), one O(10), one O(2), one O(4), one O(7), and one O(9) atom to form distorted CdO6 octahedra that share corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and  an edgeedge with one Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-67°. In the sixth Cd site, Cd(6) is bonded to one O(1), one O(10), one O(2), one O(3), one O(8), and one O(9) atom to form distorted CdO6 octahedra that share corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and  an edgeedge with one Si(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-67°. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(1), one O(3), one O(5), and one O(8) atom to form SiO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with three equivalent Cd(3)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra, and  an edgeedge with one Cd(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-61°. In the second Si site, Si(2) is bonded to one O(2), one O(4), one O(6), and one O(7) atom to form SiO4 tetrahedra that share  a cornercorner with one Cd(2)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with three equivalent Cd(4)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and  an edgeedge with one Cd(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-61°. There are ten inequivalent O sites. In the first O site, O(2) is bonded in a 4-coordinate geometry to one Cd(4), one Cd(5), one Cd(6), and one Si(2) atom. In the second O site, O(10) is bonded in a distorted trigonal planar geometry to one Cd(4), one Cd(5), and one Cd(6) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Cd(1), one Cd(3), one Cd(6), and one Si(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cd(2), one Cd(4), one Cd(5), and one Si(2) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Cd(1), two equivalent Cd(3), and one Si(1) atom. In the sixth O site, O(9) is bonded in a trigonal planar geometry to one Cd(3), one Cd(5), and one Cd(6) atom. In the seventh O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Cd(2), two equivalent Cd(4), and one Si(2) atom. In the eighth O site, O(7) is bonded in a 4-coordinate geometry to one Cd(2), one Cd(4), one Cd(5), and one Si(2) atom. In the ninth O site, O(8) is bonded in a 4-coordinate geometry to one Cd(1), one Cd(3), one Cd(6), and one Si(1) atom. In the tenth O site, O(1) is bonded in a 4-coordinate geometry to one Cd(3), one Cd(5), one Cd(6), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Cd5(SiO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.013
_cell_length_b   8.743
_cell_length_c   11.412
_cell_angle_alpha   108.583
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   474.087
_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
  Cd  Cd0  1  0.500  0.000  0.500  1.0
  Cd  Cd1  1  0.000  0.000  0.000  1.0
  Cd  Cd2  1  0.512  0.800  0.167  1.0
  Cd  Cd3  1  0.012  0.200  0.333  1.0
  Cd  Cd4  1  0.488  0.200  0.833  1.0
  Cd  Cd5  1  0.988  0.800  0.667  1.0
  Cd  Cd6  1  0.018  0.424  0.115  1.0
  Cd  Cd7  1  0.518  0.576  0.385  1.0
  Cd  Cd8  1  0.982  0.576  0.885  1.0
  Cd  Cd9  1  0.482  0.424  0.615  1.0
  O  O10  1  0.216  0.640  0.253  1.0
  O  O11  1  0.716  0.360  0.247  1.0
  O  O12  1  0.784  0.360  0.747  1.0
  O  O13  1  0.284  0.640  0.753  1.0
  O  O14  1  0.298  0.804  0.991  1.0
  O  O15  1  0.798  0.196  0.509  1.0
  O  O16  1  0.702  0.196  0.009  1.0
  O  O17  1  0.202  0.804  0.491  1.0
  O  O18  1  0.205  0.956  0.325  1.0
  O  O19  1  0.705  0.044  0.175  1.0
  O  O20  1  0.795  0.044  0.675  1.0
  O  O21  1  0.295  0.956  0.825  1.0
  O  O22  1  0.252  0.208  0.648  1.0
  O  O23  1  0.752  0.792  0.852  1.0
  O  O24  1  0.748  0.792  0.352  1.0
  O  O25  1  0.248  0.208  0.148  1.0
  O  O26  1  0.736  0.583  0.050  1.0
  O  O27  1  0.236  0.417  0.450  1.0
  O  O28  1  0.264  0.417  0.950  1.0
  O  O29  1  0.764  0.583  0.550  1.0
  Si  Si30  1  0.075  0.798  0.355  1.0
  Si  Si31  1  0.575  0.202  0.145  1.0
  Si  Si32  1  0.925  0.202  0.645  1.0
  Si  Si33  1  0.425  0.798  0.855  1.0
[/CIF]
.
The material structure described by Cd5(SiO5)2 crystallizes in the monoclinic P2_1/c space group. There are six inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(8) atoms to form CdO6 octahedra that share corners with four equivalent Cd(3)O6 octahedra, corners with two equivalent Si(1)O4 tetrahedra, edges with two equivalent Cd(3)O6 octahedra, edges with two equivalent Cd(6)O6 octahedra, and edges with two equivalent Si(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 60-71°. In the second Cd site, Cd(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(7) atoms to form CdO6 octahedra that share corners with four equivalent Cd(4)O6 octahedra, corners with two equivalent Si(2)O4 tetrahedra, edges with two equivalent Cd(4)O6 octahedra, edges with two equivalent Cd(5)O6 octahedra, and edges with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 61-71°. In the third Cd site, Cd(3) is bonded to one O(1), one O(3), one O(8), one O(9), and two equivalent O(5) atoms to form distorted CdO6 octahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra, corners with three equivalent Si(1)O4 tetrahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and  an edgeedge with one Si(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-71°. In the fourth Cd site, Cd(4) is bonded to one O(10), one O(2), one O(4), one O(7), and two equivalent O(6) atoms to form distorted CdO6 octahedra that share corners with two equivalent Cd(2)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra, corners with three equivalent Si(2)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and  an edgeedge with one Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-71°. In the fifth Cd site, Cd(5) is bonded to one O(1), one O(10), one O(2), one O(4), one O(7), and one O(9) atom to form distorted CdO6 octahedra that share corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and  an edgeedge with one Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-67°. In the sixth Cd site, Cd(6) is bonded to one O(1), one O(10), one O(2), one O(3), one O(8), and one O(9) atom to form distorted CdO6 octahedra that share corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and  an edgeedge with one Si(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-67°. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(1), one O(3), one O(5), and one O(8) atom to form SiO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with three equivalent Cd(3)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra, and  an edgeedge with one Cd(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-61°. In the second Si site, Si(2) is bonded to one O(2), one O(4), one O(6), and one O(7) atom to form SiO4 tetrahedra that share  a cornercorner with one Cd(2)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with three equivalent Cd(4)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and  an edgeedge with one Cd(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-61°. There are ten inequivalent O sites. In the first O site, O(2) is bonded in a 4-coordinate geometry to one Cd(4), one Cd(5), one Cd(6), and one Si(2) atom. In the second O site, O(10) is bonded in a distorted trigonal planar geometry to one Cd(4), one Cd(5), and one Cd(6) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Cd(1), one Cd(3), one Cd(6), and one Si(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cd(2), one Cd(4), one Cd(5), and one Si(2) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Cd(1), two equivalent Cd(3), and one Si(1) atom. In the sixth O site, O(9) is bonded in a trigonal planar geometry to one Cd(3), one Cd(5), and one Cd(6) atom. In the seventh O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Cd(2), two equivalent Cd(4), and one Si(2) atom. In the eighth O site, O(7) is bonded in a 4-coordinate geometry to one Cd(2), one Cd(4), one Cd(5), and one Si(2) atom. In the ninth O site, O(8) is bonded in a 4-coordinate geometry to one Cd(1), one Cd(3), one Cd(6), and one Si(1) atom. In the tenth O site, O(1) is bonded in a 4-coordinate geometry to one Cd(3), one Cd(5), one Cd(6), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Cd5(SiO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.013
_cell_length_b   8.743
_cell_length_c   11.412
_cell_angle_alpha   108.583
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   474.087
_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
  Cd  Cd0  1  0.500  0.000  0.500  1.0
  Cd  Cd1  1  0.000  0.000  0.000  1.0
  Cd  Cd2  1  0.512  0.800  0.167  1.0
  Cd  Cd3  1  0.012  0.200  0.333  1.0
  Cd  Cd4  1  0.488  0.200  0.833  1.0
  Cd  Cd5  1  0.988  0.800  0.667  1.0
  Cd  Cd6  1  0.018  0.424  0.115  1.0
  Cd  Cd7  1  0.518  0.576  0.385  1.0
  Cd  Cd8  1  0.982  0.576  0.885  1.0
  Cd  Cd9  1  0.482  0.424  0.615  1.0
  O  O10  1  0.216  0.640  0.253  1.0
  O  O11  1  0.716  0.360  0.247  1.0
  O  O12  1  0.784  0.360  0.747  1.0
  O  O13  1  0.284  0.640  0.753  1.0
  O  O14  1  0.298  0.804  0.991  1.0
  O  O15  1  0.798  0.196  0.509  1.0
  O  O16  1  0.702  0.196  0.009  1.0
  O  O17  1  0.202  0.804  0.491  1.0
  O  O18  1  0.205  0.956  0.325  1.0
  O  O19  1  0.705  0.044  0.175  1.0
  O  O20  1  0.795  0.044  0.675  1.0
  O  O21  1  0.295  0.956  0.825  1.0
  O  O22  1  0.252  0.208  0.648  1.0
  O  O23  1  0.752  0.792  0.852  1.0
  O  O24  1  0.748  0.792  0.352  1.0
  O  O25  1  0.248  0.208  0.148  1.0
  O  O26  1  0.736  0.583  0.050  1.0
  O  O27  1  0.236  0.417  0.450  1.0
  O  O28  1  0.264  0.417  0.950  1.0
  O  O29  1  0.764  0.583  0.550  1.0
  Si  Si30  1  0.075  0.798  0.355  1.0
  Si  Si31  1  0.575  0.202  0.145  1.0
  Si  Si32  1  0.925  0.202  0.645  1.0
  Si  Si33  1  0.425  0.798  0.855  1.0
[/CIF]
.