The crystal structure described by Th10N9F13 is alpha bismuth trifluoride-derived structured and crystallizes in the tetragonal P-4m2 space group. There are six inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to two equivalent N(1), two equivalent N(3), two equivalent F(5), and two equivalent F(7) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to two equivalent N(2), two equivalent N(4), two equivalent F(4), and two equivalent F(8) atoms. In the third Th site, Th(3) is bonded in a 13-coordinate geometry to two equivalent N(5), two equivalent F(1), two equivalent F(2), two equivalent F(3), and five equivalent F(6) atoms. In the fourth Th site, Th(4) is bonded in a distorted body-centered cubic geometry to two equivalent N(1), two equivalent N(3), two equivalent F(1), and two equivalent F(2) atoms. In the fifth Th site, Th(5) is bonded in a body-centered cubic geometry to two equivalent N(2), two equivalent N(4), two equivalent F(5), and two equivalent F(7) atoms. In the sixth Th site, Th(3) is bonded in a 13-coordinate geometry to two equivalent N(5), two equivalent F(1), two equivalent F(2), two equivalent F(3), and five equivalent F(6) atoms. There are five inequivalent N sites. In the first N site, N(1) is bonded to two equivalent Th(1) and two equivalent Th(4) atoms to form NTh4 tetrahedra that share corners with two equivalent F(2)Th4 tetrahedra, corners with two equivalent F(5)Th4 tetrahedra, corners with four equivalent N(1)Th4 tetrahedra, corners with four equivalent F(1)Th4 tetrahedra, corners with four equivalent F(7)Th4 tetrahedra,  an edgeedge with one F(2)Th4 tetrahedra,  an edgeedge with one F(5)Th4 tetrahedra, and edges with four equivalent N(3)Th4 tetrahedra. In the second N site, N(2) is bonded to two equivalent Th(2) and two equivalent Th(5) atoms to form NTh4 tetrahedra that share corners with two equivalent F(4)Th4 tetrahedra, corners with two equivalent F(5)Th4 tetrahedra, corners with four equivalent N(2)Th4 tetrahedra, corners with four equivalent F(7)Th4 tetrahedra, corners with four equivalent F(8)Th4 tetrahedra,  an edgeedge with one F(4)Th4 tetrahedra,  an edgeedge with one F(5)Th4 tetrahedra, and edges with four equivalent N(4)Th4 tetrahedra. In the third N site, N(3) is bonded to two equivalent Th(1) and two equivalent Th(4) atoms to form NTh4 tetrahedra that share corners with two equivalent F(1)Th4 tetrahedra, corners with two equivalent F(7)Th4 tetrahedra, corners with four equivalent N(3)Th4 tetrahedra, corners with four equivalent F(2)Th4 tetrahedra, corners with four equivalent F(5)Th4 tetrahedra,  an edgeedge with one F(1)Th4 tetrahedra,  an edgeedge with one F(7)Th4 tetrahedra, and edges with four equivalent N(1)Th4 tetrahedra. In the fourth N site, N(4) is bonded to two equivalent Th(2) and two equivalent Th(5) atoms to form NTh4 tetrahedra that share corners with two equivalent F(7)Th4 tetrahedra, corners with two equivalent F(8)Th4 tetrahedra, corners with four equivalent N(4)Th4 tetrahedra, corners with four equivalent F(4)Th4 tetrahedra, corners with four equivalent F(5)Th4 tetrahedra,  an edgeedge with one F(7)Th4 tetrahedra,  an edgeedge with one F(8)Th4 tetrahedra, and edges with four equivalent N(2)Th4 tetrahedra. In the fifth N site, N(5) is bonded to four Th(3,3) atoms to form NTh4 tetrahedra that share corners with four equivalent N(5)Th4 tetrahedra, corners with four equivalent F(1)Th4 tetrahedra, corners with eight equivalent F(2)Th4 tetrahedra, edges with two equivalent F(1)Th4 tetrahedra, and edges with four equivalent F(3)Th4 tetrahedra. There are eight inequivalent F sites. In the first F site, F(1) is bonded to two equivalent Th(3) and two equivalent Th(4) atoms to form FTh4 tetrahedra that share corners with two equivalent N(3)Th4 tetrahedra, corners with two equivalent N(5)Th4 tetrahedra, corners with four equivalent N(1)Th4 tetrahedra, corners with four equivalent F(1)Th4 tetrahedra, corners with four equivalent F(3)Th4 tetrahedra,  an edgeedge with one N(3)Th4 tetrahedra,  an edgeedge with one N(5)Th4 tetrahedra, and edges with four equivalent F(2)Th4 tetrahedra. In the second F site, F(2) is bonded to two equivalent Th(3) and two equivalent Th(4) atoms to form FTh4 tetrahedra that share corners with two equivalent N(1)Th4 tetrahedra, corners with two equivalent F(3)Th4 tetrahedra, corners with four equivalent N(3)Th4 tetrahedra, corners with four equivalent N(5)Th4 tetrahedra, corners with four equivalent F(2)Th4 tetrahedra,  an edgeedge with one N(1)Th4 tetrahedra,  an edgeedge with one F(3)Th4 tetrahedra, and edges with four equivalent F(1)Th4 tetrahedra. In the third F site, F(3) is bonded to four Th(3,3) atoms to form FTh4 tetrahedra that share corners with four equivalent F(2)Th4 tetrahedra, corners with four equivalent F(3)Th4 tetrahedra, corners with eight equivalent F(1)Th4 tetrahedra, edges with two equivalent F(2)Th4 tetrahedra, and edges with four equivalent N(5)Th4 tetrahedra. In the fourth F site, F(4) is bonded to four equivalent Th(2) atoms to form FTh4 tetrahedra that share corners with four equivalent N(2)Th4 tetrahedra, corners with four equivalent F(4)Th4 tetrahedra, corners with eight equivalent N(4)Th4 tetrahedra, edges with two equivalent N(2)Th4 tetrahedra, and edges with four equivalent F(8)Th4 tetrahedra. In the fifth F site, F(5) is bonded to two equivalent Th(1) and two equivalent Th(5) atoms to form FTh4 tetrahedra that share corners with two equivalent N(1)Th4 tetrahedra, corners with two equivalent N(2)Th4 tetrahedra, corners with four equivalent N(3)Th4 tetrahedra, corners with four equivalent N(4)Th4 tetrahedra, corners with four equivalent F(5)Th4 tetrahedra,  an edgeedge with one N(1)Th4 tetrahedra,  an edgeedge with one N(2)Th4 tetrahedra, and edges with four equivalent F(7)Th4 tetrahedra. In the sixth F site, F(6) is bonded in a 5-coordinate geometry to five Th(3,3) atoms. In the seventh F site, F(7) is bonded to two equivalent Th(1) and two equivalent Th(5) atoms to form FTh4 tetrahedra that share corners with two equivalent N(3)Th4 tetrahedra, corners with two equivalent N(4)Th4 tetrahedra, corners with four equivalent N(1)Th4 tetrahedra, corners with four equivalent N(2)Th4 tetrahedra, corners with four equivalent F(7)Th4 tetrahedra,  an edgeedge with one N(3)Th4 tetrahedra,  an edgeedge with one N(4)Th4 tetrahedra, and edges with four equivalent F(5)Th4 tetrahedra. In the eighth F site, F(8) is bonded to four equivalent Th(2) atoms to form FTh4 tetrahedra that share corners with four equivalent N(4)Th4 tetrahedra, corners with four equivalent F(8)Th4 tetrahedra, corners with eight equivalent N(2)Th4 tetrahedra, edges with two equivalent N(4)Th4 tetrahedra, and edges with four equivalent F(4)Th4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Th10N9F13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.063
_cell_length_b   4.063
_cell_length_c   29.445
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   486.035
_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
  Th  Th0  1  0.000  0.500  0.741  1.0
  Th  Th1  1  0.000  0.500  0.941  1.0
  Th  Th2  1  0.000  0.500  0.544  1.0
  Th  Th3  1  0.000  0.500  0.340  1.0
  Th  Th4  1  0.000  0.500  0.140  1.0
  Th  Th5  1  0.500  0.000  0.660  1.0
  Th  Th6  1  0.500  0.000  0.860  1.0
  Th  Th7  1  0.500  0.000  0.059  1.0
  Th  Th8  1  0.500  0.000  0.259  1.0
  Th  Th9  1  0.500  0.000  0.456  1.0
  N  N10  1  0.000  0.000  0.700  1.0
  N  N11  1  0.000  0.000  0.100  1.0
  N  N12  1  0.000  0.000  0.900  1.0
  N  N13  1  0.000  0.000  0.300  1.0
  N  N14  1  0.500  0.500  0.701  1.0
  N  N15  1  0.500  0.500  0.901  1.0
  N  N16  1  0.500  0.500  0.099  1.0
  N  N17  1  0.500  0.500  0.299  1.0
  N  N18  1  0.500  0.500  0.500  1.0
  F  F19  1  0.500  0.500  0.604  1.0
  F  F20  1  0.000  0.000  0.599  1.0
  F  F21  1  0.000  0.000  0.500  1.0
  F  F22  1  0.000  0.000  0.000  1.0
  F  F23  1  0.000  0.000  0.801  1.0
  F  F24  1  0.000  0.000  0.401  1.0
  F  F25  1  0.000  0.000  0.199  1.0
  F  F26  1  0.000  0.500  0.449  1.0
  F  F27  1  0.500  0.500  0.801  1.0
  F  F28  1  0.500  0.000  0.551  1.0
  F  F29  1  0.500  0.500  0.000  1.0
  F  F30  1  0.500  0.500  0.199  1.0
  F  F31  1  0.500  0.500  0.396  1.0
[/CIF]
.
The crystal structure described by Th10N9F13 is alpha bismuth trifluoride-derived structured and crystallizes in the tetragonal P-4m2 space group. There are six inequivalent Th sites. In the first Th site, Th(1) is bonded in a body-centered cubic geometry to two equivalent N(1), two equivalent N(3), two equivalent F(5), and two equivalent F(7) atoms. In the second Th site, Th(2) is bonded in a body-centered cubic geometry to two equivalent N(2), two equivalent N(4), two equivalent F(4), and two equivalent F(8) atoms. In the third Th site, Th(3) is bonded in a 13-coordinate geometry to two equivalent N(5), two equivalent F(1), two equivalent F(2), two equivalent F(3), and five equivalent F(6) atoms. In the fourth Th site, Th(4) is bonded in a distorted body-centered cubic geometry to two equivalent N(1), two equivalent N(3), two equivalent F(1), and two equivalent F(2) atoms. In the fifth Th site, Th(5) is bonded in a body-centered cubic geometry to two equivalent N(2), two equivalent N(4), two equivalent F(5), and two equivalent F(7) atoms. In the sixth Th site, Th(3) is bonded in a 13-coordinate geometry to two equivalent N(5), two equivalent F(1), two equivalent F(2), two equivalent F(3), and five equivalent F(6) atoms. There are five inequivalent N sites. In the first N site, N(1) is bonded to two equivalent Th(1) and two equivalent Th(4) atoms to form NTh4 tetrahedra that share corners with two equivalent F(2)Th4 tetrahedra, corners with two equivalent F(5)Th4 tetrahedra, corners with four equivalent N(1)Th4 tetrahedra, corners with four equivalent F(1)Th4 tetrahedra, corners with four equivalent F(7)Th4 tetrahedra,  an edgeedge with one F(2)Th4 tetrahedra,  an edgeedge with one F(5)Th4 tetrahedra, and edges with four equivalent N(3)Th4 tetrahedra. In the second N site, N(2) is bonded to two equivalent Th(2) and two equivalent Th(5) atoms to form NTh4 tetrahedra that share corners with two equivalent F(4)Th4 tetrahedra, corners with two equivalent F(5)Th4 tetrahedra, corners with four equivalent N(2)Th4 tetrahedra, corners with four equivalent F(7)Th4 tetrahedra, corners with four equivalent F(8)Th4 tetrahedra,  an edgeedge with one F(4)Th4 tetrahedra,  an edgeedge with one F(5)Th4 tetrahedra, and edges with four equivalent N(4)Th4 tetrahedra. In the third N site, N(3) is bonded to two equivalent Th(1) and two equivalent Th(4) atoms to form NTh4 tetrahedra that share corners with two equivalent F(1)Th4 tetrahedra, corners with two equivalent F(7)Th4 tetrahedra, corners with four equivalent N(3)Th4 tetrahedra, corners with four equivalent F(2)Th4 tetrahedra, corners with four equivalent F(5)Th4 tetrahedra,  an edgeedge with one F(1)Th4 tetrahedra,  an edgeedge with one F(7)Th4 tetrahedra, and edges with four equivalent N(1)Th4 tetrahedra. In the fourth N site, N(4) is bonded to two equivalent Th(2) and two equivalent Th(5) atoms to form NTh4 tetrahedra that share corners with two equivalent F(7)Th4 tetrahedra, corners with two equivalent F(8)Th4 tetrahedra, corners with four equivalent N(4)Th4 tetrahedra, corners with four equivalent F(4)Th4 tetrahedra, corners with four equivalent F(5)Th4 tetrahedra,  an edgeedge with one F(7)Th4 tetrahedra,  an edgeedge with one F(8)Th4 tetrahedra, and edges with four equivalent N(2)Th4 tetrahedra. In the fifth N site, N(5) is bonded to four Th(3,3) atoms to form NTh4 tetrahedra that share corners with four equivalent N(5)Th4 tetrahedra, corners with four equivalent F(1)Th4 tetrahedra, corners with eight equivalent F(2)Th4 tetrahedra, edges with two equivalent F(1)Th4 tetrahedra, and edges with four equivalent F(3)Th4 tetrahedra. There are eight inequivalent F sites. In the first F site, F(1) is bonded to two equivalent Th(3) and two equivalent Th(4) atoms to form FTh4 tetrahedra that share corners with two equivalent N(3)Th4 tetrahedra, corners with two equivalent N(5)Th4 tetrahedra, corners with four equivalent N(1)Th4 tetrahedra, corners with four equivalent F(1)Th4 tetrahedra, corners with four equivalent F(3)Th4 tetrahedra,  an edgeedge with one N(3)Th4 tetrahedra,  an edgeedge with one N(5)Th4 tetrahedra, and edges with four equivalent F(2)Th4 tetrahedra. In the second F site, F(2) is bonded to two equivalent Th(3) and two equivalent Th(4) atoms to form FTh4 tetrahedra that share corners with two equivalent N(1)Th4 tetrahedra, corners with two equivalent F(3)Th4 tetrahedra, corners with four equivalent N(3)Th4 tetrahedra, corners with four equivalent N(5)Th4 tetrahedra, corners with four equivalent F(2)Th4 tetrahedra,  an edgeedge with one N(1)Th4 tetrahedra,  an edgeedge with one F(3)Th4 tetrahedra, and edges with four equivalent F(1)Th4 tetrahedra. In the third F site, F(3) is bonded to four Th(3,3) atoms to form FTh4 tetrahedra that share corners with four equivalent F(2)Th4 tetrahedra, corners with four equivalent F(3)Th4 tetrahedra, corners with eight equivalent F(1)Th4 tetrahedra, edges with two equivalent F(2)Th4 tetrahedra, and edges with four equivalent N(5)Th4 tetrahedra. In the fourth F site, F(4) is bonded to four equivalent Th(2) atoms to form FTh4 tetrahedra that share corners with four equivalent N(2)Th4 tetrahedra, corners with four equivalent F(4)Th4 tetrahedra, corners with eight equivalent N(4)Th4 tetrahedra, edges with two equivalent N(2)Th4 tetrahedra, and edges with four equivalent F(8)Th4 tetrahedra. In the fifth F site, F(5) is bonded to two equivalent Th(1) and two equivalent Th(5) atoms to form FTh4 tetrahedra that share corners with two equivalent N(1)Th4 tetrahedra, corners with two equivalent N(2)Th4 tetrahedra, corners with four equivalent N(3)Th4 tetrahedra, corners with four equivalent N(4)Th4 tetrahedra, corners with four equivalent F(5)Th4 tetrahedra,  an edgeedge with one N(1)Th4 tetrahedra,  an edgeedge with one N(2)Th4 tetrahedra, and edges with four equivalent F(7)Th4 tetrahedra. In the sixth F site, F(6) is bonded in a 5-coordinate geometry to five Th(3,3) atoms. In the seventh F site, F(7) is bonded to two equivalent Th(1) and two equivalent Th(5) atoms to form FTh4 tetrahedra that share corners with two equivalent N(3)Th4 tetrahedra, corners with two equivalent N(4)Th4 tetrahedra, corners with four equivalent N(1)Th4 tetrahedra, corners with four equivalent N(2)Th4 tetrahedra, corners with four equivalent F(7)Th4 tetrahedra,  an edgeedge with one N(3)Th4 tetrahedra,  an edgeedge with one N(4)Th4 tetrahedra, and edges with four equivalent F(5)Th4 tetrahedra. In the eighth F site, F(8) is bonded to four equivalent Th(2) atoms to form FTh4 tetrahedra that share corners with four equivalent N(4)Th4 tetrahedra, corners with four equivalent F(8)Th4 tetrahedra, corners with eight equivalent N(2)Th4 tetrahedra, edges with two equivalent N(4)Th4 tetrahedra, and edges with four equivalent F(4)Th4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Th10N9F13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.063
_cell_length_b   4.063
_cell_length_c   29.445
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   486.035
_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
  Th  Th0  1  0.000  0.500  0.741  1.0
  Th  Th1  1  0.000  0.500  0.941  1.0
  Th  Th2  1  0.000  0.500  0.544  1.0
  Th  Th3  1  0.000  0.500  0.340  1.0
  Th  Th4  1  0.000  0.500  0.140  1.0
  Th  Th5  1  0.500  0.000  0.660  1.0
  Th  Th6  1  0.500  0.000  0.860  1.0
  Th  Th7  1  0.500  0.000  0.059  1.0
  Th  Th8  1  0.500  0.000  0.259  1.0
  Th  Th9  1  0.500  0.000  0.456  1.0
  N  N10  1  0.000  0.000  0.700  1.0
  N  N11  1  0.000  0.000  0.100  1.0
  N  N12  1  0.000  0.000  0.900  1.0
  N  N13  1  0.000  0.000  0.300  1.0
  N  N14  1  0.500  0.500  0.701  1.0
  N  N15  1  0.500  0.500  0.901  1.0
  N  N16  1  0.500  0.500  0.099  1.0
  N  N17  1  0.500  0.500  0.299  1.0
  N  N18  1  0.500  0.500  0.500  1.0
  F  F19  1  0.500  0.500  0.604  1.0
  F  F20  1  0.000  0.000  0.599  1.0
  F  F21  1  0.000  0.000  0.500  1.0
  F  F22  1  0.000  0.000  0.000  1.0
  F  F23  1  0.000  0.000  0.801  1.0
  F  F24  1  0.000  0.000  0.401  1.0
  F  F25  1  0.000  0.000  0.199  1.0
  F  F26  1  0.000  0.500  0.449  1.0
  F  F27  1  0.500  0.500  0.801  1.0
  F  F28  1  0.500  0.000  0.551  1.0
  F  F29  1  0.500  0.500  0.000  1.0
  F  F30  1  0.500  0.500  0.199  1.0
  F  F31  1  0.500  0.500  0.396  1.0
[/CIF]
.