The crystal structure described by LuTa5Ag2O15 crystallizes in the tetragonal P4/mbm space group. Lu(1) is bonded to four equivalent O(1) and eight equivalent O(4) atoms to form LuO12 cuboctahedra that share faces with two equivalent Lu(1)O12 cuboctahedra and faces with eight equivalent Ta(2)O6 octahedra. There are two inequivalent Ta sites. In the first Ta site, Ta(1) is bonded to two equivalent O(3) and four equivalent O(5) atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedral tilt angles range from 0-32°. In the second Ta site, Ta(2) is bonded to one O(2), one O(5), two equivalent O(1), and two equivalent O(4) atoms to form TaO6 octahedra that share  a cornercorner with one Ta(1)O6 octahedra, corners with five equivalent Ta(2)O6 octahedra, and faces with two equivalent Lu(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 13-43°. Ag(1) is bonded in an L-shaped geometry to two equivalent O(2) atoms. There are five inequivalent O sites. In the first O site, O(5) is bonded in a bent 150 degrees geometry to one Ta(1) and one Ta(2) atom. In the second O site, O(1) is bonded in a distorted T-shaped geometry to one Lu(1) and two equivalent Ta(2) atoms. In the third O site, O(2) is bonded in a 4-coordinate geometry to two equivalent Ta(2) and two equivalent Ag(1) atoms. In the fourth O site, O(3) is bonded in a linear geometry to two equivalent Ta(1) atoms. In the fifth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Lu(1) and two equivalent Ta(2) atoms. is represented by the CIF card [CIF]
data_LuTa5Ag2O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.574
_cell_length_b   12.574
_cell_length_c   3.912
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   618.590
_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
  Lu  Lu0  1  0.000  0.000  0.500  1.0
  Lu  Lu1  1  0.500  0.500  0.500  1.0
  Ta  Ta2  1  0.500  0.000  0.000  1.0
  Ta  Ta3  1  0.000  0.500  0.000  1.0
  Ta  Ta4  1  0.210  0.079  0.000  1.0
  Ta  Ta5  1  0.790  0.921  0.000  1.0
  Ta  Ta6  1  0.079  0.790  0.000  1.0
  Ta  Ta7  1  0.710  0.421  0.000  1.0
  Ta  Ta8  1  0.921  0.210  0.000  1.0
  Ta  Ta9  1  0.290  0.579  0.000  1.0
  Ta  Ta10  1  0.579  0.710  0.000  1.0
  Ta  Ta11  1  0.421  0.290  0.000  1.0
  Ag  Ag12  1  0.672  0.172  0.500  1.0
  Ag  Ag13  1  0.328  0.828  0.500  1.0
  Ag  Ag14  1  0.172  0.328  0.500  1.0
  Ag  Ag15  1  0.828  0.672  0.500  1.0
  O  O16  1  0.188  0.080  0.500  1.0
  O  O17  1  0.812  0.920  0.500  1.0
  O  O18  1  0.080  0.812  0.500  1.0
  O  O19  1  0.688  0.420  0.500  1.0
  O  O20  1  0.920  0.188  0.500  1.0
  O  O21  1  0.312  0.580  0.500  1.0
  O  O22  1  0.580  0.688  0.500  1.0
  O  O23  1  0.420  0.312  0.500  1.0
  O  O24  1  0.225  0.725  0.000  1.0
  O  O25  1  0.775  0.275  0.000  1.0
  O  O26  1  0.725  0.775  0.000  1.0
  O  O27  1  0.275  0.225  0.000  1.0
  O  O28  1  0.500  0.000  0.500  1.0
  O  O29  1  0.000  0.500  0.500  1.0
  O  O30  1  0.056  0.129  0.000  1.0
  O  O31  1  0.944  0.871  0.000  1.0
  O  O32  1  0.129  0.944  0.000  1.0
  O  O33  1  0.556  0.371  0.000  1.0
  O  O34  1  0.871  0.056  0.000  1.0
  O  O35  1  0.444  0.629  0.000  1.0
  O  O36  1  0.629  0.556  0.000  1.0
  O  O37  1  0.371  0.444  0.000  1.0
  O  O38  1  0.341  0.999  0.000  1.0
  O  O39  1  0.659  0.001  0.000  1.0
  O  O40  1  0.999  0.659  0.000  1.0
  O  O41  1  0.841  0.501  0.000  1.0
  O  O42  1  0.001  0.341  0.000  1.0
  O  O43  1  0.159  0.499  0.000  1.0
  O  O44  1  0.499  0.841  0.000  1.0
  O  O45  1  0.501  0.159  0.000  1.0
[/CIF]
.
The crystal structure described by LuTa5Ag2O15 crystallizes in the tetragonal P4/mbm space group. Lu(1) is bonded to four equivalent O(1) and eight equivalent O(4) atoms to form LuO12 cuboctahedra that share faces with two equivalent Lu(1)O12 cuboctahedra and faces with eight equivalent Ta(2)O6 octahedra. There are two inequivalent Ta sites. In the first Ta site, Ta(1) is bonded to two equivalent O(3) and four equivalent O(5) atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedral tilt angles range from 0-32°. In the second Ta site, Ta(2) is bonded to one O(2), one O(5), two equivalent O(1), and two equivalent O(4) atoms to form TaO6 octahedra that share  a cornercorner with one Ta(1)O6 octahedra, corners with five equivalent Ta(2)O6 octahedra, and faces with two equivalent Lu(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 13-43°. Ag(1) is bonded in an L-shaped geometry to two equivalent O(2) atoms. There are five inequivalent O sites. In the first O site, O(5) is bonded in a bent 150 degrees geometry to one Ta(1) and one Ta(2) atom. In the second O site, O(1) is bonded in a distorted T-shaped geometry to one Lu(1) and two equivalent Ta(2) atoms. In the third O site, O(2) is bonded in a 4-coordinate geometry to two equivalent Ta(2) and two equivalent Ag(1) atoms. In the fourth O site, O(3) is bonded in a linear geometry to two equivalent Ta(1) atoms. In the fifth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Lu(1) and two equivalent Ta(2) atoms. is represented by the CIF card [CIF]
data_LuTa5Ag2O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.574
_cell_length_b   12.574
_cell_length_c   3.912
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   618.590
_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
  Lu  Lu0  1  0.000  0.000  0.500  1.0
  Lu  Lu1  1  0.500  0.500  0.500  1.0
  Ta  Ta2  1  0.500  0.000  0.000  1.0
  Ta  Ta3  1  0.000  0.500  0.000  1.0
  Ta  Ta4  1  0.210  0.079  0.000  1.0
  Ta  Ta5  1  0.790  0.921  0.000  1.0
  Ta  Ta6  1  0.079  0.790  0.000  1.0
  Ta  Ta7  1  0.710  0.421  0.000  1.0
  Ta  Ta8  1  0.921  0.210  0.000  1.0
  Ta  Ta9  1  0.290  0.579  0.000  1.0
  Ta  Ta10  1  0.579  0.710  0.000  1.0
  Ta  Ta11  1  0.421  0.290  0.000  1.0
  Ag  Ag12  1  0.672  0.172  0.500  1.0
  Ag  Ag13  1  0.328  0.828  0.500  1.0
  Ag  Ag14  1  0.172  0.328  0.500  1.0
  Ag  Ag15  1  0.828  0.672  0.500  1.0
  O  O16  1  0.188  0.080  0.500  1.0
  O  O17  1  0.812  0.920  0.500  1.0
  O  O18  1  0.080  0.812  0.500  1.0
  O  O19  1  0.688  0.420  0.500  1.0
  O  O20  1  0.920  0.188  0.500  1.0
  O  O21  1  0.312  0.580  0.500  1.0
  O  O22  1  0.580  0.688  0.500  1.0
  O  O23  1  0.420  0.312  0.500  1.0
  O  O24  1  0.225  0.725  0.000  1.0
  O  O25  1  0.775  0.275  0.000  1.0
  O  O26  1  0.725  0.775  0.000  1.0
  O  O27  1  0.275  0.225  0.000  1.0
  O  O28  1  0.500  0.000  0.500  1.0
  O  O29  1  0.000  0.500  0.500  1.0
  O  O30  1  0.056  0.129  0.000  1.0
  O  O31  1  0.944  0.871  0.000  1.0
  O  O32  1  0.129  0.944  0.000  1.0
  O  O33  1  0.556  0.371  0.000  1.0
  O  O34  1  0.871  0.056  0.000  1.0
  O  O35  1  0.444  0.629  0.000  1.0
  O  O36  1  0.629  0.556  0.000  1.0
  O  O37  1  0.371  0.444  0.000  1.0
  O  O38  1  0.341  0.999  0.000  1.0
  O  O39  1  0.659  0.001  0.000  1.0
  O  O40  1  0.999  0.659  0.000  1.0
  O  O41  1  0.841  0.501  0.000  1.0
  O  O42  1  0.001  0.341  0.000  1.0
  O  O43  1  0.159  0.499  0.000  1.0
  O  O44  1  0.499  0.841  0.000  1.0
  O  O45  1  0.501  0.159  0.000  1.0
[/CIF]
.