The structure described by K3Lu(PO4)2 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 10-coordinate geometry to one O(6), two equivalent O(3), three equivalent O(5), and four equivalent O(4) atoms. In the second K site, K(2) is bonded in a 9-coordinate geometry to one O(1), one O(6), two equivalent O(3), two equivalent O(4), and three equivalent O(2) atoms. In the third K site, K(3) is bonded in a 9-coordinate geometry to one O(2), one O(5), two equivalent O(3), two equivalent O(4), and three equivalent O(6) atoms. Lu(1) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(5), two equivalent O(3), and two equivalent O(4) atoms. There are two inequivalent P sites. In the first P site, P(1) is bonded in a tetrahedral geometry to one O(1), one O(2), and two equivalent O(3) atoms. In the second P site, P(2) is bonded in a tetrahedral geometry to one O(5), one O(6), and two equivalent O(4) atoms. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(2), one Lu(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one K(3), three equivalent K(2), one Lu(1), and one P(1) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to one K(1), one K(2), one K(3), one Lu(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(2), one K(3), two equivalent K(1), one Lu(1), and one P(2) atom. In the fifth O site, O(5) is bonded in a 1-coordinate geometry to one K(3), three equivalent K(1), one Lu(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(1), one K(2), three equivalent K(3), and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Lu(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.655
_cell_length_b   7.512
_cell_length_c   9.358
_cell_angle_alpha   88.608
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   397.375
_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
  K  K0  1  0.250  0.205  0.920  1.0
  K  K1  1  0.750  0.795  0.080  1.0
  K  K2  1  0.250  0.639  0.586  1.0
  K  K3  1  0.750  0.361  0.414  1.0
  K  K4  1  0.250  0.497  0.192  1.0
  K  K5  1  0.750  0.503  0.808  1.0
  Lu  Lu6  1  0.250  0.991  0.286  1.0
  Lu  Lu7  1  0.750  0.009  0.714  1.0
  P  P8  1  0.250  0.181  0.571  1.0
  P  P9  1  0.750  0.819  0.429  1.0
  P  P10  1  0.750  0.224  0.093  1.0
  P  P11  1  0.250  0.776  0.907  1.0
  O  O12  1  0.250  0.984  0.528  1.0
  O  O13  1  0.750  0.016  0.472  1.0
  O  O14  1  0.250  0.291  0.428  1.0
  O  O15  1  0.750  0.709  0.572  1.0
  O  O16  1  0.026  0.225  0.662  1.0
  O  O17  1  0.526  0.775  0.338  1.0
  O  O18  1  0.974  0.775  0.338  1.0
  O  O19  1  0.474  0.225  0.662  1.0
  O  O20  1  0.975  0.146  0.170  1.0
  O  O21  1  0.475  0.854  0.830  1.0
  O  O22  1  0.025  0.854  0.830  1.0
  O  O23  1  0.525  0.146  0.170  1.0
  O  O24  1  0.750  0.167  0.934  1.0
  O  O25  1  0.250  0.833  0.066  1.0
  O  O26  1  0.750  0.429  0.104  1.0
  O  O27  1  0.250  0.571  0.896  1.0
[/CIF]
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The structure described by K3Lu(PO4)2 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 10-coordinate geometry to one O(6), two equivalent O(3), three equivalent O(5), and four equivalent O(4) atoms. In the second K site, K(2) is bonded in a 9-coordinate geometry to one O(1), one O(6), two equivalent O(3), two equivalent O(4), and three equivalent O(2) atoms. In the third K site, K(3) is bonded in a 9-coordinate geometry to one O(2), one O(5), two equivalent O(3), two equivalent O(4), and three equivalent O(6) atoms. Lu(1) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(5), two equivalent O(3), and two equivalent O(4) atoms. There are two inequivalent P sites. In the first P site, P(1) is bonded in a tetrahedral geometry to one O(1), one O(2), and two equivalent O(3) atoms. In the second P site, P(2) is bonded in a tetrahedral geometry to one O(5), one O(6), and two equivalent O(4) atoms. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(2), one Lu(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one K(3), three equivalent K(2), one Lu(1), and one P(1) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to one K(1), one K(2), one K(3), one Lu(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(2), one K(3), two equivalent K(1), one Lu(1), and one P(2) atom. In the fifth O site, O(5) is bonded in a 1-coordinate geometry to one K(3), three equivalent K(1), one Lu(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(1), one K(2), three equivalent K(3), and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Lu(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.655
_cell_length_b   7.512
_cell_length_c   9.358
_cell_angle_alpha   88.608
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   397.375
_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
  K  K0  1  0.250  0.205  0.920  1.0
  K  K1  1  0.750  0.795  0.080  1.0
  K  K2  1  0.250  0.639  0.586  1.0
  K  K3  1  0.750  0.361  0.414  1.0
  K  K4  1  0.250  0.497  0.192  1.0
  K  K5  1  0.750  0.503  0.808  1.0
  Lu  Lu6  1  0.250  0.991  0.286  1.0
  Lu  Lu7  1  0.750  0.009  0.714  1.0
  P  P8  1  0.250  0.181  0.571  1.0
  P  P9  1  0.750  0.819  0.429  1.0
  P  P10  1  0.750  0.224  0.093  1.0
  P  P11  1  0.250  0.776  0.907  1.0
  O  O12  1  0.250  0.984  0.528  1.0
  O  O13  1  0.750  0.016  0.472  1.0
  O  O14  1  0.250  0.291  0.428  1.0
  O  O15  1  0.750  0.709  0.572  1.0
  O  O16  1  0.026  0.225  0.662  1.0
  O  O17  1  0.526  0.775  0.338  1.0
  O  O18  1  0.974  0.775  0.338  1.0
  O  O19  1  0.474  0.225  0.662  1.0
  O  O20  1  0.975  0.146  0.170  1.0
  O  O21  1  0.475  0.854  0.830  1.0
  O  O22  1  0.025  0.854  0.830  1.0
  O  O23  1  0.525  0.146  0.170  1.0
  O  O24  1  0.750  0.167  0.934  1.0
  O  O25  1  0.250  0.833  0.066  1.0
  O  O26  1  0.750  0.429  0.104  1.0
  O  O27  1  0.250  0.571  0.896  1.0
[/CIF]
.