The structure described by Lu2B4O9 crystallizes in the triclinic P-1 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 9-coordinate geometry to one O(2), one O(3), one O(5), one O(7), one O(9), two equivalent O(1), and two equivalent O(4) atoms. In the second Lu site, Lu(2) is bonded in a 10-coordinate geometry to one O(1), one O(2), one O(4), one O(5), one O(6), one O(9), two equivalent O(7), and two equivalent O(8) atoms. There are four inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(1), one O(2), and one O(6) atom. In the second B site, B(2) is bonded to one O(2), one O(3), one O(5), and one O(8) atom to form corner-sharing BO4 tetrahedra. In the third B site, B(3) is bonded to one O(4), one O(5), one O(7), and one O(9) atom to form corner-sharing BO4 tetrahedra. In the fourth B site, B(4) is bonded to one O(3), one O(6), one O(8), and one O(9) atom to form corner-sharing BO4 tetrahedra. There are nine inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Lu(2), two equivalent Lu(1), and one B(1) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Lu(1), one Lu(2), one B(1), and one B(2) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Lu(1), one B(2), and one B(4) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Lu(2), two equivalent Lu(1), and one B(3) atom. In the fifth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Lu(1), one Lu(2), one B(2), and one B(3) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Lu(2), one B(1), and one B(4) atom. In the seventh O site, O(7) is bonded to one Lu(1), two equivalent Lu(2), and one B(3) atom to form distorted edge-sharing OLu3B tetrahedra. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to two equivalent Lu(2), one B(2), and one B(4) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one Lu(1), one Lu(2), one B(3), and one B(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2B4O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.126
_cell_length_b   6.369
_cell_length_c   7.411
_cell_angle_alpha   102.747
_cell_angle_beta   97.301
_cell_angle_gamma   102.361
_symmetry_Int_Tables_number   1
_cell_volume   270.853
_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  0.113  0.323  0.639  1.0
  Lu  Lu1  1  0.449  0.911  0.711  1.0
  Lu  Lu2  1  0.551  0.089  0.289  1.0
  Lu  Lu3  1  0.887  0.677  0.361  1.0
  B  B4  1  0.005  0.857  0.808  1.0
  B  B5  1  0.267  0.667  0.018  1.0
  B  B6  1  0.373  0.643  0.351  1.0
  B  B7  1  0.339  0.315  0.072  1.0
  B  B8  1  0.661  0.685  0.928  1.0
  B  B9  1  0.627  0.357  0.649  1.0
  B  B10  1  0.733  0.333  0.982  1.0
  B  B11  1  0.995  0.143  0.192  1.0
  O  O12  1  0.072  0.960  0.672  1.0
  O  O13  1  0.139  0.717  0.853  1.0
  O  O14  1  0.225  0.426  0.955  1.0
  O  O15  1  0.217  0.595  0.481  1.0
  O  O16  1  0.234  0.738  0.213  1.0
  O  O17  1  0.189  0.128  0.123  1.0
  O  O18  1  0.418  0.180  0.551  1.0
  O  O19  1  0.495  0.205  0.976  1.0
  O  O20  1  0.537  0.538  0.747  1.0
  O  O21  1  0.463  0.462  0.253  1.0
  O  O22  1  0.505  0.795  0.024  1.0
  O  O23  1  0.582  0.820  0.449  1.0
  O  O24  1  0.811  0.872  0.877  1.0
  O  O25  1  0.766  0.262  0.787  1.0
  O  O26  1  0.783  0.405  0.519  1.0
  O  O27  1  0.775  0.574  0.045  1.0
  O  O28  1  0.861  0.283  0.147  1.0
  O  O29  1  0.928  0.040  0.328  1.0
[/CIF]
.
The structure described by Lu2B4O9 crystallizes in the triclinic P-1 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 9-coordinate geometry to one O(2), one O(3), one O(5), one O(7), one O(9), two equivalent O(1), and two equivalent O(4) atoms. In the second Lu site, Lu(2) is bonded in a 10-coordinate geometry to one O(1), one O(2), one O(4), one O(5), one O(6), one O(9), two equivalent O(7), and two equivalent O(8) atoms. There are four inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(1), one O(2), and one O(6) atom. In the second B site, B(2) is bonded to one O(2), one O(3), one O(5), and one O(8) atom to form corner-sharing BO4 tetrahedra. In the third B site, B(3) is bonded to one O(4), one O(5), one O(7), and one O(9) atom to form corner-sharing BO4 tetrahedra. In the fourth B site, B(4) is bonded to one O(3), one O(6), one O(8), and one O(9) atom to form corner-sharing BO4 tetrahedra. There are nine inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Lu(2), two equivalent Lu(1), and one B(1) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Lu(1), one Lu(2), one B(1), and one B(2) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Lu(1), one B(2), and one B(4) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Lu(2), two equivalent Lu(1), and one B(3) atom. In the fifth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Lu(1), one Lu(2), one B(2), and one B(3) atom. In the sixth O site, O(6) is bonded in a distorted bent 120 degrees geometry to one Lu(2), one B(1), and one B(4) atom. In the seventh O site, O(7) is bonded to one Lu(1), two equivalent Lu(2), and one B(3) atom to form distorted edge-sharing OLu3B tetrahedra. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to two equivalent Lu(2), one B(2), and one B(4) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one Lu(1), one Lu(2), one B(3), and one B(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2B4O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.126
_cell_length_b   6.369
_cell_length_c   7.411
_cell_angle_alpha   102.747
_cell_angle_beta   97.301
_cell_angle_gamma   102.361
_symmetry_Int_Tables_number   1
_cell_volume   270.853
_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  0.113  0.323  0.639  1.0
  Lu  Lu1  1  0.449  0.911  0.711  1.0
  Lu  Lu2  1  0.551  0.089  0.289  1.0
  Lu  Lu3  1  0.887  0.677  0.361  1.0
  B  B4  1  0.005  0.857  0.808  1.0
  B  B5  1  0.267  0.667  0.018  1.0
  B  B6  1  0.373  0.643  0.351  1.0
  B  B7  1  0.339  0.315  0.072  1.0
  B  B8  1  0.661  0.685  0.928  1.0
  B  B9  1  0.627  0.357  0.649  1.0
  B  B10  1  0.733  0.333  0.982  1.0
  B  B11  1  0.995  0.143  0.192  1.0
  O  O12  1  0.072  0.960  0.672  1.0
  O  O13  1  0.139  0.717  0.853  1.0
  O  O14  1  0.225  0.426  0.955  1.0
  O  O15  1  0.217  0.595  0.481  1.0
  O  O16  1  0.234  0.738  0.213  1.0
  O  O17  1  0.189  0.128  0.123  1.0
  O  O18  1  0.418  0.180  0.551  1.0
  O  O19  1  0.495  0.205  0.976  1.0
  O  O20  1  0.537  0.538  0.747  1.0
  O  O21  1  0.463  0.462  0.253  1.0
  O  O22  1  0.505  0.795  0.024  1.0
  O  O23  1  0.582  0.820  0.449  1.0
  O  O24  1  0.811  0.872  0.877  1.0
  O  O25  1  0.766  0.262  0.787  1.0
  O  O26  1  0.783  0.405  0.519  1.0
  O  O27  1  0.775  0.574  0.045  1.0
  O  O28  1  0.861  0.283  0.147  1.0
  O  O29  1  0.928  0.040  0.328  1.0
[/CIF]
.