The compound described by Lu6Ge4O17 crystallizes in the monoclinic P2/c space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 6-coordinate geometry to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms. In the second Lu site, Lu(2) is bonded to one O(2), one O(4), one O(8), one O(9), and two equivalent O(1) atoms to form distorted LuO6 octahedra that share corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, and  an edgeedge with one Lu(2)O6 octahedra. In the third Lu site, Lu(3) is bonded in a 6-coordinate geometry to one O(8), one O(9), two equivalent O(6), and two equivalent O(7) atoms. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(2), one O(5), one O(7), and one O(9) atom to form GeO4 tetrahedra that share corners with two equivalent Lu(2)O6 octahedra and  a cornercorner with one Ge(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-55°. In the second Ge site, Ge(2) is bonded to one O(3), one O(4), one O(6), and one O(8) atom to form GeO4 tetrahedra that share corners with two equivalent Lu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are nine inequivalent O sites. In the first O site, O(4) is bonded in a distorted trigonal planar geometry to one Lu(1), one Lu(2), and one Ge(2) atom. In the second O site, O(5) is bonded in a bent 120 degrees geometry to two equivalent Ge(1) atoms. In the third O site, O(6) is bonded in a distorted trigonal planar geometry to two equivalent Lu(3) and one Ge(2) atom. In the fourth O site, O(7) is bonded in a distorted trigonal planar geometry to two equivalent Lu(3) and one Ge(1) atom. In the fifth O site, O(8) is bonded in a distorted trigonal planar geometry to one Lu(2), one Lu(3), and one Ge(2) atom. In the sixth O site, O(9) is bonded in a trigonal non-coplanar geometry to one Lu(2), one Lu(3), and one Ge(1) atom. In the seventh O site, O(1) is bonded to two equivalent Lu(1) and two equivalent Lu(2) atoms to form edge-sharing OLu4 tetrahedra. In the eighth O site, O(2) is bonded in a distorted trigonal planar geometry to one Lu(1), one Lu(2), and one Ge(1) atom. In the ninth O site, O(3) is bonded in a trigonal planar geometry to two equivalent Lu(1) and one Ge(2) atom. is represented by the CIF card [CIF]
data_Lu6Ge4O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.819
_cell_length_b   10.435
_cell_length_c   10.843
_cell_angle_alpha   68.409
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   717.396
_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  0.746  0.475  0.952  1.0
  Lu  Lu1  1  0.746  0.025  0.048  1.0
  Lu  Lu2  1  0.254  0.525  0.048  1.0
  Lu  Lu3  1  0.254  0.975  0.952  1.0
  Lu  Lu4  1  0.404  0.306  0.831  1.0
  Lu  Lu5  1  0.404  0.194  0.169  1.0
  Lu  Lu6  1  0.596  0.694  0.169  1.0
  Lu  Lu7  1  0.596  0.806  0.831  1.0
  Lu  Lu8  1  0.837  0.427  0.427  1.0
  Lu  Lu9  1  0.837  0.073  0.573  1.0
  Lu  Lu10  1  0.163  0.573  0.573  1.0
  Lu  Lu11  1  0.163  0.927  0.427  1.0
  Ge  Ge12  1  0.639  0.603  0.618  1.0
  Ge  Ge13  1  0.639  0.897  0.382  1.0
  Ge  Ge14  1  0.361  0.397  0.382  1.0
  Ge  Ge15  1  0.361  0.103  0.618  1.0
  Ge  Ge16  1  0.923  0.271  0.776  1.0
  Ge  Ge17  1  0.923  0.229  0.224  1.0
  Ge  Ge18  1  0.077  0.729  0.224  1.0
  Ge  Ge19  1  0.077  0.771  0.776  1.0
  O  O20  1  0.421  0.388  0.985  1.0
  O  O21  1  0.421  0.112  0.015  1.0
  O  O22  1  0.579  0.612  0.015  1.0
  O  O23  1  0.579  0.888  0.985  1.0
  O  O24  1  0.675  0.637  0.762  1.0
  O  O25  1  0.675  0.863  0.238  1.0
  O  O26  1  0.325  0.363  0.238  1.0
  O  O27  1  0.325  0.137  0.762  1.0
  O  O28  1  0.977  0.389  0.099  1.0
  O  O29  1  0.977  0.111  0.901  1.0
  O  O30  1  0.023  0.611  0.901  1.0
  O  O31  1  0.023  0.889  0.099  1.0
  O  O32  1  0.722  0.328  0.845  1.0
  O  O33  1  0.722  0.172  0.155  1.0
  O  O34  1  0.278  0.672  0.155  1.0
  O  O35  1  0.278  0.828  0.845  1.0
  O  O36  1  0.528  0.750  0.500  1.0
  O  O37  1  0.472  0.250  0.500  1.0
  O  O38  1  0.144  0.751  0.628  1.0
  O  O39  1  0.144  0.749  0.372  1.0
  O  O40  1  0.846  0.949  0.445  1.0
  O  O41  1  0.846  0.551  0.555  1.0
  O  O42  1  0.154  0.051  0.555  1.0
  O  O43  1  0.154  0.449  0.445  1.0
  O  O44  1  0.887  0.889  0.757  1.0
  O  O45  1  0.887  0.611  0.243  1.0
  O  O46  1  0.113  0.111  0.243  1.0
  O  O47  1  0.113  0.389  0.757  1.0
  O  O48  1  0.553  0.985  0.646  1.0
  O  O49  1  0.553  0.515  0.354  1.0
  O  O50  1  0.447  0.015  0.354  1.0
  O  O51  1  0.447  0.485  0.646  1.0
  O  O52  1  0.856  0.251  0.628  1.0
  O  O53  1  0.856  0.249  0.372  1.0
[/CIF]
.
The compound described by Lu6Ge4O17 crystallizes in the monoclinic P2/c space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 6-coordinate geometry to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms. In the second Lu site, Lu(2) is bonded to one O(2), one O(4), one O(8), one O(9), and two equivalent O(1) atoms to form distorted LuO6 octahedra that share corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, and  an edgeedge with one Lu(2)O6 octahedra. In the third Lu site, Lu(3) is bonded in a 6-coordinate geometry to one O(8), one O(9), two equivalent O(6), and two equivalent O(7) atoms. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(2), one O(5), one O(7), and one O(9) atom to form GeO4 tetrahedra that share corners with two equivalent Lu(2)O6 octahedra and  a cornercorner with one Ge(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-55°. In the second Ge site, Ge(2) is bonded to one O(3), one O(4), one O(6), and one O(8) atom to form GeO4 tetrahedra that share corners with two equivalent Lu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are nine inequivalent O sites. In the first O site, O(4) is bonded in a distorted trigonal planar geometry to one Lu(1), one Lu(2), and one Ge(2) atom. In the second O site, O(5) is bonded in a bent 120 degrees geometry to two equivalent Ge(1) atoms. In the third O site, O(6) is bonded in a distorted trigonal planar geometry to two equivalent Lu(3) and one Ge(2) atom. In the fourth O site, O(7) is bonded in a distorted trigonal planar geometry to two equivalent Lu(3) and one Ge(1) atom. In the fifth O site, O(8) is bonded in a distorted trigonal planar geometry to one Lu(2), one Lu(3), and one Ge(2) atom. In the sixth O site, O(9) is bonded in a trigonal non-coplanar geometry to one Lu(2), one Lu(3), and one Ge(1) atom. In the seventh O site, O(1) is bonded to two equivalent Lu(1) and two equivalent Lu(2) atoms to form edge-sharing OLu4 tetrahedra. In the eighth O site, O(2) is bonded in a distorted trigonal planar geometry to one Lu(1), one Lu(2), and one Ge(1) atom. In the ninth O site, O(3) is bonded in a trigonal planar geometry to two equivalent Lu(1) and one Ge(2) atom. is represented by the CIF card [CIF]
data_Lu6Ge4O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.819
_cell_length_b   10.435
_cell_length_c   10.843
_cell_angle_alpha   68.409
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   717.396
_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  0.746  0.475  0.952  1.0
  Lu  Lu1  1  0.746  0.025  0.048  1.0
  Lu  Lu2  1  0.254  0.525  0.048  1.0
  Lu  Lu3  1  0.254  0.975  0.952  1.0
  Lu  Lu4  1  0.404  0.306  0.831  1.0
  Lu  Lu5  1  0.404  0.194  0.169  1.0
  Lu  Lu6  1  0.596  0.694  0.169  1.0
  Lu  Lu7  1  0.596  0.806  0.831  1.0
  Lu  Lu8  1  0.837  0.427  0.427  1.0
  Lu  Lu9  1  0.837  0.073  0.573  1.0
  Lu  Lu10  1  0.163  0.573  0.573  1.0
  Lu  Lu11  1  0.163  0.927  0.427  1.0
  Ge  Ge12  1  0.639  0.603  0.618  1.0
  Ge  Ge13  1  0.639  0.897  0.382  1.0
  Ge  Ge14  1  0.361  0.397  0.382  1.0
  Ge  Ge15  1  0.361  0.103  0.618  1.0
  Ge  Ge16  1  0.923  0.271  0.776  1.0
  Ge  Ge17  1  0.923  0.229  0.224  1.0
  Ge  Ge18  1  0.077  0.729  0.224  1.0
  Ge  Ge19  1  0.077  0.771  0.776  1.0
  O  O20  1  0.421  0.388  0.985  1.0
  O  O21  1  0.421  0.112  0.015  1.0
  O  O22  1  0.579  0.612  0.015  1.0
  O  O23  1  0.579  0.888  0.985  1.0
  O  O24  1  0.675  0.637  0.762  1.0
  O  O25  1  0.675  0.863  0.238  1.0
  O  O26  1  0.325  0.363  0.238  1.0
  O  O27  1  0.325  0.137  0.762  1.0
  O  O28  1  0.977  0.389  0.099  1.0
  O  O29  1  0.977  0.111  0.901  1.0
  O  O30  1  0.023  0.611  0.901  1.0
  O  O31  1  0.023  0.889  0.099  1.0
  O  O32  1  0.722  0.328  0.845  1.0
  O  O33  1  0.722  0.172  0.155  1.0
  O  O34  1  0.278  0.672  0.155  1.0
  O  O35  1  0.278  0.828  0.845  1.0
  O  O36  1  0.528  0.750  0.500  1.0
  O  O37  1  0.472  0.250  0.500  1.0
  O  O38  1  0.144  0.751  0.628  1.0
  O  O39  1  0.144  0.749  0.372  1.0
  O  O40  1  0.846  0.949  0.445  1.0
  O  O41  1  0.846  0.551  0.555  1.0
  O  O42  1  0.154  0.051  0.555  1.0
  O  O43  1  0.154  0.449  0.445  1.0
  O  O44  1  0.887  0.889  0.757  1.0
  O  O45  1  0.887  0.611  0.243  1.0
  O  O46  1  0.113  0.111  0.243  1.0
  O  O47  1  0.113  0.389  0.757  1.0
  O  O48  1  0.553  0.985  0.646  1.0
  O  O49  1  0.553  0.515  0.354  1.0
  O  O50  1  0.447  0.015  0.354  1.0
  O  O51  1  0.447  0.485  0.646  1.0
  O  O52  1  0.856  0.251  0.628  1.0
  O  O53  1  0.856  0.249  0.372  1.0
[/CIF]
.