The crystal structure described by SrLu2O4 crystallizes in the orthorhombic Cmcm space group. Sr(1) is bonded in a 8-coordinate geometry to two equivalent O(1), two equivalent O(2), and four equivalent O(3) atoms. Lu(1) is bonded to one O(2), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles range from 0-48°. There are three inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Sr(1) and four equivalent Lu(1) atoms to form distorted OSr2Lu4 octahedra that share corners with two equivalent O(1)Sr2Lu4 octahedra, corners with eight equivalent O(3)Sr2Lu3 trigonal bipyramids, edges with two equivalent O(1)Sr2Lu4 octahedra, edges with four equivalent O(2)Sr2Lu2 tetrahedra, and edges with six equivalent O(3)Sr2Lu3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 47°. In the second O site, O(2) is bonded to two equivalent Sr(1) and two equivalent Lu(1) atoms to form distorted OSr2Lu2 tetrahedra that share corners with two equivalent O(2)Sr2Lu2 tetrahedra, corners with ten equivalent O(3)Sr2Lu3 trigonal bipyramids, edges with four equivalent O(1)Sr2Lu4 octahedra, and edges with two equivalent O(3)Sr2Lu3 trigonal bipyramids. In the third O site, O(3) is bonded to two equivalent Sr(1) and three equivalent Lu(1) atoms to form distorted OSr2Lu3 trigonal bipyramids that share corners with four equivalent O(1)Sr2Lu4 octahedra, corners with five equivalent O(2)Sr2Lu2 tetrahedra, corners with two equivalent O(3)Sr2Lu3 trigonal bipyramids, edges with three equivalent O(1)Sr2Lu4 octahedra,  an edgeedge with one O(2)Sr2Lu2 tetrahedra, and edges with five equivalent O(3)Sr2Lu3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 10-42°. is represented by the CIF card [CIF]
data_SrLu2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.718
_cell_length_b   5.718
_cell_length_c   11.025
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   146.327
_symmetry_Int_Tables_number   1
_cell_volume   199.890
_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
  Sr  Sr0  1  0.389  0.611  0.250  1.0
  Sr  Sr1  1  0.611  0.389  0.750  1.0
  Lu  Lu2  1  0.866  0.134  0.928  1.0
  Lu  Lu3  1  0.866  0.134  0.572  1.0
  Lu  Lu4  1  0.134  0.866  0.072  1.0
  Lu  Lu5  1  0.134  0.866  0.428  1.0
  O  O6  1  0.500  0.500  0.000  1.0
  O  O7  1  0.500  0.500  0.500  1.0
  O  O8  1  0.946  0.054  0.750  1.0
  O  O9  1  0.764  0.236  0.107  1.0
  O  O10  1  0.764  0.236  0.393  1.0
  O  O11  1  0.236  0.764  0.607  1.0
  O  O12  1  0.236  0.764  0.893  1.0
  O  O13  1  0.054  0.946  0.250  1.0
[/CIF]
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The crystal structure described by SrLu2O4 crystallizes in the orthorhombic Cmcm space group. Sr(1) is bonded in a 8-coordinate geometry to two equivalent O(1), two equivalent O(2), and four equivalent O(3) atoms. Lu(1) is bonded to one O(2), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles range from 0-48°. There are three inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Sr(1) and four equivalent Lu(1) atoms to form distorted OSr2Lu4 octahedra that share corners with two equivalent O(1)Sr2Lu4 octahedra, corners with eight equivalent O(3)Sr2Lu3 trigonal bipyramids, edges with two equivalent O(1)Sr2Lu4 octahedra, edges with four equivalent O(2)Sr2Lu2 tetrahedra, and edges with six equivalent O(3)Sr2Lu3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 47°. In the second O site, O(2) is bonded to two equivalent Sr(1) and two equivalent Lu(1) atoms to form distorted OSr2Lu2 tetrahedra that share corners with two equivalent O(2)Sr2Lu2 tetrahedra, corners with ten equivalent O(3)Sr2Lu3 trigonal bipyramids, edges with four equivalent O(1)Sr2Lu4 octahedra, and edges with two equivalent O(3)Sr2Lu3 trigonal bipyramids. In the third O site, O(3) is bonded to two equivalent Sr(1) and three equivalent Lu(1) atoms to form distorted OSr2Lu3 trigonal bipyramids that share corners with four equivalent O(1)Sr2Lu4 octahedra, corners with five equivalent O(2)Sr2Lu2 tetrahedra, corners with two equivalent O(3)Sr2Lu3 trigonal bipyramids, edges with three equivalent O(1)Sr2Lu4 octahedra,  an edgeedge with one O(2)Sr2Lu2 tetrahedra, and edges with five equivalent O(3)Sr2Lu3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 10-42°. is represented by the CIF card [CIF]
data_SrLu2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.718
_cell_length_b   5.718
_cell_length_c   11.025
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   146.327
_symmetry_Int_Tables_number   1
_cell_volume   199.890
_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
  Sr  Sr0  1  0.389  0.611  0.250  1.0
  Sr  Sr1  1  0.611  0.389  0.750  1.0
  Lu  Lu2  1  0.866  0.134  0.928  1.0
  Lu  Lu3  1  0.866  0.134  0.572  1.0
  Lu  Lu4  1  0.134  0.866  0.072  1.0
  Lu  Lu5  1  0.134  0.866  0.428  1.0
  O  O6  1  0.500  0.500  0.000  1.0
  O  O7  1  0.500  0.500  0.500  1.0
  O  O8  1  0.946  0.054  0.750  1.0
  O  O9  1  0.764  0.236  0.107  1.0
  O  O10  1  0.764  0.236  0.393  1.0
  O  O11  1  0.236  0.764  0.607  1.0
  O  O12  1  0.236  0.764  0.893  1.0
  O  O13  1  0.054  0.946  0.250  1.0
[/CIF]
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