The compound described by LiEu3O4 crystallizes in the orthorhombic Pnma space group. Li(1) is bonded to one O(1), one O(4), and two equivalent O(2) atoms to form LiO4 tetrahedra that share  a cornercorner with one Eu(1)O6 octahedra, corners with three equivalent Eu(2)O6 octahedra, corners with two equivalent Li(1)O4 tetrahedra, edges with two equivalent Eu(1)O6 octahedra, edges with three equivalent Eu(2)O6 octahedra, and edges with two equivalent Eu(3)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 3-13°. There are three inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form EuO6 octahedra that share corners with three equivalent Eu(2)O6 octahedra, corners with four equivalent Eu(3)O7 pentagonal bipyramids,  a cornercorner with one Li(1)O4 tetrahedra, edges with two equivalent Eu(1)O6 octahedra, edges with two equivalent Eu(2)O6 octahedra, edges with four equivalent Eu(3)O7 pentagonal bipyramids, and edges with two equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 36-74°. In the second Eu site, Eu(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(2) atoms to form distorted EuO6 octahedra that share corners with three equivalent Eu(1)O6 octahedra, corners with four equivalent Eu(3)O7 pentagonal bipyramids, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Eu(1)O6 octahedra, edges with four equivalent Eu(2)O6 octahedra,  an edgeedge with one Eu(3)O7 pentagonal bipyramid, and edges with three equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 36-74°. In the third Eu site, Eu(3) is bonded to two equivalent O(1), two equivalent O(4), and three equivalent O(3) atoms to form distorted EuO7 pentagonal bipyramids that share corners with four equivalent Eu(1)O6 octahedra, corners with four equivalent Eu(2)O6 octahedra,  an edgeedge with one Eu(2)O6 octahedra, edges with four equivalent Eu(1)O6 octahedra, edges with two equivalent Eu(3)O7 pentagonal bipyramids, edges with two equivalent Li(1)O4 tetrahedra, and faces with two equivalent Eu(3)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 10-75°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Eu(1), two equivalent Eu(2), and two equivalent Eu(3) atoms to form distorted OLiEu5 octahedra that share corners with two equivalent O(3)Eu5 square pyramids, edges with two equivalent O(1)LiEu5 octahedra, and edges with three equivalent O(3)Eu5 square pyramids. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Li(1), one Eu(1), and three equivalent Eu(2) atoms. In the third O site, O(3) is bonded to two equivalent Eu(1) and three equivalent Eu(3) atoms to form OEu5 square pyramids that share corners with two equivalent O(1)LiEu5 octahedra, edges with three equivalent O(1)LiEu5 octahedra, and edges with four equivalent O(3)Eu5 square pyramids. The corner-sharing octahedral tilt angles are 19°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one Li(1), one Eu(2), two equivalent Eu(1), and two equivalent Eu(3) atoms. is represented by the CIF file [CIF]
data_LiEu3O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.449
_cell_length_b   11.380
_cell_length_c   11.637
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   456.820
_cell_formula_units_Z   4
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
  Li  Li0  1  0.750  0.348  0.596  1.0
  Li  Li1  1  0.750  0.848  0.904  1.0
  Li  Li2  1  0.250  0.652  0.404  1.0
  Li  Li3  1  0.250  0.152  0.096  1.0
  Eu  Eu4  1  0.750  0.141  0.297  1.0
  Eu  Eu5  1  0.750  0.641  0.203  1.0
  Eu  Eu6  1  0.250  0.859  0.703  1.0
  Eu  Eu7  1  0.250  0.359  0.797  1.0
  Eu  Eu8  1  0.750  0.101  0.890  1.0
  Eu  Eu9  1  0.750  0.601  0.610  1.0
  Eu  Eu10  1  0.250  0.899  0.110  1.0
  Eu  Eu11  1  0.250  0.399  0.390  1.0
  Eu  Eu12  1  0.750  0.368  0.074  1.0
  Eu  Eu13  1  0.750  0.868  0.426  1.0
  Eu  Eu14  1  0.250  0.632  0.926  1.0
  Eu  Eu15  1  0.250  0.132  0.574  1.0
  O  O16  1  0.750  0.261  0.461  1.0
  O  O17  1  0.750  0.761  0.039  1.0
  O  O18  1  0.250  0.739  0.539  1.0
  O  O19  1  0.250  0.239  0.961  1.0
  O  O20  1  0.750  0.055  0.106  1.0
  O  O21  1  0.750  0.555  0.394  1.0
  O  O22  1  0.250  0.945  0.894  1.0
  O  O23  1  0.250  0.445  0.606  1.0
  O  O24  1  0.750  0.478  0.884  1.0
  O  O25  1  0.750  0.978  0.616  1.0
  O  O26  1  0.250  0.522  0.116  1.0
  O  O27  1  0.250  0.022  0.384  1.0
  O  O28  1  0.750  0.231  0.718  1.0
  O  O29  1  0.750  0.731  0.782  1.0
  O  O30  1  0.250  0.769  0.282  1.0
  O  O31  1  0.250  0.269  0.218  1.0
[/CIF]
.
The compound described by LiEu3O4 crystallizes in the orthorhombic Pnma space group. Li(1) is bonded to one O(1), one O(4), and two equivalent O(2) atoms to form LiO4 tetrahedra that share  a cornercorner with one Eu(1)O6 octahedra, corners with three equivalent Eu(2)O6 octahedra, corners with two equivalent Li(1)O4 tetrahedra, edges with two equivalent Eu(1)O6 octahedra, edges with three equivalent Eu(2)O6 octahedra, and edges with two equivalent Eu(3)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 3-13°. There are three inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form EuO6 octahedra that share corners with three equivalent Eu(2)O6 octahedra, corners with four equivalent Eu(3)O7 pentagonal bipyramids,  a cornercorner with one Li(1)O4 tetrahedra, edges with two equivalent Eu(1)O6 octahedra, edges with two equivalent Eu(2)O6 octahedra, edges with four equivalent Eu(3)O7 pentagonal bipyramids, and edges with two equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 36-74°. In the second Eu site, Eu(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(2) atoms to form distorted EuO6 octahedra that share corners with three equivalent Eu(1)O6 octahedra, corners with four equivalent Eu(3)O7 pentagonal bipyramids, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Eu(1)O6 octahedra, edges with four equivalent Eu(2)O6 octahedra,  an edgeedge with one Eu(3)O7 pentagonal bipyramid, and edges with three equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 36-74°. In the third Eu site, Eu(3) is bonded to two equivalent O(1), two equivalent O(4), and three equivalent O(3) atoms to form distorted EuO7 pentagonal bipyramids that share corners with four equivalent Eu(1)O6 octahedra, corners with four equivalent Eu(2)O6 octahedra,  an edgeedge with one Eu(2)O6 octahedra, edges with four equivalent Eu(1)O6 octahedra, edges with two equivalent Eu(3)O7 pentagonal bipyramids, edges with two equivalent Li(1)O4 tetrahedra, and faces with two equivalent Eu(3)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 10-75°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Eu(1), two equivalent Eu(2), and two equivalent Eu(3) atoms to form distorted OLiEu5 octahedra that share corners with two equivalent O(3)Eu5 square pyramids, edges with two equivalent O(1)LiEu5 octahedra, and edges with three equivalent O(3)Eu5 square pyramids. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Li(1), one Eu(1), and three equivalent Eu(2) atoms. In the third O site, O(3) is bonded to two equivalent Eu(1) and three equivalent Eu(3) atoms to form OEu5 square pyramids that share corners with two equivalent O(1)LiEu5 octahedra, edges with three equivalent O(1)LiEu5 octahedra, and edges with four equivalent O(3)Eu5 square pyramids. The corner-sharing octahedral tilt angles are 19°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one Li(1), one Eu(2), two equivalent Eu(1), and two equivalent Eu(3) atoms. is represented by the CIF file [CIF]
data_LiEu3O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.449
_cell_length_b   11.380
_cell_length_c   11.637
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   456.820
_cell_formula_units_Z   4
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
  Li  Li0  1  0.750  0.348  0.596  1.0
  Li  Li1  1  0.750  0.848  0.904  1.0
  Li  Li2  1  0.250  0.652  0.404  1.0
  Li  Li3  1  0.250  0.152  0.096  1.0
  Eu  Eu4  1  0.750  0.141  0.297  1.0
  Eu  Eu5  1  0.750  0.641  0.203  1.0
  Eu  Eu6  1  0.250  0.859  0.703  1.0
  Eu  Eu7  1  0.250  0.359  0.797  1.0
  Eu  Eu8  1  0.750  0.101  0.890  1.0
  Eu  Eu9  1  0.750  0.601  0.610  1.0
  Eu  Eu10  1  0.250  0.899  0.110  1.0
  Eu  Eu11  1  0.250  0.399  0.390  1.0
  Eu  Eu12  1  0.750  0.368  0.074  1.0
  Eu  Eu13  1  0.750  0.868  0.426  1.0
  Eu  Eu14  1  0.250  0.632  0.926  1.0
  Eu  Eu15  1  0.250  0.132  0.574  1.0
  O  O16  1  0.750  0.261  0.461  1.0
  O  O17  1  0.750  0.761  0.039  1.0
  O  O18  1  0.250  0.739  0.539  1.0
  O  O19  1  0.250  0.239  0.961  1.0
  O  O20  1  0.750  0.055  0.106  1.0
  O  O21  1  0.750  0.555  0.394  1.0
  O  O22  1  0.250  0.945  0.894  1.0
  O  O23  1  0.250  0.445  0.606  1.0
  O  O24  1  0.750  0.478  0.884  1.0
  O  O25  1  0.750  0.978  0.616  1.0
  O  O26  1  0.250  0.522  0.116  1.0
  O  O27  1  0.250  0.022  0.384  1.0
  O  O28  1  0.750  0.231  0.718  1.0
  O  O29  1  0.750  0.731  0.782  1.0
  O  O30  1  0.250  0.769  0.282  1.0
  O  O31  1  0.250  0.269  0.218  1.0
[/CIF]
.