The structure described by BaLuCo4O7 crystallizes in the orthorhombic Pna2_1 space group. Ba(1) is bonded in a 8-coordinate geometry to one O(1), one O(2), one O(6), one O(7), two equivalent O(3), and two equivalent O(5) atoms. Lu(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form LuO6 octahedra that share corners with three equivalent Co(1)O4 tetrahedra, corners with three equivalent Co(2)O4 tetrahedra, corners with three equivalent Co(3)O4 tetrahedra, and corners with three equivalent Co(4)O4 tetrahedra. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(4), one O(5), one O(6), and one O(7) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Co(3)O4 tetrahedra, and corners with two equivalent Co(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the second Co site, Co(2) is bonded to one O(2), one O(3), one O(4), and one O(7) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Co(3)O4 tetrahedra, and corners with two equivalent Co(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the third Co site, Co(3) is bonded to one O(1), one O(3), one O(4), and one O(5) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, and corners with two equivalent Co(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the fourth Co site, Co(4) is bonded to one O(1), one O(2), one O(4), and one O(6) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, and corners with two equivalent Co(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-61°. There are seven inequivalent O sites. In the first O site, O(3) is bonded in a 3-coordinate geometry to two equivalent Ba(1), one Lu(1), one Co(2), and one Co(3) atom. In the second O site, O(4) is bonded in a tetrahedral geometry to one Co(1), one Co(2), one Co(3), and one Co(4) atom. In the third O site, O(5) is bonded in a 3-coordinate geometry to two equivalent Ba(1), one Lu(1), one Co(1), and one Co(3) atom. In the fourth O site, O(6) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(1), and one Co(4) atom. In the fifth O site, O(7) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(1), and one Co(2) atom. In the sixth O site, O(1) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(3), and one Co(4) atom. In the seventh O site, O(2) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(2), and one Co(4) atom. is represented by the CIF card [CIF]
data_BaLuCo4O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.310
_cell_length_b   10.284
_cell_length_c   10.996
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   713.524
_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
  Ba  Ba0  1  0.493  0.502  0.836  1.0
  Ba  Ba1  1  0.507  0.002  0.164  1.0
  Ba  Ba2  1  0.993  0.002  0.664  1.0
  Ba  Ba3  1  0.007  0.502  0.336  1.0
  Lu  Lu4  1  0.503  0.127  0.830  1.0
  Lu  Lu5  1  0.497  0.627  0.170  1.0
  Lu  Lu6  1  0.003  0.627  0.670  1.0
  Lu  Lu7  1  0.997  0.127  0.330  1.0
  Co  Co8  1  0.500  0.061  0.501  1.0
  Co  Co9  1  0.500  0.561  0.499  1.0
  Co  Co10  1  0.000  0.561  0.999  1.0
  Co  Co11  1  1.000  0.061  0.001  1.0
  Co  Co12  1  0.758  0.320  0.583  1.0
  Co  Co13  1  0.242  0.820  0.417  1.0
  Co  Co14  1  0.258  0.820  0.917  1.0
  Co  Co15  1  0.742  0.320  0.083  1.0
  Co  Co16  1  0.755  0.815  0.411  1.0
  Co  Co17  1  0.245  0.315  0.589  1.0
  Co  Co18  1  0.255  0.315  0.089  1.0
  Co  Co19  1  0.745  0.815  0.911  1.0
  Co  Co20  1  0.501  0.317  0.327  1.0
  Co  Co21  1  0.499  0.817  0.673  1.0
  Co  Co22  1  0.001  0.817  0.173  1.0
  Co  Co23  1  0.999  0.317  0.827  1.0
  O  O24  1  0.275  0.221  0.244  1.0
  O  O25  1  0.725  0.721  0.756  1.0
  O  O26  1  0.775  0.721  0.256  1.0
  O  O27  1  0.225  0.221  0.744  1.0
  O  O28  1  0.219  0.779  0.753  1.0
  O  O29  1  0.781  0.279  0.247  1.0
  O  O30  1  0.719  0.279  0.747  1.0
  O  O31  1  0.281  0.779  0.253  1.0
  O  O32  1  0.490  0.759  0.006  1.0
  O  O33  1  0.510  0.259  0.994  1.0
  O  O34  1  0.990  0.259  0.494  1.0
  O  O35  1  0.010  0.759  0.506  1.0
  O  O36  1  0.493  0.757  0.499  1.0
  O  O37  1  0.507  0.257  0.501  1.0
  O  O38  1  0.993  0.257  0.001  1.0
  O  O39  1  0.007  0.757  0.999  1.0
  O  O40  1  0.736  0.005  0.400  1.0
  O  O41  1  0.264  0.505  0.600  1.0
  O  O42  1  0.236  0.505  0.100  1.0
  O  O43  1  0.764  0.005  0.900  1.0
  O  O44  1  0.454  0.505  0.331  1.0
  O  O45  1  0.546  0.005  0.669  1.0
  O  O46  1  0.954  0.005  0.169  1.0
  O  O47  1  0.046  0.505  0.831  1.0
  O  O48  1  0.776  0.503  0.566  1.0
  O  O49  1  0.224  0.003  0.434  1.0
  O  O50  1  0.276  0.003  0.934  1.0
  O  O51  1  0.724  0.503  0.066  1.0
[/CIF]
.
The structure described by BaLuCo4O7 crystallizes in the orthorhombic Pna2_1 space group. Ba(1) is bonded in a 8-coordinate geometry to one O(1), one O(2), one O(6), one O(7), two equivalent O(3), and two equivalent O(5) atoms. Lu(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form LuO6 octahedra that share corners with three equivalent Co(1)O4 tetrahedra, corners with three equivalent Co(2)O4 tetrahedra, corners with three equivalent Co(3)O4 tetrahedra, and corners with three equivalent Co(4)O4 tetrahedra. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(4), one O(5), one O(6), and one O(7) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Co(3)O4 tetrahedra, and corners with two equivalent Co(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the second Co site, Co(2) is bonded to one O(2), one O(3), one O(4), and one O(7) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Co(3)O4 tetrahedra, and corners with two equivalent Co(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the third Co site, Co(3) is bonded to one O(1), one O(3), one O(4), and one O(5) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, and corners with two equivalent Co(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the fourth Co site, Co(4) is bonded to one O(1), one O(2), one O(4), and one O(6) atom to form CoO4 tetrahedra that share corners with three equivalent Lu(1)O6 octahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, and corners with two equivalent Co(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-61°. There are seven inequivalent O sites. In the first O site, O(3) is bonded in a 3-coordinate geometry to two equivalent Ba(1), one Lu(1), one Co(2), and one Co(3) atom. In the second O site, O(4) is bonded in a tetrahedral geometry to one Co(1), one Co(2), one Co(3), and one Co(4) atom. In the third O site, O(5) is bonded in a 3-coordinate geometry to two equivalent Ba(1), one Lu(1), one Co(1), and one Co(3) atom. In the fourth O site, O(6) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(1), and one Co(4) atom. In the fifth O site, O(7) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(1), and one Co(2) atom. In the sixth O site, O(1) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(3), and one Co(4) atom. In the seventh O site, O(2) is bonded in a 4-coordinate geometry to one Ba(1), one Lu(1), one Co(2), and one Co(4) atom. is represented by the CIF card [CIF]
data_BaLuCo4O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.310
_cell_length_b   10.284
_cell_length_c   10.996
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   713.524
_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
  Ba  Ba0  1  0.493  0.502  0.836  1.0
  Ba  Ba1  1  0.507  0.002  0.164  1.0
  Ba  Ba2  1  0.993  0.002  0.664  1.0
  Ba  Ba3  1  0.007  0.502  0.336  1.0
  Lu  Lu4  1  0.503  0.127  0.830  1.0
  Lu  Lu5  1  0.497  0.627  0.170  1.0
  Lu  Lu6  1  0.003  0.627  0.670  1.0
  Lu  Lu7  1  0.997  0.127  0.330  1.0
  Co  Co8  1  0.500  0.061  0.501  1.0
  Co  Co9  1  0.500  0.561  0.499  1.0
  Co  Co10  1  0.000  0.561  0.999  1.0
  Co  Co11  1  1.000  0.061  0.001  1.0
  Co  Co12  1  0.758  0.320  0.583  1.0
  Co  Co13  1  0.242  0.820  0.417  1.0
  Co  Co14  1  0.258  0.820  0.917  1.0
  Co  Co15  1  0.742  0.320  0.083  1.0
  Co  Co16  1  0.755  0.815  0.411  1.0
  Co  Co17  1  0.245  0.315  0.589  1.0
  Co  Co18  1  0.255  0.315  0.089  1.0
  Co  Co19  1  0.745  0.815  0.911  1.0
  Co  Co20  1  0.501  0.317  0.327  1.0
  Co  Co21  1  0.499  0.817  0.673  1.0
  Co  Co22  1  0.001  0.817  0.173  1.0
  Co  Co23  1  0.999  0.317  0.827  1.0
  O  O24  1  0.275  0.221  0.244  1.0
  O  O25  1  0.725  0.721  0.756  1.0
  O  O26  1  0.775  0.721  0.256  1.0
  O  O27  1  0.225  0.221  0.744  1.0
  O  O28  1  0.219  0.779  0.753  1.0
  O  O29  1  0.781  0.279  0.247  1.0
  O  O30  1  0.719  0.279  0.747  1.0
  O  O31  1  0.281  0.779  0.253  1.0
  O  O32  1  0.490  0.759  0.006  1.0
  O  O33  1  0.510  0.259  0.994  1.0
  O  O34  1  0.990  0.259  0.494  1.0
  O  O35  1  0.010  0.759  0.506  1.0
  O  O36  1  0.493  0.757  0.499  1.0
  O  O37  1  0.507  0.257  0.501  1.0
  O  O38  1  0.993  0.257  0.001  1.0
  O  O39  1  0.007  0.757  0.999  1.0
  O  O40  1  0.736  0.005  0.400  1.0
  O  O41  1  0.264  0.505  0.600  1.0
  O  O42  1  0.236  0.505  0.100  1.0
  O  O43  1  0.764  0.005  0.900  1.0
  O  O44  1  0.454  0.505  0.331  1.0
  O  O45  1  0.546  0.005  0.669  1.0
  O  O46  1  0.954  0.005  0.169  1.0
  O  O47  1  0.046  0.505  0.831  1.0
  O  O48  1  0.776  0.503  0.566  1.0
  O  O49  1  0.224  0.003  0.434  1.0
  O  O50  1  0.276  0.003  0.934  1.0
  O  O51  1  0.724  0.503  0.066  1.0
[/CIF]
.