The crystal structure described by Li5Fe2Co3O10 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(4), two equivalent O(3), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-11°. In the second Li site, Li(2) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Li site, Li(3) is bonded to two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. Fe(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form FeO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with four equivalent Li(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Co site, Co(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-11°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Fe(1), one Co(1), and two equivalent Co(2) atoms to form OLi2FeCo3 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra, corners with two equivalent O(5)Li4FeCo octahedra,  an edgeedge with one O(1)Li2FeCo3 octahedra, edges with two equivalent O(3)Li4Fe2 octahedra, edges with two equivalent O(5)Li4FeCo octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(2)Li2FeCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to two equivalent Li(2), one Fe(1), one Co(1), and two equivalent Co(2) atoms to form OLi2FeCo3 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(3)Li4Fe2 octahedra,  an edgeedge with one O(3)Li4Fe2 octahedra, edges with two equivalent O(2)Li2FeCo3 octahedra, edges with two equivalent O(5)Li4FeCo octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(1)Li2FeCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the third O site, O(3) is bonded to one Li(2), one Li(3), two equivalent Li(1), and two equivalent Fe(1) atoms to form OLi4Fe2 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(2)Li2FeCo3 octahedra,  an edgeedge with one O(2)Li2FeCo3 octahedra, edges with two equivalent O(1)Li2FeCo3 octahedra, edges with two equivalent O(3)Li4Fe2 octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(5)Li4FeCo octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Fe(1), one Co(1), and one Co(2) atom to form OLi3FeCo2 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(4)Li3FeCo2 octahedra, edges with three equivalent O(1)Li2FeCo3 octahedra, edges with three equivalent O(2)Li2FeCo3 octahedra, edges with three equivalent O(3)Li4Fe2 octahedra, and edges with three equivalent O(5)Li4FeCo octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), two equivalent Li(1), one Fe(1), and one Co(2) atom to form OLi4FeCo octahedra that share  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(1)Li2FeCo3 octahedra,  an edgeedge with one O(5)Li4FeCo octahedra, edges with two equivalent O(1)Li2FeCo3 octahedra, edges with two equivalent O(2)Li2FeCo3 octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(3)Li4Fe2 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Fe2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.157
_cell_length_b   5.166
_cell_length_c   7.782
_cell_angle_alpha   103.923
_cell_angle_beta   108.449
_cell_angle_gamma   99.063
_symmetry_Int_Tables_number   1
_cell_volume   184.646
_cell_formula_units_Z   1
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  0.080  0.791  0.587  1.0
  Li  Li1  1  0.704  0.601  0.212  1.0
  Li  Li2  1  0.500  0.500  0.500  1.0
  Li  Li3  1  0.296  0.399  0.788  1.0
  Li  Li4  1  0.920  0.209  0.413  1.0
  Fe  Fe5  1  0.308  0.901  0.308  1.0
  Fe  Fe6  1  0.692  0.099  0.692  1.0
  Co  Co7  1  0.500  0.000  0.000  1.0
  Co  Co8  1  0.101  0.307  0.110  1.0
  Co  Co9  1  0.899  0.693  0.890  1.0
  O  O10  1  0.908  0.947  0.140  1.0
  O  O11  1  0.288  0.658  0.050  1.0
  O  O12  1  0.686  0.857  0.452  1.0
  O  O13  1  0.514  0.774  0.770  1.0
  O  O14  1  0.103  0.542  0.333  1.0
  O  O15  1  0.897  0.458  0.667  1.0
  O  O16  1  0.486  0.226  0.230  1.0
  O  O17  1  0.314  0.143  0.548  1.0
  O  O18  1  0.712  0.342  0.950  1.0
  O  O19  1  0.092  0.053  0.860  1.0
[/CIF]
.
The crystal structure described by Li5Fe2Co3O10 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(4), two equivalent O(3), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-11°. In the second Li site, Li(2) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Li site, Li(3) is bonded to two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with four equivalent Li(1)O6 octahedra, and edges with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. Fe(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form FeO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with four equivalent Li(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the second Co site, Co(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-11°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Fe(1), one Co(1), and two equivalent Co(2) atoms to form OLi2FeCo3 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra, corners with two equivalent O(5)Li4FeCo octahedra,  an edgeedge with one O(1)Li2FeCo3 octahedra, edges with two equivalent O(3)Li4Fe2 octahedra, edges with two equivalent O(5)Li4FeCo octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(2)Li2FeCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to two equivalent Li(2), one Fe(1), one Co(1), and two equivalent Co(2) atoms to form OLi2FeCo3 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(3)Li4Fe2 octahedra,  an edgeedge with one O(3)Li4Fe2 octahedra, edges with two equivalent O(2)Li2FeCo3 octahedra, edges with two equivalent O(5)Li4FeCo octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(1)Li2FeCo3 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the third O site, O(3) is bonded to one Li(2), one Li(3), two equivalent Li(1), and two equivalent Fe(1) atoms to form OLi4Fe2 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(2)Li2FeCo3 octahedra,  an edgeedge with one O(2)Li2FeCo3 octahedra, edges with two equivalent O(1)Li2FeCo3 octahedra, edges with two equivalent O(3)Li4Fe2 octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(5)Li4FeCo octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Fe(1), one Co(1), and one Co(2) atom to form OLi3FeCo2 octahedra that share  a cornercorner with one O(1)Li2FeCo3 octahedra,  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(4)Li3FeCo2 octahedra, edges with three equivalent O(1)Li2FeCo3 octahedra, edges with three equivalent O(2)Li2FeCo3 octahedra, edges with three equivalent O(3)Li4Fe2 octahedra, and edges with three equivalent O(5)Li4FeCo octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), two equivalent Li(1), one Fe(1), and one Co(2) atom to form OLi4FeCo octahedra that share  a cornercorner with one O(2)Li2FeCo3 octahedra,  a cornercorner with one O(4)Li3FeCo2 octahedra,  a cornercorner with one O(3)Li4Fe2 octahedra,  a cornercorner with one O(5)Li4FeCo octahedra, corners with two equivalent O(1)Li2FeCo3 octahedra,  an edgeedge with one O(5)Li4FeCo octahedra, edges with two equivalent O(1)Li2FeCo3 octahedra, edges with two equivalent O(2)Li2FeCo3 octahedra, edges with three equivalent O(4)Li3FeCo2 octahedra, and edges with four equivalent O(3)Li4Fe2 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Fe2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.157
_cell_length_b   5.166
_cell_length_c   7.782
_cell_angle_alpha   103.923
_cell_angle_beta   108.449
_cell_angle_gamma   99.063
_symmetry_Int_Tables_number   1
_cell_volume   184.646
_cell_formula_units_Z   1
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  0.080  0.791  0.587  1.0
  Li  Li1  1  0.704  0.601  0.212  1.0
  Li  Li2  1  0.500  0.500  0.500  1.0
  Li  Li3  1  0.296  0.399  0.788  1.0
  Li  Li4  1  0.920  0.209  0.413  1.0
  Fe  Fe5  1  0.308  0.901  0.308  1.0
  Fe  Fe6  1  0.692  0.099  0.692  1.0
  Co  Co7  1  0.500  0.000  0.000  1.0
  Co  Co8  1  0.101  0.307  0.110  1.0
  Co  Co9  1  0.899  0.693  0.890  1.0
  O  O10  1  0.908  0.947  0.140  1.0
  O  O11  1  0.288  0.658  0.050  1.0
  O  O12  1  0.686  0.857  0.452  1.0
  O  O13  1  0.514  0.774  0.770  1.0
  O  O14  1  0.103  0.542  0.333  1.0
  O  O15  1  0.897  0.458  0.667  1.0
  O  O16  1  0.486  0.226  0.230  1.0
  O  O17  1  0.314  0.143  0.548  1.0
  O  O18  1  0.712  0.342  0.950  1.0
  O  O19  1  0.092  0.053  0.860  1.0
[/CIF]
.