The structure described by Li5Co4(BO3)4 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(5), one O(7), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(2)O4 tetrahedra, corners with three equivalent Co(4)O4 trigonal pyramids, and  an edgeedge with one Li(3)O4 trigonal pyramid. In the second Li site, Li(2) is bonded in a trigonal planar geometry to one O(2), one O(3), and one O(8) atom. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(5), and one O(7) atom to form distorted LiO4 trigonal pyramids that share corners with three equivalent Co(2)O4 tetrahedra,  an edgeedge with one Li(1)O4 tetrahedra, and  an edgeedge with one Co(4)O4 trigonal pyramid. In the fourth Li site, Li(4) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(4), one O(6), and one O(7) atom. In the fifth Li site, Li(5) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(4), one O(6), and one O(8) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a tetrahedral geometry to one O(1), one O(3), one O(4), and one O(6) atom. In the second Co site, Co(2) is bonded to one O(10), one O(11), one O(2), and one O(5) atom to form CoO4 tetrahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Co(4)O4 trigonal pyramid, and corners with three equivalent Li(3)O4 trigonal pyramids. In the third Co site, Co(3) is bonded in a 4-coordinate geometry to one O(11), one O(2), one O(3), and one O(8) atom. In the fourth Co site, Co(4) is bonded to one O(10), one O(12), one O(7), and one O(9) atom to form distorted CoO4 trigonal pyramids that share  a cornercorner with one Co(2)O4 tetrahedra, corners with three equivalent Li(1)O4 tetrahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. There are four inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(2), one O(3), and one O(8) atom. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(1), one O(4), and one O(6) atom. In the third B site, B(3) is bonded in a trigonal planar geometry to one O(12), one O(7), and one O(9) atom. In the fourth B site, B(4) is bonded in a trigonal planar geometry to one O(10), one O(11), and one O(5) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(1), and one B(2) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Co(3), and one B(1) atom. In the third O site, O(3) is bonded in a distorted tetrahedral geometry to one Li(2), one Co(1), one Co(3), and one B(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(1), and one B(2) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Li(1), one Li(3), one Co(2), and one B(4) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(1), and one B(2) atom. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one Li(1), one Li(3), one Li(4), one Co(4), and one B(3) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Li(5), one Co(3), and one B(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(4), and one B(3) atom. In the tenth O site, O(10) is bonded in a distorted tetrahedral geometry to one Li(3), one Co(2), one Co(4), and one B(4) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(3), one Co(2), one Co(3), and one B(4) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(4), and one B(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Co4(BO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.112
_cell_length_b   5.050
_cell_length_c   11.680
_cell_angle_alpha   87.416
_cell_angle_beta   89.490
_cell_angle_gamma   60.125
_symmetry_Int_Tables_number   1
_cell_volume   261.169
_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  0.322  0.666  0.332  1.0
  Li  Li1  1  0.333  0.661  0.908  1.0
  Li  Li2  1  0.663  0.319  0.159  1.0
  Li  Li3  1  0.644  0.350  0.531  1.0
  Li  Li4  1  0.628  0.351  0.720  1.0
  Co  Co5  1  0.985  0.672  0.654  1.0
  Co  Co6  1  0.318  0.019  0.098  1.0
  Co  Co7  1  0.716  0.943  0.909  1.0
  Co  Co8  1  0.016  0.327  0.341  1.0
  B  B9  1  0.008  0.338  0.879  1.0
  B  B10  1  0.319  0.011  0.620  1.0
  B  B11  1  0.676  0.982  0.368  1.0
  B  B12  1  0.997  0.670  0.135  1.0
  O  O13  1  0.031  0.269  0.611  1.0
  O  O14  1  0.259  0.080  0.927  1.0
  O  O15  1  0.044  0.581  0.832  1.0
  O  O16  1  0.575  0.043  0.628  1.0
  O  O17  1  0.272  0.660  0.141  1.0
  O  O18  1  0.350  0.719  0.624  1.0
  O  O19  1  0.664  0.267  0.365  1.0
  O  O20  1  0.732  0.354  0.876  1.0
  O  O21  1  0.416  0.972  0.353  1.0
  O  O22  1  0.989  0.401  0.163  1.0
  O  O23  1  0.737  0.940  0.107  1.0
  O  O24  1  0.951  0.721  0.385  1.0
[/CIF]
.
The structure described by Li5Co4(BO3)4 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(5), one O(7), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(2)O4 tetrahedra, corners with three equivalent Co(4)O4 trigonal pyramids, and  an edgeedge with one Li(3)O4 trigonal pyramid. In the second Li site, Li(2) is bonded in a trigonal planar geometry to one O(2), one O(3), and one O(8) atom. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(5), and one O(7) atom to form distorted LiO4 trigonal pyramids that share corners with three equivalent Co(2)O4 tetrahedra,  an edgeedge with one Li(1)O4 tetrahedra, and  an edgeedge with one Co(4)O4 trigonal pyramid. In the fourth Li site, Li(4) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(4), one O(6), and one O(7) atom. In the fifth Li site, Li(5) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(4), one O(6), and one O(8) atom. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a tetrahedral geometry to one O(1), one O(3), one O(4), and one O(6) atom. In the second Co site, Co(2) is bonded to one O(10), one O(11), one O(2), and one O(5) atom to form CoO4 tetrahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Co(4)O4 trigonal pyramid, and corners with three equivalent Li(3)O4 trigonal pyramids. In the third Co site, Co(3) is bonded in a 4-coordinate geometry to one O(11), one O(2), one O(3), and one O(8) atom. In the fourth Co site, Co(4) is bonded to one O(10), one O(12), one O(7), and one O(9) atom to form distorted CoO4 trigonal pyramids that share  a cornercorner with one Co(2)O4 tetrahedra, corners with three equivalent Li(1)O4 tetrahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. There are four inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(2), one O(3), and one O(8) atom. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(1), one O(4), and one O(6) atom. In the third B site, B(3) is bonded in a trigonal planar geometry to one O(12), one O(7), and one O(9) atom. In the fourth B site, B(4) is bonded in a trigonal planar geometry to one O(10), one O(11), and one O(5) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(1), and one B(2) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Co(3), and one B(1) atom. In the third O site, O(3) is bonded in a distorted tetrahedral geometry to one Li(2), one Co(1), one Co(3), and one B(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(1), and one B(2) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Li(1), one Li(3), one Co(2), and one B(4) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(1), and one B(2) atom. In the seventh O site, O(7) is bonded in a 5-coordinate geometry to one Li(1), one Li(3), one Li(4), one Co(4), and one B(3) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Li(5), one Co(3), and one B(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(4), and one B(3) atom. In the tenth O site, O(10) is bonded in a distorted tetrahedral geometry to one Li(3), one Co(2), one Co(4), and one B(4) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(3), one Co(2), one Co(3), and one B(4) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(4), and one B(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Co4(BO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.112
_cell_length_b   5.050
_cell_length_c   11.680
_cell_angle_alpha   87.416
_cell_angle_beta   89.490
_cell_angle_gamma   60.125
_symmetry_Int_Tables_number   1
_cell_volume   261.169
_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  0.322  0.666  0.332  1.0
  Li  Li1  1  0.333  0.661  0.908  1.0
  Li  Li2  1  0.663  0.319  0.159  1.0
  Li  Li3  1  0.644  0.350  0.531  1.0
  Li  Li4  1  0.628  0.351  0.720  1.0
  Co  Co5  1  0.985  0.672  0.654  1.0
  Co  Co6  1  0.318  0.019  0.098  1.0
  Co  Co7  1  0.716  0.943  0.909  1.0
  Co  Co8  1  0.016  0.327  0.341  1.0
  B  B9  1  0.008  0.338  0.879  1.0
  B  B10  1  0.319  0.011  0.620  1.0
  B  B11  1  0.676  0.982  0.368  1.0
  B  B12  1  0.997  0.670  0.135  1.0
  O  O13  1  0.031  0.269  0.611  1.0
  O  O14  1  0.259  0.080  0.927  1.0
  O  O15  1  0.044  0.581  0.832  1.0
  O  O16  1  0.575  0.043  0.628  1.0
  O  O17  1  0.272  0.660  0.141  1.0
  O  O18  1  0.350  0.719  0.624  1.0
  O  O19  1  0.664  0.267  0.365  1.0
  O  O20  1  0.732  0.354  0.876  1.0
  O  O21  1  0.416  0.972  0.353  1.0
  O  O22  1  0.989  0.401  0.163  1.0
  O  O23  1  0.737  0.940  0.107  1.0
  O  O24  1  0.951  0.721  0.385  1.0
[/CIF]
.