The structure described by Li3Co2(CO3)4 crystallizes in the triclinic P1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13), one O(3), one O(6), and one O(8) atom to form distorted LiO4 trigonal pyramids that share corners with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. In the second Li site, Li(2) is bonded to one O(14), one O(4), one O(5), and one O(7) atom to form distorted LiO4 tetrahedra that share  an edgeedge with one Co(2)O5 trigonal bipyramid. In the third Li site, Li(3) is bonded to one O(15), one O(18), one O(22), and one O(9) atom to form corner-sharing LiO4 tetrahedra. In the fourth Li site, Li(4) is bonded to one O(10), one O(16), one O(17), and one O(21) atom to form LiO4 trigonal pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(5)O5 trigonal bipyramid,  a cornercorner with one Li(6)O5 trigonal bipyramid, and  a cornercorner with one Co(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 36-60°. In the fifth Li site, Li(5) is bonded to one O(1), one O(15), one O(19), one O(21), and one O(23) atom to form distorted LiO5 trigonal bipyramids that share  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Co(3)O6 octahedra. In the sixth Li site, Li(6) is bonded to one O(16), one O(2), one O(20), one O(22), and one O(24) atom to form distorted LiO5 trigonal bipyramids that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 67°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 6-coordinate geometry to one O(18), one O(2), one O(22), one O(23), one O(5), and one O(7) atom. In the second Co site, Co(2) is bonded to one O(10), one O(12), one O(14), one O(20), and one O(4) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Li(6)O5 trigonal bipyramid,  a cornercorner with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(2)O4 tetrahedra. In the third Co site, Co(3) is bonded to one O(1), one O(17), one O(21), one O(24), one O(6), and one O(8) atom to form distorted CoO6 octahedra that share  a cornercorner with one Li(6)O5 trigonal bipyramid, corners with two equivalent Li(1)O4 trigonal pyramids, corners with two equivalent Li(4)O4 trigonal pyramids, and  an edgeedge with one Li(5)O5 trigonal bipyramid. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to one O(11), one O(13), one O(15), one O(19), one O(3), and one O(9) atom. There are eight inequivalent C sites. In the first C site, C(1) is bonded in a trigonal planar geometry to one O(1), one O(11), and one O(3) atom. In the second C site, C(2) is bonded in a trigonal planar geometry to one O(12), one O(2), and one O(4) atom. In the third C site, C(3) is bonded in a trigonal planar geometry to one O(5), one O(7), and one O(9) atom. In the fourth C site, C(4) is bonded in a trigonal planar geometry to one O(10), one O(6), and one O(8) atom. In the fifth C site, C(5) is bonded in a trigonal planar geometry to one O(13), one O(17), and one O(21) atom. In the sixth C site, C(6) is bonded in a trigonal planar geometry to one O(14), one O(18), and one O(22) atom. In the seventh C site, C(7) is bonded in a trigonal planar geometry to one O(15), one O(19), and one O(23) atom. In the eighth C site, C(8) is bonded in a trigonal planar geometry to one O(16), one O(20), and one O(24) atom. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Li(5), one Co(3), and one C(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Li(6), one Co(1), and one C(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Li(1), one Co(4), and one C(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Li(2), one Co(2), and one C(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Li(2), one Co(1), and one C(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Li(1), one Co(3), and one C(4) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Li(2), one Co(1), and one C(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Li(1), one Co(3), and one C(4) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Li(3), one Co(4), and one C(3) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Li(4), one Co(2), and one C(4) atom. In the eleventh O site, O(11) is bonded in an L-shaped geometry to one Co(4) and one C(1) atom. In the twelfth O site, O(12) is bonded in an L-shaped geometry to one Co(2) and one C(2) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(4), and one C(5) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Li(2), one Co(2), and one C(6) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(3), one Li(5), one Co(4), and one C(7) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Li(4), one Li(6), and one C(8) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Li(4), one Co(3), and one C(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Li(3), one Co(1), and one C(6) atom. In the nineteenth O site, O(19) is bonded in a T-shaped geometry to one Li(5), one Co(4), and one C(7) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one Li(6), one Co(2), and one C(8) atom. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(3), and one C(5) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Li(3), one Li(6), one Co(1), and one C(6) atom. In the twenty-third O site, O(23) is bonded in a 3-coordinate geometry to one Li(5), one Co(1), and one C(7) atom. In the twenty-fourth O site, O(24) is bonded in a distorted trigonal non-coplanar geometry to one Li(6), one Co(3), and one C(8) atom. is represented by the CIF file [CIF]
data_Li3Co2(CO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.406
_cell_length_b   11.530
_cell_length_c   8.424
_cell_angle_alpha   88.531
_cell_angle_beta   73.177
_cell_angle_gamma   89.516
_symmetry_Int_Tables_number   1
_cell_volume   502.404
_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
  Li  Li0  1  0.003  0.478  0.312  1.0
  Li  Li1  1  0.492  0.978  0.317  1.0
  Li  Li2  1  0.814  0.025  0.677  1.0
  Li  Li3  1  0.313  0.526  0.673  1.0
  Li  Li4  1  0.485  0.265  0.850  1.0
  Li  Li5  1  0.971  0.762  0.845  1.0
  Co  Co6  1  0.134  0.999  0.000  1.0
  Co  Co7  1  0.628  0.758  0.482  1.0
  Co  Co8  1  0.636  0.498  0.005  1.0
  Co  Co9  1  0.085  0.253  0.493  1.0
  C  C10  1  0.366  0.304  0.212  1.0
  C  C11  1  0.866  0.806  0.207  1.0
  C  C12  1  0.017  0.061  0.297  1.0
  C  C13  1  0.534  0.562  0.300  1.0
  C  C14  1  0.819  0.441  0.698  1.0
  C  C15  1  0.333  0.940  0.696  1.0
  C  C16  1  0.073  0.197  0.787  1.0
  C  C17  1  0.541  0.693  0.796  1.0
  O  O18  1  0.514  0.328  0.066  1.0
  O  O19  1  0.993  0.831  0.058  1.0
  O  O20  1  0.115  0.310  0.250  1.0
  O  O21  1  0.612  0.803  0.258  1.0
  O  O22  1  0.833  0.042  0.235  1.0
  O  O23  1  0.344  0.541  0.244  1.0
  O  O24  1  0.251  0.040  0.207  1.0
  O  O25  1  0.766  0.544  0.203  1.0
  O  O26  1  0.974  0.099  0.449  1.0
  O  O27  1  0.502  0.599  0.451  1.0
  O  O28  1  0.451  0.273  0.336  1.0
  O  O29  1  0.969  0.783  0.326  1.0
  O  O30  1  0.926  0.409  0.546  1.0
  O  O31  1  0.453  0.912  0.544  1.0
  O  O32  1  0.854  0.192  0.750  1.0
  O  O33  1  0.320  0.687  0.770  1.0
  O  O34  1  0.959  0.472  0.791  1.0
  O  O35  1  0.462  0.968  0.798  1.0
  O  O36  1  0.271  0.236  0.669  1.0
  O  O37  1  0.741  0.728  0.671  1.0
  O  O38  1  0.570  0.442  0.762  1.0
  O  O39  1  0.083  0.941  0.751  1.0
  O  O40  1  0.104  0.167  0.927  1.0
  O  O41  1  0.595  0.668  0.931  1.0
[/CIF]
.
The structure described by Li3Co2(CO3)4 crystallizes in the triclinic P1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13), one O(3), one O(6), and one O(8) atom to form distorted LiO4 trigonal pyramids that share corners with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. In the second Li site, Li(2) is bonded to one O(14), one O(4), one O(5), and one O(7) atom to form distorted LiO4 tetrahedra that share  an edgeedge with one Co(2)O5 trigonal bipyramid. In the third Li site, Li(3) is bonded to one O(15), one O(18), one O(22), and one O(9) atom to form corner-sharing LiO4 tetrahedra. In the fourth Li site, Li(4) is bonded to one O(10), one O(16), one O(17), and one O(21) atom to form LiO4 trigonal pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(5)O5 trigonal bipyramid,  a cornercorner with one Li(6)O5 trigonal bipyramid, and  a cornercorner with one Co(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 36-60°. In the fifth Li site, Li(5) is bonded to one O(1), one O(15), one O(19), one O(21), and one O(23) atom to form distorted LiO5 trigonal bipyramids that share  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Co(3)O6 octahedra. In the sixth Li site, Li(6) is bonded to one O(16), one O(2), one O(20), one O(22), and one O(24) atom to form distorted LiO5 trigonal bipyramids that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  a cornercorner with one Li(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 67°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 6-coordinate geometry to one O(18), one O(2), one O(22), one O(23), one O(5), and one O(7) atom. In the second Co site, Co(2) is bonded to one O(10), one O(12), one O(14), one O(20), and one O(4) atom to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Li(6)O5 trigonal bipyramid,  a cornercorner with one Li(4)O4 trigonal pyramid, and  an edgeedge with one Li(2)O4 tetrahedra. In the third Co site, Co(3) is bonded to one O(1), one O(17), one O(21), one O(24), one O(6), and one O(8) atom to form distorted CoO6 octahedra that share  a cornercorner with one Li(6)O5 trigonal bipyramid, corners with two equivalent Li(1)O4 trigonal pyramids, corners with two equivalent Li(4)O4 trigonal pyramids, and  an edgeedge with one Li(5)O5 trigonal bipyramid. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to one O(11), one O(13), one O(15), one O(19), one O(3), and one O(9) atom. There are eight inequivalent C sites. In the first C site, C(1) is bonded in a trigonal planar geometry to one O(1), one O(11), and one O(3) atom. In the second C site, C(2) is bonded in a trigonal planar geometry to one O(12), one O(2), and one O(4) atom. In the third C site, C(3) is bonded in a trigonal planar geometry to one O(5), one O(7), and one O(9) atom. In the fourth C site, C(4) is bonded in a trigonal planar geometry to one O(10), one O(6), and one O(8) atom. In the fifth C site, C(5) is bonded in a trigonal planar geometry to one O(13), one O(17), and one O(21) atom. In the sixth C site, C(6) is bonded in a trigonal planar geometry to one O(14), one O(18), and one O(22) atom. In the seventh C site, C(7) is bonded in a trigonal planar geometry to one O(15), one O(19), and one O(23) atom. In the eighth C site, C(8) is bonded in a trigonal planar geometry to one O(16), one O(20), and one O(24) atom. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Li(5), one Co(3), and one C(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Li(6), one Co(1), and one C(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Li(1), one Co(4), and one C(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Li(2), one Co(2), and one C(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Li(2), one Co(1), and one C(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Li(1), one Co(3), and one C(4) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Li(2), one Co(1), and one C(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Li(1), one Co(3), and one C(4) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Li(3), one Co(4), and one C(3) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Li(4), one Co(2), and one C(4) atom. In the eleventh O site, O(11) is bonded in an L-shaped geometry to one Co(4) and one C(1) atom. In the twelfth O site, O(12) is bonded in an L-shaped geometry to one Co(2) and one C(2) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(4), and one C(5) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Li(2), one Co(2), and one C(6) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(3), one Li(5), one Co(4), and one C(7) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Li(4), one Li(6), and one C(8) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Li(4), one Co(3), and one C(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Li(3), one Co(1), and one C(6) atom. In the nineteenth O site, O(19) is bonded in a T-shaped geometry to one Li(5), one Co(4), and one C(7) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one Li(6), one Co(2), and one C(8) atom. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Li(4), one Li(5), one Co(3), and one C(5) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Li(3), one Li(6), one Co(1), and one C(6) atom. In the twenty-third O site, O(23) is bonded in a 3-coordinate geometry to one Li(5), one Co(1), and one C(7) atom. In the twenty-fourth O site, O(24) is bonded in a distorted trigonal non-coplanar geometry to one Li(6), one Co(3), and one C(8) atom. is represented by the CIF file [CIF]
data_Li3Co2(CO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.406
_cell_length_b   11.530
_cell_length_c   8.424
_cell_angle_alpha   88.531
_cell_angle_beta   73.177
_cell_angle_gamma   89.516
_symmetry_Int_Tables_number   1
_cell_volume   502.404
_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
  Li  Li0  1  0.003  0.478  0.312  1.0
  Li  Li1  1  0.492  0.978  0.317  1.0
  Li  Li2  1  0.814  0.025  0.677  1.0
  Li  Li3  1  0.313  0.526  0.673  1.0
  Li  Li4  1  0.485  0.265  0.850  1.0
  Li  Li5  1  0.971  0.762  0.845  1.0
  Co  Co6  1  0.134  0.999  0.000  1.0
  Co  Co7  1  0.628  0.758  0.482  1.0
  Co  Co8  1  0.636  0.498  0.005  1.0
  Co  Co9  1  0.085  0.253  0.493  1.0
  C  C10  1  0.366  0.304  0.212  1.0
  C  C11  1  0.866  0.806  0.207  1.0
  C  C12  1  0.017  0.061  0.297  1.0
  C  C13  1  0.534  0.562  0.300  1.0
  C  C14  1  0.819  0.441  0.698  1.0
  C  C15  1  0.333  0.940  0.696  1.0
  C  C16  1  0.073  0.197  0.787  1.0
  C  C17  1  0.541  0.693  0.796  1.0
  O  O18  1  0.514  0.328  0.066  1.0
  O  O19  1  0.993  0.831  0.058  1.0
  O  O20  1  0.115  0.310  0.250  1.0
  O  O21  1  0.612  0.803  0.258  1.0
  O  O22  1  0.833  0.042  0.235  1.0
  O  O23  1  0.344  0.541  0.244  1.0
  O  O24  1  0.251  0.040  0.207  1.0
  O  O25  1  0.766  0.544  0.203  1.0
  O  O26  1  0.974  0.099  0.449  1.0
  O  O27  1  0.502  0.599  0.451  1.0
  O  O28  1  0.451  0.273  0.336  1.0
  O  O29  1  0.969  0.783  0.326  1.0
  O  O30  1  0.926  0.409  0.546  1.0
  O  O31  1  0.453  0.912  0.544  1.0
  O  O32  1  0.854  0.192  0.750  1.0
  O  O33  1  0.320  0.687  0.770  1.0
  O  O34  1  0.959  0.472  0.791  1.0
  O  O35  1  0.462  0.968  0.798  1.0
  O  O36  1  0.271  0.236  0.669  1.0
  O  O37  1  0.741  0.728  0.671  1.0
  O  O38  1  0.570  0.442  0.762  1.0
  O  O39  1  0.083  0.941  0.751  1.0
  O  O40  1  0.104  0.167  0.927  1.0
  O  O41  1  0.595  0.668  0.931  1.0
[/CIF]
.