The crystal structure described by Li4V2Mn3Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-63°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent V(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-66°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second V site, V(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted VO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent V(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, edges with four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent V(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent V(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent V(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one V(1), one Mn(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one V(1), and two equivalent Co(1) atoms to form distorted OLiVCo2 tetrahedra that share  a cornercorner with one O(10)LiMn2Co tetrahedra and corners with two equivalent O(4)LiMnCo2 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Co(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Co(1) atoms to form corner-sharing OLiMnCo2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Co(2) atom to form OLiMn2Co tetrahedra that share corners with two equivalent O(12)LiMn2V tetrahedra, corners with three equivalent O(10)LiMn2Co tetrahedra, and corners with four equivalent O(9)LiMnVCo tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Mn(1), and one Co(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), one V(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one V(2), one Mn(2), and one Co(2) atom to form distorted OLiMnVCo tetrahedra that share  a cornercorner with one O(12)LiMn2V tetrahedra,  a cornercorner with one O(9)LiMnVCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(10)LiMn2Co tetrahedra,  an edgeedge with one O(12)LiMn2V tetrahedra, and  an edgeedge with one O(9)LiMnVCo tetrahedra. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Mn(2), and one Co(2) atom to form distorted OLiMn2Co tetrahedra that share  a cornercorner with one O(2)LiVCo2 tetrahedra, corners with three equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(12)LiMn2V tetrahedra, and edges with two equivalent O(9)LiMnVCo tetrahedra. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), one Mn(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), and two equivalent Mn(2) atoms to form distorted OLiMn2V tetrahedra that share corners with two equivalent O(5)LiMn2Co tetrahedra, corners with two equivalent O(9)LiMnVCo tetrahedra,  an edgeedge with one O(10)LiMn2Co tetrahedra, and edges with two equivalent O(9)LiMnVCo tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn3V2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.856
_cell_length_b   5.856
_cell_length_c   9.496
_cell_angle_alpha   89.367
_cell_angle_beta   89.367
_cell_angle_gamma   59.895
_symmetry_Int_Tables_number   1
_cell_volume   281.641
_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  0.669  0.669  0.897  1.0
  Li  Li1  1  0.997  0.997  0.999  1.0
  Li  Li2  1  0.003  0.003  0.488  1.0
  Li  Li3  1  0.335  0.335  0.401  1.0
  Mn  Mn4  1  0.824  0.824  0.218  1.0
  Mn  Mn5  1  0.663  0.170  0.716  1.0
  Mn  Mn6  1  0.170  0.663  0.716  1.0
  V  V7  1  0.660  0.660  0.483  1.0
  V  V8  1  0.327  0.327  0.997  1.0
  Co  Co9  1  0.825  0.341  0.213  1.0
  Co  Co10  1  0.341  0.825  0.213  1.0
  Co  Co11  1  0.170  0.170  0.711  1.0
  O  O12  1  0.833  0.331  0.600  1.0
  O  O13  1  0.523  0.523  0.364  1.0
  O  O14  1  0.671  0.671  0.106  1.0
  O  O15  1  0.993  0.993  0.299  1.0
  O  O16  1  0.002  0.002  0.808  1.0
  O  O17  1  0.331  0.833  0.600  1.0
  O  O18  1  0.965  0.535  0.347  1.0
  O  O19  1  0.535  0.965  0.347  1.0
  O  O20  1  0.171  0.171  0.080  1.0
  O  O21  1  0.839  0.839  0.604  1.0
  O  O22  1  0.488  0.042  0.840  1.0
  O  O23  1  0.042  0.488  0.840  1.0
  O  O24  1  0.335  0.335  0.612  1.0
  O  O25  1  0.647  0.160  0.087  1.0
  O  O26  1  0.481  0.481  0.836  1.0
  O  O27  1  0.160  0.647  0.087  1.0
[/CIF]
.
The crystal structure described by Li4V2Mn3Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-63°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent V(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-66°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second V site, V(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted VO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent V(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, edges with four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent V(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent V(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent V(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one V(1), one Mn(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one V(1), and two equivalent Co(1) atoms to form distorted OLiVCo2 tetrahedra that share  a cornercorner with one O(10)LiMn2Co tetrahedra and corners with two equivalent O(4)LiMnCo2 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Co(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Co(1) atoms to form corner-sharing OLiMnCo2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Co(2) atom to form OLiMn2Co tetrahedra that share corners with two equivalent O(12)LiMn2V tetrahedra, corners with three equivalent O(10)LiMn2Co tetrahedra, and corners with four equivalent O(9)LiMnVCo tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Mn(1), and one Co(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), one V(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one V(2), one Mn(2), and one Co(2) atom to form distorted OLiMnVCo tetrahedra that share  a cornercorner with one O(12)LiMn2V tetrahedra,  a cornercorner with one O(9)LiMnVCo tetrahedra, corners with two equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(10)LiMn2Co tetrahedra,  an edgeedge with one O(12)LiMn2V tetrahedra, and  an edgeedge with one O(9)LiMnVCo tetrahedra. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Mn(2), and one Co(2) atom to form distorted OLiMn2Co tetrahedra that share  a cornercorner with one O(2)LiVCo2 tetrahedra, corners with three equivalent O(5)LiMn2Co tetrahedra,  an edgeedge with one O(12)LiMn2V tetrahedra, and edges with two equivalent O(9)LiMnVCo tetrahedra. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), one Mn(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), and two equivalent Mn(2) atoms to form distorted OLiMn2V tetrahedra that share corners with two equivalent O(5)LiMn2Co tetrahedra, corners with two equivalent O(9)LiMnVCo tetrahedra,  an edgeedge with one O(10)LiMn2Co tetrahedra, and edges with two equivalent O(9)LiMnVCo tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn3V2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.856
_cell_length_b   5.856
_cell_length_c   9.496
_cell_angle_alpha   89.367
_cell_angle_beta   89.367
_cell_angle_gamma   59.895
_symmetry_Int_Tables_number   1
_cell_volume   281.641
_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  0.669  0.669  0.897  1.0
  Li  Li1  1  0.997  0.997  0.999  1.0
  Li  Li2  1  0.003  0.003  0.488  1.0
  Li  Li3  1  0.335  0.335  0.401  1.0
  Mn  Mn4  1  0.824  0.824  0.218  1.0
  Mn  Mn5  1  0.663  0.170  0.716  1.0
  Mn  Mn6  1  0.170  0.663  0.716  1.0
  V  V7  1  0.660  0.660  0.483  1.0
  V  V8  1  0.327  0.327  0.997  1.0
  Co  Co9  1  0.825  0.341  0.213  1.0
  Co  Co10  1  0.341  0.825  0.213  1.0
  Co  Co11  1  0.170  0.170  0.711  1.0
  O  O12  1  0.833  0.331  0.600  1.0
  O  O13  1  0.523  0.523  0.364  1.0
  O  O14  1  0.671  0.671  0.106  1.0
  O  O15  1  0.993  0.993  0.299  1.0
  O  O16  1  0.002  0.002  0.808  1.0
  O  O17  1  0.331  0.833  0.600  1.0
  O  O18  1  0.965  0.535  0.347  1.0
  O  O19  1  0.535  0.965  0.347  1.0
  O  O20  1  0.171  0.171  0.080  1.0
  O  O21  1  0.839  0.839  0.604  1.0
  O  O22  1  0.488  0.042  0.840  1.0
  O  O23  1  0.042  0.488  0.840  1.0
  O  O24  1  0.335  0.335  0.612  1.0
  O  O25  1  0.647  0.160  0.087  1.0
  O  O26  1  0.481  0.481  0.836  1.0
  O  O27  1  0.160  0.647  0.087  1.0
[/CIF]
.