Li4Cr3Co3(WO8)2 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 Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 64-66°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. 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 Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent W(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-53°. In the second W site, W(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form WO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-53°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 W(1), one Cr(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one W(1), and two equivalent Cr(1) atoms to form distorted OLiCr2W tetrahedra that share corners with two equivalent O(4)LiCr2Co tetrahedra, corners with two equivalent O(6)LiCrCoW tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra, and edges with two equivalent O(6)LiCrCoW tetrahedra. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with three equivalent O(4)LiCr2Co tetrahedra, corners with two equivalent O(9)LiCrCoW trigonal pyramids,  an edgeedge with one O(2)LiCr2W tetrahedra, and edges with two equivalent O(6)LiCrCoW tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Co(1) atom to form OLiCr2Co tetrahedra that share corners with two equivalent O(2)LiCr2W tetrahedra, corners with three equivalent O(3)LiCr2Co tetrahedra, and corners with four equivalent O(6)LiCrCoW tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Co(2) atoms to form OLiCrCo2 tetrahedra that share corners with three equivalent O(10)LiCrCo2 trigonal pyramids and corners with four equivalent O(9)LiCrCoW trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one W(1), one Cr(1), and one Co(1) atom to form distorted OLiCrCoW tetrahedra that share  a cornercorner with one O(2)LiCr2W tetrahedra,  a cornercorner with one O(6)LiCrCoW tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra,  an edgeedge with one O(2)LiCr2W tetrahedra, and  an edgeedge with one O(6)LiCrCoW tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one W(2), and two equivalent Cr(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one W(1), and two equivalent Co(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one W(2), one Cr(2), and one Co(2) atom to form distorted OLiCrCoW trigonal pyramids that share  a cornercorner with one O(3)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(9)LiCrCoW trigonal pyramid,  an edgeedge with one O(10)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(9)LiCrCoW trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Co(2) atoms to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2W tetrahedra, corners with two equivalent O(6)LiCrCoW tetrahedra, corners with three equivalent O(5)LiCrCo2 tetrahedra, and edges with two equivalent O(9)LiCrCoW trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one W(2), one Cr(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), one W(2), and two equivalent Co(2) atoms.
Li4Cr3Co3(WO8)2 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 Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-64°. The Li(1)-O(12) bond length is 1.96 Å. The Li(1)-O(3) bond length is 1.97 Å. Both Li(1)-O(9) bond lengths are 1.97 Å. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 64-66°. The Li(2)-O(5) bond length is 1.82 Å. The Li(2)-O(7) bond length is 2.05 Å. Both Li(2)-O(11) bond lengths are 2.04 Å. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent W(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. The Li(3)-O(4) bond length is 1.82 Å. The Li(3)-O(8) bond length is 1.93 Å. Both Li(3)-O(1) bond lengths are 2.01 Å. 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 Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent W(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. The Li(4)-O(10) bond length is 1.99 Å. The Li(4)-O(2) bond length is 2.01 Å. Both Li(4)-O(6) bond lengths are 2.04 Å. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-53°. The W(1)-O(2) bond length is 2.07 Å. The W(1)-O(8) bond length is 1.85 Å. Both W(1)-O(1) bond lengths are 1.90 Å. Both W(1)-O(6) bond lengths are 2.08 Å. In the second W site, W(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form WO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. The W(2)-O(12) bond length is 1.91 Å. The W(2)-O(7) bond length is 2.02 Å. Both W(2)-O(11) bond lengths are 1.99 Å. Both W(2)-O(9) bond lengths are 1.98 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-53°. The Cr(1)-O(11) bond length is 2.12 Å. The Cr(1)-O(2) bond length is 2.04 Å. The Cr(1)-O(3) bond length is 1.97 Å. The Cr(1)-O(4) bond length is 1.98 Å. The Cr(1)-O(6) bond length is 2.03 Å. The Cr(1)-O(7) bond length is 2.07 Å. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. The Cr(2)-O(10) bond length is 1.96 Å. The Cr(2)-O(5) bond length is 1.96 Å. Both Cr(2)-O(1) bond lengths are 2.12 Å. Both Cr(2)-O(9) bond lengths are 2.03 Å. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent W(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. The Co(1)-O(3) bond length is 1.90 Å. The Co(1)-O(4) bond length is 1.93 Å. Both Co(1)-O(11) bond lengths are 2.04 Å. Both Co(1)-O(6) bond lengths are 1.97 Å. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent W(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one W(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-53°. The Co(2)-O(1) bond length is 2.24 Å. The Co(2)-O(10) bond length is 1.95 Å. The Co(2)-O(12) bond length is 2.19 Å. The Co(2)-O(5) bond length is 1.94 Å. The Co(2)-O(8) bond length is 2.21 Å. The Co(2)-O(9) bond length is 2.18 Å. 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 W(1), one Cr(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one W(1), and two equivalent Cr(1) atoms to form distorted OLiCr2W tetrahedra that share corners with two equivalent O(4)LiCr2Co tetrahedra, corners with two equivalent O(6)LiCrCoW tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra, and edges with two equivalent O(6)LiCrCoW tetrahedra. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with three equivalent O(4)LiCr2Co tetrahedra, corners with two equivalent O(9)LiCrCoW trigonal pyramids,  an edgeedge with one O(2)LiCr2W tetrahedra, and edges with two equivalent O(6)LiCrCoW tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Co(1) atom to form OLiCr2Co tetrahedra that share corners with two equivalent O(2)LiCr2W tetrahedra, corners with three equivalent O(3)LiCr2Co tetrahedra, and corners with four equivalent O(6)LiCrCoW tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Co(2) atoms to form OLiCrCo2 tetrahedra that share corners with three equivalent O(10)LiCrCo2 trigonal pyramids and corners with four equivalent O(9)LiCrCoW trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one W(1), one Cr(1), and one Co(1) atom to form distorted OLiCrCoW tetrahedra that share  a cornercorner with one O(2)LiCr2W tetrahedra,  a cornercorner with one O(6)LiCrCoW tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra,  an edgeedge with one O(2)LiCr2W tetrahedra, and  an edgeedge with one O(6)LiCrCoW tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one W(2), and two equivalent Cr(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one W(1), and two equivalent Co(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one W(2), one Cr(2), and one Co(2) atom to form distorted OLiCrCoW trigonal pyramids that share  a cornercorner with one O(3)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(9)LiCrCoW trigonal pyramid,  an edgeedge with one O(10)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(9)LiCrCoW trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Co(2) atoms to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2W tetrahedra, corners with two equivalent O(6)LiCrCoW tetrahedra, corners with three equivalent O(5)LiCrCo2 tetrahedra, and edges with two equivalent O(9)LiCrCoW trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one W(2), one Cr(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), one W(2), and two equivalent Co(2) atoms.