Li4Cr3Mn3(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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-66°. 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 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. 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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-64°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(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 57-64°. 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 Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-51°. 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 Mn(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 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. 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 Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. 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(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. 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 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 tetrahedra. The corner-sharing octahedral tilt angles are 50°. 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 W(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 W(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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 Mn(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)LiMnCr2 tetrahedra, corners with two equivalent O(6)LiMnCrW tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid,  an edgeedge with one O(3)LiMnCr2 tetrahedra, and edges with two equivalent O(6)LiMnCrW tetrahedra. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share  a cornercorner with one O(12)LiMn2W tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra, corners with two equivalent O(9)LiMnCrW trigonal pyramids,  an edgeedge with one O(2)LiCr2W tetrahedra, and edges with two equivalent O(6)LiMnCrW tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2W tetrahedra, corners with three equivalent O(3)LiMnCr2 tetrahedra, and corners with four equivalent O(6)LiMnCrW tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Mn(2) atoms to form OLiMn2Cr tetrahedra that share corners with two equivalent O(12)LiMn2W tetrahedra, corners with three equivalent O(10)LiMn2Cr trigonal pyramids, and corners with four equivalent O(9)LiMnCrW trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one W(1), one Cr(1), and one Mn(1) atom to form distorted OLiMnCrW tetrahedra that share  a cornercorner with one O(2)LiCr2W tetrahedra,  a cornercorner with one O(6)LiMnCrW tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2W tetrahedra,  an edgeedge with one O(3)LiMnCr2 tetrahedra, and  an edgeedge with one O(6)LiMnCrW 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 rectangular see-saw-like geometry to one Li(3), one W(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one W(2), one Cr(2), and one Mn(2) atom to form distorted OLiMnCrW trigonal pyramids that share  a cornercorner with one O(12)LiMn2W tetrahedra,  a cornercorner with one O(3)LiMnCr2 tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(9)LiMnCrW trigonal pyramid,  an edgeedge with one O(12)LiMn2W tetrahedra,  an edgeedge with one O(10)LiMn2Cr trigonal pyramid, and  an edgeedge with one O(9)LiMnCrW trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Mn(2) atoms to form distorted OLiMn2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2W tetrahedra, corners with two equivalent O(6)LiMnCrW tetrahedra, corners with three equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(12)LiMn2W tetrahedra, and edges with two equivalent O(9)LiMnCrW 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 Mn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one W(2), and two equivalent Mn(2) atoms to form distorted OLiMn2W tetrahedra that share  a cornercorner with one O(3)LiMnCr2 tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra, corners with two equivalent O(9)LiMnCrW trigonal pyramids,  an edgeedge with one O(10)LiMn2Cr trigonal pyramid, and edges with two equivalent O(9)LiMnCrW trigonal pyramids.
Li4Cr3Mn3(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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-66°. The Li(1)-O(12) bond length is 1.99 Å. The Li(1)-O(3) bond length is 1.98 Å. Both Li(1)-O(9) bond lengths are 2.03 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 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. The Li(2)-O(5) bond length is 1.82 Å. The Li(2)-O(7) bond length is 2.04 Å. Both Li(2)-O(11) bond lengths are 2.08 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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-64°. The Li(3)-O(4) bond length is 1.81 Å. The Li(3)-O(8) bond length is 2.03 Å. Both Li(3)-O(1) bond lengths are 2.05 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 Mn(1)O6 octahedra, corners with two equivalent Mn(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 57-64°. The Li(4)-O(10) bond length is 2.00 Å. The Li(4)-O(2) bond length is 2.12 Å. Both Li(4)-O(6) bond lengths are 2.02 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 Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-51°. The W(1)-O(2) bond length is 2.07 Å. The W(1)-O(8) bond length is 1.88 Å. Both W(1)-O(1) bond lengths are 1.94 Å. Both W(1)-O(6) bond lengths are 2.03 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 Mn(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 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. The W(2)-O(12) bond length is 1.94 Å. The W(2)-O(7) bond length is 2.05 Å. Both W(2)-O(11) bond lengths are 1.96 Å. Both W(2)-O(9) bond lengths are 1.99 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 Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. The Cr(1)-O(11) bond length is 2.13 Å. The Cr(1)-O(2) bond length is 2.06 Å. The Cr(1)-O(3) bond length is 1.98 Å. The Cr(1)-O(4) bond length is 1.98 Å. The Cr(1)-O(6) bond length is 2.01 Å. The Cr(1)-O(7) bond length is 2.11 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(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one W(2)O6 octahedra, edges with four equivalent Mn(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 1.97 Å. The Cr(2)-O(5) bond length is 1.96 Å. Both Cr(2)-O(1) bond lengths are 2.14 Å. Both Cr(2)-O(9) bond lengths are 2.04 Å. 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 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 tetrahedra. The corner-sharing octahedral tilt angles are 50°. The Mn(1)-O(3) bond length is 1.96 Å. The Mn(1)-O(4) bond length is 1.96 Å. Both Mn(1)-O(11) bond lengths are 2.16 Å. Both Mn(1)-O(6) bond lengths are 2.17 Å. 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 W(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 W(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. The Mn(2)-O(1) bond length is 2.24 Å. The Mn(2)-O(10) bond length is 2.00 Å. The Mn(2)-O(12) bond length is 2.17 Å. The Mn(2)-O(5) bond length is 1.97 Å. The Mn(2)-O(8) bond length is 2.23 Å. The Mn(2)-O(9) bond length is 2.26 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 Mn(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)LiMnCr2 tetrahedra, corners with two equivalent O(6)LiMnCrW tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid,  an edgeedge with one O(3)LiMnCr2 tetrahedra, and edges with two equivalent O(6)LiMnCrW tetrahedra. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share  a cornercorner with one O(12)LiMn2W tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra, corners with two equivalent O(9)LiMnCrW trigonal pyramids,  an edgeedge with one O(2)LiCr2W tetrahedra, and edges with two equivalent O(6)LiMnCrW tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2W tetrahedra, corners with three equivalent O(3)LiMnCr2 tetrahedra, and corners with four equivalent O(6)LiMnCrW tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Mn(2) atoms to form OLiMn2Cr tetrahedra that share corners with two equivalent O(12)LiMn2W tetrahedra, corners with three equivalent O(10)LiMn2Cr trigonal pyramids, and corners with four equivalent O(9)LiMnCrW trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one W(1), one Cr(1), and one Mn(1) atom to form distorted OLiMnCrW tetrahedra that share  a cornercorner with one O(2)LiCr2W tetrahedra,  a cornercorner with one O(6)LiMnCrW tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(10)LiMn2Cr trigonal pyramid,  an edgeedge with one O(2)LiCr2W tetrahedra,  an edgeedge with one O(3)LiMnCr2 tetrahedra, and  an edgeedge with one O(6)LiMnCrW 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 rectangular see-saw-like geometry to one Li(3), one W(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one W(2), one Cr(2), and one Mn(2) atom to form distorted OLiMnCrW trigonal pyramids that share  a cornercorner with one O(12)LiMn2W tetrahedra,  a cornercorner with one O(3)LiMnCr2 tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(9)LiMnCrW trigonal pyramid,  an edgeedge with one O(12)LiMn2W tetrahedra,  an edgeedge with one O(10)LiMn2Cr trigonal pyramid, and  an edgeedge with one O(9)LiMnCrW trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Mn(2) atoms to form distorted OLiMn2Cr trigonal pyramids that share  a cornercorner with one O(2)LiCr2W tetrahedra, corners with two equivalent O(6)LiMnCrW tetrahedra, corners with three equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(12)LiMn2W tetrahedra, and edges with two equivalent O(9)LiMnCrW 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 Mn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one W(2), and two equivalent Mn(2) atoms to form distorted OLiMn2W tetrahedra that share  a cornercorner with one O(3)LiMnCr2 tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra, corners with two equivalent O(9)LiMnCrW trigonal pyramids,  an edgeedge with one O(10)LiMn2Cr trigonal pyramid, and edges with two equivalent O(9)LiMnCrW trigonal pyramids.