Li4V3Cr2Sn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, and corners with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-66°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second V site, V(2) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-55°. In the third V site, V(3) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. In the second Cr site, Cr(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sn site, Sn(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form SnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(3), one Cr(1), and one Sn(3) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Sn(1), and one Sn(2) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one Sn(1), and one Sn(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Sn(1), and one Sn(2) atom to form distorted corner-sharing OLiVSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Sn(3) atom to form a mixture of distorted corner and edge-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(2), one Cr(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Cr(1), and one Sn(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Cr(1), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one V(2), one V(3), and one Cr(1) atom to form distorted OLiV2Cr trigonal pyramids that share  a cornercorner with one O(4)LiVSn2 tetrahedra, corners with two equivalent O(15)LiV2Cr tetrahedra, and  an edgeedge with one O(5)LiV2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(3), one Cr(2), and one Sn(3) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(2), one Cr(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one V(2), one V(3), and one Sn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Cr(2), and one Sn(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one V(2), one V(3), and one Cr(2) atom to form distorted OLiV2Cr tetrahedra that share corners with two equivalent O(5)LiV2Sn tetrahedra and corners with two equivalent O(10)LiV2Cr trigonal pyramids. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Cr(2), and one Sn(2) atom.
Li4V3Cr2Sn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, and corners with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. The Li(1)-O(11) bond length is 2.02 Å. The Li(1)-O(12) bond length is 2.01 Å. The Li(1)-O(15) bond length is 2.14 Å. The Li(1)-O(3) bond length is 2.00 Å. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. The Li(2)-O(14) bond length is 1.98 Å. The Li(2)-O(16) bond length is 1.99 Å. The Li(2)-O(5) bond length is 1.77 Å. The Li(2)-O(9) bond length is 2.09 Å. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-66°. The Li(3)-O(1) bond length is 2.03 Å. The Li(3)-O(10) bond length is 1.96 Å. The Li(3)-O(4) bond length is 1.78 Å. The Li(3)-O(6) bond length is 2.03 Å. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. The Li(4)-O(13) bond length is 1.98 Å. The Li(4)-O(2) bond length is 2.03 Å. The Li(4)-O(7) bond length is 2.04 Å. The Li(4)-O(8) bond length is 2.03 Å. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. The V(1)-O(14) bond length is 2.04 Å. The V(1)-O(16) bond length is 2.05 Å. The V(1)-O(3) bond length is 2.09 Å. The V(1)-O(4) bond length is 2.06 Å. The V(1)-O(7) bond length is 2.06 Å. The V(1)-O(8) bond length is 2.06 Å. In the second V site, V(2) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-55°. The V(2)-O(10) bond length is 2.06 Å. The V(2)-O(12) bond length is 2.04 Å. The V(2)-O(13) bond length is 2.09 Å. The V(2)-O(15) bond length is 2.12 Å. The V(2)-O(5) bond length is 2.06 Å. The V(2)-O(6) bond length is 2.02 Å. In the third V site, V(3) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. The V(3)-O(1) bond length is 2.01 Å. The V(3)-O(10) bond length is 2.02 Å. The V(3)-O(11) bond length is 2.04 Å. The V(3)-O(13) bond length is 1.98 Å. The V(3)-O(15) bond length is 1.91 Å. The V(3)-O(5) bond length is 1.97 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. The Cr(1)-O(1) bond length is 2.13 Å. The Cr(1)-O(10) bond length is 2.14 Å. The Cr(1)-O(2) bond length is 2.07 Å. The Cr(1)-O(6) bond length is 2.09 Å. The Cr(1)-O(7) bond length is 2.08 Å. The Cr(1)-O(8) bond length is 2.07 Å. In the second Cr site, Cr(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. The Cr(2)-O(11) bond length is 2.05 Å. The Cr(2)-O(12) bond length is 2.06 Å. The Cr(2)-O(14) bond length is 2.11 Å. The Cr(2)-O(15) bond length is 2.08 Å. The Cr(2)-O(16) bond length is 2.11 Å. The Cr(2)-O(9) bond length is 2.12 Å. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Sn(1)-O(14) bond length is 2.11 Å. The Sn(1)-O(2) bond length is 2.11 Å. The Sn(1)-O(3) bond length is 2.07 Å. The Sn(1)-O(4) bond length is 2.05 Å. The Sn(1)-O(7) bond length is 2.11 Å. The Sn(1)-O(9) bond length is 2.10 Å. In the second Sn site, Sn(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. The Sn(2)-O(16) bond length is 2.11 Å. The Sn(2)-O(2) bond length is 2.11 Å. The Sn(2)-O(3) bond length is 2.06 Å. The Sn(2)-O(4) bond length is 2.05 Å. The Sn(2)-O(8) bond length is 2.10 Å. The Sn(2)-O(9) bond length is 2.11 Å. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form SnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-55°. The Sn(3)-O(1) bond length is 2.14 Å. The Sn(3)-O(11) bond length is 2.11 Å. The Sn(3)-O(12) bond length is 2.10 Å. The Sn(3)-O(13) bond length is 2.07 Å. The Sn(3)-O(5) bond length is 2.05 Å. The Sn(3)-O(6) bond length is 2.11 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(3), one Cr(1), and one Sn(3) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Sn(1), and one Sn(2) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one Sn(1), and one Sn(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Sn(1), and one Sn(2) atom to form distorted corner-sharing OLiVSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Sn(3) atom to form a mixture of distorted corner and edge-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(2), one Cr(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Cr(1), and one Sn(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Cr(1), and one Sn(2) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one V(2), one V(3), and one Cr(1) atom to form distorted OLiV2Cr trigonal pyramids that share  a cornercorner with one O(4)LiVSn2 tetrahedra, corners with two equivalent O(15)LiV2Cr tetrahedra, and  an edgeedge with one O(5)LiV2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(3), one Cr(2), and one Sn(3) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(2), one Cr(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one V(2), one V(3), and one Sn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Cr(2), and one Sn(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one V(2), one V(3), and one Cr(2) atom to form distorted OLiV2Cr tetrahedra that share corners with two equivalent O(5)LiV2Sn tetrahedra and corners with two equivalent O(10)LiV2Cr trigonal pyramids. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Cr(2), and one Sn(2) atom.