Li4Mn3Cu2Sn3O16 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 Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Cu(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-63°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cu(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-67°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Cu(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. 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 Sn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cu(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-68°. 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 Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Cu(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. 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 Cu(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 Cu(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CuO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. In the second Cu site, Cu(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. There are two inequivalent Sn sites. In the first Sn site, Sn(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 SnO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-55°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Cu(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 Cu(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. 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 Mn(2), one Cu(1), and one Sn(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Cu(1), and two equivalent Sn(1) atoms. 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 Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sn(1) atoms to form distorted OLiMnSn2 tetrahedra that share corners with four equivalent O(6)LiMnCuSn tetrahedra and  a cornercorner with one O(8)LiMn2Cu trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form a mixture of distorted edge and corner-sharing OLiMn2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Cu(1), and one Sn(1) atom to form distorted OLiMnCuSn tetrahedra that share  a cornercorner with one O(6)LiMnCuSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(8)LiMn2Cu trigonal pyramid, and  an edgeedge with one O(6)LiMnCuSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cu(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Mn(2), and one Cu(1) atom to form distorted OLiMn2Cu trigonal pyramids that share  a cornercorner with one O(4)LiMnSn2 tetrahedra, corners with two equivalent O(12)LiMn2Cu tetrahedra, corners with two equivalent O(6)LiMnCuSn tetrahedra, and  an edgeedge with one O(5)LiMn2Sn tetrahedra. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Li(1), one Mn(2), one Cu(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Cu(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Cu(2) atom to form OLiMn2Cu tetrahedra that share corners with two equivalent O(5)LiMn2Sn tetrahedra and corners with two equivalent O(8)LiMn2Cu trigonal pyramids.
Li4Mn3Cu2Sn3O16 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 Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Cu(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-63°. The Li(1)-O(12) bond length is 2.13 Å. The Li(1)-O(3) bond length is 2.13 Å. Both Li(1)-O(9) bond lengths are 1.96 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 Sn(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cu(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-67°. The Li(2)-O(5) bond length is 1.80 Å. The Li(2)-O(7) bond length is 2.10 Å. Both Li(2)-O(11) bond lengths are 1.92 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 distorted LiO4 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Cu(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. The Li(3)-O(4) bond length is 1.80 Å. The Li(3)-O(8) bond length is 1.89 Å. Both Li(3)-O(1) bond lengths are 1.99 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 Sn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cu(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-68°. The Li(4)-O(10) bond length is 2.11 Å. The Li(4)-O(2) bond length is 1.91 Å. Both Li(4)-O(6) bond lengths are 2.06 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 Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Cu(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. The Mn(1)-O(3) bond length is 1.99 Å. The Mn(1)-O(4) bond length is 1.96 Å. Both Mn(1)-O(11) bond lengths are 1.96 Å. Both Mn(1)-O(6) bond lengths are 1.99 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 Cu(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 Cu(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. The Mn(2)-O(1) bond length is 1.98 Å. The Mn(2)-O(10) bond length is 2.00 Å. The Mn(2)-O(12) bond length is 2.03 Å. The Mn(2)-O(5) bond length is 1.98 Å. The Mn(2)-O(8) bond length is 1.99 Å. The Mn(2)-O(9) bond length is 1.93 Å. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CuO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. The Cu(1)-O(2) bond length is 2.33 Å. The Cu(1)-O(8) bond length is 2.29 Å. Both Cu(1)-O(1) bond lengths are 2.09 Å. Both Cu(1)-O(6) bond lengths are 2.14 Å. In the second Cu site, Cu(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CuO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. The Cu(2)-O(12) bond length is 2.03 Å. The Cu(2)-O(7) bond length is 2.06 Å. Both Cu(2)-O(11) bond lengths are 2.23 Å. Both Cu(2)-O(9) bond lengths are 2.25 Å. There are two inequivalent Sn sites. In the first Sn site, Sn(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 SnO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Cu(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-55°. The Sn(1)-O(11) bond length is 2.11 Å. The Sn(1)-O(2) bond length is 2.05 Å. The Sn(1)-O(3) bond length is 2.11 Å. The Sn(1)-O(4) bond length is 2.10 Å. The Sn(1)-O(6) bond length is 2.12 Å. The Sn(1)-O(7) bond length is 2.10 Å. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 octahedra that share corners with two equivalent Cu(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 Cu(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. The Sn(2)-O(10) bond length is 2.10 Å. The Sn(2)-O(5) bond length is 2.11 Å. Both Sn(2)-O(1) bond lengths are 2.11 Å. Both Sn(2)-O(9) bond lengths are 2.08 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 Mn(2), one Cu(1), and one Sn(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Cu(1), and two equivalent Sn(1) atoms. 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 Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sn(1) atoms to form distorted OLiMnSn2 tetrahedra that share corners with four equivalent O(6)LiMnCuSn tetrahedra and  a cornercorner with one O(8)LiMn2Cu trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sn(2) atom to form a mixture of distorted edge and corner-sharing OLiMn2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Cu(1), and one Sn(1) atom to form distorted OLiMnCuSn tetrahedra that share  a cornercorner with one O(6)LiMnCuSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra,  a cornercorner with one O(8)LiMn2Cu trigonal pyramid, and  an edgeedge with one O(6)LiMnCuSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cu(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Mn(2), and one Cu(1) atom to form distorted OLiMn2Cu trigonal pyramids that share  a cornercorner with one O(4)LiMnSn2 tetrahedra, corners with two equivalent O(12)LiMn2Cu tetrahedra, corners with two equivalent O(6)LiMnCuSn tetrahedra, and  an edgeedge with one O(5)LiMn2Sn tetrahedra. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Li(1), one Mn(2), one Cu(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Cu(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Cu(2) atom to form OLiMn2Cu tetrahedra that share corners with two equivalent O(5)LiMn2Sn tetrahedra and corners with two equivalent O(8)LiMn2Cu trigonal pyramids.