Li4Fe3Sn3(TeO8)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 Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Te(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-64°. 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 Sn(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Te(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Te(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 Te(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Fe site, Fe(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 FeO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Fe(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 50-53°. 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 Te(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 Te(1)O6 octahedra, edges with two equivalent Fe(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 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, edges with four equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TeO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the second Te site, Te(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are twelve 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 Fe(2), one Sn(2), and one Te(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Sn(1), and one Te(1) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiFeSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(12)LiFe2Te tetrahedra, corners with three equivalent O(10)LiFe2Sn tetrahedra, and corners with four equivalent O(9)LiFeSnTe tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Sn(1), and one Te(1) atom to form distorted OLiFeSnTe tetrahedra that share  a cornercorner with one O(10)LiFe2Sn tetrahedra,  a cornercorner with one O(6)LiFeSnTe tetrahedra, corners with two equivalent O(4)LiFeSn2 tetrahedra, and  an edgeedge with one O(6)LiFeSnTe tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Sn(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Fe(2), and one Te(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Fe(2), one Sn(2), and one Te(2) atom to form distorted OLiFeSnTe tetrahedra that share  a cornercorner with one O(12)LiFe2Te tetrahedra,  a cornercorner with one O(9)LiFeSnTe tetrahedra, corners with two equivalent O(5)LiFe2Sn tetrahedra,  an edgeedge with one O(10)LiFe2Sn tetrahedra,  an edgeedge with one O(12)LiFe2Te tetrahedra, and  an edgeedge with one O(9)LiFeSnTe tetrahedra. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(6)LiFeSnTe tetrahedra, corners with three equivalent O(5)LiFe2Sn tetrahedra,  an edgeedge with one O(12)LiFe2Te tetrahedra, and edges with two equivalent O(9)LiFeSnTe tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Sn(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Te(2) atom to form distorted OLiFe2Te tetrahedra that share corners with two equivalent O(5)LiFe2Sn tetrahedra, corners with two equivalent O(9)LiFeSnTe tetrahedra,  an edgeedge with one O(10)LiFe2Sn tetrahedra, and edges with two equivalent O(9)LiFeSnTe tetrahedra.
Li4Fe3Sn3(TeO8)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 Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. The Li(1)-O(12) bond length is 2.13 Å. The Li(1)-O(3) bond length is 2.10 Å. Both Li(1)-O(9) bond lengths are 2.10 Å. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. The Li(2)-O(5) bond length is 1.83 Å. The Li(2)-O(7) bond length is 2.05 Å. Both Li(2)-O(11) bond lengths are 2.00 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 Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Te(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-64°. The Li(3)-O(4) bond length is 1.83 Å. The Li(3)-O(8) bond length is 1.97 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 Sn(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Te(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. The Li(4)-O(10) bond length is 2.06 Å. The Li(4)-O(2) bond length is 2.10 Å. Both Li(4)-O(6) bond lengths are 2.12 Å. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Te(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 Te(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. The Fe(1)-O(3) bond length is 2.13 Å. The Fe(1)-O(4) bond length is 2.12 Å. Both Fe(1)-O(11) bond lengths are 2.21 Å. Both Fe(1)-O(6) bond lengths are 2.24 Å. In the second Fe site, Fe(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 FeO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Fe(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 50-53°. The Fe(2)-O(1) bond length is 2.03 Å. The Fe(2)-O(10) bond length is 2.04 Å. The Fe(2)-O(12) bond length is 2.15 Å. The Fe(2)-O(5) bond length is 2.05 Å. The Fe(2)-O(8) bond length is 2.13 Å. The Fe(2)-O(9) bond length is 2.08 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 Te(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 Te(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. The Sn(1)-O(11) bond length is 2.11 Å. The Sn(1)-O(2) bond length is 2.10 Å. The Sn(1)-O(3) bond length is 2.08 Å. The Sn(1)-O(4) bond length is 2.10 Å. The Sn(1)-O(6) bond length is 2.14 Å. The Sn(1)-O(7) bond length is 2.08 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, edges with four equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. The Sn(2)-O(10) bond length is 2.13 Å. The Sn(2)-O(5) bond length is 2.12 Å. Both Sn(2)-O(1) bond lengths are 2.10 Å. Both Sn(2)-O(9) bond lengths are 2.11 Å. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TeO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-58°. The Te(1)-O(2) bond length is 2.38 Å. The Te(1)-O(8) bond length is 2.08 Å. Both Te(1)-O(1) bond lengths are 2.34 Å. Both Te(1)-O(6) bond lengths are 2.09 Å. In the second Te site, Te(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. The Te(2)-O(12) bond length is 2.04 Å. The Te(2)-O(7) bond length is 2.49 Å. Both Te(2)-O(11) bond lengths are 2.11 Å. Both Te(2)-O(9) bond lengths are 2.26 Å. There are twelve 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 Fe(2), one Sn(2), and one Te(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Sn(1), and one Te(1) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiFeSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(12)LiFe2Te tetrahedra, corners with three equivalent O(10)LiFe2Sn tetrahedra, and corners with four equivalent O(9)LiFeSnTe tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Sn(1), and one Te(1) atom to form distorted OLiFeSnTe tetrahedra that share  a cornercorner with one O(10)LiFe2Sn tetrahedra,  a cornercorner with one O(6)LiFeSnTe tetrahedra, corners with two equivalent O(4)LiFeSn2 tetrahedra, and  an edgeedge with one O(6)LiFeSnTe tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Sn(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Fe(2), and one Te(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Fe(2), one Sn(2), and one Te(2) atom to form distorted OLiFeSnTe tetrahedra that share  a cornercorner with one O(12)LiFe2Te tetrahedra,  a cornercorner with one O(9)LiFeSnTe tetrahedra, corners with two equivalent O(5)LiFe2Sn tetrahedra,  an edgeedge with one O(10)LiFe2Sn tetrahedra,  an edgeedge with one O(12)LiFe2Te tetrahedra, and  an edgeedge with one O(9)LiFeSnTe tetrahedra. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent O(6)LiFeSnTe tetrahedra, corners with three equivalent O(5)LiFe2Sn tetrahedra,  an edgeedge with one O(12)LiFe2Te tetrahedra, and edges with two equivalent O(9)LiFeSnTe tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Sn(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Te(2) atom to form distorted OLiFe2Te tetrahedra that share corners with two equivalent O(5)LiFe2Sn tetrahedra, corners with two equivalent O(9)LiFeSnTe tetrahedra,  an edgeedge with one O(10)LiFe2Sn tetrahedra, and edges with two equivalent O(9)LiFeSnTe tetrahedra.