Li10Mn2Fe3Co3O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(10), one O(3), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-61°. In the second Li site, Li(2) is bonded to one O(13), one O(16), one O(2), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-67°. In the third Li site, Li(3) is bonded in a 5-coordinate geometry to one O(12), one O(13), one O(15), one O(6), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a 6-coordinate geometry to one O(11), one O(15), one O(16), one O(2), one O(6), and one O(9) atom. In the fifth Li site, Li(5) is bonded to one O(10), one O(11), one O(12), one O(15), one O(3), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the sixth Li site, Li(6) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(3), one O(5), and one O(8) atom. In the seventh Li site, Li(7) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(13), one O(16), one O(2), and one O(6) atom. In the eighth Li site, Li(8) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(14), one O(3), one O(4), and one O(8) atom. In the ninth Li site, Li(9) is bonded in a 3-coordinate geometry to one O(10), one O(14), one O(4), one O(5), and one O(7) atom. In the tenth Li site, Li(10) is bonded to one O(13), one O(16), one O(4), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Mn(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  a faceface with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form distorted MnO6 octahedra that share corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  a faceface with one Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-54°. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(13), one O(15), one O(16), and one O(9) atom to form distorted MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-52°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(16), one O(4), one O(6), one O(8), and one O(9) atom to form FeO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second Fe site, Fe(2) is bonded to one O(1), one O(13), one O(16), one O(5), one O(6), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(14), one O(15), one O(2), and one O(7) atom to form FeO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-48°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(13), one O(4), one O(5), one O(6), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-46°. In the second Co site, Co(2) is bonded to one O(11), one O(12), one O(14), one O(2), one O(3), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third Co site, Co(3) is bonded to one O(10), one O(11), one O(14), one O(15), one O(2), and one O(3) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Li(1), one Li(6), one Li(8), one Fe(1), one Fe(2), and one Co(1) atom. In the second O site, O(2) is bonded to one Li(2), one Li(4), one Li(7), one Fe(3), one Co(2), and one Co(3) atom to form distorted OLi3FeCo2 octahedra that share  a cornercorner with one O(12)Li3MnFeCo octahedra,  a cornercorner with one O(15)Li3MnFeCo octahedra, corners with two equivalent O(6)Li3Fe2Co pentagonal pyramids, corners with three equivalent O(14)Li3FeCo2 pentagonal pyramids,  an edgeedge with one O(12)Li3MnFeCo octahedra,  an edgeedge with one O(15)Li3MnFeCo octahedra, and edges with two equivalent O(11)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 84-86°. In the third O site, O(3) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(6), one Li(8), one Mn(1), one Co(2), and one Co(3) atom. In the fourth O site, O(4) is bonded to one Li(10), one Li(8), one Li(9), one Mn(1), one Fe(1), and one Co(1) atom to form OLi3MnFeCo octahedra that share edges with two equivalent O(8)Li3MnFe2 octahedra, edges with two equivalent O(5)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the fifth O site, O(5) is bonded to one Li(10), one Li(6), one Li(9), one Mn(1), one Fe(2), and one Co(1) atom to form OLi3MnFeCo octahedra that share edges with two equivalent O(8)Li3MnFe2 octahedra, edges with two equivalent O(4)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(3), one Li(4), one Li(7), one Fe(1), one Fe(2), and one Co(1) atom to form distorted OLi3Fe2Co pentagonal pyramids that share corners with two equivalent O(2)Li3FeCo2 octahedra,  an edgeedge with one O(11)Li3MnCo2 octahedra,  an edgeedge with one O(8)Li3MnFe2 octahedra,  an edgeedge with one O(12)Li3MnFeCo octahedra,  an edgeedge with one O(15)Li3MnFeCo octahedra,  an edgeedge with one O(4)Li3MnFeCo octahedra, and  an edgeedge with one O(5)Li3MnFeCo octahedra. The corner-sharing octahedral tilt angles range from 15-18°. In the seventh O site, O(7) is bonded in a 6-coordinate geometry to one Li(1), one Li(5), one Li(9), one Mn(1), one Fe(3), and one Co(2) atom. In the eighth O site, O(8) is bonded to one Li(10), one Li(6), one Li(8), one Mn(1), one Fe(1), and one Fe(2) atom to form OLi3MnFe2 octahedra that share edges with two equivalent O(4)Li3MnFeCo octahedra, edges with two equivalent O(5)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the ninth O site, O(9) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(3), one Li(4), one Mn(2), one Fe(1), and one Co(1) atom. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(8), one Li(9), one Mn(1), one Fe(3), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(4), one Li(5), one Li(7), one Mn(2), one Co(2), and one Co(3) atom to form OLi3MnCo2 octahedra that share edges with two equivalent O(2)Li3FeCo2 octahedra, edges with two equivalent O(12)Li3MnFeCo octahedra, edges with two equivalent O(15)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(3), one Li(5), one Li(7), one Mn(2), one Fe(3), and one Co(2) atom to form OLi3MnFeCo octahedra that share  a cornercorner with one O(2)Li3FeCo2 octahedra,  an edgeedge with one O(2)Li3FeCo2 octahedra, edges with two equivalent O(11)Li3MnCo2 octahedra, edges with two equivalent O(15)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. The corner-sharing octahedral tilt angles are 84°. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(3), one Li(7), one Mn(2), one Fe(2), and one Co(1) atom. In the fourteenth O site, O(14) is bonded to one Li(6), one Li(8), one Li(9), one Fe(3), one Co(2), and one Co(3) atom to form distorted OLi3FeCo2 pentagonal pyramids that share corners with three equivalent O(2)Li3FeCo2 octahedra,  an edgeedge with one O(11)Li3MnCo2 octahedra,  an edgeedge with one O(8)Li3MnFe2 octahedra,  an edgeedge with one O(12)Li3MnFeCo octahedra,  an edgeedge with one O(15)Li3MnFeCo octahedra,  an edgeedge with one O(4)Li3MnFeCo octahedra, and  an edgeedge with one O(5)Li3MnFeCo octahedra. The corner-sharing octahedral tilt angles range from 2-4°. In the fifteenth O site, O(15) is bonded to one Li(3), one Li(4), one Li(5), one Mn(2), one Fe(3), and one Co(3) atom to form OLi3MnFeCo octahedra that share  a cornercorner with one O(2)Li3FeCo2 octahedra,  an edgeedge with one O(2)Li3FeCo2 octahedra, edges with two equivalent O(11)Li3MnCo2 octahedra, edges with two equivalent O(12)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. The corner-sharing octahedral tilt angles are 86°. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(7), one Mn(2), one Fe(1), and one Fe(2) atom.
Li10Mn2Fe3Co3O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(10), one O(3), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-61°. The Li(1)-O(1) bond length is 1.89 Å. The Li(1)-O(10) bond length is 1.89 Å. The Li(1)-O(3) bond length is 1.85 Å. The Li(1)-O(7) bond length is 1.88 Å. In the second Li site, Li(2) is bonded to one O(13), one O(16), one O(2), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-67°. The Li(2)-O(13) bond length is 1.88 Å. The Li(2)-O(16) bond length is 1.89 Å. The Li(2)-O(2) bond length is 1.89 Å. The Li(2)-O(9) bond length is 1.88 Å. In the third Li site, Li(3) is bonded in a 5-coordinate geometry to one O(12), one O(13), one O(15), one O(6), and one O(9) atom. The Li(3)-O(12) bond length is 1.96 Å. The Li(3)-O(13) bond length is 2.34 Å. The Li(3)-O(15) bond length is 1.99 Å. The Li(3)-O(6) bond length is 1.99 Å. The Li(3)-O(9) bond length is 2.28 Å. In the fourth Li site, Li(4) is bonded in a 6-coordinate geometry to one O(11), one O(15), one O(16), one O(2), one O(6), and one O(9) atom. The Li(4)-O(11) bond length is 1.96 Å. The Li(4)-O(15) bond length is 2.13 Å. The Li(4)-O(16) bond length is 2.37 Å. The Li(4)-O(2) bond length is 2.31 Å. The Li(4)-O(6) bond length is 2.05 Å. The Li(4)-O(9) bond length is 2.49 Å. In the fifth Li site, Li(5) is bonded to one O(10), one O(11), one O(12), one O(15), one O(3), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. The Li(5)-O(10) bond length is 2.15 Å. The Li(5)-O(11) bond length is 2.14 Å. The Li(5)-O(12) bond length is 2.14 Å. The Li(5)-O(15) bond length is 2.11 Å. The Li(5)-O(3) bond length is 2.18 Å. The Li(5)-O(7) bond length is 2.19 Å. In the sixth Li site, Li(6) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(3), one O(5), and one O(8) atom. The Li(6)-O(1) bond length is 2.22 Å. The Li(6)-O(14) bond length is 2.13 Å. The Li(6)-O(3) bond length is 2.38 Å. The Li(6)-O(5) bond length is 2.02 Å. The Li(6)-O(8) bond length is 1.97 Å. In the seventh Li site, Li(7) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(13), one O(16), one O(2), and one O(6) atom. The Li(7)-O(11) bond length is 1.94 Å. The Li(7)-O(12) bond length is 1.97 Å. The Li(7)-O(13) bond length is 2.55 Å. The Li(7)-O(16) bond length is 2.30 Å. The Li(7)-O(2) bond length is 2.12 Å. The Li(7)-O(6) bond length is 2.10 Å. In the eighth Li site, Li(8) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(14), one O(3), one O(4), and one O(8) atom. The Li(8)-O(1) bond length is 2.25 Å. The Li(8)-O(10) bond length is 2.60 Å. The Li(8)-O(14) bond length is 2.05 Å. The Li(8)-O(3) bond length is 2.20 Å. The Li(8)-O(4) bond length is 2.01 Å. The Li(8)-O(8) bond length is 2.02 Å. In the ninth Li site, Li(9) is bonded in a 3-coordinate geometry to one O(10), one O(14), one O(4), one O(5), and one O(7) atom. The Li(9)-O(10) bond length is 2.38 Å. The Li(9)-O(14) bond length is 2.05 Å. The Li(9)-O(4) bond length is 1.91 Å. The Li(9)-O(5) bond length is 1.93 Å. The Li(9)-O(7) bond length is 2.23 Å. In the tenth Li site, Li(10) is bonded to one O(13), one O(16), one O(4), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Mn(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  a faceface with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. The Li(10)-O(13) bond length is 2.16 Å. The Li(10)-O(16) bond length is 2.24 Å. The Li(10)-O(4) bond length is 2.15 Å. The Li(10)-O(5) bond length is 2.19 Å. The Li(10)-O(8) bond length is 2.10 Å. The Li(10)-O(9) bond length is 2.19 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form distorted MnO6 octahedra that share corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  a faceface with one Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-54°. The Mn(1)-O(10) bond length is 2.07 Å. The Mn(1)-O(3) bond length is 2.33 Å. The Mn(1)-O(4) bond length is 2.01 Å. The Mn(1)-O(5) bond length is 2.00 Å. The Mn(1)-O(7) bond length is 1.99 Å. The Mn(1)-O(8) bond length is 2.29 Å. In the second Mn site, Mn(2) is bonded to one O(11), one O(12), one O(13), one O(15), one O(16), and one O(9) atom to form distorted MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-52°. The Mn(2)-O(11) bond length is 2.21 Å. The Mn(2)-O(12) bond length is 1.99 Å. The Mn(2)-O(13) bond length is 1.98 Å. The Mn(2)-O(15) bond length is 2.04 Å. The Mn(2)-O(16) bond length is 2.47 Å. The Mn(2)-O(9) bond length is 2.00 Å. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(16), one O(4), one O(6), one O(8), and one O(9) atom to form FeO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. The Fe(1)-O(1) bond length is 2.06 Å. The Fe(1)-O(16) bond length is 2.03 Å. The Fe(1)-O(4) bond length is 2.08 Å. The Fe(1)-O(6) bond length is 2.06 Å. The Fe(1)-O(8) bond length is 2.04 Å. The Fe(1)-O(9) bond length is 2.14 Å. In the second Fe site, Fe(2) is bonded to one O(1), one O(13), one O(16), one O(5), one O(6), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. The Fe(2)-O(1) bond length is 2.05 Å. The Fe(2)-O(13) bond length is 2.14 Å. The Fe(2)-O(16) bond length is 2.04 Å. The Fe(2)-O(5) bond length is 2.11 Å. The Fe(2)-O(6) bond length is 2.06 Å. The Fe(2)-O(8) bond length is 2.03 Å. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(14), one O(15), one O(2), and one O(7) atom to form FeO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-48°. The Fe(3)-O(10) bond length is 2.10 Å. The Fe(3)-O(12) bond length is 2.04 Å. The Fe(3)-O(14) bond length is 2.03 Å. The Fe(3)-O(15) bond length is 2.05 Å. The Fe(3)-O(2) bond length is 2.04 Å. The Fe(3)-O(7) bond length is 2.10 Å. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(13), one O(4), one O(5), one O(6), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-46°. The Co(1)-O(1) bond length is 2.11 Å. The Co(1)-O(13) bond length is 2.13 Å. The Co(1)-O(4) bond length is 2.09 Å. The Co(1)-O(5) bond length is 2.12 Å. The Co(1)-O(6) bond length is 2.13 Å. The Co(1)-O(9) bond length is 2.17 Å. In the second Co site, Co(2) is bonded to one O(11), one O(12), one O(14), one O(2), one O(3), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. The Co(2)-O(11) bond length is 2.05 Å. The Co(2)-O(12) bond length is 2.18 Å. The Co(2)-O(14) bond length is 2.11 Å. The Co(2)-O(2) bond length is 2.11 Å. The Co(2)-O(3) bond length is 2.08 Å. The Co(2)-O(7) bond length is 2.20 Å. In the third Co site, Co(3) is bonded to one O(10), one O(11), one O(14), one O(15), one O(2), and one O(3) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. The Co(3)-O(10) bond length is 2.07 Å. The Co(3)-O(11) bond length is 1.96 Å. The Co(3)-O(14) bond length is 2.00 Å. The Co(3)-O(15) bond length is 2.07 Å. The Co(3)-O(2) bond length is 1.99 Å. The Co(3)-O(3) bond length is 1.99 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Li(1), one Li(6), one Li(8), one Fe(1), one Fe(2), and one Co(1) atom. In the second O site, O(2) is bonded to one Li(2), one Li(4), one Li(7), one Fe(3), one Co(2), and one Co(3) atom to form distorted OLi3FeCo2 octahedra that share  a cornercorner with one O(12)Li3MnFeCo octahedra,  a cornercorner with one O(15)Li3MnFeCo octahedra, corners with two equivalent O(6)Li3Fe2Co pentagonal pyramids, corners with three equivalent O(14)Li3FeCo2 pentagonal pyramids,  an edgeedge with one O(12)Li3MnFeCo octahedra,  an edgeedge with one O(15)Li3MnFeCo octahedra, and edges with two equivalent O(11)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 84-86°. In the third O site, O(3) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(6), one Li(8), one Mn(1), one Co(2), and one Co(3) atom. In the fourth O site, O(4) is bonded to one Li(10), one Li(8), one Li(9), one Mn(1), one Fe(1), and one Co(1) atom to form OLi3MnFeCo octahedra that share edges with two equivalent O(8)Li3MnFe2 octahedra, edges with two equivalent O(5)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the fifth O site, O(5) is bonded to one Li(10), one Li(6), one Li(9), one Mn(1), one Fe(2), and one Co(1) atom to form OLi3MnFeCo octahedra that share edges with two equivalent O(8)Li3MnFe2 octahedra, edges with two equivalent O(4)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(3), one Li(4), one Li(7), one Fe(1), one Fe(2), and one Co(1) atom to form distorted OLi3Fe2Co pentagonal pyramids that share corners with two equivalent O(2)Li3FeCo2 octahedra,  an edgeedge with one O(11)Li3MnCo2 octahedra,  an edgeedge with one O(8)Li3MnFe2 octahedra,  an edgeedge with one O(12)Li3MnFeCo octahedra,  an edgeedge with one O(15)Li3MnFeCo octahedra,  an edgeedge with one O(4)Li3MnFeCo octahedra, and  an edgeedge with one O(5)Li3MnFeCo octahedra. The corner-sharing octahedral tilt angles range from 15-18°. In the seventh O site, O(7) is bonded in a 6-coordinate geometry to one Li(1), one Li(5), one Li(9), one Mn(1), one Fe(3), and one Co(2) atom. In the eighth O site, O(8) is bonded to one Li(10), one Li(6), one Li(8), one Mn(1), one Fe(1), and one Fe(2) atom to form OLi3MnFe2 octahedra that share edges with two equivalent O(4)Li3MnFeCo octahedra, edges with two equivalent O(5)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the ninth O site, O(9) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(3), one Li(4), one Mn(2), one Fe(1), and one Co(1) atom. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(8), one Li(9), one Mn(1), one Fe(3), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(4), one Li(5), one Li(7), one Mn(2), one Co(2), and one Co(3) atom to form OLi3MnCo2 octahedra that share edges with two equivalent O(2)Li3FeCo2 octahedra, edges with two equivalent O(12)Li3MnFeCo octahedra, edges with two equivalent O(15)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(3), one Li(5), one Li(7), one Mn(2), one Fe(3), and one Co(2) atom to form OLi3MnFeCo octahedra that share  a cornercorner with one O(2)Li3FeCo2 octahedra,  an edgeedge with one O(2)Li3FeCo2 octahedra, edges with two equivalent O(11)Li3MnCo2 octahedra, edges with two equivalent O(15)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. The corner-sharing octahedral tilt angles are 84°. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(3), one Li(7), one Mn(2), one Fe(2), and one Co(1) atom. In the fourteenth O site, O(14) is bonded to one Li(6), one Li(8), one Li(9), one Fe(3), one Co(2), and one Co(3) atom to form distorted OLi3FeCo2 pentagonal pyramids that share corners with three equivalent O(2)Li3FeCo2 octahedra,  an edgeedge with one O(11)Li3MnCo2 octahedra,  an edgeedge with one O(8)Li3MnFe2 octahedra,  an edgeedge with one O(12)Li3MnFeCo octahedra,  an edgeedge with one O(15)Li3MnFeCo octahedra,  an edgeedge with one O(4)Li3MnFeCo octahedra, and  an edgeedge with one O(5)Li3MnFeCo octahedra. The corner-sharing octahedral tilt angles range from 2-4°. In the fifteenth O site, O(15) is bonded to one Li(3), one Li(4), one Li(5), one Mn(2), one Fe(3), and one Co(3) atom to form OLi3MnFeCo octahedra that share  a cornercorner with one O(2)Li3FeCo2 octahedra,  an edgeedge with one O(2)Li3FeCo2 octahedra, edges with two equivalent O(11)Li3MnCo2 octahedra, edges with two equivalent O(12)Li3MnFeCo octahedra,  an edgeedge with one O(6)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(14)Li3FeCo2 pentagonal pyramid. The corner-sharing octahedral tilt angles are 86°. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(7), one Mn(2), one Fe(1), and one Fe(2) atom.