LiZn(CoO2)4 crystallizes in the triclinic P1 space group. Li(1) is bonded to one O(1), one O(3), one O(4), and two equivalent O(2) atoms to form distorted LiO5 square pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Co(2)O5 square pyramid, corners with two equivalent Li(1)O5 square pyramids,  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(4)O5 trigonal bipyramids, edges with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(2)O5 square pyramid, and  a faceface with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-41°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(2)O5 square pyramids,  a cornercorner with one Zn(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(1)O5 square pyramids, and edges with two equivalent Co(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 52-57°. In the second Co site, Co(2) is bonded to one O(4), two equivalent O(3), and two equivalent O(8) atoms to form distorted CoO5 square pyramids that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(1)O5 square pyramid, corners with two equivalent Zn(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Li(1)O5 square pyramid, and edges with two equivalent Co(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 6-55°. In the third Co site, Co(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Li(1)O5 square pyramids, corners with two equivalent Co(2)O5 square pyramids, corners with two equivalent Zn(1)O4 tetrahedra, corners with two equivalent Co(4)O5 trigonal bipyramids, edges with two equivalent Co(3)O6 octahedra,  an edgeedge with one Co(2)O5 square pyramid, and  a faceface with one Li(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 52-57°. In the fourth Co site, Co(4) is bonded to one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted CoO5 trigonal bipyramids that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Li(1)O5 square pyramids, corners with two equivalent Zn(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 50-52°. Zn(1) is bonded to one O(3), one O(7), and two equivalent O(6) atoms to form ZnO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(1)O5 square pyramid, corners with two equivalent Co(2)O5 square pyramids, corners with two equivalent Zn(1)O4 tetrahedra, and corners with two equivalent Co(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 47-51°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Co(3), and two equivalent Co(4) atoms to form distorted OLiCo3 trigonal pyramids that share  a cornercorner with one O(4)LiCo3 trigonal pyramid,  a cornercorner with one O(3)LiZnCo2 trigonal pyramid, corners with two equivalent O(1)LiCo3 trigonal pyramids, and edges with two equivalent O(2)Li2Co3 trigonal bipyramids. In the second O site, O(2) is bonded to two equivalent Li(1), one Co(1), and two equivalent Co(3) atoms to form distorted OLi2Co3 trigonal bipyramids that share corners with two equivalent O(3)LiZnCo2 trigonal pyramids, edges with two equivalent O(2)Li2Co3 trigonal bipyramids, edges with two equivalent O(1)LiCo3 trigonal pyramids, and edges with two equivalent O(4)LiCo3 trigonal pyramids. In the third O site, O(3) is bonded to one Li(1), two equivalent Co(2), and one Zn(1) atom to form distorted OLiZnCo2 trigonal pyramids that share corners with two equivalent O(2)Li2Co3 trigonal bipyramids,  a cornercorner with one O(1)LiCo3 trigonal pyramid,  a cornercorner with one O(4)LiCo3 trigonal pyramid, corners with two equivalent O(3)LiZnCo2 trigonal pyramids, and  an edgeedge with one O(4)LiCo3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(1), one Co(2), and two equivalent Co(1) atoms to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(1)LiCo3 trigonal pyramid,  a cornercorner with one O(3)LiZnCo2 trigonal pyramid, corners with two equivalent O(4)LiCo3 trigonal pyramids, edges with two equivalent O(2)Li2Co3 trigonal bipyramids, and  an edgeedge with one O(3)LiZnCo2 trigonal pyramid. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Co(4) and two equivalent Co(1) atoms. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Co(3) and two equivalent Zn(1) atoms. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Co(1), two equivalent Co(4), and one Zn(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to two equivalent Co(2) and two equivalent Co(3) atoms.
LiZn(CoO2)4 crystallizes in the triclinic P1 space group. Li(1) is bonded to one O(1), one O(3), one O(4), and two equivalent O(2) atoms to form distorted LiO5 square pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Co(2)O5 square pyramid, corners with two equivalent Li(1)O5 square pyramids,  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(4)O5 trigonal bipyramids, edges with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(2)O5 square pyramid, and  a faceface with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-41°. The Li(1)-O(1) bond length is 1.96 Å. The Li(1)-O(3) bond length is 2.11 Å. The Li(1)-O(4) bond length is 1.97 Å. There is one shorter (1.99 Å) and one longer (2.22 Å) Li(1)-O(2) bond length. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(2)O5 square pyramids,  a cornercorner with one Zn(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(1)O5 square pyramids, and edges with two equivalent Co(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 52-57°. The Co(1)-O(2) bond length is 1.87 Å. The Co(1)-O(7) bond length is 1.97 Å. There is one shorter (1.90 Å) and one longer (1.92 Å) Co(1)-O(4) bond length. There is one shorter (1.88 Å) and one longer (1.90 Å) Co(1)-O(5) bond length. In the second Co site, Co(2) is bonded to one O(4), two equivalent O(3), and two equivalent O(8) atoms to form distorted CoO5 square pyramids that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(1)O5 square pyramid, corners with two equivalent Zn(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Li(1)O5 square pyramid, and edges with two equivalent Co(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 6-55°. The Co(2)-O(4) bond length is 1.97 Å. There is one shorter (1.88 Å) and one longer (2.12 Å) Co(2)-O(3) bond length. There is one shorter (1.79 Å) and one longer (2.32 Å) Co(2)-O(8) bond length. In the third Co site, Co(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form distorted CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Li(1)O5 square pyramids, corners with two equivalent Co(2)O5 square pyramids, corners with two equivalent Zn(1)O4 tetrahedra, corners with two equivalent Co(4)O5 trigonal bipyramids, edges with two equivalent Co(3)O6 octahedra,  an edgeedge with one Co(2)O5 square pyramid, and  a faceface with one Li(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 52-57°. The Co(3)-O(1) bond length is 2.09 Å. The Co(3)-O(6) bond length is 1.79 Å. There is one shorter (2.02 Å) and one longer (2.03 Å) Co(3)-O(2) bond length. There is one shorter (2.07 Å) and one longer (2.16 Å) Co(3)-O(8) bond length. In the fourth Co site, Co(4) is bonded to one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted CoO5 trigonal bipyramids that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Li(1)O5 square pyramids, corners with two equivalent Zn(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 50-52°. The Co(4)-O(5) bond length is 1.97 Å. There is one shorter (1.84 Å) and one longer (1.90 Å) Co(4)-O(1) bond length. There is one shorter (1.89 Å) and one longer (2.04 Å) Co(4)-O(7) bond length. Zn(1) is bonded to one O(3), one O(7), and two equivalent O(6) atoms to form ZnO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Li(1)O5 square pyramid, corners with two equivalent Co(2)O5 square pyramids, corners with two equivalent Zn(1)O4 tetrahedra, and corners with two equivalent Co(4)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 47-51°. The Zn(1)-O(3) bond length is 2.00 Å. The Zn(1)-O(7) bond length is 2.05 Å. There is one shorter (1.92 Å) and one longer (1.93 Å) Zn(1)-O(6) bond length. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Co(3), and two equivalent Co(4) atoms to form distorted OLiCo3 trigonal pyramids that share  a cornercorner with one O(4)LiCo3 trigonal pyramid,  a cornercorner with one O(3)LiZnCo2 trigonal pyramid, corners with two equivalent O(1)LiCo3 trigonal pyramids, and edges with two equivalent O(2)Li2Co3 trigonal bipyramids. In the second O site, O(2) is bonded to two equivalent Li(1), one Co(1), and two equivalent Co(3) atoms to form distorted OLi2Co3 trigonal bipyramids that share corners with two equivalent O(3)LiZnCo2 trigonal pyramids, edges with two equivalent O(2)Li2Co3 trigonal bipyramids, edges with two equivalent O(1)LiCo3 trigonal pyramids, and edges with two equivalent O(4)LiCo3 trigonal pyramids. In the third O site, O(3) is bonded to one Li(1), two equivalent Co(2), and one Zn(1) atom to form distorted OLiZnCo2 trigonal pyramids that share corners with two equivalent O(2)Li2Co3 trigonal bipyramids,  a cornercorner with one O(1)LiCo3 trigonal pyramid,  a cornercorner with one O(4)LiCo3 trigonal pyramid, corners with two equivalent O(3)LiZnCo2 trigonal pyramids, and  an edgeedge with one O(4)LiCo3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(1), one Co(2), and two equivalent Co(1) atoms to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(1)LiCo3 trigonal pyramid,  a cornercorner with one O(3)LiZnCo2 trigonal pyramid, corners with two equivalent O(4)LiCo3 trigonal pyramids, edges with two equivalent O(2)Li2Co3 trigonal bipyramids, and  an edgeedge with one O(3)LiZnCo2 trigonal pyramid. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Co(4) and two equivalent Co(1) atoms. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Co(3) and two equivalent Zn(1) atoms. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Co(1), two equivalent Co(4), and one Zn(1) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to two equivalent Co(2) and two equivalent Co(3) atoms.