LiNb13O33 crystallizes in the monoclinic C2/m space group. Li(1) is bonded in a square co-planar geometry to four equivalent O(3) atoms. There are seven inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(1), one O(2), one O(5), one O(7), and two equivalent O(16) atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 1-18°. In the second Nb site, Nb(2) is bonded in a 6-coordinate geometry to one O(1), one O(3), one O(6), one O(8), and two equivalent O(15) atoms. In the third Nb site, Nb(3) is bonded in a 6-coordinate geometry to one O(10), one O(3), one O(5), one O(8), and two equivalent O(14) atoms. In the fourth Nb site, Nb(4) is bonded to one O(11), one O(4), one O(6), one O(9), and two equivalent O(13) atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 2-33°. In the fifth Nb site, Nb(5) is bonded to one O(12), one O(13), one O(7), one O(9), and two equivalent O(11) atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 3-34°. In the sixth Nb site, Nb(6) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(14), one O(15), and two equivalent O(8) atoms. In the seventh Nb site, Nb(7) is bonded to two equivalent O(17), two equivalent O(2), and two equivalent O(4) atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded in a linear geometry to one Nb(1) and one Nb(2) atom. In the second O site, O(2) is bonded in a linear geometry to one Nb(1) and one Nb(7) atom. In the third O site, O(3) is bonded to two equivalent Li(1), one Nb(2), and one Nb(3) atom to form OLi2Nb2 tetrahedra that share corners with four equivalent O(3)Li2Nb2 tetrahedra,  an edgeedge with one O(3)Li2Nb2 tetrahedra, and  an edgeedge with one O(8)Nb4 trigonal pyramid. In the fourth O site, O(4) is bonded in a linear geometry to one Nb(4) and one Nb(7) atom. In the fifth O site, O(5) is bonded in a linear geometry to one Nb(1) and one Nb(3) atom. In the sixth O site, O(6) is bonded in a linear geometry to one Nb(2) and one Nb(4) atom. In the seventh O site, O(7) is bonded in a linear geometry to one Nb(1) and one Nb(5) atom. In the eighth O site, O(8) is bonded to one Nb(2), one Nb(3), and two equivalent Nb(6) atoms to form distorted ONb4 trigonal pyramids that share corners with two equivalent O(8)Nb4 trigonal pyramids and  an edgeedge with one O(3)Li2Nb2 tetrahedra. In the ninth O site, O(9) is bonded in a linear geometry to one Nb(4) and one Nb(5) atom. In the tenth O site, O(10) is bonded in a linear geometry to one Nb(3) and one Nb(6) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Nb(4) and two equivalent Nb(5) atoms. In the twelfth O site, O(12) is bonded in a linear geometry to one Nb(5) and one Nb(6) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Nb(5) and two equivalent Nb(4) atoms. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Nb(6) and two equivalent Nb(3) atoms. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Nb(6) and two equivalent Nb(2) atoms. In the sixteenth O site, O(16) is bonded in a bent 150 degrees geometry to two equivalent Nb(1) atoms. In the seventeenth O site, O(17) is bonded in a linear geometry to two equivalent Nb(7) atoms.
LiNb13O33 crystallizes in the monoclinic C2/m space group. Li(1) is bonded in a square co-planar geometry to four equivalent O(3) atoms. All Li(1)-O(3) bond lengths are 2.54 Å. There are seven inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(1), one O(2), one O(5), one O(7), and two equivalent O(16) atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 1-18°. The Nb(1)-O(1) bond length is 2.14 Å. The Nb(1)-O(2) bond length is 1.87 Å. The Nb(1)-O(5) bond length is 2.23 Å. The Nb(1)-O(7) bond length is 1.98 Å. Both Nb(1)-O(16) bond lengths are 1.96 Å. In the second Nb site, Nb(2) is bonded in a 6-coordinate geometry to one O(1), one O(3), one O(6), one O(8), and two equivalent O(15) atoms. The Nb(2)-O(1) bond length is 1.81 Å. The Nb(2)-O(3) bond length is 2.10 Å. The Nb(2)-O(6) bond length is 1.97 Å. The Nb(2)-O(8) bond length is 2.41 Å. Both Nb(2)-O(15) bond lengths are 2.01 Å. In the third Nb site, Nb(3) is bonded in a 6-coordinate geometry to one O(10), one O(3), one O(5), one O(8), and two equivalent O(14) atoms. The Nb(3)-O(10) bond length is 2.08 Å. The Nb(3)-O(3) bond length is 2.00 Å. The Nb(3)-O(5) bond length is 1.79 Å. The Nb(3)-O(8) bond length is 2.42 Å. Both Nb(3)-O(14) bond lengths are 2.01 Å. In the fourth Nb site, Nb(4) is bonded to one O(11), one O(4), one O(6), one O(9), and two equivalent O(13) atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 2-33°. The Nb(4)-O(11) bond length is 2.29 Å. The Nb(4)-O(4) bond length is 1.85 Å. The Nb(4)-O(6) bond length is 1.92 Å. The Nb(4)-O(9) bond length is 2.10 Å. Both Nb(4)-O(13) bond lengths are 2.01 Å. In the fifth Nb site, Nb(5) is bonded to one O(12), one O(13), one O(7), one O(9), and two equivalent O(11) atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 3-34°. The Nb(5)-O(12) bond length is 2.19 Å. The Nb(5)-O(13) bond length is 2.29 Å. The Nb(5)-O(7) bond length is 1.89 Å. The Nb(5)-O(9) bond length is 1.84 Å. Both Nb(5)-O(11) bond lengths are 2.02 Å. In the sixth Nb site, Nb(6) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(14), one O(15), and two equivalent O(8) atoms. The Nb(6)-O(10) bond length is 1.84 Å. The Nb(6)-O(12) bond length is 1.80 Å. The Nb(6)-O(14) bond length is 2.36 Å. The Nb(6)-O(15) bond length is 2.35 Å. Both Nb(6)-O(8) bond lengths are 2.04 Å. In the seventh Nb site, Nb(7) is bonded to two equivalent O(17), two equivalent O(2), and two equivalent O(4) atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. Both Nb(7)-O(17) bond lengths are 1.93 Å. Both Nb(7)-O(2) bond lengths are 2.04 Å. Both Nb(7)-O(4) bond lengths are 2.04 Å. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded in a linear geometry to one Nb(1) and one Nb(2) atom. In the second O site, O(2) is bonded in a linear geometry to one Nb(1) and one Nb(7) atom. In the third O site, O(3) is bonded to two equivalent Li(1), one Nb(2), and one Nb(3) atom to form OLi2Nb2 tetrahedra that share corners with four equivalent O(3)Li2Nb2 tetrahedra,  an edgeedge with one O(3)Li2Nb2 tetrahedra, and  an edgeedge with one O(8)Nb4 trigonal pyramid. In the fourth O site, O(4) is bonded in a linear geometry to one Nb(4) and one Nb(7) atom. In the fifth O site, O(5) is bonded in a linear geometry to one Nb(1) and one Nb(3) atom. In the sixth O site, O(6) is bonded in a linear geometry to one Nb(2) and one Nb(4) atom. In the seventh O site, O(7) is bonded in a linear geometry to one Nb(1) and one Nb(5) atom. In the eighth O site, O(8) is bonded to one Nb(2), one Nb(3), and two equivalent Nb(6) atoms to form distorted ONb4 trigonal pyramids that share corners with two equivalent O(8)Nb4 trigonal pyramids and  an edgeedge with one O(3)Li2Nb2 tetrahedra. In the ninth O site, O(9) is bonded in a linear geometry to one Nb(4) and one Nb(5) atom. In the tenth O site, O(10) is bonded in a linear geometry to one Nb(3) and one Nb(6) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Nb(4) and two equivalent Nb(5) atoms. In the twelfth O site, O(12) is bonded in a linear geometry to one Nb(5) and one Nb(6) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Nb(5) and two equivalent Nb(4) atoms. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Nb(6) and two equivalent Nb(3) atoms. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Nb(6) and two equivalent Nb(2) atoms. In the sixteenth O site, O(16) is bonded in a bent 150 degrees geometry to two equivalent Nb(1) atoms. In the seventeenth O site, O(17) is bonded in a linear geometry to two equivalent Nb(7) atoms.