V7O13 crystallizes in the triclinic P1 space group. There are fourteen inequivalent V sites. In the first V site, V(1) is bonded to one O(16), one O(18), one O(19), one O(24), one O(25), and one O(3) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 42-54°. In the second V site, V(2) is bonded to one O(15), one O(17), one O(20), one O(23), one O(26), and one O(4) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 38-55°. In the third V site, V(3) is bonded to one O(12), one O(14), one O(17), one O(2), one O(4), and one O(8) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. In the fourth V site, V(4) is bonded to one O(1), one O(11), one O(13), one O(18), one O(3), and one O(7) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-62°. In the fifth V site, V(5) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(14), one O(22), one O(6), and one O(8) atom. In the sixth V site, V(6) is bonded in a 6-coordinate geometry to one O(13), one O(14), one O(2), one O(21), one O(5), and one O(7) atom. In the seventh V site, V(7) is bonded to one O(1), one O(14), one O(22), one O(3), one O(5), and one O(6) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. In the eighth V site, V(8) is bonded to one O(13), one O(2), one O(21), one O(4), one O(5), and one O(6) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-50°. In the ninth V site, V(9) is bonded to one O(12), one O(15), one O(2), one O(20), one O(22), and one O(6) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 38-63°. In the tenth V site, V(10) is bonded to one O(1), one O(11), one O(16), one O(19), one O(21), and one O(5) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 42-62°. In the eleventh V site, V(11) is bonded to one O(10), one O(11), one O(19), one O(24), one O(26), and one O(7) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the twelfth V site, V(12) is bonded to one O(12), one O(20), one O(23), one O(25), one O(8), and one O(9) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 42-55°. In the thirteenth V site, V(13) is bonded to one O(10), one O(15), one O(16), one O(25), one O(26), and one O(9) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. In the fourteenth V site, V(14) is bonded to one O(10), one O(17), one O(18), one O(23), one O(24), and one O(9) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-55°. There are twenty-six inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one V(10), one V(4), one V(5), and one V(7) atom. In the second O site, O(2) is bonded to one V(3), one V(6), one V(8), and one V(9) atom to form distorted edge-sharing OV4 trigonal pyramids. In the third O site, O(3) is bonded in a 3-coordinate geometry to one V(1), one V(4), and one V(7) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one V(2), one V(3), and one V(8) atom. In the fifth O site, O(5) is bonded to one V(10), one V(6), one V(7), and one V(8) atom to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the sixth O site, O(6) is bonded to one V(5), one V(7), one V(8), and one V(9) atom to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one V(11), one V(4), and one V(6) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one V(12), one V(3), and one V(5) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one V(12), one V(13), and one V(14) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one V(11), one V(13), and one V(14) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one V(10), one V(11), and one V(4) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one V(12), one V(3), and one V(9) atom. In the thirteenth O site, O(13) is bonded to one V(4), one V(5), one V(6), and one V(8) atom to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one V(3), one V(5), one V(6), and one V(7) atom to form a mixture of edge and corner-sharing OV4 trigonal pyramids. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one V(13), one V(2), and one V(9) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one V(1), one V(10), and one V(13) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to one V(14), one V(2), and one V(3) atom. In the eighteenth O site, O(18) is bonded in a trigonal planar geometry to one V(1), one V(14), and one V(4) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one V(1), one V(10), and one V(11) atom. In the twentieth O site, O(20) is bonded in a trigonal planar geometry to one V(12), one V(2), and one V(9) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal planar geometry to one V(10), one V(6), and one V(8) atom. In the twenty-second O site, O(22) is bonded in a distorted trigonal planar geometry to one V(5), one V(7), and one V(9) atom. In the twenty-third O site, O(23) is bonded in a distorted trigonal planar geometry to one V(12), one V(14), and one V(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted T-shaped geometry to one V(1), one V(11), and one V(14) atom. In the twenty-fifth O site, O(25) is bonded in a trigonal planar geometry to one V(1), one V(12), and one V(13) atom. In the twenty-sixth O site, O(26) is bonded in a 3-coordinate geometry to one V(11), one V(13), and one V(2) atom.
V7O13 crystallizes in the triclinic P1 space group. There are fourteen inequivalent V sites. In the first V site, V(1) is bonded to one O(16), one O(18), one O(19), one O(24), one O(25), and one O(3) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 42-54°. The V(1)-O(16) bond length is 2.10 Å. The V(1)-O(18) bond length is 1.88 Å. The V(1)-O(19) bond length is 1.97 Å. The V(1)-O(24) bond length is 1.87 Å. The V(1)-O(25) bond length is 1.89 Å. The V(1)-O(3) bond length is 2.15 Å. In the second V site, V(2) is bonded to one O(15), one O(17), one O(20), one O(23), one O(26), and one O(4) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 38-55°. The V(2)-O(15) bond length is 1.94 Å. The V(2)-O(17) bond length is 2.00 Å. The V(2)-O(20) bond length is 1.97 Å. The V(2)-O(23) bond length is 2.00 Å. The V(2)-O(26) bond length is 1.77 Å. The V(2)-O(4) bond length is 2.17 Å. In the third V site, V(3) is bonded to one O(12), one O(14), one O(17), one O(2), one O(4), and one O(8) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. The V(3)-O(12) bond length is 1.80 Å. The V(3)-O(14) bond length is 2.20 Å. The V(3)-O(17) bond length is 1.87 Å. The V(3)-O(2) bond length is 2.10 Å. The V(3)-O(4) bond length is 2.11 Å. The V(3)-O(8) bond length is 1.90 Å. In the fourth V site, V(4) is bonded to one O(1), one O(11), one O(13), one O(18), one O(3), and one O(7) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-62°. The V(4)-O(1) bond length is 2.12 Å. The V(4)-O(11) bond length is 1.95 Å. The V(4)-O(13) bond length is 2.15 Å. The V(4)-O(18) bond length is 2.01 Å. The V(4)-O(3) bond length is 2.10 Å. The V(4)-O(7) bond length is 1.95 Å. In the fifth V site, V(5) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(14), one O(22), one O(6), and one O(8) atom. The V(5)-O(1) bond length is 2.14 Å. The V(5)-O(13) bond length is 2.00 Å. The V(5)-O(14) bond length is 2.15 Å. The V(5)-O(22) bond length is 1.78 Å. The V(5)-O(6) bond length is 1.98 Å. The V(5)-O(8) bond length is 1.92 Å. In the sixth V site, V(6) is bonded in a 6-coordinate geometry to one O(13), one O(14), one O(2), one O(21), one O(5), and one O(7) atom. The V(6)-O(13) bond length is 2.21 Å. The V(6)-O(14) bond length is 1.99 Å. The V(6)-O(2) bond length is 2.11 Å. The V(6)-O(21) bond length is 1.76 Å. The V(6)-O(5) bond length is 2.01 Å. The V(6)-O(7) bond length is 1.90 Å. In the seventh V site, V(7) is bonded to one O(1), one O(14), one O(22), one O(3), one O(5), and one O(6) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-53°. The V(7)-O(1) bond length is 2.01 Å. The V(7)-O(14) bond length is 2.01 Å. The V(7)-O(22) bond length is 2.01 Å. The V(7)-O(3) bond length is 1.74 Å. The V(7)-O(5) bond length is 2.01 Å. The V(7)-O(6) bond length is 2.16 Å. In the eighth V site, V(8) is bonded to one O(13), one O(2), one O(21), one O(4), one O(5), and one O(6) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-50°. The V(8)-O(13) bond length is 1.97 Å. The V(8)-O(2) bond length is 2.03 Å. The V(8)-O(21) bond length is 2.01 Å. The V(8)-O(4) bond length is 1.75 Å. The V(8)-O(5) bond length is 2.17 Å. The V(8)-O(6) bond length is 2.02 Å. In the ninth V site, V(9) is bonded to one O(12), one O(15), one O(2), one O(20), one O(22), and one O(6) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 38-63°. The V(9)-O(12) bond length is 2.03 Å. The V(9)-O(15) bond length is 1.91 Å. The V(9)-O(2) bond length is 2.13 Å. The V(9)-O(20) bond length is 2.01 Å. The V(9)-O(22) bond length is 2.14 Å. The V(9)-O(6) bond length is 2.08 Å. In the tenth V site, V(10) is bonded to one O(1), one O(11), one O(16), one O(19), one O(21), and one O(5) atom to form a mixture of distorted edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 42-62°. The V(10)-O(1) bond length is 2.10 Å. The V(10)-O(11) bond length is 1.89 Å. The V(10)-O(16) bond length is 1.76 Å. The V(10)-O(19) bond length is 1.93 Å. The V(10)-O(21) bond length is 2.28 Å. The V(10)-O(5) bond length is 2.08 Å. In the eleventh V site, V(11) is bonded to one O(10), one O(11), one O(19), one O(24), one O(26), and one O(7) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. The V(11)-O(10) bond length is 2.08 Å. The V(11)-O(11) bond length is 2.01 Å. The V(11)-O(19) bond length is 2.04 Å. The V(11)-O(24) bond length is 2.04 Å. The V(11)-O(26) bond length is 2.05 Å. The V(11)-O(7) bond length is 1.99 Å. In the twelfth V site, V(12) is bonded to one O(12), one O(20), one O(23), one O(25), one O(8), and one O(9) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 42-55°. The V(12)-O(12) bond length is 2.03 Å. The V(12)-O(20) bond length is 1.91 Å. The V(12)-O(23) bond length is 1.86 Å. The V(12)-O(25) bond length is 1.96 Å. The V(12)-O(8) bond length is 2.08 Å. The V(12)-O(9) bond length is 1.95 Å. In the thirteenth V site, V(13) is bonded to one O(10), one O(15), one O(16), one O(25), one O(26), and one O(9) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 44-54°. The V(13)-O(10) bond length is 1.99 Å. The V(13)-O(15) bond length is 2.03 Å. The V(13)-O(16) bond length is 2.08 Å. The V(13)-O(25) bond length is 2.01 Å. The V(13)-O(26) bond length is 2.10 Å. The V(13)-O(9) bond length is 1.99 Å. In the fourteenth V site, V(14) is bonded to one O(10), one O(17), one O(18), one O(23), one O(24), and one O(9) atom to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles range from 43-55°. The V(14)-O(10) bond length is 1.83 Å. The V(14)-O(17) bond length is 2.08 Å. The V(14)-O(18) bond length is 1.99 Å. The V(14)-O(23) bond length is 2.05 Å. The V(14)-O(24) bond length is 2.00 Å. The V(14)-O(9) bond length is 1.91 Å. There are twenty-six inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one V(10), one V(4), one V(5), and one V(7) atom. In the second O site, O(2) is bonded to one V(3), one V(6), one V(8), and one V(9) atom to form distorted edge-sharing OV4 trigonal pyramids. In the third O site, O(3) is bonded in a 3-coordinate geometry to one V(1), one V(4), and one V(7) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one V(2), one V(3), and one V(8) atom. In the fifth O site, O(5) is bonded to one V(10), one V(6), one V(7), and one V(8) atom to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the sixth O site, O(6) is bonded to one V(5), one V(7), one V(8), and one V(9) atom to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one V(11), one V(4), and one V(6) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one V(12), one V(3), and one V(5) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one V(12), one V(13), and one V(14) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one V(11), one V(13), and one V(14) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one V(10), one V(11), and one V(4) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one V(12), one V(3), and one V(9) atom. In the thirteenth O site, O(13) is bonded to one V(4), one V(5), one V(6), and one V(8) atom to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one V(3), one V(5), one V(6), and one V(7) atom to form a mixture of edge and corner-sharing OV4 trigonal pyramids. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one V(13), one V(2), and one V(9) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one V(1), one V(10), and one V(13) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to one V(14), one V(2), and one V(3) atom. In the eighteenth O site, O(18) is bonded in a trigonal planar geometry to one V(1), one V(14), and one V(4) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one V(1), one V(10), and one V(11) atom. In the twentieth O site, O(20) is bonded in a trigonal planar geometry to one V(12), one V(2), and one V(9) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal planar geometry to one V(10), one V(6), and one V(8) atom. In the twenty-second O site, O(22) is bonded in a distorted trigonal planar geometry to one V(5), one V(7), and one V(9) atom. In the twenty-third O site, O(23) is bonded in a distorted trigonal planar geometry to one V(12), one V(14), and one V(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted T-shaped geometry to one V(1), one V(11), and one V(14) atom. In the twenty-fifth O site, O(25) is bonded in a trigonal planar geometry to one V(1), one V(12), and one V(13) atom. In the twenty-sixth O site, O(26) is bonded in a 3-coordinate geometry to one V(11), one V(13), and one V(2) atom.