K2V3P4O17 crystallizes in the monoclinic Pc space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(17), one O(7), two equivalent O(1), two equivalent O(14), and two equivalent O(5) atoms. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(17), one O(6), one O(8), two equivalent O(13), and two equivalent O(2) atoms. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(12), one O(15), one O(7), and one O(9) atom to form distorted VO5 trigonal bipyramids that share corners with two equivalent P(1)O4 tetrahedra and corners with two equivalent P(3)O4 tetrahedra. In the second V site, V(2) is bonded to one O(10), one O(11), one O(16), one O(2), and one O(8) atom to form distorted VO5 trigonal bipyramids that share corners with two equivalent P(2)O4 tetrahedra and corners with two equivalent P(4)O4 tetrahedra. In the third V site, V(3) is bonded to one O(13), one O(14), one O(17), one O(5), and one O(6) atom to form distorted VO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and  a cornercorner with one P(4)O4 tetrahedra. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(13), one O(3), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(1)O5 trigonal bipyramids. In the second P site, P(2) is bonded to one O(10), one O(14), one O(4), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(2)O5 trigonal bipyramids. In the third P site, P(3) is bonded to one O(12), one O(15), one O(4), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(1)O5 trigonal bipyramids. In the fourth P site, P(4) is bonded to one O(11), one O(16), one O(3), and one O(5) atom to form PO4 tetrahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(2)O5 trigonal bipyramids. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to two equivalent K(1) and one V(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent K(2) and one V(2) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one P(1) and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one P(2) and one P(3) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to two equivalent K(1), one V(3), and one P(4) atom. In the sixth O site, O(6) is bonded in a 2-coordinate geometry to one K(2), one V(3), and one P(3) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one V(1), and one P(1) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(2), one V(2), and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one V(1) and one P(1) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one V(2) and one P(2) atom. In the eleventh O site, O(11) is bonded in a linear geometry to one V(2) and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted linear geometry to one V(1) and one P(3) atom. In the thirteenth O site, O(13) is bonded in a 2-coordinate geometry to two equivalent K(2), one V(3), and one P(1) atom. In the fourteenth O site, O(14) is bonded in a distorted bent 120 degrees geometry to two equivalent K(1), one V(3), and one P(2) atom. In the fifteenth O site, O(15) is bonded in a bent 150 degrees geometry to one V(1) and one P(3) atom. In the sixteenth O site, O(16) is bonded in a bent 150 degrees geometry to one V(2) and one P(4) atom. In the seventeenth O site, O(17) is bonded in a single-bond geometry to one K(1), one K(2), and one V(3) atom.
K2V3P4O17 crystallizes in the monoclinic Pc space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(17), one O(7), two equivalent O(1), two equivalent O(14), and two equivalent O(5) atoms. The K(1)-O(17) bond length is 2.96 Å. The K(1)-O(7) bond length is 3.15 Å. There is one shorter (2.98 Å) and one longer (3.01 Å) K(1)-O(1) bond length. There is one shorter (3.23 Å) and one longer (3.28 Å) K(1)-O(14) bond length. There is one shorter (3.20 Å) and one longer (3.28 Å) K(1)-O(5) bond length. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(17), one O(6), one O(8), two equivalent O(13), and two equivalent O(2) atoms. The K(2)-O(17) bond length is 2.97 Å. The K(2)-O(6) bond length is 3.06 Å. The K(2)-O(8) bond length is 3.15 Å. There is one shorter (3.17 Å) and one longer (3.31 Å) K(2)-O(13) bond length. There is one shorter (2.93 Å) and one longer (3.08 Å) K(2)-O(2) bond length. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(12), one O(15), one O(7), and one O(9) atom to form distorted VO5 trigonal bipyramids that share corners with two equivalent P(1)O4 tetrahedra and corners with two equivalent P(3)O4 tetrahedra. The V(1)-O(1) bond length is 1.63 Å. The V(1)-O(12) bond length is 1.97 Å. The V(1)-O(15) bond length is 1.98 Å. The V(1)-O(7) bond length is 2.04 Å. The V(1)-O(9) bond length is 2.00 Å. In the second V site, V(2) is bonded to one O(10), one O(11), one O(16), one O(2), and one O(8) atom to form distorted VO5 trigonal bipyramids that share corners with two equivalent P(2)O4 tetrahedra and corners with two equivalent P(4)O4 tetrahedra. The V(2)-O(10) bond length is 1.99 Å. The V(2)-O(11) bond length is 1.96 Å. The V(2)-O(16) bond length is 1.99 Å. The V(2)-O(2) bond length is 1.63 Å. The V(2)-O(8) bond length is 2.04 Å. In the third V site, V(3) is bonded to one O(13), one O(14), one O(17), one O(5), and one O(6) atom to form distorted VO5 trigonal bipyramids that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and  a cornercorner with one P(4)O4 tetrahedra. The V(3)-O(13) bond length is 2.01 Å. The V(3)-O(14) bond length is 2.00 Å. The V(3)-O(17) bond length is 1.64 Å. The V(3)-O(5) bond length is 1.98 Å. The V(3)-O(6) bond length is 1.99 Å. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(13), one O(3), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(1)O5 trigonal bipyramids. The P(1)-O(13) bond length is 1.53 Å. The P(1)-O(3) bond length is 1.61 Å. The P(1)-O(7) bond length is 1.53 Å. The P(1)-O(9) bond length is 1.53 Å. In the second P site, P(2) is bonded to one O(10), one O(14), one O(4), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(2)O5 trigonal bipyramids. The P(2)-O(10) bond length is 1.53 Å. The P(2)-O(14) bond length is 1.53 Å. The P(2)-O(4) bond length is 1.61 Å. The P(2)-O(8) bond length is 1.53 Å. In the third P site, P(3) is bonded to one O(12), one O(15), one O(4), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(1)O5 trigonal bipyramids. The P(3)-O(12) bond length is 1.51 Å. The P(3)-O(15) bond length is 1.51 Å. The P(3)-O(4) bond length is 1.62 Å. The P(3)-O(6) bond length is 1.54 Å. In the fourth P site, P(4) is bonded to one O(11), one O(16), one O(3), and one O(5) atom to form PO4 tetrahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(2)O5 trigonal bipyramids. The P(4)-O(11) bond length is 1.51 Å. The P(4)-O(16) bond length is 1.51 Å. The P(4)-O(3) bond length is 1.62 Å. The P(4)-O(5) bond length is 1.53 Å. There are seventeen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to two equivalent K(1) and one V(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent K(2) and one V(2) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one P(1) and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one P(2) and one P(3) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to two equivalent K(1), one V(3), and one P(4) atom. In the sixth O site, O(6) is bonded in a 2-coordinate geometry to one K(2), one V(3), and one P(3) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one V(1), and one P(1) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(2), one V(2), and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one V(1) and one P(1) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one V(2) and one P(2) atom. In the eleventh O site, O(11) is bonded in a linear geometry to one V(2) and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted linear geometry to one V(1) and one P(3) atom. In the thirteenth O site, O(13) is bonded in a 2-coordinate geometry to two equivalent K(2), one V(3), and one P(1) atom. In the fourteenth O site, O(14) is bonded in a distorted bent 120 degrees geometry to two equivalent K(1), one V(3), and one P(2) atom. In the fifteenth O site, O(15) is bonded in a bent 150 degrees geometry to one V(1) and one P(3) atom. In the sixteenth O site, O(16) is bonded in a bent 150 degrees geometry to one V(2) and one P(4) atom. In the seventeenth O site, O(17) is bonded in a single-bond geometry to one K(1), one K(2), and one V(3) atom.