KNa7V7CrO24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. K(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form KO12 cuboctahedra that share corners with twelve equivalent Na(2)O12 cuboctahedra, faces with six equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(3)O12 cuboctahedra, corners with eight equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. In the second Na site, Na(2) is bonded to one O(1), one O(3), two equivalent O(2), two equivalent O(4), two equivalent O(6), and four equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra, faces with four equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. In the third Na site, Na(3) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with twelve equivalent Na(1)O12 cuboctahedra, faces with six equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second V site, V(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with four equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third V site, V(3) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form VO6 octahedra that share corners with six equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. Cr(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(2), two equivalent Na(1), one V(1), and one Cr(1) atom to form distorted face-sharing OKNa3VCr octahedra. In the second O site, O(2) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(1), and one V(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(2), and one V(3) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one V(2) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(2), and one V(3) atom.
KNa7V7CrO24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. K(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form KO12 cuboctahedra that share corners with twelve equivalent Na(2)O12 cuboctahedra, faces with six equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. All K(1)-O(1) bond lengths are 2.70 Å. All K(1)-O(3) bond lengths are 2.71 Å. All K(1)-O(2) bond lengths are 2.70 Å. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(3)O12 cuboctahedra, corners with eight equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. The Na(1)-O(4) bond length is 2.68 Å. The Na(1)-O(6) bond length is 2.69 Å. Both Na(1)-O(1) bond lengths are 2.68 Å. Both Na(1)-O(3) bond lengths are 2.69 Å. Both Na(1)-O(5) bond lengths are 2.69 Å. All Na(1)-O(2) bond lengths are 2.68 Å. In the second Na site, Na(2) is bonded to one O(1), one O(3), two equivalent O(2), two equivalent O(4), two equivalent O(6), and four equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra, faces with four equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. The Na(2)-O(1) bond length is 2.65 Å. The Na(2)-O(3) bond length is 2.66 Å. Both Na(2)-O(2) bond lengths are 2.66 Å. Both Na(2)-O(4) bond lengths are 2.67 Å. Both Na(2)-O(6) bond lengths are 2.69 Å. All Na(2)-O(5) bond lengths are 2.68 Å. In the third Na site, Na(3) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with twelve equivalent Na(1)O12 cuboctahedra, faces with six equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. All Na(3)-O(4) bond lengths are 2.67 Å. All Na(3)-O(6) bond lengths are 2.68 Å. All Na(3)-O(5) bond lengths are 2.67 Å. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. The V(1)-O(1) bond length is 1.87 Å. The V(1)-O(4) bond length is 1.86 Å. Both V(1)-O(2) bond lengths are 1.91 Å. Both V(1)-O(5) bond lengths are 1.90 Å. In the second V site, V(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with four equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. The V(2)-O(3) bond length is 1.91 Å. The V(2)-O(6) bond length is 1.90 Å. Both V(2)-O(2) bond lengths are 1.89 Å. Both V(2)-O(5) bond lengths are 1.88 Å. In the third V site, V(3) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form VO6 octahedra that share corners with six equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. All V(3)-O(3) bond lengths are 1.90 Å. All V(3)-O(6) bond lengths are 1.89 Å. Cr(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. All Cr(1)-O(1) bond lengths are 1.94 Å. All Cr(1)-O(4) bond lengths are 1.92 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(2), two equivalent Na(1), one V(1), and one Cr(1) atom to form distorted face-sharing OKNa3VCr octahedra. In the second O site, O(2) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(1), and one V(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(2), and one V(3) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one V(2) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(2), and one V(3) atom.