NbVCo6 is beta Cu3Ti-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to three Co(1,1,1); three equivalent Co(6); and six Co(3,3) atoms to form NbCo12 cuboctahedra that share corners with three equivalent V(1)Co12 cuboctahedra; corners with six equivalent Nb(1)Co12 cuboctahedra; corners with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with three Co(2,2)NbV3Co8 cuboctahedra; edges with six Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(3,3)Nb3VCo8 cuboctahedra; edges with six equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra; faces with three equivalent Nb(3)Co12 cuboctahedra; faces with three equivalent V(2)Co12 cuboctahedra; faces with three Co(1,1,1)Nb3VCo8 cuboctahedra; faces with three equivalent Co(6)NbV3Co8 cuboctahedra; and faces with six Co(3,3)Nb3VCo8 cuboctahedra. In the second Nb site, Nb(2) is bonded to three equivalent Co(2); three equivalent Co(5); and six Co(4,4) atoms to form NbCo12 cuboctahedra that share corners with three equivalent Nb(3)Co12 cuboctahedra; corners with six equivalent Nb(2)Co12 cuboctahedra; corners with six equivalent Co(6)NbV3Co8 cuboctahedra; edges with three Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with three equivalent V(1)Co12 cuboctahedra; faces with three equivalent V(3)Co12 cuboctahedra; faces with three equivalent Co(5)Nb2V2Co8 cuboctahedra; faces with three equivalent Co(2)NbV3Co8 cuboctahedra; and faces with six Co(4,4)Nb2V2Co8 cuboctahedra. In the third Nb site, Nb(3) is bonded to three Co(3,3); three equivalent Co(5); and six Co(1,1,1) atoms to form NbCo12 cuboctahedra that share corners with three equivalent Nb(2)Co12 cuboctahedra; corners with six equivalent Nb(3)Co12 cuboctahedra; corners with six equivalent Co(6)NbV3Co8 cuboctahedra; edges with three Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with six Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(3,3)Nb3VCo8 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with three equivalent Nb(1)Co12 cuboctahedra; faces with three equivalent V(3)Co12 cuboctahedra; faces with three equivalent Co(5)Nb2V2Co8 cuboctahedra; faces with three Co(3,3)Nb3VCo8 cuboctahedra; and faces with six Co(1,1,1)Nb3VCo8 cuboctahedra. There are three inequivalent V sites. In the first V site, V(1) is bonded to three Co(4,4); three equivalent Co(6); and six equivalent Co(2) atoms to form VCo12 cuboctahedra that share corners with three equivalent Nb(1)Co12 cuboctahedra; corners with six equivalent V(1)Co12 cuboctahedra; corners with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with three Co(3,3)Nb3VCo8 cuboctahedra; edges with six Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(2)NbV3Co8 cuboctahedra; edges with six equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra; faces with three equivalent Nb(2)Co12 cuboctahedra; faces with three equivalent V(2)Co12 cuboctahedra; faces with three Co(4,4)Nb2V2Co8 cuboctahedra; faces with three equivalent Co(6)NbV3Co8 cuboctahedra; and faces with six equivalent Co(2)NbV3Co8 cuboctahedra. In the second V site, V(2) is bonded to three Co(2,2); three Co(3,3); and six equivalent Co(6) atoms to form VCo12 cuboctahedra that share corners with six equivalent V(2)Co12 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with six Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(3,3)Nb3VCo8 cuboctahedra; edges with six Co(2,2)NbV3Co8 cuboctahedra; edges with six equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra; faces with three equivalent Nb(1)Co12 cuboctahedra; faces with three equivalent V(1)Co12 cuboctahedra; faces with three Co(3,3)Nb3VCo8 cuboctahedra; faces with three Co(2,2)NbV3Co8 cuboctahedra; and faces with six equivalent Co(6)NbV3Co8 cuboctahedra. In the third V site, V(3) is bonded to three Co(1,1,1); three Co(4,4); and six equivalent Co(5) atoms to form VCo12 cuboctahedra that share corners with six equivalent V(3)Co12 cuboctahedra; corners with six Co(3,3)Nb3VCo8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra; edges with six Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with six Co(1,1,1)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra; faces with three equivalent Nb(2)Co12 cuboctahedra; faces with three equivalent Nb(3)Co12 cuboctahedra; faces with three Co(4,4)Nb2V2Co8 cuboctahedra; faces with three Co(1,1,1)Nb3VCo8 cuboctahedra; and faces with six equivalent Co(5)Nb2V2Co8 cuboctahedra. There are fourteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one Nb(1); two equivalent Nb(3); one V(3); two Co(3,3); two equivalent Co(5); and four Co(1,1) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(1)Nb3VCo8 cuboctahedra;  an edgeedge with one Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(3,3)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(3)Co12 cuboctahedra; faces with four Co(1,1)Nb3VCo8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(3,3)Nb3VCo8 cuboctahedra. In the second Co site, Co(2) is bonded to one Nb(2), one V(2), two equivalent V(1), two equivalent Co(4), two equivalent Co(6), and four equivalent Co(2) atoms to form distorted CoNbV3Co8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra;  an edgeedge with one Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(2)NbV3Co8 cuboctahedra; faces with five Co(4,4)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. In the third Co site, Co(1) is bonded to one Nb(1); two equivalent Nb(3); one V(3); two Co(3,3); two equivalent Co(5); and four Co(1,1) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(1)Nb3VCo8 cuboctahedra;  an edgeedge with one Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(3,3)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(3)Co12 cuboctahedra; faces with four Co(1,1)Nb3VCo8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(3,3)Nb3VCo8 cuboctahedra. In the fourth Co site, Co(1) is bonded to one Nb(1); two equivalent Nb(3); one V(3); two equivalent Co(3); two equivalent Co(5); and four Co(1,1) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(1)Nb3VCo8 cuboctahedra;  an edgeedge with one Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(3)Co12 cuboctahedra; faces with four Co(1,1)Nb3VCo8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(3,3)Nb3VCo8 cuboctahedra. In the fifth Co site, Co(3) is bonded to one Nb(3); two equivalent Nb(1); one V(2); two Co(1,1); two equivalent Co(6); and four Co(3,3) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(2)NbV3Co8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(3)Nb3VCo8 cuboctahedra;  an edgeedge with one V(1)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(2,2)NbV3Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent Nb(1)Co12 cuboctahedra; faces with four Co(3,3)Nb3VCo8 cuboctahedra; faces with five Co(1,1,1)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. In the sixth Co site, Co(4) is bonded to two equivalent Nb(2), one V(1), one V(3), two equivalent Co(2), two equivalent Co(5), and four equivalent Co(4) atoms to form distorted CoNb2V2Co8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)Nb3VCo8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra;  an edgeedge with one Nb(3)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(2)Co12 cuboctahedra; faces with four equivalent Co(4)Nb2V2Co8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(2)NbV3Co8 cuboctahedra. In the seventh Co site, Co(4) is bonded to two equivalent Nb(2); one V(1); one V(3); two equivalent Co(2); two equivalent Co(5); and four Co(4,4) atoms to form distorted CoNb2V2Co8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)Nb3VCo8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra;  an edgeedge with one Nb(3)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(2)Co12 cuboctahedra; faces with four Co(4,4)Nb2V2Co8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(2)NbV3Co8 cuboctahedra. In the eighth Co site, Co(3) is bonded to one Nb(3); two equivalent Nb(1); one V(2); two Co(1,1); two equivalent Co(6); and four equivalent Co(3) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(2)NbV3Co8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(3)Nb3VCo8 cuboctahedra;  an edgeedge with one V(1)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(2,2)NbV3Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent Nb(1)Co12 cuboctahedra; faces with four equivalent Co(3)Nb3VCo8 cuboctahedra; faces with five Co(1,1,1)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. In the ninth Co site, Co(5) is bonded to one Nb(2); one Nb(3); two equivalent V(3); two Co(1,1); two Co(4,4); and four equivalent Co(5) atoms to form CoNb2V2Co8 cuboctahedra that share corners with two equivalent Nb(1)Co12 cuboctahedra; corners with two equivalent V(1)Co12 cuboctahedra; corners with four Co(3,3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(2)NbV3Co8 cuboctahedra; corners with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with four Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one Co(3)Nb3VCo8 cuboctahedra;  a faceface with one Co(2)NbV3Co8 cuboctahedra; faces with two equivalent V(3)Co12 cuboctahedra; faces with four equivalent Co(5)Nb2V2Co8 cuboctahedra; faces with five Co(4,4)Nb2V2Co8 cuboctahedra; and faces with five Co(1,1,1)Nb3VCo8 cuboctahedra. In the tenth Co site, Co(6) is bonded to one Nb(1), one V(1), two equivalent V(2), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(6) atoms to form CoNbV3Co8 cuboctahedra that share corners with two equivalent Nb(2)Co12 cuboctahedra; corners with two equivalent Nb(3)Co12 cuboctahedra; corners with four Co(4,4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(1)Nb3VCo8 cuboctahedra; corners with six equivalent Co(6)NbV3Co8 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one Co(4)Nb2V2Co8 cuboctahedra;  a faceface with one Co(1)Nb3VCo8 cuboctahedra; faces with two equivalent V(2)Co12 cuboctahedra; faces with four equivalent Co(6)NbV3Co8 cuboctahedra; faces with five Co(3,3)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(2)NbV3Co8 cuboctahedra. In the eleventh Co site, Co(2) is bonded to one Nb(2), one V(2), two equivalent V(1), two equivalent Co(4), two equivalent Co(6), and four equivalent Co(2) atoms to form distorted CoNbV3Co8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra;  an edgeedge with one Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(2)NbV3Co8 cuboctahedra; faces with five equivalent Co(4)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. In the twelfth Co site, Co(3) is bonded to one Nb(3), two equivalent Nb(1), one V(2), two equivalent Co(1), two equivalent Co(6), and four equivalent Co(3) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(2)NbV3Co8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(3)Nb3VCo8 cuboctahedra;  an edgeedge with one V(1)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(2,2)NbV3Co8 cuboctahedra; edges with four equivalent Co(1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent Nb(1)Co12 cuboctahedra; faces with four equivalent Co(3)Nb3VCo8 cuboctahedra; faces with five Co(1,1)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. In the thirteenth Co site, Co(2) is bonded to one Nb(2), one V(2), two equivalent V(1), two equivalent Co(4), two equivalent Co(6), and four equivalent Co(2) atoms to form distorted CoNbV3Co8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra;  an edgeedge with one Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(2)NbV3Co8 cuboctahedra; faces with five Co(4,4)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. In the fourteenth Co site, Co(4) is bonded to two equivalent Nb(2), one V(1), one V(3), two equivalent Co(2), two equivalent Co(5), and four equivalent Co(4) atoms to form distorted CoNb2V2Co8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)Nb3VCo8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra;  an edgeedge with one Nb(3)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(2)Co12 cuboctahedra; faces with four equivalent Co(4)Nb2V2Co8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(2,2)NbV3Co8 cuboctahedra.
NbVCo6 is beta Cu3Ti-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to three Co(1,1,1); three equivalent Co(6); and six Co(3,3) atoms to form NbCo12 cuboctahedra that share corners with three equivalent V(1)Co12 cuboctahedra; corners with six equivalent Nb(1)Co12 cuboctahedra; corners with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with three Co(2,2)NbV3Co8 cuboctahedra; edges with six Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(3,3)Nb3VCo8 cuboctahedra; edges with six equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra; faces with three equivalent Nb(3)Co12 cuboctahedra; faces with three equivalent V(2)Co12 cuboctahedra; faces with three Co(1,1,1)Nb3VCo8 cuboctahedra; faces with three equivalent Co(6)NbV3Co8 cuboctahedra; and faces with six Co(3,3)Nb3VCo8 cuboctahedra. All Nb(1)-Co(1,1,1) bond lengths are 2.56 Å. All Nb(1)-Co(6) bond lengths are 2.64 Å. All Nb(1)-Co(3,3) bond lengths are 2.56 Å. In the second Nb site, Nb(2) is bonded to three equivalent Co(2); three equivalent Co(5); and six Co(4,4) atoms to form NbCo12 cuboctahedra that share corners with three equivalent Nb(3)Co12 cuboctahedra; corners with six equivalent Nb(2)Co12 cuboctahedra; corners with six equivalent Co(6)NbV3Co8 cuboctahedra; edges with three Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with three equivalent V(1)Co12 cuboctahedra; faces with three equivalent V(3)Co12 cuboctahedra; faces with three equivalent Co(5)Nb2V2Co8 cuboctahedra; faces with three equivalent Co(2)NbV3Co8 cuboctahedra; and faces with six Co(4,4)Nb2V2Co8 cuboctahedra. All Nb(2)-Co(2) bond lengths are 2.53 Å. All Nb(2)-Co(5) bond lengths are 2.60 Å. All Nb(2)-Co(4,4) bond lengths are 2.55 Å. In the third Nb site, Nb(3) is bonded to three Co(3,3); three equivalent Co(5); and six Co(1,1,1) atoms to form NbCo12 cuboctahedra that share corners with three equivalent Nb(2)Co12 cuboctahedra; corners with six equivalent Nb(3)Co12 cuboctahedra; corners with six equivalent Co(6)NbV3Co8 cuboctahedra; edges with three Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with six Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(3,3)Nb3VCo8 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra; faces with three equivalent Nb(1)Co12 cuboctahedra; faces with three equivalent V(3)Co12 cuboctahedra; faces with three equivalent Co(5)Nb2V2Co8 cuboctahedra; faces with three Co(3,3)Nb3VCo8 cuboctahedra; and faces with six Co(1,1,1)Nb3VCo8 cuboctahedra. All Nb(3)-Co(3,3) bond lengths are 2.55 Å. All Nb(3)-Co(5) bond lengths are 2.62 Å. All Nb(3)-Co(1,1,1) bond lengths are 2.56 Å. There are three inequivalent V sites. In the first V site, V(1) is bonded to three Co(4,4); three equivalent Co(6); and six equivalent Co(2) atoms to form VCo12 cuboctahedra that share corners with three equivalent Nb(1)Co12 cuboctahedra; corners with six equivalent V(1)Co12 cuboctahedra; corners with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with three Co(3,3)Nb3VCo8 cuboctahedra; edges with six Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(2)NbV3Co8 cuboctahedra; edges with six equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra; faces with three equivalent Nb(2)Co12 cuboctahedra; faces with three equivalent V(2)Co12 cuboctahedra; faces with three Co(4,4)Nb2V2Co8 cuboctahedra; faces with three equivalent Co(6)NbV3Co8 cuboctahedra; and faces with six equivalent Co(2)NbV3Co8 cuboctahedra. All V(1)-Co(4,4) bond lengths are 2.47 Å. All V(1)-Co(6) bond lengths are 2.55 Å. All V(1)-Co(2) bond lengths are 2.56 Å. In the second V site, V(2) is bonded to three Co(2,2); three Co(3,3); and six equivalent Co(6) atoms to form VCo12 cuboctahedra that share corners with six equivalent V(2)Co12 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with six Co(1,1,1)Nb3VCo8 cuboctahedra; edges with six Co(3,3)Nb3VCo8 cuboctahedra; edges with six Co(2,2)NbV3Co8 cuboctahedra; edges with six equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra; faces with three equivalent Nb(1)Co12 cuboctahedra; faces with three equivalent V(1)Co12 cuboctahedra; faces with three Co(3,3)Nb3VCo8 cuboctahedra; faces with three Co(2,2)NbV3Co8 cuboctahedra; and faces with six equivalent Co(6)NbV3Co8 cuboctahedra. All V(2)-Co(2,2) bond lengths are 2.53 Å. All V(2)-Co(3,3) bond lengths are 2.51 Å. All V(2)-Co(6) bond lengths are 2.55 Å. In the third V site, V(3) is bonded to three Co(1,1,1); three Co(4,4); and six equivalent Co(5) atoms to form VCo12 cuboctahedra that share corners with six equivalent V(3)Co12 cuboctahedra; corners with six Co(3,3)Nb3VCo8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra; edges with six Co(4,4)Nb2V2Co8 cuboctahedra; edges with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with six Co(1,1,1)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra; faces with three equivalent Nb(2)Co12 cuboctahedra; faces with three equivalent Nb(3)Co12 cuboctahedra; faces with three Co(4,4)Nb2V2Co8 cuboctahedra; faces with three Co(1,1,1)Nb3VCo8 cuboctahedra; and faces with six equivalent Co(5)Nb2V2Co8 cuboctahedra. All V(3)-Co(1,1,1) bond lengths are 2.53 Å. All V(3)-Co(4,4) bond lengths are 2.55 Å. All V(3)-Co(5) bond lengths are 2.55 Å. There are fourteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one Nb(1); two equivalent Nb(3); one V(3); two Co(3,3); two equivalent Co(5); and four Co(1,1) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(1)Nb3VCo8 cuboctahedra;  an edgeedge with one Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(3,3)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(3)Co12 cuboctahedra; faces with four Co(1,1)Nb3VCo8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(3,3)Nb3VCo8 cuboctahedra. Both Co(1)-Co(3,3) bond lengths are 2.60 Å. Both Co(1)-Co(5) bond lengths are 2.49 Å. There are two shorter (2.45 Å) and two longer (2.65 Å) Co(1)-Co(1,1) bond lengths. In the second Co site, Co(2) is bonded to one Nb(2), one V(2), two equivalent V(1), two equivalent Co(4), two equivalent Co(6), and four equivalent Co(2) atoms to form distorted CoNbV3Co8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra;  an edgeedge with one Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(2)NbV3Co8 cuboctahedra; faces with five Co(4,4)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. Both Co(2)-Co(4) bond lengths are 2.54 Å. Both Co(2)-Co(6) bond lengths are 2.44 Å. There are two shorter (2.45 Å) and two longer (2.65 Å) Co(2)-Co(2) bond lengths. In the third Co site, Co(1) is bonded to one Nb(1); two equivalent Nb(3); one V(3); two Co(3,3); two equivalent Co(5); and four Co(1,1) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(1)Nb3VCo8 cuboctahedra;  an edgeedge with one Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(3,3)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(3)Co12 cuboctahedra; faces with four Co(1,1)Nb3VCo8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(3,3)Nb3VCo8 cuboctahedra. Both Co(1)-Co(3,3) bond lengths are 2.60 Å. Both Co(1)-Co(5) bond lengths are 2.49 Å. There is one shorter (2.45 Å) and one longer (2.65 Å) Co(1)-Co(1) bond length. In the fourth Co site, Co(1) is bonded to one Nb(1); two equivalent Nb(3); one V(3); two equivalent Co(3); two equivalent Co(5); and four Co(1,1) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(1)Nb3VCo8 cuboctahedra;  an edgeedge with one Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(3)Co12 cuboctahedra; faces with four Co(1,1)Nb3VCo8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(3,3)Nb3VCo8 cuboctahedra. Both Co(1)-Co(3) bond lengths are 2.60 Å. Both Co(1)-Co(5) bond lengths are 2.49 Å. In the fifth Co site, Co(3) is bonded to one Nb(3); two equivalent Nb(1); one V(2); two Co(1,1); two equivalent Co(6); and four Co(3,3) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(2)NbV3Co8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(3)Nb3VCo8 cuboctahedra;  an edgeedge with one V(1)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(2,2)NbV3Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent Nb(1)Co12 cuboctahedra; faces with four Co(3,3)Nb3VCo8 cuboctahedra; faces with five Co(1,1,1)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. Both Co(3)-Co(6) bond lengths are 2.49 Å. There are two shorter (2.44 Å) and two longer (2.66 Å) Co(3)-Co(3,3) bond lengths. In the sixth Co site, Co(4) is bonded to two equivalent Nb(2), one V(1), one V(3), two equivalent Co(2), two equivalent Co(5), and four equivalent Co(4) atoms to form distorted CoNb2V2Co8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)Nb3VCo8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra;  an edgeedge with one Nb(3)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(2)Co12 cuboctahedra; faces with four equivalent Co(4)Nb2V2Co8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(2)NbV3Co8 cuboctahedra. Both Co(4)-Co(2) bond lengths are 2.54 Å. Both Co(4)-Co(5) bond lengths are 2.50 Å. There are two shorter (2.48 Å) and two longer (2.62 Å) Co(4)-Co(4) bond lengths. In the seventh Co site, Co(4) is bonded to two equivalent Nb(2); one V(1); one V(3); two equivalent Co(2); two equivalent Co(5); and four Co(4,4) atoms to form distorted CoNb2V2Co8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)Nb3VCo8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra;  an edgeedge with one Nb(3)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(1,1)Nb3VCo8 cuboctahedra; edges with four Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(2)Co12 cuboctahedra; faces with four Co(4,4)Nb2V2Co8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(2)NbV3Co8 cuboctahedra. Both Co(4)-Co(5) bond lengths are 2.50 Å. There is one shorter (2.48 Å) and one longer (2.62 Å) Co(4)-Co(4) bond length. In the eighth Co site, Co(3) is bonded to one Nb(3); two equivalent Nb(1); one V(2); two Co(1,1); two equivalent Co(6); and four equivalent Co(3) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(2)NbV3Co8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(3)Nb3VCo8 cuboctahedra;  an edgeedge with one V(1)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(2,2)NbV3Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent Nb(1)Co12 cuboctahedra; faces with four equivalent Co(3)Nb3VCo8 cuboctahedra; faces with five Co(1,1,1)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. Both Co(3)-Co(6) bond lengths are 2.49 Å. In the ninth Co site, Co(5) is bonded to one Nb(2); one Nb(3); two equivalent V(3); two Co(1,1); two Co(4,4); and four equivalent Co(5) atoms to form CoNb2V2Co8 cuboctahedra that share corners with two equivalent Nb(1)Co12 cuboctahedra; corners with two equivalent V(1)Co12 cuboctahedra; corners with four Co(3,3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(2)NbV3Co8 cuboctahedra; corners with six equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with four Co(4,4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four Co(1,1)Nb3VCo8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one Co(3)Nb3VCo8 cuboctahedra;  a faceface with one Co(2)NbV3Co8 cuboctahedra; faces with two equivalent V(3)Co12 cuboctahedra; faces with four equivalent Co(5)Nb2V2Co8 cuboctahedra; faces with five Co(4,4)Nb2V2Co8 cuboctahedra; and faces with five Co(1,1,1)Nb3VCo8 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.57 Å) Co(5)-Co(5) bond lengths. In the tenth Co site, Co(6) is bonded to one Nb(1), one V(1), two equivalent V(2), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(6) atoms to form CoNbV3Co8 cuboctahedra that share corners with two equivalent Nb(2)Co12 cuboctahedra; corners with two equivalent Nb(3)Co12 cuboctahedra; corners with four Co(4,4)Nb2V2Co8 cuboctahedra; corners with four equivalent Co(1)Nb3VCo8 cuboctahedra; corners with six equivalent Co(6)NbV3Co8 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(1)Co12 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one Co(4)Nb2V2Co8 cuboctahedra;  a faceface with one Co(1)Nb3VCo8 cuboctahedra; faces with two equivalent V(2)Co12 cuboctahedra; faces with four equivalent Co(6)NbV3Co8 cuboctahedra; faces with five Co(3,3)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(2)NbV3Co8 cuboctahedra. There are two shorter (2.51 Å) and two longer (2.60 Å) Co(6)-Co(6) bond lengths. In the eleventh Co site, Co(2) is bonded to one Nb(2), one V(2), two equivalent V(1), two equivalent Co(4), two equivalent Co(6), and four equivalent Co(2) atoms to form distorted CoNbV3Co8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra;  an edgeedge with one Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(2)NbV3Co8 cuboctahedra; faces with five equivalent Co(4)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. The Co(2)-Nb(2) bond length is 2.53 Å. Both Co(2)-V(1) bond lengths are 2.56 Å. Both Co(2)-Co(4) bond lengths are 2.54 Å. Both Co(2)-Co(6) bond lengths are 2.44 Å. There are two shorter (2.45 Å) and two longer (2.65 Å) Co(2)-Co(2) bond lengths. In the twelfth Co site, Co(3) is bonded to one Nb(3), two equivalent Nb(1), one V(2), two equivalent Co(1), two equivalent Co(6), and four equivalent Co(3) atoms to form distorted CoNb3VCo8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(2)NbV3Co8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(3)Nb3VCo8 cuboctahedra;  an edgeedge with one V(1)Co12 cuboctahedra; edges with two equivalent Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(3)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(2,2)NbV3Co8 cuboctahedra; edges with four equivalent Co(1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(3)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent Nb(1)Co12 cuboctahedra; faces with four equivalent Co(3)Nb3VCo8 cuboctahedra; faces with five Co(1,1)Nb3VCo8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. The Co(3)-Nb(3) bond length is 2.55 Å. Both Co(3)-Nb(1) bond lengths are 2.56 Å. The Co(3)-V(2) bond length is 2.51 Å. Both Co(3)-Co(1) bond lengths are 2.60 Å. Both Co(3)-Co(6) bond lengths are 2.49 Å. There are two shorter (2.44 Å) and two longer (2.66 Å) Co(3)-Co(3) bond lengths. In the thirteenth Co site, Co(2) is bonded to one Nb(2), one V(2), two equivalent V(1), two equivalent Co(4), two equivalent Co(6), and four equivalent Co(2) atoms to form distorted CoNbV3Co8 cuboctahedra that share corners with two equivalent V(3)Co12 cuboctahedra; corners with three equivalent Co(3)Nb3VCo8 cuboctahedra; corners with four equivalent Co(5)Nb2V2Co8 cuboctahedra; corners with six equivalent Co(2)NbV3Co8 cuboctahedra;  an edgeedge with one Nb(1)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(2)Co12 cuboctahedra; edges with two Co(3,3)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra; edges with four equivalent Co(6)NbV3Co8 cuboctahedra;  a faceface with one Nb(2)Co12 cuboctahedra;  a faceface with one V(2)Co12 cuboctahedra;  a faceface with one Co(5)Nb2V2Co8 cuboctahedra; faces with two equivalent V(1)Co12 cuboctahedra; faces with four equivalent Co(2)NbV3Co8 cuboctahedra; faces with five Co(4,4)Nb2V2Co8 cuboctahedra; and faces with five equivalent Co(6)NbV3Co8 cuboctahedra. The Co(2)-Nb(2) bond length is 2.53 Å. The Co(2)-V(2) bond length is 2.53 Å. Both Co(2)-V(1) bond lengths are 2.56 Å. Both Co(2)-Co(4) bond lengths are 2.54 Å. Both Co(2)-Co(6) bond lengths are 2.44 Å. There are two shorter (2.45 Å) and two longer (2.65 Å) Co(2)-Co(2) bond lengths. In the fourteenth Co site, Co(4) is bonded to two equivalent Nb(2), one V(1), one V(3), two equivalent Co(2), two equivalent Co(5), and four equivalent Co(4) atoms to form distorted CoNb2V2Co8 cuboctahedra that share corners with two equivalent V(2)Co12 cuboctahedra; corners with three equivalent Co(1)Nb3VCo8 cuboctahedra; corners with four equivalent Co(6)NbV3Co8 cuboctahedra; corners with six equivalent Co(4)Nb2V2Co8 cuboctahedra;  an edgeedge with one Nb(3)Co12 cuboctahedra; edges with two equivalent Nb(2)Co12 cuboctahedra; edges with two equivalent V(1)Co12 cuboctahedra; edges with two equivalent V(3)Co12 cuboctahedra; edges with two Co(1,1)Nb3VCo8 cuboctahedra; edges with four equivalent Co(4)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(5)Nb2V2Co8 cuboctahedra; edges with four equivalent Co(2)NbV3Co8 cuboctahedra;  a faceface with one V(1)Co12 cuboctahedra;  a faceface with one V(3)Co12 cuboctahedra;  a faceface with one Co(6)NbV3Co8 cuboctahedra; faces with two equivalent Nb(2)Co12 cuboctahedra; faces with four equivalent Co(4)Nb2V2Co8 cuboctahedra; faces with five equivalent Co(5)Nb2V2Co8 cuboctahedra; and faces with five Co(2,2)NbV3Co8 cuboctahedra. Both Co(4)-Nb(2) bond lengths are 2.55 Å. The Co(4)-V(1) bond length is 2.47 Å. The Co(4)-V(3) bond length is 2.55 Å. Both Co(4)-Co(2) bond lengths are 2.54 Å. Both Co(4)-Co(5) bond lengths are 2.50 Å. There are two shorter (2.48 Å) and two longer (2.62 Å) Co(4)-Co(4) bond lengths.