ZrCrCo is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the second Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the third Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the fourth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the fifth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the sixth Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two Zr(2,2); four Zr(1,1); two equivalent Co(1); and four equivalent Co(2) atoms to form distorted CrZr6Co6 cuboctahedra that share corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Cr(1)Zr6Co6 cuboctahedra, edges with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra. In the second Cr site, Cr(2) is bonded to two Zr(1,1); four Zr(2,2,2); two equivalent Cr(2); two equivalent Cr(3); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with two equivalent Cr(1)Zr6Co6 cuboctahedra, faces with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. In the third Cr site, Cr(3) is bonded to two Zr(1,1); four Zr(2,2); four equivalent Cr(2); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three Zr(1,1); three Zr(2,2); one Cr(1); one Cr(3); two equivalent Cr(2); and two equivalent Co(2) atoms to form distorted CoZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with three equivalent Cr(1)Zr6Co6 cuboctahedra, faces with three equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two Zr(2,2); four Zr(1,1,1); two equivalent Cr(1); two equivalent Co(1); and two equivalent Co(2) atoms to form distorted CoZr6Cr2Co4 cuboctahedra that share corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra.
ZrCrCo is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. The Zr(1)-Zr(1) bond length is 3.05 Å. There is one shorter (2.99 Å) and two longer (3.05 Å) Zr(1)-Zr(2,2) bond lengths. The Zr(1)-Cr(3) bond length is 2.95 Å. Both Zr(1)-Cr(1) bond lengths are 2.93 Å. Both Zr(1)-Cr(2) bond lengths are 2.99 Å. There is one shorter (2.86 Å) and two longer (2.89 Å) Zr(1)-Co(1) bond lengths. There are two shorter (2.81 Å) and two longer (2.94 Å) Zr(1)-Co(2) bond lengths. In the second Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. The Zr(2)-Zr(2) bond length is 3.15 Å. Both Zr(2)-Zr(1) bond lengths are 3.05 Å. The Zr(2)-Cr(1) bond length is 2.98 Å. Both Zr(2)-Cr(3) bond lengths are 2.95 Å. All Zr(2)-Cr(2) bond lengths are 2.90 Å. Both Zr(2)-Co(2) bond lengths are 2.92 Å. There is one shorter (2.82 Å) and two longer (2.93 Å) Zr(2)-Co(1) bond lengths. In the third Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. There is one shorter (2.99 Å) and two longer (3.05 Å) Zr(2)-Zr(1,1) bond lengths. The Zr(2)-Cr(1) bond length is 2.98 Å. Both Zr(2)-Cr(3) bond lengths are 2.95 Å. All Zr(2)-Cr(2) bond lengths are 2.90 Å. Both Zr(2)-Co(2) bond lengths are 2.92 Å. There is one shorter (2.82 Å) and two longer (2.93 Å) Zr(2)-Co(1) bond lengths. In the fourth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. Both Zr(1)-Zr(2) bond lengths are 3.05 Å. The Zr(1)-Cr(3) bond length is 2.95 Å. Both Zr(1)-Cr(1) bond lengths are 2.93 Å. Both Zr(1)-Cr(2) bond lengths are 2.99 Å. There is one shorter (2.86 Å) and two longer (2.89 Å) Zr(1)-Co(1) bond lengths. There are two shorter (2.81 Å) and two longer (2.94 Å) Zr(1)-Co(2) bond lengths. In the fifth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. The Zr(1)-Zr(1) bond length is 3.05 Å. The Zr(1)-Zr(2) bond length is 2.99 Å. The Zr(1)-Cr(3) bond length is 2.95 Å. Both Zr(1)-Cr(1) bond lengths are 2.93 Å. Both Zr(1)-Cr(2) bond lengths are 2.99 Å. There is one shorter (2.86 Å) and two longer (2.89 Å) Zr(1)-Co(1) bond lengths. There are two shorter (2.81 Å) and two longer (2.94 Å) Zr(1)-Co(2) bond lengths. In the sixth Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. The Zr(2)-Zr(2) bond length is 3.15 Å. The Zr(2)-Cr(1) bond length is 2.98 Å. Both Zr(2)-Cr(3) bond lengths are 2.95 Å. All Zr(2)-Cr(2) bond lengths are 2.90 Å. Both Zr(2)-Co(2) bond lengths are 2.92 Å. There is one shorter (2.82 Å) and two longer (2.93 Å) Zr(2)-Co(1) bond lengths. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two Zr(2,2); four Zr(1,1); two equivalent Co(1); and four equivalent Co(2) atoms to form distorted CrZr6Co6 cuboctahedra that share corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Cr(1)Zr6Co6 cuboctahedra, edges with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra. Both Cr(1)-Co(1) bond lengths are 2.39 Å. There are two shorter (2.42 Å) and two longer (2.45 Å) Cr(1)-Co(2) bond lengths. In the second Cr site, Cr(2) is bonded to two Zr(1,1); four Zr(2,2,2); two equivalent Cr(2); two equivalent Cr(3); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with two equivalent Cr(1)Zr6Co6 cuboctahedra, faces with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. There is one shorter (2.48 Å) and one longer (2.52 Å) Cr(2)-Cr(2) bond length. There is one shorter (2.39 Å) and one longer (2.49 Å) Cr(2)-Cr(3) bond length. Both Cr(2)-Co(1) bond lengths are 2.57 Å. In the third Cr site, Cr(3) is bonded to two Zr(1,1); four Zr(2,2); four equivalent Cr(2); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra. Both Cr(3)-Co(1) bond lengths are 2.59 Å. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three Zr(1,1); three Zr(2,2); one Cr(1); one Cr(3); two equivalent Cr(2); and two equivalent Co(2) atoms to form distorted CoZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with three equivalent Cr(1)Zr6Co6 cuboctahedra, faces with three equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra. Both Co(1)-Co(2) bond lengths are 2.52 Å. In the second Co site, Co(2) is bonded to two Zr(2,2); four Zr(1,1,1); two equivalent Cr(1); two equivalent Co(1); and two equivalent Co(2) atoms to form distorted CoZr6Cr2Co4 cuboctahedra that share corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. There is one shorter (2.47 Å) and one longer (2.53 Å) Co(2)-Co(2) bond length.