TiCoNi2 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent Co(1), four equivalent Co(2), two equivalent Ni(3), and four equivalent Ni(2) atoms to form TiCo6Ni6 cuboctahedra that share corners with six equivalent Ti(2)Co2Ni10 cuboctahedra, corners with six equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ti(3)Co4Ni8 cuboctahedra. In the second Ti site, Ti(2) is bonded to two equivalent Co(3), two equivalent Ni(3), four equivalent Ni(1), and four equivalent Ni(2) atoms to form TiCo2Ni10 cuboctahedra that share corners with six equivalent Ti(2)Co2Ni10 cuboctahedra, corners with six equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ti(3)Co4Ni8 cuboctahedra. In the third Ti site, Ti(3) is bonded to one Co(1), one Co(3), two equivalent Co(2), two equivalent Ni(1), two equivalent Ni(3), and four equivalent Ni(2) atoms to form TiCo4Ni8 cuboctahedra that share corners with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, corners with six equivalent Ti(3)Co4Ni8 cuboctahedra, corners with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra,  a faceface with one Co(1)Ti4Co4Ni4 cuboctahedra,  a faceface with one Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with three equivalent Ti(2)Co2Ni10 cuboctahedra, faces with three equivalent Ti(1)Co6Ni6 cuboctahedra, and faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent Ti(1), two equivalent Ti(3), four equivalent Co(2), and four equivalent Ni(2) atoms to form distorted CoTi4Co4Ni4 cuboctahedra that share corners with six equivalent Co(1)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Ti(1)Co6Ni6 cuboctahedra, faces with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ni(3)Ti4Co2Ni6 cuboctahedra. In the second Co site, Co(2) is bonded to two equivalent Ti(1), two equivalent Ti(3), two equivalent Co(1), two equivalent Co(2), two equivalent Ni(2), and two equivalent Ni(3) atoms to form distorted CoTi4Co4Ni4 cuboctahedra that share corners with six equivalent Co(2)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Ti(1)Co6Ni6 cuboctahedra, faces with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. In the third Co site, Co(3) is bonded to two equivalent Ti(2), two equivalent Ti(3), four equivalent Ni(1), and four equivalent Ni(2) atoms to form CoTi4Ni8 cuboctahedra that share corners with six equivalent Co(1)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(2)Co2Ni10 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ni(3)Ti4Co2Ni6 cuboctahedra. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to two equivalent Ti(2), two equivalent Ti(3), two equivalent Co(3), two equivalent Ni(1), two equivalent Ni(2), and two equivalent Ni(3) atoms to form distorted NiTi4Co2Ni6 cuboctahedra that share corners with six equivalent Co(2)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(2)Co2Ni10 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. In the second Ni site, Ni(2) is bonded to one Ti(1), one Ti(2), two equivalent Ti(3), one Co(1), one Co(2), one Co(3), one Ni(1), two equivalent Ni(2), and two equivalent Ni(3) atoms to form distorted NiTi4Co3Ni5 cuboctahedra that share corners with four equivalent Ti(3)Co4Ni8 cuboctahedra, corners with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, corners with ten equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(3)Co4Ni8 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ni(2)Ti4Co3Ni5 cuboctahedra,  a faceface with one Ti(2)Co2Ni10 cuboctahedra,  a faceface with one Ti(1)Co6Ni6 cuboctahedra,  a faceface with one Co(1)Ti4Co4Ni4 cuboctahedra,  a faceface with one Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, and faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. In the third Ni site, Ni(3) is bonded to one Ti(1), one Ti(2), two equivalent Ti(3), two equivalent Co(2), two equivalent Ni(1), and four equivalent Ni(2) atoms to form distorted NiTi4Co2Ni6 cuboctahedra that share corners with four equivalent Ti(3)Co4Ni8 cuboctahedra, corners with six equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, corners with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(3)Co4Ni8 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra,  a faceface with one Ti(2)Co2Ni10 cuboctahedra,  a faceface with one Ti(1)Co6Ni6 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with three equivalent Co(1)Ti4Co4Ni4 cuboctahedra, faces with three equivalent Co(3)Ti4Ni8 cuboctahedra, and faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra.
TiCoNi2 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent Co(1), four equivalent Co(2), two equivalent Ni(3), and four equivalent Ni(2) atoms to form TiCo6Ni6 cuboctahedra that share corners with six equivalent Ti(2)Co2Ni10 cuboctahedra, corners with six equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ti(3)Co4Ni8 cuboctahedra. Both Ti(1)-Co(1) bond lengths are 2.54 Å. There are two shorter (2.54 Å) and two longer (2.55 Å) Ti(1)-Co(2) bond lengths. Both Ti(1)-Ni(3) bond lengths are 2.54 Å. All Ti(1)-Ni(2) bond lengths are 2.54 Å. In the second Ti site, Ti(2) is bonded to two equivalent Co(3), two equivalent Ni(3), four equivalent Ni(1), and four equivalent Ni(2) atoms to form TiCo2Ni10 cuboctahedra that share corners with six equivalent Ti(2)Co2Ni10 cuboctahedra, corners with six equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ti(3)Co4Ni8 cuboctahedra. Both Ti(2)-Co(3) bond lengths are 2.54 Å. Both Ti(2)-Ni(3) bond lengths are 2.54 Å. There are two shorter (2.54 Å) and two longer (2.55 Å) Ti(2)-Ni(1) bond lengths. All Ti(2)-Ni(2) bond lengths are 2.54 Å. In the third Ti site, Ti(3) is bonded to one Co(1), one Co(3), two equivalent Co(2), two equivalent Ni(1), two equivalent Ni(3), and four equivalent Ni(2) atoms to form TiCo4Ni8 cuboctahedra that share corners with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, corners with six equivalent Ti(3)Co4Ni8 cuboctahedra, corners with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra,  a faceface with one Co(1)Ti4Co4Ni4 cuboctahedra,  a faceface with one Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with three equivalent Ti(2)Co2Ni10 cuboctahedra, faces with three equivalent Ti(1)Co6Ni6 cuboctahedra, and faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. The Ti(3)-Co(1) bond length is 2.55 Å. The Ti(3)-Co(3) bond length is 2.59 Å. Both Ti(3)-Co(2) bond lengths are 2.55 Å. Both Ti(3)-Ni(1) bond lengths are 2.59 Å. Both Ti(3)-Ni(3) bond lengths are 2.54 Å. There are two shorter (2.54 Å) and two longer (2.55 Å) Ti(3)-Ni(2) bond lengths. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent Ti(1), two equivalent Ti(3), four equivalent Co(2), and four equivalent Ni(2) atoms to form distorted CoTi4Co4Ni4 cuboctahedra that share corners with six equivalent Co(1)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Ti(1)Co6Ni6 cuboctahedra, faces with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ni(3)Ti4Co2Ni6 cuboctahedra. There are two shorter (2.45 Å) and two longer (2.64 Å) Co(1)-Co(2) bond lengths. All Co(1)-Ni(2) bond lengths are 2.53 Å. In the second Co site, Co(2) is bonded to two equivalent Ti(1), two equivalent Ti(3), two equivalent Co(1), two equivalent Co(2), two equivalent Ni(2), and two equivalent Ni(3) atoms to form distorted CoTi4Co4Ni4 cuboctahedra that share corners with six equivalent Co(2)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Ti(1)Co6Ni6 cuboctahedra, faces with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. There is one shorter (2.44 Å) and one longer (2.63 Å) Co(2)-Co(2) bond length. Both Co(2)-Ni(2) bond lengths are 2.52 Å. Both Co(2)-Ni(3) bond lengths are 2.52 Å. In the third Co site, Co(3) is bonded to two equivalent Ti(2), two equivalent Ti(3), four equivalent Ni(1), and four equivalent Ni(2) atoms to form CoTi4Ni8 cuboctahedra that share corners with six equivalent Co(1)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(2)Co2Ni10 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, and faces with six equivalent Ni(3)Ti4Co2Ni6 cuboctahedra. There are two shorter (2.46 Å) and two longer (2.63 Å) Co(3)-Ni(1) bond lengths. All Co(3)-Ni(2) bond lengths are 2.52 Å. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to two equivalent Ti(2), two equivalent Ti(3), two equivalent Co(3), two equivalent Ni(1), two equivalent Ni(2), and two equivalent Ni(3) atoms to form distorted NiTi4Co2Ni6 cuboctahedra that share corners with six equivalent Co(2)Ti4Co4Ni4 cuboctahedra, corners with six equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ti(3)Co4Ni8 cuboctahedra, edges with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, faces with two equivalent Ti(2)Co2Ni10 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. There is one shorter (2.46 Å) and one longer (2.62 Å) Ni(1)-Ni(1) bond length. Both Ni(1)-Ni(2) bond lengths are 2.53 Å. Both Ni(1)-Ni(3) bond lengths are 2.53 Å. In the second Ni site, Ni(2) is bonded to one Ti(1), one Ti(2), two equivalent Ti(3), one Co(1), one Co(2), one Co(3), one Ni(1), two equivalent Ni(2), and two equivalent Ni(3) atoms to form distorted NiTi4Co3Ni5 cuboctahedra that share corners with four equivalent Ti(3)Co4Ni8 cuboctahedra, corners with four equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, corners with ten equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(3)Co4Ni8 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with two equivalent Co(1)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with two equivalent Co(3)Ti4Ni8 cuboctahedra, edges with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, edges with two equivalent Ni(2)Ti4Co3Ni5 cuboctahedra,  a faceface with one Ti(2)Co2Ni10 cuboctahedra,  a faceface with one Ti(1)Co6Ni6 cuboctahedra,  a faceface with one Co(1)Ti4Co4Ni4 cuboctahedra,  a faceface with one Co(3)Ti4Ni8 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, and faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra. There is one shorter (2.53 Å) and one longer (2.54 Å) Ni(2)-Ni(2) bond length. There is one shorter (2.54 Å) and one longer (2.55 Å) Ni(2)-Ni(3) bond length. In the third Ni site, Ni(3) is bonded to one Ti(1), one Ti(2), two equivalent Ti(3), two equivalent Co(2), two equivalent Ni(1), and four equivalent Ni(2) atoms to form distorted NiTi4Co2Ni6 cuboctahedra that share corners with four equivalent Ti(3)Co4Ni8 cuboctahedra, corners with six equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, corners with eight equivalent Ni(2)Ti4Co3Ni5 cuboctahedra, edges with two equivalent Ti(2)Co2Ni10 cuboctahedra, edges with two equivalent Ti(3)Co4Ni8 cuboctahedra, edges with two equivalent Ti(1)Co6Ni6 cuboctahedra, edges with four equivalent Co(2)Ti4Co4Ni4 cuboctahedra, edges with four equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, edges with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra,  a faceface with one Ti(2)Co2Ni10 cuboctahedra,  a faceface with one Ti(1)Co6Ni6 cuboctahedra, faces with two equivalent Ti(3)Co4Ni8 cuboctahedra, faces with two equivalent Co(2)Ti4Co4Ni4 cuboctahedra, faces with two equivalent Ni(1)Ti4Co2Ni6 cuboctahedra, faces with two equivalent Ni(3)Ti4Co2Ni6 cuboctahedra, faces with three equivalent Co(1)Ti4Co4Ni4 cuboctahedra, faces with three equivalent Co(3)Ti4Ni8 cuboctahedra, and faces with four equivalent Ni(2)Ti4Co3Ni5 cuboctahedra.