ZrTi2Ni9 is beta Cu3Ti-derived structured and crystallizes in the trigonal R-3m space group. Zr(1) is bonded to six Ni(1,1,1) and six Ni(2,2) atoms to form ZrNi12 cuboctahedra that share corners with six equivalent Zr(1)Ni12 cuboctahedra; corners with twelve Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; edges with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; edges with twelve Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; faces with six Ni(2,2)ZrTi3Ni8 cuboctahedra; and faces with eight equivalent Ti(1)Ni12 cuboctahedra. Ti(1) is bonded to three Ni(1,1,1) and nine Ni(2,2,2) atoms to form TiNi12 cuboctahedra that share corners with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine equivalent Ti(1)Ni12 cuboctahedra; edges with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; edges with fifteen Ni(2,2,2)ZrTi3Ni8 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with three Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; faces with four equivalent Zr(1)Ni12 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. There are twelve inequivalent Ni sites. In the first Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. In the second Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2)ZrTi3Ni8 cuboctahedra. In the third Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2)ZrTi3Ni8 cuboctahedra. In the fourth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra. In the fifth Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2)ZrTi3Ni8 cuboctahedra. In the sixth Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. In the seventh Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. In the eighth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2,2)ZrTi3Ni8 cuboctahedra. In the ninth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2,2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2,2)ZrTi3Ni8 cuboctahedra. In the tenth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2,2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2,2)ZrTi3Ni8 cuboctahedra. In the eleventh Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. In the twelfth Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2)ZrTi3Ni8 cuboctahedra.
ZrTi2Ni9 is beta Cu3Ti-derived structured and crystallizes in the trigonal R-3m space group. Zr(1) is bonded to six Ni(1,1,1) and six Ni(2,2) atoms to form ZrNi12 cuboctahedra that share corners with six equivalent Zr(1)Ni12 cuboctahedra; corners with twelve Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; edges with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; edges with twelve Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; faces with six Ni(2,2)ZrTi3Ni8 cuboctahedra; and faces with eight equivalent Ti(1)Ni12 cuboctahedra. All Zr(1)-Ni(1,1,1) bond lengths are 2.58 Å. All Zr(1)-Ni(2,2) bond lengths are 2.64 Å. Ti(1) is bonded to three Ni(1,1,1) and nine Ni(2,2,2) atoms to form TiNi12 cuboctahedra that share corners with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine equivalent Ti(1)Ni12 cuboctahedra; edges with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; edges with fifteen Ni(2,2,2)ZrTi3Ni8 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with three Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; faces with four equivalent Zr(1)Ni12 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. All Ti(1)-Ni(1,1,1) bond lengths are 2.63 Å. There are three shorter (2.56 Å) and six longer (2.58 Å) Ti(1)-Ni(2,2,2) bond lengths. There are twelve inequivalent Ni sites. In the first Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. The Ni(2)-Zr(1) bond length is 2.64 Å. There is one shorter (2.56 Å) and two longer (2.58 Å) Ni(2)-Ti(1) bond lengths. Both Ni(2)-Ni(1,1) bond lengths are 2.58 Å. There are a spread of Ni(2)-Ni(2,2,2) bond distances ranging from 2.46-2.70 Å. In the second Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2)ZrTi3Ni8 cuboctahedra. All Ni(1)-Ni(1,1) bond lengths are 2.58 Å. All Ni(1)-Ni(2,2) bond lengths are 2.58 Å. In the third Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2)ZrTi3Ni8 cuboctahedra. Both Ni(1)-Ni(1) bond lengths are 2.58 Å. All Ni(1)-Ni(2,2) bond lengths are 2.58 Å. In the fourth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra. All Ni(1)-Ni(2,2) bond lengths are 2.58 Å. In the fifth Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2)ZrTi3Ni8 cuboctahedra. The Ni(2)-Zr(1) bond length is 2.64 Å. Both Ni(2)-Ni(1,1) bond lengths are 2.58 Å. There are a spread of Ni(2)-Ni(2,2) bond distances ranging from 2.46-2.70 Å. In the sixth Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. Both Ni(2)-Ni(1,1) bond lengths are 2.58 Å. There are a spread of Ni(2)-Ni(2) bond distances ranging from 2.46-2.70 Å. In the seventh Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. Both Ni(2)-Ni(1,1) bond lengths are 2.58 Å. The Ni(2)-Ni(2) bond length is 2.51 Å. In the eighth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2,2)ZrTi3Ni8 cuboctahedra. Both Ni(1)-Zr(1) bond lengths are 2.58 Å. Both Ni(1)-Ti(1) bond lengths are 2.63 Å. All Ni(1)-Ni(1,1) bond lengths are 2.58 Å. The Ni(1)-Ni(2) bond length is 2.58 Å. In the ninth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2,2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2,2)ZrTi3Ni8 cuboctahedra. Both Ni(1)-Zr(1) bond lengths are 2.58 Å. Both Ni(1)-Ti(1) bond lengths are 2.63 Å. Both Ni(1)-Ni(1) bond lengths are 2.58 Å. Both Ni(1)-Ni(2,2) bond lengths are 2.58 Å. In the tenth Ni site, Ni(1) is bonded to two equivalent Zr(1); two equivalent Ti(1); four Ni(1,1); and four Ni(2,2,2,2) atoms to form distorted NiZr2Ti2Ni8 cuboctahedra that share corners with four equivalent Ti(1)Ni12 cuboctahedra; corners with six equivalent Ni(1)Zr2Ti2Ni8 cuboctahedra; corners with eight Ni(2,2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four equivalent Ti(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with eight Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra; faces with two equivalent Zr(1)Ni12 cuboctahedra; faces with two equivalent Ti(1)Ni12 cuboctahedra; faces with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; and faces with twelve Ni(2,2,2,2,2)ZrTi3Ni8 cuboctahedra. Both Ni(1)-Zr(1) bond lengths are 2.58 Å. Both Ni(1)-Ti(1) bond lengths are 2.63 Å. Both Ni(1)-Ni(2,2) bond lengths are 2.58 Å. In the eleventh Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2,2)ZrTi3Ni8 cuboctahedra. The Ni(2)-Zr(1) bond length is 2.64 Å. There is one shorter (2.56 Å) and two longer (2.58 Å) Ni(2)-Ti(1) bond lengths. The Ni(2)-Ni(1) bond length is 2.58 Å. There are a spread of Ni(2)-Ni(2,2) bond distances ranging from 2.46-2.70 Å. In the twelfth Ni site, Ni(2) is bonded to one Zr(1); three equivalent Ti(1); two Ni(1,1); and six Ni(2,2) atoms to form distorted NiZrTi3Ni8 cuboctahedra that share corners with two equivalent Zr(1)Ni12 cuboctahedra; corners with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; corners with nine Ni(2,2)ZrTi3Ni8 cuboctahedra; edges with two equivalent Zr(1)Ni12 cuboctahedra; edges with four Ni(1,1)Zr2Ti2Ni8 cuboctahedra; edges with five equivalent Ti(1)Ni12 cuboctahedra; edges with ten Ni(2,2,2,2)ZrTi3Ni8 cuboctahedra;  a faceface with one Zr(1)Ni12 cuboctahedra; faces with three equivalent Ti(1)Ni12 cuboctahedra; faces with six Ni(1,1,1,1)Zr2Ti2Ni8 cuboctahedra; and faces with nine Ni(2,2)ZrTi3Ni8 cuboctahedra. The Ni(2)-Zr(1) bond length is 2.64 Å. There is one shorter (2.56 Å) and two longer (2.58 Å) Ni(2)-Ti(1) bond lengths. There are a spread of Ni(2)-Ni(2,2) bond distances ranging from 2.46-2.70 Å.