Ag4In is alpha La-derived structured and crystallizes in the trigonal R-3m space group. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Ag(2), six equivalent Ag(1), and three equivalent In(1) atoms to form AgIn3Ag9 cuboctahedra that share corners with three equivalent Ag(2)Ag12 cuboctahedra; corners with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with six equivalent In(1)In6Ag6 cuboctahedra; edges with nine Ag(2,2)Ag12 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; faces with six equivalent Ag(2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with six equivalent In(1)In6Ag6 cuboctahedra. In the second Ag site, Ag(2) is bonded to three equivalent Ag(1) and nine Ag(2,2) atoms to form AgAg12 cuboctahedra that share corners with three equivalent Ag(1)In3Ag9 cuboctahedra; corners with three equivalent In(1)In6Ag6 cuboctahedra; corners with six equivalent Ag(2)Ag12 cuboctahedra; edges with three equivalent In(1)In6Ag6 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with twelve Ag(2,2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with twelve Ag(2,2)Ag12 cuboctahedra. In the third Ag site, Ag(2) is bonded to three equivalent Ag(1) and nine Ag(2,2) atoms to form AgAg12 cuboctahedra that share corners with three equivalent Ag(1)In3Ag9 cuboctahedra; corners with three equivalent In(1)In6Ag6 cuboctahedra; corners with six equivalent Ag(2)Ag12 cuboctahedra; edges with three equivalent In(1)In6Ag6 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with twelve Ag(2,2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with twelve Ag(2,2)Ag12 cuboctahedra. In the fourth Ag site, Ag(2) is bonded to three equivalent Ag(1) and nine Ag(2,2) atoms to form AgAg12 cuboctahedra that share corners with three equivalent Ag(1)In3Ag9 cuboctahedra; corners with three equivalent In(1)In6Ag6 cuboctahedra; corners with six equivalent Ag(2)Ag12 cuboctahedra; edges with three equivalent In(1)In6Ag6 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with twelve Ag(2,2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with twelve Ag(2,2)Ag12 cuboctahedra. In(1) is bonded to six equivalent Ag(1) and six equivalent In(1) atoms to form InIn6Ag6 cuboctahedra that share corners with six Ag(2,2)Ag12 cuboctahedra; corners with six equivalent In(1)In6Ag6 cuboctahedra; edges with six Ag(2,2)Ag12 cuboctahedra; edges with six equivalent In(1)In6Ag6 cuboctahedra; edges with twelve equivalent Ag(1)In3Ag9 cuboctahedra; faces with six equivalent In(1)In6Ag6 cuboctahedra; and faces with twelve equivalent Ag(1)In3Ag9 cuboctahedra.
Ag4In is alpha La-derived structured and crystallizes in the trigonal R-3m space group. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Ag(2), six equivalent Ag(1), and three equivalent In(1) atoms to form AgIn3Ag9 cuboctahedra that share corners with three equivalent Ag(2)Ag12 cuboctahedra; corners with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with six equivalent In(1)In6Ag6 cuboctahedra; edges with nine Ag(2,2)Ag12 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; faces with six equivalent Ag(2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with six equivalent In(1)In6Ag6 cuboctahedra. All Ag(1)-Ag(2) bond lengths are 2.91 Å. All Ag(1)-Ag(1) bond lengths are 3.05 Å. All Ag(1)-In(1) bond lengths are 3.05 Å. In the second Ag site, Ag(2) is bonded to three equivalent Ag(1) and nine Ag(2,2) atoms to form AgAg12 cuboctahedra that share corners with three equivalent Ag(1)In3Ag9 cuboctahedra; corners with three equivalent In(1)In6Ag6 cuboctahedra; corners with six equivalent Ag(2)Ag12 cuboctahedra; edges with three equivalent In(1)In6Ag6 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with twelve Ag(2,2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with twelve Ag(2,2)Ag12 cuboctahedra. There are three shorter (2.94 Å) and six longer (3.05 Å) Ag(2)-Ag(2,2) bond lengths. In the third Ag site, Ag(2) is bonded to three equivalent Ag(1) and nine Ag(2,2) atoms to form AgAg12 cuboctahedra that share corners with three equivalent Ag(1)In3Ag9 cuboctahedra; corners with three equivalent In(1)In6Ag6 cuboctahedra; corners with six equivalent Ag(2)Ag12 cuboctahedra; edges with three equivalent In(1)In6Ag6 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with twelve Ag(2,2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with twelve Ag(2,2)Ag12 cuboctahedra. All Ag(2)-Ag(1) bond lengths are 2.91 Å. All Ag(2)-Ag(2) bond lengths are 3.05 Å. In the fourth Ag site, Ag(2) is bonded to three equivalent Ag(1) and nine Ag(2,2) atoms to form AgAg12 cuboctahedra that share corners with three equivalent Ag(1)In3Ag9 cuboctahedra; corners with three equivalent In(1)In6Ag6 cuboctahedra; corners with six equivalent Ag(2)Ag12 cuboctahedra; edges with three equivalent In(1)In6Ag6 cuboctahedra; edges with nine equivalent Ag(1)In3Ag9 cuboctahedra; edges with twelve Ag(2,2)Ag12 cuboctahedra; faces with six equivalent Ag(1)In3Ag9 cuboctahedra; and faces with twelve Ag(2,2)Ag12 cuboctahedra. All Ag(2)-Ag(1) bond lengths are 2.91 Å. There are three shorter (2.94 Å) and six longer (3.05 Å) Ag(2)-Ag(2,2) bond lengths. In(1) is bonded to six equivalent Ag(1) and six equivalent In(1) atoms to form InIn6Ag6 cuboctahedra that share corners with six Ag(2,2)Ag12 cuboctahedra; corners with six equivalent In(1)In6Ag6 cuboctahedra; edges with six Ag(2,2)Ag12 cuboctahedra; edges with six equivalent In(1)In6Ag6 cuboctahedra; edges with twelve equivalent Ag(1)In3Ag9 cuboctahedra; faces with six equivalent In(1)In6Ag6 cuboctahedra; and faces with twelve equivalent Ag(1)In3Ag9 cuboctahedra. All In(1)-In(1) bond lengths are 3.05 Å.