LuAgTe2 crystallizes in the trigonal P3m1 space group. Lu(1) is bonded to three equivalent Te(1) and three equivalent Te(2) atoms to form LuTe6 octahedra that share corners with six equivalent Ag(1)Te4 tetrahedra, edges with six equivalent Lu(1)Te6 octahedra, and edges with three equivalent Ag(1)Te4 tetrahedra. Ag(1) is bonded to one Te(2) and three equivalent Te(1) atoms to form AgTe4 tetrahedra that share corners with six equivalent Lu(1)Te6 octahedra, corners with six equivalent Ag(1)Te4 tetrahedra, and edges with three equivalent Lu(1)Te6 octahedra. The corner-sharing octahedral tilt angles range from 8-58°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to three equivalent Lu(1) and three equivalent Ag(1) atoms to form TeLu3Ag3 octahedra that share corners with six equivalent Te(2)Lu3Ag trigonal pyramids, edges with six equivalent Te(1)Lu3Ag3 octahedra, and edges with three equivalent Te(2)Lu3Ag trigonal pyramids. In the second Te site, Te(2) is bonded to three equivalent Lu(1) and one Ag(1) atom to form distorted TeLu3Ag trigonal pyramids that share corners with six equivalent Te(1)Lu3Ag3 octahedra, corners with six equivalent Te(2)Lu3Ag trigonal pyramids, and edges with three equivalent Te(1)Lu3Ag3 octahedra. The corner-sharing octahedral tilt angles range from 3-63°.
LuAgTe2 crystallizes in the trigonal P3m1 space group. Lu(1) is bonded to three equivalent Te(1) and three equivalent Te(2) atoms to form LuTe6 octahedra that share corners with six equivalent Ag(1)Te4 tetrahedra, edges with six equivalent Lu(1)Te6 octahedra, and edges with three equivalent Ag(1)Te4 tetrahedra. All Lu(1)-Te(1) bond lengths are 3.09 Å. All Lu(1)-Te(2) bond lengths are 2.99 Å. Ag(1) is bonded to one Te(2) and three equivalent Te(1) atoms to form AgTe4 tetrahedra that share corners with six equivalent Lu(1)Te6 octahedra, corners with six equivalent Ag(1)Te4 tetrahedra, and edges with three equivalent Lu(1)Te6 octahedra. The corner-sharing octahedral tilt angles range from 8-58°. The Ag(1)-Te(2) bond length is 2.73 Å. All Ag(1)-Te(1) bond lengths are 2.85 Å. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to three equivalent Lu(1) and three equivalent Ag(1) atoms to form TeLu3Ag3 octahedra that share corners with six equivalent Te(2)Lu3Ag trigonal pyramids, edges with six equivalent Te(1)Lu3Ag3 octahedra, and edges with three equivalent Te(2)Lu3Ag trigonal pyramids. In the second Te site, Te(2) is bonded to three equivalent Lu(1) and one Ag(1) atom to form distorted TeLu3Ag trigonal pyramids that share corners with six equivalent Te(1)Lu3Ag3 octahedra, corners with six equivalent Te(2)Lu3Ag trigonal pyramids, and edges with three equivalent Te(1)Lu3Ag3 octahedra. The corner-sharing octahedral tilt angles range from 3-63°.