BaTbAgTe3 crystallizes in the orthorhombic Cmcm space group. Ba(1) is bonded in a 10-coordinate geometry to two equivalent Ag(1), two equivalent Te(2), and six equivalent Te(1) atoms. Tb(1) is bonded to two equivalent Te(2) and four equivalent Te(1) atoms to form distorted TbTe6 octahedra that share corners with two equivalent Tb(1)Te6 octahedra, edges with two equivalent Tb(1)Te6 octahedra, and edges with four equivalent Ag(1)Ba2Te4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. Ag(1) is bonded to two equivalent Ba(1), two equivalent Te(1), and two equivalent Te(2) atoms to form distorted AgBa2Te4 tetrahedra that share corners with two equivalent Te(2)Ba2Tb2Ag2 octahedra,  an edgeedge with one Te(2)Ba2Tb2Ag2 octahedra, edges with four equivalent Tb(1)Te6 octahedra, and edges with two equivalent Ag(1)Ba2Te4 tetrahedra. The corner-sharing octahedral tilt angles are 6°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded in a 6-coordinate geometry to three equivalent Ba(1), two equivalent Tb(1), and one Ag(1) atom. In the second Te site, Te(2) is bonded to two equivalent Ba(1), two equivalent Tb(1), and two equivalent Ag(1) atoms to form distorted TeBa2Tb2Ag2 octahedra that share corners with two equivalent Te(2)Ba2Tb2Ag2 octahedra, corners with two equivalent Ag(1)Ba2Te4 tetrahedra, edges with two equivalent Te(2)Ba2Tb2Ag2 octahedra, and  an edgeedge with one Ag(1)Ba2Te4 tetrahedra. The corner-sharing octahedra are not tilted.
BaTbAgTe3 crystallizes in the orthorhombic Cmcm space group. Ba(1) is bonded in a 10-coordinate geometry to two equivalent Ag(1), two equivalent Te(2), and six equivalent Te(1) atoms. Both Ba(1)-Ag(1) bond lengths are 3.96 Å. Both Ba(1)-Te(2) bond lengths are 3.50 Å. There are four shorter (3.61 Å) and two longer (3.91 Å) Ba(1)-Te(1) bond lengths. Tb(1) is bonded to two equivalent Te(2) and four equivalent Te(1) atoms to form distorted TbTe6 octahedra that share corners with two equivalent Tb(1)Te6 octahedra, edges with two equivalent Tb(1)Te6 octahedra, and edges with four equivalent Ag(1)Ba2Te4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. Both Tb(1)-Te(2) bond lengths are 3.13 Å. All Tb(1)-Te(1) bond lengths are 3.16 Å. Ag(1) is bonded to two equivalent Ba(1), two equivalent Te(1), and two equivalent Te(2) atoms to form distorted AgBa2Te4 tetrahedra that share corners with two equivalent Te(2)Ba2Tb2Ag2 octahedra,  an edgeedge with one Te(2)Ba2Tb2Ag2 octahedra, edges with four equivalent Tb(1)Te6 octahedra, and edges with two equivalent Ag(1)Ba2Te4 tetrahedra. The corner-sharing octahedral tilt angles are 6°. Both Ag(1)-Te(1) bond lengths are 2.81 Å. Both Ag(1)-Te(2) bond lengths are 2.83 Å. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded in a 6-coordinate geometry to three equivalent Ba(1), two equivalent Tb(1), and one Ag(1) atom. In the second Te site, Te(2) is bonded to two equivalent Ba(1), two equivalent Tb(1), and two equivalent Ag(1) atoms to form distorted TeBa2Tb2Ag2 octahedra that share corners with two equivalent Te(2)Ba2Tb2Ag2 octahedra, corners with two equivalent Ag(1)Ba2Te4 tetrahedra, edges with two equivalent Te(2)Ba2Tb2Ag2 octahedra, and  an edgeedge with one Ag(1)Ba2Te4 tetrahedra. The corner-sharing octahedra are not tilted.