AgCrTiS4 crystallizes in the monoclinic Cm space group. Ti(1) is bonded to one S(1), one S(4), two equivalent S(2), and two equivalent S(3) atoms to form TiS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Ti(1)S6 octahedra, edges with four equivalent Cr(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. Cr(1) is bonded to one S(2), one S(3), two equivalent S(1), and two equivalent S(4) atoms to form CrS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with four equivalent Ti(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-49°. Ag(1) is bonded to one S(1), one S(2), two equivalent S(3), and two equivalent S(4) atoms to form distorted AgS6 octahedra that share corners with six equivalent Ti(1)S6 octahedra, corners with six equivalent Cr(1)S6 octahedra, edges with two equivalent Ag(1)S6 octahedra,  a faceface with one Ti(1)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-52°. There are four inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to one Ti(1), two equivalent Cr(1), and one Ag(1) atom. In the second S site, S(2) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ti(1), one Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to two equivalent Ti(1), one Cr(1), and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded to one Ti(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted edge-sharing STiCr2Ag2 trigonal bipyramids.
AgCrTiS4 crystallizes in the monoclinic Cm space group. Ti(1) is bonded to one S(1), one S(4), two equivalent S(2), and two equivalent S(3) atoms to form TiS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Ti(1)S6 octahedra, edges with four equivalent Cr(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. The Ti(1)-S(1) bond length is 2.35 Å. The Ti(1)-S(4) bond length is 2.55 Å. Both Ti(1)-S(2) bond lengths are 2.41 Å. Both Ti(1)-S(3) bond lengths are 2.50 Å. Cr(1) is bonded to one S(2), one S(3), two equivalent S(1), and two equivalent S(4) atoms to form CrS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with four equivalent Ti(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-49°. The Cr(1)-S(2) bond length is 2.42 Å. The Cr(1)-S(3) bond length is 2.41 Å. Both Cr(1)-S(1) bond lengths are 2.42 Å. Both Cr(1)-S(4) bond lengths are 2.41 Å. Ag(1) is bonded to one S(1), one S(2), two equivalent S(3), and two equivalent S(4) atoms to form distorted AgS6 octahedra that share corners with six equivalent Ti(1)S6 octahedra, corners with six equivalent Cr(1)S6 octahedra, edges with two equivalent Ag(1)S6 octahedra,  a faceface with one Ti(1)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-52°. The Ag(1)-S(1) bond length is 2.69 Å. The Ag(1)-S(2) bond length is 2.72 Å. Both Ag(1)-S(3) bond lengths are 2.77 Å. Both Ag(1)-S(4) bond lengths are 2.75 Å. There are four inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to one Ti(1), two equivalent Cr(1), and one Ag(1) atom. In the second S site, S(2) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ti(1), one Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to two equivalent Ti(1), one Cr(1), and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded to one Ti(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted edge-sharing STiCr2Ag2 trigonal bipyramids.