AgCrTiS4 crystallizes in the orthorhombic Pmc2_1 space group. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent S(6) and four equivalent S(1) atoms to form TiS6 octahedra that share corners with four equivalent Ag(2)S5 square pyramids,  a cornercorner with one Ti(2)S4 trigonal pyramid,  an edgeedge with one Ti(2)S4 trigonal pyramid, faces with two equivalent Ti(1)S6 octahedra, and  a faceface with one Ti(2)S4 trigonal pyramid. In the second Ti site, Ti(2) is bonded to one S(3), one S(6), and two equivalent S(1) atoms to form distorted TiS4 trigonal pyramids that share  a cornercorner with one Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids,  an edgeedge with one Ti(1)S6 octahedra, and  a faceface with one Ti(1)S6 octahedra. The corner-sharing octahedral tilt angles are 36°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent S(5) and four equivalent S(2) atoms to form CrS6 octahedra that share corners with two equivalent Ag(2)S5 square pyramids and faces with two equivalent Cr(1)S6 octahedra. In the second Cr site, Cr(2) is bonded in a distorted rectangular see-saw-like geometry to one S(4), one S(5), and two equivalent S(2) atoms. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 3-coordinate geometry to one S(6), two equivalent S(2), and two equivalent S(3) atoms. In the second Ag site, Ag(2) is bonded to one S(5), two equivalent S(1), and two equivalent S(4) atoms to form distorted AgS5 square pyramids that share corners with two equivalent Cr(1)S6 octahedra, corners with four equivalent Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids, and corners with two equivalent Ti(2)S4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 25-51°. There are six inequivalent S sites. In the first S site, S(1) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(2) atom. In the second S site, S(2) is bonded in a 4-coordinate geometry to one Cr(2), two equivalent Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 3-coordinate geometry to one Ti(2) and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded in a 3-coordinate geometry to one Cr(2) and two equivalent Ag(2) atoms. In the fifth S site, S(5) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), two equivalent Cr(1), and one Ag(2) atom. In the sixth S site, S(6) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(1) atom.
AgCrTiS4 crystallizes in the orthorhombic Pmc2_1 space group. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent S(6) and four equivalent S(1) atoms to form TiS6 octahedra that share corners with four equivalent Ag(2)S5 square pyramids,  a cornercorner with one Ti(2)S4 trigonal pyramid,  an edgeedge with one Ti(2)S4 trigonal pyramid, faces with two equivalent Ti(1)S6 octahedra, and  a faceface with one Ti(2)S4 trigonal pyramid. There is one shorter (2.38 Å) and one longer (2.56 Å) Ti(1)-S(6) bond length. There are two shorter (2.45 Å) and two longer (2.52 Å) Ti(1)-S(1) bond lengths. In the second Ti site, Ti(2) is bonded to one S(3), one S(6), and two equivalent S(1) atoms to form distorted TiS4 trigonal pyramids that share  a cornercorner with one Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids,  an edgeedge with one Ti(1)S6 octahedra, and  a faceface with one Ti(1)S6 octahedra. The corner-sharing octahedral tilt angles are 36°. The Ti(2)-S(3) bond length is 2.21 Å. The Ti(2)-S(6) bond length is 2.30 Å. Both Ti(2)-S(1) bond lengths are 2.33 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent S(5) and four equivalent S(2) atoms to form CrS6 octahedra that share corners with two equivalent Ag(2)S5 square pyramids and faces with two equivalent Cr(1)S6 octahedra. There is one shorter (2.38 Å) and one longer (2.56 Å) Cr(1)-S(5) bond length. There are two shorter (2.38 Å) and two longer (2.41 Å) Cr(1)-S(2) bond lengths. In the second Cr site, Cr(2) is bonded in a distorted rectangular see-saw-like geometry to one S(4), one S(5), and two equivalent S(2) atoms. The Cr(2)-S(4) bond length is 2.15 Å. The Cr(2)-S(5) bond length is 2.18 Å. Both Cr(2)-S(2) bond lengths are 2.22 Å. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 3-coordinate geometry to one S(6), two equivalent S(2), and two equivalent S(3) atoms. The Ag(1)-S(6) bond length is 2.49 Å. Both Ag(1)-S(2) bond lengths are 3.13 Å. There is one shorter (2.51 Å) and one longer (2.57 Å) Ag(1)-S(3) bond length. In the second Ag site, Ag(2) is bonded to one S(5), two equivalent S(1), and two equivalent S(4) atoms to form distorted AgS5 square pyramids that share corners with two equivalent Cr(1)S6 octahedra, corners with four equivalent Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids, and corners with two equivalent Ti(2)S4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 25-51°. The Ag(2)-S(5) bond length is 2.57 Å. Both Ag(2)-S(1) bond lengths are 3.01 Å. There is one shorter (2.57 Å) and one longer (2.61 Å) Ag(2)-S(4) bond length. There are six inequivalent S sites. In the first S site, S(1) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(2) atom. In the second S site, S(2) is bonded in a 4-coordinate geometry to one Cr(2), two equivalent Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 3-coordinate geometry to one Ti(2) and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded in a 3-coordinate geometry to one Cr(2) and two equivalent Ag(2) atoms. In the fifth S site, S(5) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), two equivalent Cr(1), and one Ag(2) atom. In the sixth S site, S(6) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(1) atom.