ZrCrAgS4 crystallizes in the monoclinic Cm space group. Zr(1) is bonded to one S(2), one S(3), two equivalent S(1), and two equivalent S(4) atoms to form ZrS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Zr(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 49-56°. Cr(1) is bonded to one S(1), one S(4), two equivalent S(2), and two equivalent S(3) 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 Zr(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 39-51°. 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 Zr(1)S6 octahedra, corners with six equivalent Cr(1)S6 octahedra, edges with two equivalent Ag(1)S6 octahedra,  a faceface with one Zr(1)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 39-56°. There are four inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to two equivalent Zr(1), one Cr(1), and one Ag(1) atom. In the second S site, S(2) is bonded in a rectangular see-saw-like geometry to one Zr(1), two equivalent Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded to one Zr(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted edge-sharing SZrCr2Ag2 trigonal bipyramids. In the fourth S site, S(4) is bonded in a 5-coordinate geometry to two equivalent Zr(1), one Cr(1), and two equivalent Ag(1) atoms.
ZrCrAgS4 crystallizes in the monoclinic Cm space group. Zr(1) is bonded to one S(2), one S(3), two equivalent S(1), and two equivalent S(4) atoms to form ZrS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Zr(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 49-56°. The Zr(1)-S(2) bond length is 2.51 Å. The Zr(1)-S(3) bond length is 2.61 Å. Both Zr(1)-S(1) bond lengths are 2.54 Å. Both Zr(1)-S(4) bond lengths are 2.62 Å. Cr(1) is bonded to one S(1), one S(4), two equivalent S(2), and two equivalent S(3) 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 Zr(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 39-51°. The Cr(1)-S(1) bond length is 2.47 Å. The Cr(1)-S(4) bond length is 2.42 Å. Both Cr(1)-S(2) bond lengths are 2.46 Å. Both Cr(1)-S(3) bond lengths are 2.46 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 Zr(1)S6 octahedra, corners with six equivalent Cr(1)S6 octahedra, edges with two equivalent Ag(1)S6 octahedra,  a faceface with one Zr(1)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 39-56°. The Ag(1)-S(1) bond length is 2.74 Å. The Ag(1)-S(2) bond length is 2.68 Å. Both Ag(1)-S(3) bond lengths are 2.77 Å. Both Ag(1)-S(4) bond lengths are 2.80 Å. There are four inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to two equivalent Zr(1), one Cr(1), and one Ag(1) atom. In the second S site, S(2) is bonded in a rectangular see-saw-like geometry to one Zr(1), two equivalent Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded to one Zr(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted edge-sharing SZrCr2Ag2 trigonal bipyramids. In the fourth S site, S(4) is bonded in a 5-coordinate geometry to two equivalent Zr(1), one Cr(1), and two equivalent Ag(1) atoms.