ZrCrAgS4 crystallizes in the monoclinic Pm space group. There are four inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one S(11), one S(7), two equivalent S(15), and two equivalent S(8) atoms to form ZrS6 octahedra that share  a cornercorner with one Zr(3)S6 octahedra, corners with two equivalent Zr(4)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and edges with two equivalent Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 57-59°. In the second Zr site, Zr(2) is bonded to one S(16), one S(6), two equivalent S(12), and two equivalent S(2) atoms to form ZrS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, edges with two equivalent Zr(2)S6 octahedra, and edges with two equivalent Cr(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. In the third Zr site, Zr(3) is bonded to one S(13), one S(7), two equivalent S(3), and two equivalent S(9) atoms to form ZrS6 octahedra that share  a cornercorner with one Zr(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra, edges with two equivalent Zr(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Ag(3)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 55-57°. In the fourth Zr site, Zr(4) is bonded to one S(14), one S(8), two equivalent S(10), and two equivalent S(4) atoms to form ZrS6 octahedra that share  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Zr(1)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(3)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 50-59°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(5), one S(9), two equivalent S(13), and two equivalent S(6) atoms to form CrS6 octahedra that share  a cornercorner with one Cr(4)S6 octahedra, corners with two equivalent Zr(2)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(3)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-56°. In the second Cr site, Cr(2) is bonded to one S(10), one S(6), two equivalent S(14), and two equivalent S(5) atoms to form CrS6 octahedra that share  a cornercorner with one Zr(2)S6 octahedra, corners with two equivalent Cr(4)S6 octahedra, edges with two equivalent Zr(4)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Cr(2)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the third Cr site, Cr(3) is bonded to one S(12), one S(8), two equivalent S(16), and two equivalent S(7) atoms to form CrS6 octahedra that share  a cornercorner with one Zr(4)S6 octahedra, corners with two equivalent Zr(3)S6 octahedra, edges with two equivalent Zr(1)S6 octahedra, edges with two equivalent Zr(2)S6 octahedra, and edges with two equivalent Cr(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the fourth Cr site, Cr(4) is bonded to one S(15), one S(5), two equivalent S(1), and two equivalent S(11) atoms to form CrS6 octahedra that share  a cornercorner with one Cr(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(1)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Ag(3)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-58°. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 7-coordinate geometry to one S(1), two equivalent S(15), two equivalent S(2), and two equivalent S(9) atoms. In the second Ag site, Ag(2) is bonded in a 7-coordinate geometry to one S(2), two equivalent S(1), two equivalent S(10), and two equivalent S(16) atoms. In the third Ag site, Ag(3) is bonded to one S(3), two equivalent S(11), two equivalent S(13), and two equivalent S(4) atoms to form distorted AgS7 pentagonal bipyramids that share corners with two equivalent Zr(1)S6 octahedra, corners with two equivalent Zr(4)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Cr(4)S6 octahedra,  an edgeedge with one Zr(4)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(4)S6 octahedra, edges with two equivalent Zr(3)S6 octahedra, and faces with two equivalent Ag(3)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 17-70°. In the fourth Ag site, Ag(4) is bonded in a 7-coordinate geometry to one S(4), two equivalent S(12), two equivalent S(14), and two equivalent S(3) atoms. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Cr(4), one Ag(1), and two equivalent Ag(2) atoms to form distorted SCr2Ag3 square pyramids that share corners with two equivalent S(10)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(15)Zr2CrAg2 square pyramids,  an edgeedge with one S(10)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(11)ZrCr2Ag2 trigonal bipyramid, and edges with two equivalent S(2)Zr2Ag3 trigonal bipyramids. In the second S site, S(2) is bonded to two equivalent Zr(2), one Ag(2), and two equivalent Ag(1) atoms to form distorted SZr2Ag3 trigonal bipyramids that share corners with two equivalent S(15)Zr2CrAg2 square pyramids, corners with two equivalent S(10)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids,  an edgeedge with one S(15)Zr2CrAg2 square pyramid, edges with two equivalent S(1)Cr2Ag3 square pyramids,  an edgeedge with one S(12)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(9)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(2)Zr2Ag3 trigonal bipyramids. In the third S site, S(3) is bonded to two equivalent Zr(3), one Ag(3), and two equivalent Ag(4) atoms to form distorted SZr2Ag3 trigonal bipyramids that share corners with two equivalent S(14)ZrCr2Ag2 square pyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids,  an edgeedge with one S(14)ZrCr2Ag2 square pyramid, edges with two equivalent S(4)Zr2Ag3 square pyramids, edges with two equivalent S(13)ZrCr2Ag2 square pyramids,  an edgeedge with one S(12)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(9)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(3)Zr2Ag3 trigonal bipyramids. In the fourth S site, S(4) is bonded to two equivalent Zr(4), one Ag(4), and two equivalent Ag(3) atoms to form distorted SZr2Ag3 square pyramids that share corners with two equivalent S(13)ZrCr2Ag2 square pyramids, corners with two equivalent S(10)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids,  an edgeedge with one S(13)ZrCr2Ag2 square pyramid, edges with two equivalent S(4)Zr2Ag3 square pyramids, edges with two equivalent S(14)ZrCr2Ag2 square pyramids,  an edgeedge with one S(10)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(11)ZrCr2Ag2 trigonal bipyramid, and edges with two equivalent S(3)Zr2Ag3 trigonal bipyramids. In the fifth S site, S(5) is bonded in a distorted rectangular see-saw-like geometry to one Cr(1), one Cr(4), and two equivalent Cr(2) atoms. In the sixth S site, S(6) is bonded in a rectangular see-saw-like geometry to one Zr(2), one Cr(2), and two equivalent Cr(1) atoms. In the seventh S site, S(7) is bonded in a rectangular see-saw-like geometry to one Zr(1), one Zr(3), and two equivalent Cr(3) atoms. In the eighth S site, S(8) is bonded in a rectangular see-saw-like geometry to one Zr(4), two equivalent Zr(1), and one Cr(3) atom. In the ninth S site, S(9) is bonded to two equivalent Zr(3), one Cr(1), and two equivalent Ag(1) atoms to form distorted SZr2CrAg2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(15)Zr2CrAg2 square pyramids, corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(15)Zr2CrAg2 square pyramid, edges with two equivalent S(13)ZrCr2Ag2 square pyramids,  an edgeedge with one S(2)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(3)Zr2Ag3 trigonal bipyramid, and edges with two equivalent S(9)Zr2CrAg2 trigonal bipyramids. In the tenth S site, S(10) is bonded to two equivalent Zr(4), one Cr(2), and two equivalent Ag(2) atoms to form distorted SZr2CrAg2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid,  an edgeedge with one S(4)Zr2Ag3 square pyramid, edges with two equivalent S(14)ZrCr2Ag2 square pyramids, and edges with two equivalent S(10)Zr2CrAg2 trigonal bipyramids. In the eleventh S site, S(11) is bonded to one Zr(1), two equivalent Cr(4), and two equivalent Ag(3) atoms to form distorted SZrCr2Ag2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(13)ZrCr2Ag2 square pyramids, corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid,  an edgeedge with one S(4)Zr2Ag3 square pyramid,  an edgeedge with one S(13)ZrCr2Ag2 square pyramid, edges with two equivalent S(15)Zr2CrAg2 square pyramids, and edges with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids. In the twelfth S site, S(12) is bonded to two equivalent Zr(2), one Cr(3), and two equivalent Ag(4) atoms to form distorted SZr2CrAg2 trigonal bipyramids that share corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(14)ZrCr2Ag2 square pyramids, corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(14)ZrCr2Ag2 square pyramid,  an edgeedge with one S(2)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(3)Zr2Ag3 trigonal bipyramid, and edges with two equivalent S(12)Zr2CrAg2 trigonal bipyramids. In the thirteenth S site, S(13) is bonded to one Zr(3), two equivalent Cr(1), and two equivalent Ag(3) atoms to form distorted SZrCr2Ag2 square pyramids that share corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids,  an edgeedge with one S(4)Zr2Ag3 square pyramid, edges with two equivalent S(13)ZrCr2Ag2 square pyramids,  an edgeedge with one S(11)ZrCr2Ag2 trigonal bipyramid, edges with two equivalent S(3)Zr2Ag3 trigonal bipyramids, and edges with two equivalent S(9)Zr2CrAg2 trigonal bipyramids. In the fourteenth S site, S(14) is bonded to one Zr(4), two equivalent Cr(2), and two equivalent Ag(4) atoms to form distorted SZrCr2Ag2 square pyramids that share corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, edges with two equivalent S(4)Zr2Ag3 square pyramids, edges with two equivalent S(14)ZrCr2Ag2 square pyramids,  an edgeedge with one S(3)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(12)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(10)Zr2CrAg2 trigonal bipyramids. In the fifteenth S site, S(15) is bonded to two equivalent Zr(1), one Cr(4), and two equivalent Ag(1) atoms to form distorted SZr2CrAg2 square pyramids that share corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(15)Zr2CrAg2 square pyramids,  an edgeedge with one S(2)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(9)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids. In the sixteenth S site, S(16) is bonded in a 3-coordinate geometry to one Zr(2), two equivalent Cr(3), and two equivalent Ag(2) atoms.
ZrCrAgS4 crystallizes in the monoclinic Pm space group. There are four inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one S(11), one S(7), two equivalent S(15), and two equivalent S(8) atoms to form ZrS6 octahedra that share  a cornercorner with one Zr(3)S6 octahedra, corners with two equivalent Zr(4)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and edges with two equivalent Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 57-59°. The Zr(1)-S(11) bond length is 2.53 Å. The Zr(1)-S(7) bond length is 2.69 Å. Both Zr(1)-S(15) bond lengths are 2.54 Å. Both Zr(1)-S(8) bond lengths are 2.60 Å. In the second Zr site, Zr(2) is bonded to one S(16), one S(6), two equivalent S(12), and two equivalent S(2) atoms to form ZrS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, edges with two equivalent Zr(2)S6 octahedra, and edges with two equivalent Cr(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. The Zr(2)-S(16) bond length is 2.61 Å. The Zr(2)-S(6) bond length is 2.71 Å. Both Zr(2)-S(12) bond lengths are 2.62 Å. Both Zr(2)-S(2) bond lengths are 2.51 Å. In the third Zr site, Zr(3) is bonded to one S(13), one S(7), two equivalent S(3), and two equivalent S(9) atoms to form ZrS6 octahedra that share  a cornercorner with one Zr(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra, edges with two equivalent Zr(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Ag(3)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 55-57°. The Zr(3)-S(13) bond length is 2.62 Å. The Zr(3)-S(7) bond length is 2.67 Å. Both Zr(3)-S(3) bond lengths are 2.52 Å. Both Zr(3)-S(9) bond lengths are 2.61 Å. In the fourth Zr site, Zr(4) is bonded to one S(14), one S(8), two equivalent S(10), and two equivalent S(4) atoms to form ZrS6 octahedra that share  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Zr(1)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(3)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 50-59°. The Zr(4)-S(14) bond length is 2.49 Å. The Zr(4)-S(8) bond length is 2.82 Å. Both Zr(4)-S(10) bond lengths are 2.59 Å. Both Zr(4)-S(4) bond lengths are 2.53 Å. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(5), one S(9), two equivalent S(13), and two equivalent S(6) atoms to form CrS6 octahedra that share  a cornercorner with one Cr(4)S6 octahedra, corners with two equivalent Zr(2)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(3)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-56°. The Cr(1)-S(5) bond length is 2.47 Å. The Cr(1)-S(9) bond length is 2.52 Å. Both Cr(1)-S(13) bond lengths are 2.38 Å. Both Cr(1)-S(6) bond lengths are 2.47 Å. In the second Cr site, Cr(2) is bonded to one S(10), one S(6), two equivalent S(14), and two equivalent S(5) atoms to form CrS6 octahedra that share  a cornercorner with one Zr(2)S6 octahedra, corners with two equivalent Cr(4)S6 octahedra, edges with two equivalent Zr(4)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Cr(2)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. The Cr(2)-S(10) bond length is 2.47 Å. The Cr(2)-S(6) bond length is 2.45 Å. Both Cr(2)-S(14) bond lengths are 2.44 Å. Both Cr(2)-S(5) bond lengths are 2.45 Å. In the third Cr site, Cr(3) is bonded to one S(12), one S(8), two equivalent S(16), and two equivalent S(7) atoms to form CrS6 octahedra that share  a cornercorner with one Zr(4)S6 octahedra, corners with two equivalent Zr(3)S6 octahedra, edges with two equivalent Zr(1)S6 octahedra, edges with two equivalent Zr(2)S6 octahedra, and edges with two equivalent Cr(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. The Cr(3)-S(12) bond length is 2.42 Å. The Cr(3)-S(8) bond length is 2.50 Å. Both Cr(3)-S(16) bond lengths are 2.38 Å. Both Cr(3)-S(7) bond lengths are 2.51 Å. In the fourth Cr site, Cr(4) is bonded to one S(15), one S(5), two equivalent S(1), and two equivalent S(11) atoms to form CrS6 octahedra that share  a cornercorner with one Cr(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra, corners with two equivalent Ag(3)S7 pentagonal bipyramids, edges with two equivalent Zr(1)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Ag(3)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-58°. The Cr(4)-S(15) bond length is 2.42 Å. The Cr(4)-S(5) bond length is 2.66 Å. Both Cr(4)-S(1) bond lengths are 2.41 Å. Both Cr(4)-S(11) bond lengths are 2.48 Å. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 7-coordinate geometry to one S(1), two equivalent S(15), two equivalent S(2), and two equivalent S(9) atoms. The Ag(1)-S(1) bond length is 2.61 Å. Both Ag(1)-S(15) bond lengths are 2.96 Å. Both Ag(1)-S(2) bond lengths are 2.87 Å. Both Ag(1)-S(9) bond lengths are 2.77 Å. In the second Ag site, Ag(2) is bonded in a 7-coordinate geometry to one S(2), two equivalent S(1), two equivalent S(10), and two equivalent S(16) atoms. The Ag(2)-S(2) bond length is 2.65 Å. Both Ag(2)-S(1) bond lengths are 2.78 Å. Both Ag(2)-S(10) bond lengths are 2.77 Å. Both Ag(2)-S(16) bond lengths are 3.13 Å. In the third Ag site, Ag(3) is bonded to one S(3), two equivalent S(11), two equivalent S(13), and two equivalent S(4) atoms to form distorted AgS7 pentagonal bipyramids that share corners with two equivalent Zr(1)S6 octahedra, corners with two equivalent Zr(4)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Cr(4)S6 octahedra,  an edgeedge with one Zr(4)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(4)S6 octahedra, edges with two equivalent Zr(3)S6 octahedra, and faces with two equivalent Ag(3)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 17-70°. The Ag(3)-S(3) bond length is 2.74 Å. Both Ag(3)-S(11) bond lengths are 2.78 Å. Both Ag(3)-S(13) bond lengths are 2.82 Å. Both Ag(3)-S(4) bond lengths are 2.94 Å. In the fourth Ag site, Ag(4) is bonded in a 7-coordinate geometry to one S(4), two equivalent S(12), two equivalent S(14), and two equivalent S(3) atoms. The Ag(4)-S(4) bond length is 2.71 Å. Both Ag(4)-S(12) bond lengths are 2.79 Å. Both Ag(4)-S(14) bond lengths are 2.94 Å. Both Ag(4)-S(3) bond lengths are 2.88 Å. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Cr(4), one Ag(1), and two equivalent Ag(2) atoms to form distorted SCr2Ag3 square pyramids that share corners with two equivalent S(10)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(15)Zr2CrAg2 square pyramids,  an edgeedge with one S(10)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(11)ZrCr2Ag2 trigonal bipyramid, and edges with two equivalent S(2)Zr2Ag3 trigonal bipyramids. In the second S site, S(2) is bonded to two equivalent Zr(2), one Ag(2), and two equivalent Ag(1) atoms to form distorted SZr2Ag3 trigonal bipyramids that share corners with two equivalent S(15)Zr2CrAg2 square pyramids, corners with two equivalent S(10)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids,  an edgeedge with one S(15)Zr2CrAg2 square pyramid, edges with two equivalent S(1)Cr2Ag3 square pyramids,  an edgeedge with one S(12)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(9)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(2)Zr2Ag3 trigonal bipyramids. In the third S site, S(3) is bonded to two equivalent Zr(3), one Ag(3), and two equivalent Ag(4) atoms to form distorted SZr2Ag3 trigonal bipyramids that share corners with two equivalent S(14)ZrCr2Ag2 square pyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids,  an edgeedge with one S(14)ZrCr2Ag2 square pyramid, edges with two equivalent S(4)Zr2Ag3 square pyramids, edges with two equivalent S(13)ZrCr2Ag2 square pyramids,  an edgeedge with one S(12)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(9)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(3)Zr2Ag3 trigonal bipyramids. In the fourth S site, S(4) is bonded to two equivalent Zr(4), one Ag(4), and two equivalent Ag(3) atoms to form distorted SZr2Ag3 square pyramids that share corners with two equivalent S(13)ZrCr2Ag2 square pyramids, corners with two equivalent S(10)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids,  an edgeedge with one S(13)ZrCr2Ag2 square pyramid, edges with two equivalent S(4)Zr2Ag3 square pyramids, edges with two equivalent S(14)ZrCr2Ag2 square pyramids,  an edgeedge with one S(10)Zr2CrAg2 trigonal bipyramid,  an edgeedge with one S(11)ZrCr2Ag2 trigonal bipyramid, and edges with two equivalent S(3)Zr2Ag3 trigonal bipyramids. In the fifth S site, S(5) is bonded in a distorted rectangular see-saw-like geometry to one Cr(1), one Cr(4), and two equivalent Cr(2) atoms. In the sixth S site, S(6) is bonded in a rectangular see-saw-like geometry to one Zr(2), one Cr(2), and two equivalent Cr(1) atoms. In the seventh S site, S(7) is bonded in a rectangular see-saw-like geometry to one Zr(1), one Zr(3), and two equivalent Cr(3) atoms. In the eighth S site, S(8) is bonded in a rectangular see-saw-like geometry to one Zr(4), two equivalent Zr(1), and one Cr(3) atom. In the ninth S site, S(9) is bonded to two equivalent Zr(3), one Cr(1), and two equivalent Ag(1) atoms to form distorted SZr2CrAg2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(15)Zr2CrAg2 square pyramids, corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(15)Zr2CrAg2 square pyramid, edges with two equivalent S(13)ZrCr2Ag2 square pyramids,  an edgeedge with one S(2)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(3)Zr2Ag3 trigonal bipyramid, and edges with two equivalent S(9)Zr2CrAg2 trigonal bipyramids. In the tenth S site, S(10) is bonded to two equivalent Zr(4), one Cr(2), and two equivalent Ag(2) atoms to form distorted SZr2CrAg2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid,  an edgeedge with one S(4)Zr2Ag3 square pyramid, edges with two equivalent S(14)ZrCr2Ag2 square pyramids, and edges with two equivalent S(10)Zr2CrAg2 trigonal bipyramids. In the eleventh S site, S(11) is bonded to one Zr(1), two equivalent Cr(4), and two equivalent Ag(3) atoms to form distorted SZrCr2Ag2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(13)ZrCr2Ag2 square pyramids, corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid,  an edgeedge with one S(4)Zr2Ag3 square pyramid,  an edgeedge with one S(13)ZrCr2Ag2 square pyramid, edges with two equivalent S(15)Zr2CrAg2 square pyramids, and edges with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids. In the twelfth S site, S(12) is bonded to two equivalent Zr(2), one Cr(3), and two equivalent Ag(4) atoms to form distorted SZr2CrAg2 trigonal bipyramids that share corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(14)ZrCr2Ag2 square pyramids, corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids,  an edgeedge with one S(14)ZrCr2Ag2 square pyramid,  an edgeedge with one S(2)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(3)Zr2Ag3 trigonal bipyramid, and edges with two equivalent S(12)Zr2CrAg2 trigonal bipyramids. In the thirteenth S site, S(13) is bonded to one Zr(3), two equivalent Cr(1), and two equivalent Ag(3) atoms to form distorted SZrCr2Ag2 square pyramids that share corners with two equivalent S(4)Zr2Ag3 square pyramids, corners with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids,  an edgeedge with one S(4)Zr2Ag3 square pyramid, edges with two equivalent S(13)ZrCr2Ag2 square pyramids,  an edgeedge with one S(11)ZrCr2Ag2 trigonal bipyramid, edges with two equivalent S(3)Zr2Ag3 trigonal bipyramids, and edges with two equivalent S(9)Zr2CrAg2 trigonal bipyramids. In the fourteenth S site, S(14) is bonded to one Zr(4), two equivalent Cr(2), and two equivalent Ag(4) atoms to form distorted SZrCr2Ag2 square pyramids that share corners with two equivalent S(3)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(12)Zr2CrAg2 trigonal bipyramids, edges with two equivalent S(4)Zr2Ag3 square pyramids, edges with two equivalent S(14)ZrCr2Ag2 square pyramids,  an edgeedge with one S(3)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(12)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(10)Zr2CrAg2 trigonal bipyramids. In the fifteenth S site, S(15) is bonded to two equivalent Zr(1), one Cr(4), and two equivalent Ag(1) atoms to form distorted SZr2CrAg2 square pyramids that share corners with two equivalent S(2)Zr2Ag3 trigonal bipyramids, corners with two equivalent S(9)Zr2CrAg2 trigonal bipyramids, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(15)Zr2CrAg2 square pyramids,  an edgeedge with one S(2)Zr2Ag3 trigonal bipyramid,  an edgeedge with one S(9)Zr2CrAg2 trigonal bipyramid, and edges with two equivalent S(11)ZrCr2Ag2 trigonal bipyramids. In the sixteenth S site, S(16) is bonded in a 3-coordinate geometry to one Zr(2), two equivalent Cr(3), and two equivalent Ag(2) atoms.