TaCr3(AgS4)2 crystallizes in the orthorhombic Pmn2_1 space group. Ta(1) is bonded to one S(4), one S(8), two equivalent S(2), and two equivalent S(6) atoms to form distorted TaS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Ag(2)S7 pentagonal bipyramids, edges with two equivalent Ta(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and edges with three equivalent Ag(2)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 52-56°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(3), one S(5), two equivalent S(4), and two equivalent S(7) atoms to form CrS6 octahedra that share  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Ta(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and edges with two equivalent Cr(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the second Cr site, Cr(2) is bonded to one S(4), one S(6), two equivalent S(3), and two equivalent S(8) atoms to form CrS6 octahedra that share  a cornercorner with one Ta(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra, corners with four equivalent Ag(2)S7 pentagonal bipyramids, edges with two equivalent Ta(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(2)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 52-58°. In the third Cr site, Cr(3) is bonded to one S(3), one S(7), two equivalent S(1), and two equivalent S(5) 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(2)S7 pentagonal bipyramids, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and  an edgeedge with one Ag(2)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-58°. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 7-coordinate geometry to one S(1), two equivalent S(2), two equivalent S(5), and two equivalent S(7) atoms. In the second Ag site, Ag(2) is bonded to one S(2), two equivalent S(1), two equivalent S(6), and two equivalent S(8) atoms to form distorted AgS7 pentagonal bipyramids that share corners with two equivalent Ta(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra, corners with four equivalent Cr(2)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra, edges with three equivalent Ta(1)S6 octahedra, and faces with two equivalent Ag(2)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 20-63°. There are eight inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Cr(3), one Ag(1), and two equivalent Ag(2) atoms to form distorted SCr2Ag3 square pyramids that share corners with two equivalent S(8)TaCr2Ag2 square pyramids, corners with two equivalent S(6)Ta2CrAg2 trigonal bipyramids, corners with four equivalent S(5)Cr3Ag2 trigonal bipyramids,  an edgeedge with one S(8)TaCr2Ag2 square pyramid, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(7)Cr3Ag2 square pyramids,  an edgeedge with one S(5)Cr3Ag2 trigonal bipyramid, and  an edgeedge with one S(6)Ta2CrAg2 trigonal bipyramid. In the second S site, S(2) is bonded in a 5-coordinate geometry to two equivalent Ta(1), one Ag(2), and two equivalent Ag(1) atoms. In the third S site, S(3) is bonded in a rectangular see-saw-like geometry to one Cr(1), one Cr(3), and two equivalent Cr(2) atoms. In the fourth S site, S(4) is bonded in a rectangular see-saw-like geometry to one Ta(1), one Cr(2), and two equivalent Cr(1) atoms. In the fifth S site, S(5) is bonded to one Cr(1), two equivalent Cr(3), and two equivalent Ag(1) atoms to form distorted SCr3Ag2 trigonal bipyramids that share corners with two equivalent S(7)Cr3Ag2 square pyramids, corners with four equivalent S(1)Cr2Ag3 square pyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid, edges with three equivalent S(7)Cr3Ag2 square pyramids, and edges with two equivalent S(5)Cr3Ag2 trigonal bipyramids. In the sixth S site, S(6) is bonded to two equivalent Ta(1), one Cr(2), and two equivalent Ag(2) atoms to form distorted STa2CrAg2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(8)TaCr2Ag2 square pyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid, edges with three equivalent S(8)TaCr2Ag2 square pyramids, and edges with two equivalent S(6)Ta2CrAg2 trigonal bipyramids. In the seventh S site, S(7) is bonded to one Cr(3), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted SCr3Ag2 square pyramids that share corners with two equivalent S(5)Cr3Ag2 trigonal bipyramids, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(7)Cr3Ag2 square pyramids, and edges with three equivalent S(5)Cr3Ag2 trigonal bipyramids. In the eighth S site, S(8) is bonded to one Ta(1), two equivalent Cr(2), and two equivalent Ag(2) atoms to form distorted STaCr2Ag2 square pyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(6)Ta2CrAg2 trigonal bipyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid, edges with two equivalent S(8)TaCr2Ag2 square pyramids, and edges with three equivalent S(6)Ta2CrAg2 trigonal bipyramids.
TaCr3(AgS4)2 crystallizes in the orthorhombic Pmn2_1 space group. Ta(1) is bonded to one S(4), one S(8), two equivalent S(2), and two equivalent S(6) atoms to form distorted TaS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Ag(2)S7 pentagonal bipyramids, edges with two equivalent Ta(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and edges with three equivalent Ag(2)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 52-56°. The Ta(1)-S(4) bond length is 2.44 Å. The Ta(1)-S(8) bond length is 2.58 Å. Both Ta(1)-S(2) bond lengths are 2.43 Å. Both Ta(1)-S(6) bond lengths are 2.50 Å. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(3), one S(5), two equivalent S(4), and two equivalent S(7) atoms to form CrS6 octahedra that share  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Ta(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and edges with two equivalent Cr(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. The Cr(1)-S(3) bond length is 2.50 Å. The Cr(1)-S(5) bond length is 2.43 Å. Both Cr(1)-S(4) bond lengths are 2.51 Å. Both Cr(1)-S(7) bond lengths are 2.33 Å. In the second Cr site, Cr(2) is bonded to one S(4), one S(6), two equivalent S(3), and two equivalent S(8) atoms to form CrS6 octahedra that share  a cornercorner with one Ta(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra, corners with four equivalent Ag(2)S7 pentagonal bipyramids, edges with two equivalent Ta(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(2)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 52-58°. The Cr(2)-S(4) bond length is 2.51 Å. The Cr(2)-S(6) bond length is 2.45 Å. Both Cr(2)-S(3) bond lengths are 2.42 Å. Both Cr(2)-S(8) bond lengths are 2.41 Å. In the third Cr site, Cr(3) is bonded to one S(3), one S(7), two equivalent S(1), and two equivalent S(5) 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(2)S7 pentagonal bipyramids, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and  an edgeedge with one Ag(2)S7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-58°. The Cr(3)-S(3) bond length is 2.71 Å. The Cr(3)-S(7) bond length is 2.38 Å. Both Cr(3)-S(1) bond lengths are 2.39 Å. Both Cr(3)-S(5) bond lengths are 2.44 Å. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 7-coordinate geometry to one S(1), two equivalent S(2), two equivalent S(5), and two equivalent S(7) atoms. The Ag(1)-S(1) bond length is 2.71 Å. Both Ag(1)-S(2) bond lengths are 2.92 Å. Both Ag(1)-S(5) bond lengths are 2.75 Å. Both Ag(1)-S(7) bond lengths are 2.76 Å. In the second Ag site, Ag(2) is bonded to one S(2), two equivalent S(1), two equivalent S(6), and two equivalent S(8) atoms to form distorted AgS7 pentagonal bipyramids that share corners with two equivalent Ta(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra, corners with four equivalent Cr(2)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra, edges with three equivalent Ta(1)S6 octahedra, and faces with two equivalent Ag(2)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 20-63°. The Ag(2)-S(2) bond length is 2.74 Å. Both Ag(2)-S(1) bond lengths are 2.76 Å. Both Ag(2)-S(6) bond lengths are 2.80 Å. Both Ag(2)-S(8) bond lengths are 2.85 Å. There are eight inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Cr(3), one Ag(1), and two equivalent Ag(2) atoms to form distorted SCr2Ag3 square pyramids that share corners with two equivalent S(8)TaCr2Ag2 square pyramids, corners with two equivalent S(6)Ta2CrAg2 trigonal bipyramids, corners with four equivalent S(5)Cr3Ag2 trigonal bipyramids,  an edgeedge with one S(8)TaCr2Ag2 square pyramid, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(7)Cr3Ag2 square pyramids,  an edgeedge with one S(5)Cr3Ag2 trigonal bipyramid, and  an edgeedge with one S(6)Ta2CrAg2 trigonal bipyramid. In the second S site, S(2) is bonded in a 5-coordinate geometry to two equivalent Ta(1), one Ag(2), and two equivalent Ag(1) atoms. In the third S site, S(3) is bonded in a rectangular see-saw-like geometry to one Cr(1), one Cr(3), and two equivalent Cr(2) atoms. In the fourth S site, S(4) is bonded in a rectangular see-saw-like geometry to one Ta(1), one Cr(2), and two equivalent Cr(1) atoms. In the fifth S site, S(5) is bonded to one Cr(1), two equivalent Cr(3), and two equivalent Ag(1) atoms to form distorted SCr3Ag2 trigonal bipyramids that share corners with two equivalent S(7)Cr3Ag2 square pyramids, corners with four equivalent S(1)Cr2Ag3 square pyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid, edges with three equivalent S(7)Cr3Ag2 square pyramids, and edges with two equivalent S(5)Cr3Ag2 trigonal bipyramids. In the sixth S site, S(6) is bonded to two equivalent Ta(1), one Cr(2), and two equivalent Ag(2) atoms to form distorted STa2CrAg2 trigonal bipyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(8)TaCr2Ag2 square pyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid, edges with three equivalent S(8)TaCr2Ag2 square pyramids, and edges with two equivalent S(6)Ta2CrAg2 trigonal bipyramids. In the seventh S site, S(7) is bonded to one Cr(3), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted SCr3Ag2 square pyramids that share corners with two equivalent S(5)Cr3Ag2 trigonal bipyramids, edges with two equivalent S(1)Cr2Ag3 square pyramids, edges with two equivalent S(7)Cr3Ag2 square pyramids, and edges with three equivalent S(5)Cr3Ag2 trigonal bipyramids. In the eighth S site, S(8) is bonded to one Ta(1), two equivalent Cr(2), and two equivalent Ag(2) atoms to form distorted STaCr2Ag2 square pyramids that share corners with two equivalent S(1)Cr2Ag3 square pyramids, corners with two equivalent S(6)Ta2CrAg2 trigonal bipyramids,  an edgeedge with one S(1)Cr2Ag3 square pyramid, edges with two equivalent S(8)TaCr2Ag2 square pyramids, and edges with three equivalent S(6)Ta2CrAg2 trigonal bipyramids.