AgCrTiS4 crystallizes in the triclinic P1 space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one S(1), one S(11), one S(15), one S(3), one S(5), and one S(7) atom to form TiS6 octahedra that share  a cornercorner with one Ag(2)S6 pentagonal pyramid, corners with two equivalent Ag(1)S6 pentagonal pyramids, edges with two equivalent Ti(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. In the second Ti site, Ti(2) is bonded to one S(1), one S(11), one S(13), one S(15), one S(5), and one S(9) atom to form TiS6 octahedra that share edges with two equivalent Ti(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. In the third Ti site, Ti(3) is bonded to one S(10), one S(12), one S(14), one S(16), one S(2), and one S(6) atom to form TiS6 octahedra that share edges with two equivalent Ti(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. In the fourth Ti site, Ti(4) is bonded to one S(10), one S(12), one S(14), one S(16), one S(4), and one S(8) atom to form TiS6 octahedra that share edges with two equivalent Ti(3)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(1), one S(13), one S(3), one S(5), one S(7), and one S(9) atom to form CrS6 octahedra that share  a cornercorner with one Ag(1)S6 pentagonal pyramid, corners with two equivalent Ag(2)S6 pentagonal pyramids, edges with two equivalent Ti(1)S6 octahedra, edges with two equivalent Ti(2)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Ag(1)S6 pentagonal pyramid. In the second Cr site, Cr(2) is bonded to one S(10), one S(14), one S(2), one S(4), one S(6), and one S(8) atom to form CrS6 octahedra that share  a cornercorner with one Ag(1)S6 pentagonal pyramid, corners with two equivalent Ag(2)S6 pentagonal pyramids, edges with two equivalent Ti(3)S6 octahedra, edges with two equivalent Ti(4)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and  an edgeedge with one Ag(1)S6 pentagonal pyramid. In the third Cr site, Cr(3) is bonded to one S(12), one S(16), one S(2), one S(4), one S(6), and one S(8) atom to form CrS6 octahedra that share  a cornercorner with one Ag(2)S6 pentagonal pyramid, corners with two equivalent Ag(1)S6 pentagonal pyramids, edges with two equivalent Ti(3)S6 octahedra, edges with two equivalent Ti(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. In the fourth Cr site, Cr(4) is bonded to one S(11), one S(13), one S(15), one S(3), one S(7), and one S(9) atom to form CrS6 octahedra that share edges with two equivalent Ti(1)S6 octahedra, edges with two equivalent Ti(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one S(10), one S(3), one S(4), one S(5), one S(6), and one S(9) atom to form distorted AgS6 pentagonal pyramids that share  a cornercorner with one Cr(1)S6 octahedra,  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Ti(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Ti(2)S6 octahedra,  an edgeedge with one Ti(3)S6 octahedra,  an edgeedge with one Ti(4)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the second Ag site, Ag(2) is bonded to one S(1), one S(11), one S(12), one S(2), one S(7), and one S(8) atom to form distorted AgS6 pentagonal pyramids that share  a cornercorner with one Ti(1)S6 octahedra,  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra,  an edgeedge with one Ti(1)S6 octahedra,  an edgeedge with one Ti(2)S6 octahedra,  an edgeedge with one Ti(3)S6 octahedra,  an edgeedge with one Ti(4)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the third Ag site, Ag(3) is bonded in a 6-coordinate geometry to one S(1), one S(13), one S(14), one S(2), one S(7), and one S(8) atom. In the fourth Ag site, Ag(4) is bonded in a 6-coordinate geometry to one S(15), one S(16), one S(3), one S(4), one S(5), and one S(6) atom. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded to one Ti(1), one Ti(2), one Cr(1), one Ag(2), and one Ag(3) atom to form distorted STi2CrAg2 trigonal bipyramids that share  a cornercorner with one S(5)Ti2CrAg2 trigonal bipyramid, corners with two equivalent S(2)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(3)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(5)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(8)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(7)TiCr2Ag2 trigonal bipyramids. In the second S site, S(2) is bonded to one Ti(3), one Cr(2), one Cr(3), one Ag(2), and one Ag(3) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(6)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(1)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(4)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(6)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(7)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(8)TiCr2Ag2 trigonal bipyramids. In the third S site, S(3) is bonded to one Ti(1), one Cr(1), one Cr(4), one Ag(1), and one Ag(4) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(7)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(1)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(4)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(6)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(7)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(5)Ti2CrAg2 trigonal bipyramids. In the fourth S site, S(4) is bonded to one Ti(4), one Cr(2), one Cr(3), one Ag(1), and one Ag(4) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(8)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(2)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(3)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(5)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(8)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(6)TiCr2Ag2 trigonal bipyramids. In the fifth S site, S(5) is bonded to one Ti(1), one Ti(2), one Cr(1), one Ag(1), and one Ag(4) atom to form distorted STi2CrAg2 trigonal bipyramids that share  a cornercorner with one S(1)Ti2CrAg2 trigonal bipyramid, corners with two equivalent S(6)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(7)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(1)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(4)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(3)TiCr2Ag2 trigonal bipyramids. In the sixth S site, S(6) is bonded to one Ti(3), one Cr(2), one Cr(3), one Ag(1), and one Ag(4) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(2)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(5)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(8)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(2)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(3)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(4)TiCr2Ag2 trigonal bipyramids. In the seventh S site, S(7) is bonded to one Ti(1), one Cr(1), one Cr(4), one Ag(2), and one Ag(3) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(3)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(5)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(8)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(2)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(3)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(1)Ti2CrAg2 trigonal bipyramids. In the eighth S site, S(8) is bonded to one Ti(4), one Cr(2), one Cr(3), one Ag(2), and one Ag(3) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(4)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(6)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(7)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(1)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(4)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(2)TiCr2Ag2 trigonal bipyramids. In the ninth S site, S(9) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Cr(1), one Cr(4), and one Ag(1) atom. In the tenth S site, S(10) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(2), and one Ag(1) atom. In the eleventh S site, S(11) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(2), one Cr(4), and one Ag(2) atom. In the twelfth S site, S(12) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(3), and one Ag(2) atom. In the thirteenth S site, S(13) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Cr(1), one Cr(4), and one Ag(3) atom. In the fourteenth S site, S(14) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(2), and one Ag(3) atom. In the fifteenth S site, S(15) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(2), one Cr(4), and one Ag(4) atom. In the sixteenth S site, S(16) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(3), and one Ag(4) atom.
AgCrTiS4 crystallizes in the triclinic P1 space group. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one S(1), one S(11), one S(15), one S(3), one S(5), and one S(7) atom to form TiS6 octahedra that share  a cornercorner with one Ag(2)S6 pentagonal pyramid, corners with two equivalent Ag(1)S6 pentagonal pyramids, edges with two equivalent Ti(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. The Ti(1)-S(1) bond length is 2.53 Å. The Ti(1)-S(11) bond length is 2.42 Å. The Ti(1)-S(15) bond length is 2.45 Å. The Ti(1)-S(3) bond length is 2.41 Å. The Ti(1)-S(5) bond length is 2.52 Å. The Ti(1)-S(7) bond length is 2.40 Å. In the second Ti site, Ti(2) is bonded to one S(1), one S(11), one S(13), one S(15), one S(5), and one S(9) atom to form TiS6 octahedra that share edges with two equivalent Ti(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. The Ti(2)-S(1) bond length is 2.43 Å. The Ti(2)-S(11) bond length is 2.54 Å. The Ti(2)-S(13) bond length is 2.38 Å. The Ti(2)-S(15) bond length is 2.49 Å. The Ti(2)-S(5) bond length is 2.48 Å. The Ti(2)-S(9) bond length is 2.36 Å. In the third Ti site, Ti(3) is bonded to one S(10), one S(12), one S(14), one S(16), one S(2), and one S(6) atom to form TiS6 octahedra that share edges with two equivalent Ti(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. The Ti(3)-S(10) bond length is 2.42 Å. The Ti(3)-S(12) bond length is 2.45 Å. The Ti(3)-S(14) bond length is 2.42 Å. The Ti(3)-S(16) bond length is 2.45 Å. The Ti(3)-S(2) bond length is 2.45 Å. The Ti(3)-S(6) bond length is 2.45 Å. In the fourth Ti site, Ti(4) is bonded to one S(10), one S(12), one S(14), one S(16), one S(4), and one S(8) atom to form TiS6 octahedra that share edges with two equivalent Ti(3)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. The Ti(4)-S(10) bond length is 2.45 Å. The Ti(4)-S(12) bond length is 2.41 Å. The Ti(4)-S(14) bond length is 2.45 Å. The Ti(4)-S(16) bond length is 2.42 Å. The Ti(4)-S(4) bond length is 2.45 Å. The Ti(4)-S(8) bond length is 2.45 Å. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(1), one S(13), one S(3), one S(5), one S(7), and one S(9) atom to form CrS6 octahedra that share  a cornercorner with one Ag(1)S6 pentagonal pyramid, corners with two equivalent Ag(2)S6 pentagonal pyramids, edges with two equivalent Ti(1)S6 octahedra, edges with two equivalent Ti(2)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Ag(1)S6 pentagonal pyramid. The Cr(1)-S(1) bond length is 2.41 Å. The Cr(1)-S(13) bond length is 2.41 Å. The Cr(1)-S(3) bond length is 2.43 Å. The Cr(1)-S(5) bond length is 2.39 Å. The Cr(1)-S(7) bond length is 2.46 Å. The Cr(1)-S(9) bond length is 2.40 Å. In the second Cr site, Cr(2) is bonded to one S(10), one S(14), one S(2), one S(4), one S(6), and one S(8) atom to form CrS6 octahedra that share  a cornercorner with one Ag(1)S6 pentagonal pyramid, corners with two equivalent Ag(2)S6 pentagonal pyramids, edges with two equivalent Ti(3)S6 octahedra, edges with two equivalent Ti(4)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and  an edgeedge with one Ag(1)S6 pentagonal pyramid. The Cr(2)-S(10) bond length is 2.41 Å. The Cr(2)-S(14) bond length is 2.43 Å. The Cr(2)-S(2) bond length is 2.45 Å. The Cr(2)-S(4) bond length is 2.40 Å. The Cr(2)-S(6) bond length is 2.40 Å. The Cr(2)-S(8) bond length is 2.45 Å. In the third Cr site, Cr(3) is bonded to one S(12), one S(16), one S(2), one S(4), one S(6), and one S(8) atom to form CrS6 octahedra that share  a cornercorner with one Ag(2)S6 pentagonal pyramid, corners with two equivalent Ag(1)S6 pentagonal pyramids, edges with two equivalent Ti(3)S6 octahedra, edges with two equivalent Ti(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. The Cr(3)-S(12) bond length is 2.40 Å. The Cr(3)-S(16) bond length is 2.43 Å. The Cr(3)-S(2) bond length is 2.40 Å. The Cr(3)-S(4) bond length is 2.44 Å. The Cr(3)-S(6) bond length is 2.44 Å. The Cr(3)-S(8) bond length is 2.40 Å. In the fourth Cr site, Cr(4) is bonded to one S(11), one S(13), one S(15), one S(3), one S(7), and one S(9) atom to form CrS6 octahedra that share edges with two equivalent Ti(1)S6 octahedra, edges with two equivalent Ti(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra,  an edgeedge with one Ag(1)S6 pentagonal pyramid, and  an edgeedge with one Ag(2)S6 pentagonal pyramid. The Cr(4)-S(11) bond length is 2.39 Å. The Cr(4)-S(13) bond length is 2.42 Å. The Cr(4)-S(15) bond length is 2.40 Å. The Cr(4)-S(3) bond length is 2.40 Å. The Cr(4)-S(7) bond length is 2.40 Å. The Cr(4)-S(9) bond length is 2.42 Å. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one S(10), one S(3), one S(4), one S(5), one S(6), and one S(9) atom to form distorted AgS6 pentagonal pyramids that share  a cornercorner with one Cr(1)S6 octahedra,  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Ti(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Ti(2)S6 octahedra,  an edgeedge with one Ti(3)S6 octahedra,  an edgeedge with one Ti(4)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. The Ag(1)-S(10) bond length is 2.71 Å. The Ag(1)-S(3) bond length is 2.76 Å. The Ag(1)-S(4) bond length is 2.78 Å. The Ag(1)-S(5) bond length is 2.83 Å. The Ag(1)-S(6) bond length is 2.82 Å. The Ag(1)-S(9) bond length is 2.74 Å. In the second Ag site, Ag(2) is bonded to one S(1), one S(11), one S(12), one S(2), one S(7), and one S(8) atom to form distorted AgS6 pentagonal pyramids that share  a cornercorner with one Ti(1)S6 octahedra,  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra,  an edgeedge with one Ti(1)S6 octahedra,  an edgeedge with one Ti(2)S6 octahedra,  an edgeedge with one Ti(3)S6 octahedra,  an edgeedge with one Ti(4)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. The Ag(2)-S(1) bond length is 2.87 Å. The Ag(2)-S(11) bond length is 2.68 Å. The Ag(2)-S(12) bond length is 2.71 Å. The Ag(2)-S(2) bond length is 2.81 Å. The Ag(2)-S(7) bond length is 2.82 Å. The Ag(2)-S(8) bond length is 2.82 Å. In the third Ag site, Ag(3) is bonded in a 6-coordinate geometry to one S(1), one S(13), one S(14), one S(2), one S(7), and one S(8) atom. The Ag(3)-S(1) bond length is 2.83 Å. The Ag(3)-S(13) bond length is 2.67 Å. The Ag(3)-S(14) bond length is 2.66 Å. The Ag(3)-S(2) bond length is 2.83 Å. The Ag(3)-S(7) bond length is 2.85 Å. The Ag(3)-S(8) bond length is 2.85 Å. In the fourth Ag site, Ag(4) is bonded in a 6-coordinate geometry to one S(15), one S(16), one S(3), one S(4), one S(5), and one S(6) atom. The Ag(4)-S(15) bond length is 2.67 Å. The Ag(4)-S(16) bond length is 2.66 Å. The Ag(4)-S(3) bond length is 2.89 Å. The Ag(4)-S(4) bond length is 2.90 Å. The Ag(4)-S(5) bond length is 2.83 Å. The Ag(4)-S(6) bond length is 2.86 Å. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded to one Ti(1), one Ti(2), one Cr(1), one Ag(2), and one Ag(3) atom to form distorted STi2CrAg2 trigonal bipyramids that share  a cornercorner with one S(5)Ti2CrAg2 trigonal bipyramid, corners with two equivalent S(2)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(3)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(5)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(8)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(7)TiCr2Ag2 trigonal bipyramids. In the second S site, S(2) is bonded to one Ti(3), one Cr(2), one Cr(3), one Ag(2), and one Ag(3) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(6)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(1)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(4)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(6)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(7)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(8)TiCr2Ag2 trigonal bipyramids. In the third S site, S(3) is bonded to one Ti(1), one Cr(1), one Cr(4), one Ag(1), and one Ag(4) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(7)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(1)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(4)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(6)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(7)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(5)Ti2CrAg2 trigonal bipyramids. In the fourth S site, S(4) is bonded to one Ti(4), one Cr(2), one Cr(3), one Ag(1), and one Ag(4) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(8)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(2)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(3)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(5)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(8)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(6)TiCr2Ag2 trigonal bipyramids. In the fifth S site, S(5) is bonded to one Ti(1), one Ti(2), one Cr(1), one Ag(1), and one Ag(4) atom to form distorted STi2CrAg2 trigonal bipyramids that share  a cornercorner with one S(1)Ti2CrAg2 trigonal bipyramid, corners with two equivalent S(6)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(7)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(1)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(4)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(3)TiCr2Ag2 trigonal bipyramids. In the sixth S site, S(6) is bonded to one Ti(3), one Cr(2), one Cr(3), one Ag(1), and one Ag(4) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(2)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(5)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(8)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(2)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(3)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(4)TiCr2Ag2 trigonal bipyramids. In the seventh S site, S(7) is bonded to one Ti(1), one Cr(1), one Cr(4), one Ag(2), and one Ag(3) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(3)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(5)Ti2CrAg2 trigonal bipyramids, corners with two equivalent S(8)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(2)TiCr2Ag2 trigonal bipyramid,  an edgeedge with one S(3)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(1)Ti2CrAg2 trigonal bipyramids. In the eighth S site, S(8) is bonded to one Ti(4), one Cr(2), one Cr(3), one Ag(2), and one Ag(3) atom to form distorted STiCr2Ag2 trigonal bipyramids that share  a cornercorner with one S(4)TiCr2Ag2 trigonal bipyramid, corners with two equivalent S(6)TiCr2Ag2 trigonal bipyramids, corners with two equivalent S(7)TiCr2Ag2 trigonal bipyramids,  an edgeedge with one S(1)Ti2CrAg2 trigonal bipyramid,  an edgeedge with one S(4)TiCr2Ag2 trigonal bipyramid, and edges with two equivalent S(2)TiCr2Ag2 trigonal bipyramids. In the ninth S site, S(9) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Cr(1), one Cr(4), and one Ag(1) atom. In the tenth S site, S(10) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(2), and one Ag(1) atom. In the eleventh S site, S(11) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(2), one Cr(4), and one Ag(2) atom. In the twelfth S site, S(12) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(3), and one Ag(2) atom. In the thirteenth S site, S(13) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Cr(1), one Cr(4), and one Ag(3) atom. In the fourteenth S site, S(14) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(2), and one Ag(3) atom. In the fifteenth S site, S(15) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(2), one Cr(4), and one Ag(4) atom. In the sixteenth S site, S(16) is bonded in a rectangular see-saw-like geometry to one Ti(3), one Ti(4), one Cr(3), and one Ag(4) atom.