Cu10Hg3Zn2Sn5S20 is Clathrate-derived structured and crystallizes in the monoclinic C2 space group. There are five inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one S(2), one S(3), one S(6), and one S(8) atom to form CuS4 tetrahedra that share  a cornercorner with one Hg(2)S4 tetrahedra,  a cornercorner with one Sn(1)S4 tetrahedra, corners with two equivalent Cu(2)S4 tetrahedra, corners with two equivalent Cu(3)S4 tetrahedra, corners with three equivalent Hg(1)S4 tetrahedra, and corners with three equivalent Sn(2)S4 tetrahedra. In the second Cu site, Cu(2) is bonded to one S(1), one S(4), one S(6), and one S(8) atom to form CuS4 tetrahedra that share  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Sn(2)S4 tetrahedra, corners with two equivalent Cu(1)S4 tetrahedra, corners with two equivalent Cu(4)S4 tetrahedra, corners with three equivalent Hg(1)S4 tetrahedra, and corners with three equivalent Sn(1)S4 tetrahedra. In the third Cu site, Cu(3) is bonded to one S(2), one S(3), and two equivalent S(7) atoms to form CuS4 tetrahedra that share  a cornercorner with one Hg(1)S4 tetrahedra, corners with two equivalent Cu(1)S4 tetrahedra, corners with two equivalent Cu(3)S4 tetrahedra, corners with three equivalent Hg(2)S4 tetrahedra, and corners with four equivalent Sn(2)S4 tetrahedra. In the fourth Cu site, Cu(4) is bonded to one S(1), one S(10), one S(4), and one S(9) atom to form CuS4 tetrahedra that share  a cornercorner with one Hg(1)S4 tetrahedra,  a cornercorner with one Sn(3)S4 tetrahedra, corners with two equivalent Cu(2)S4 tetrahedra, corners with two equivalent Cu(5)S4 tetrahedra, corners with three equivalent Zn(1)S4 tetrahedra, and corners with three equivalent Sn(1)S4 tetrahedra. In the fifth Cu site, Cu(5) is bonded to one S(10), one S(9), and two equivalent S(5) atoms to form CuS4 tetrahedra that share  a cornercorner with one Sn(1)S4 tetrahedra, corners with two equivalent Cu(4)S4 tetrahedra, corners with two equivalent Cu(5)S4 tetrahedra, corners with three equivalent Sn(3)S4 tetrahedra, and corners with four equivalent Zn(1)S4 tetrahedra. There are two inequivalent Hg sites. In the first Hg site, Hg(1) is bonded to one S(2), one S(4), one S(6), and one S(8) atom to form HgS4 tetrahedra that share  a cornercorner with one Cu(3)S4 tetrahedra,  a cornercorner with one Cu(4)S4 tetrahedra, corners with two equivalent Sn(1)S4 tetrahedra, corners with two equivalent Sn(2)S4 tetrahedra, corners with three equivalent Cu(1)S4 tetrahedra, and corners with three equivalent Cu(2)S4 tetrahedra. In the second Hg site, Hg(2) is bonded to two equivalent S(3) and two equivalent S(7) atoms to form HgS4 tetrahedra that share corners with two equivalent Cu(1)S4 tetrahedra, corners with four equivalent Sn(2)S4 tetrahedra, and corners with six equivalent Cu(3)S4 tetrahedra. Zn(1) is bonded to one S(1), one S(10), one S(5), and one S(9) atom to form ZnS4 tetrahedra that share  a cornercorner with one Cu(2)S4 tetrahedra, corners with two equivalent Sn(1)S4 tetrahedra, corners with two equivalent Sn(3)S4 tetrahedra, corners with three equivalent Cu(4)S4 tetrahedra, and corners with four equivalent Cu(5)S4 tetrahedra. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one S(1), one S(4), one S(6), and one S(9) atom to form SnS4 tetrahedra that share  a cornercorner with one Cu(1)S4 tetrahedra,  a cornercorner with one Cu(5)S4 tetrahedra, corners with two equivalent Hg(1)S4 tetrahedra, corners with two equivalent Zn(1)S4 tetrahedra, corners with three equivalent Cu(2)S4 tetrahedra, and corners with three equivalent Cu(4)S4 tetrahedra. In the second Sn site, Sn(2) is bonded to one S(2), one S(3), one S(7), and one S(8) atom to form SnS4 tetrahedra that share  a cornercorner with one Cu(2)S4 tetrahedra, corners with two equivalent Hg(1)S4 tetrahedra, corners with two equivalent Hg(2)S4 tetrahedra, corners with three equivalent Cu(1)S4 tetrahedra, and corners with four equivalent Cu(3)S4 tetrahedra. In the third Sn site, Sn(3) is bonded to two equivalent S(10) and two equivalent S(5) atoms to form SnS4 tetrahedra that share corners with two equivalent Cu(4)S4 tetrahedra, corners with four equivalent Zn(1)S4 tetrahedra, and corners with six equivalent Cu(5)S4 tetrahedra. There are ten inequivalent S sites. In the first S site, S(1) is bonded to one Cu(2), one Cu(4), one Zn(1), and one Sn(1) atom to form SZnCu2Sn tetrahedra that share  a cornercorner with one S(8)Cu2SnHg tetrahedra,  a cornercorner with one S(5)ZnCu2Sn tetrahedra, corners with two equivalent S(6)Cu2SnHg tetrahedra, corners with two equivalent S(10)ZnCu2Sn tetrahedra, corners with three equivalent S(4)Cu2SnHg tetrahedra, and corners with three equivalent S(9)ZnCu2Sn tetrahedra. In the second S site, S(2) is bonded to one Cu(1), one Cu(3), one Hg(1), and one Sn(2) atom to form corner-sharing SCu2SnHg tetrahedra. In the third S site, S(3) is bonded to one Cu(1), one Cu(3), one Hg(2), and one Sn(2) atom to form corner-sharing SCu2SnHg tetrahedra. In the fourth S site, S(4) is bonded to one Cu(2), one Cu(4), one Hg(1), and one Sn(1) atom to form SCu2SnHg tetrahedra that share  a cornercorner with one S(2)Cu2SnHg tetrahedra,  a cornercorner with one S(10)ZnCu2Sn tetrahedra, corners with two equivalent S(8)Cu2SnHg tetrahedra, corners with two equivalent S(9)ZnCu2Sn tetrahedra, corners with three equivalent S(6)Cu2SnHg tetrahedra, and corners with three equivalent S(1)ZnCu2Sn tetrahedra. In the fifth S site, S(5) is bonded to two equivalent Cu(5), one Zn(1), and one Sn(3) atom to form corner-sharing SZnCu2Sn tetrahedra. In the sixth S site, S(6) is bonded to one Cu(1), one Cu(2), one Hg(1), and one Sn(1) atom to form SCu2SnHg tetrahedra that share  a cornercorner with one S(3)Cu2SnHg tetrahedra,  a cornercorner with one S(9)ZnCu2Sn tetrahedra, corners with two equivalent S(2)Cu2SnHg tetrahedra, corners with two equivalent S(1)ZnCu2Sn tetrahedra, corners with three equivalent S(4)Cu2SnHg tetrahedra, and corners with three equivalent S(8)Cu2SnHg tetrahedra. In the seventh S site, S(7) is bonded to two equivalent Cu(3), one Hg(2), and one Sn(2) atom to form corner-sharing SCu2SnHg tetrahedra. In the eighth S site, S(8) is bonded to one Cu(1), one Cu(2), one Hg(1), and one Sn(2) atom to form SCu2SnHg tetrahedra that share  a cornercorner with one S(7)Cu2SnHg tetrahedra,  a cornercorner with one S(1)ZnCu2Sn tetrahedra, corners with two equivalent S(3)Cu2SnHg tetrahedra, corners with two equivalent S(4)Cu2SnHg tetrahedra, corners with three equivalent S(2)Cu2SnHg tetrahedra, and corners with three equivalent S(6)Cu2SnHg tetrahedra. In the ninth S site, S(9) is bonded to one Cu(4), one Cu(5), one Zn(1), and one Sn(1) atom to form SZnCu2Sn tetrahedra that share  a cornercorner with one S(6)Cu2SnHg tetrahedra, corners with two equivalent S(4)Cu2SnHg tetrahedra, corners with three equivalent S(1)ZnCu2Sn tetrahedra, corners with three equivalent S(10)ZnCu2Sn tetrahedra, and corners with three equivalent S(5)ZnCu2Sn tetrahedra. In the tenth S site, S(10) is bonded to one Cu(4), one Cu(5), one Zn(1), and one Sn(3) atom to form SZnCu2Sn tetrahedra that share  a cornercorner with one S(4)Cu2SnHg tetrahedra,  a cornercorner with one S(10)ZnCu2Sn tetrahedra, corners with two equivalent S(1)ZnCu2Sn tetrahedra, corners with three equivalent S(9)ZnCu2Sn tetrahedra, and corners with five equivalent S(5)ZnCu2Sn tetrahedra.
Cu10Hg3Zn2Sn5S20 is Clathrate-derived structured and crystallizes in the monoclinic C2 space group. There are five inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one S(2), one S(3), one S(6), and one S(8) atom to form CuS4 tetrahedra that share  a cornercorner with one Hg(2)S4 tetrahedra,  a cornercorner with one Sn(1)S4 tetrahedra, corners with two equivalent Cu(2)S4 tetrahedra, corners with two equivalent Cu(3)S4 tetrahedra, corners with three equivalent Hg(1)S4 tetrahedra, and corners with three equivalent Sn(2)S4 tetrahedra. The Cu(1)-S(2) bond length is 2.30 Å. The Cu(1)-S(3) bond length is 2.30 Å. The Cu(1)-S(6) bond length is 2.31 Å. The Cu(1)-S(8) bond length is 2.31 Å. In the second Cu site, Cu(2) is bonded to one S(1), one S(4), one S(6), and one S(8) atom to form CuS4 tetrahedra that share  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Sn(2)S4 tetrahedra, corners with two equivalent Cu(1)S4 tetrahedra, corners with two equivalent Cu(4)S4 tetrahedra, corners with three equivalent Hg(1)S4 tetrahedra, and corners with three equivalent Sn(1)S4 tetrahedra. The Cu(2)-S(1) bond length is 2.34 Å. The Cu(2)-S(4) bond length is 2.32 Å. The Cu(2)-S(6) bond length is 2.31 Å. The Cu(2)-S(8) bond length is 2.30 Å. In the third Cu site, Cu(3) is bonded to one S(2), one S(3), and two equivalent S(7) atoms to form CuS4 tetrahedra that share  a cornercorner with one Hg(1)S4 tetrahedra, corners with two equivalent Cu(1)S4 tetrahedra, corners with two equivalent Cu(3)S4 tetrahedra, corners with three equivalent Hg(2)S4 tetrahedra, and corners with four equivalent Sn(2)S4 tetrahedra. The Cu(3)-S(2) bond length is 2.30 Å. The Cu(3)-S(3) bond length is 2.30 Å. Both Cu(3)-S(7) bond lengths are 2.30 Å. In the fourth Cu site, Cu(4) is bonded to one S(1), one S(10), one S(4), and one S(9) atom to form CuS4 tetrahedra that share  a cornercorner with one Hg(1)S4 tetrahedra,  a cornercorner with one Sn(3)S4 tetrahedra, corners with two equivalent Cu(2)S4 tetrahedra, corners with two equivalent Cu(5)S4 tetrahedra, corners with three equivalent Zn(1)S4 tetrahedra, and corners with three equivalent Sn(1)S4 tetrahedra. The Cu(4)-S(1) bond length is 2.34 Å. The Cu(4)-S(10) bond length is 2.35 Å. The Cu(4)-S(4) bond length is 2.32 Å. The Cu(4)-S(9) bond length is 2.34 Å. In the fifth Cu site, Cu(5) is bonded to one S(10), one S(9), and two equivalent S(5) atoms to form CuS4 tetrahedra that share  a cornercorner with one Sn(1)S4 tetrahedra, corners with two equivalent Cu(4)S4 tetrahedra, corners with two equivalent Cu(5)S4 tetrahedra, corners with three equivalent Sn(3)S4 tetrahedra, and corners with four equivalent Zn(1)S4 tetrahedra. The Cu(5)-S(10) bond length is 2.35 Å. The Cu(5)-S(9) bond length is 2.35 Å. Both Cu(5)-S(5) bond lengths are 2.35 Å. There are two inequivalent Hg sites. In the first Hg site, Hg(1) is bonded to one S(2), one S(4), one S(6), and one S(8) atom to form HgS4 tetrahedra that share  a cornercorner with one Cu(3)S4 tetrahedra,  a cornercorner with one Cu(4)S4 tetrahedra, corners with two equivalent Sn(1)S4 tetrahedra, corners with two equivalent Sn(2)S4 tetrahedra, corners with three equivalent Cu(1)S4 tetrahedra, and corners with three equivalent Cu(2)S4 tetrahedra. The Hg(1)-S(2) bond length is 2.58 Å. The Hg(1)-S(4) bond length is 2.59 Å. The Hg(1)-S(6) bond length is 2.59 Å. The Hg(1)-S(8) bond length is 2.58 Å. In the second Hg site, Hg(2) is bonded to two equivalent S(3) and two equivalent S(7) atoms to form HgS4 tetrahedra that share corners with two equivalent Cu(1)S4 tetrahedra, corners with four equivalent Sn(2)S4 tetrahedra, and corners with six equivalent Cu(3)S4 tetrahedra. Both Hg(2)-S(3) bond lengths are 2.58 Å. Both Hg(2)-S(7) bond lengths are 2.57 Å. Zn(1) is bonded to one S(1), one S(10), one S(5), and one S(9) atom to form ZnS4 tetrahedra that share  a cornercorner with one Cu(2)S4 tetrahedra, corners with two equivalent Sn(1)S4 tetrahedra, corners with two equivalent Sn(3)S4 tetrahedra, corners with three equivalent Cu(4)S4 tetrahedra, and corners with four equivalent Cu(5)S4 tetrahedra. The Zn(1)-S(1) bond length is 2.40 Å. The Zn(1)-S(10) bond length is 2.41 Å. The Zn(1)-S(5) bond length is 2.41 Å. The Zn(1)-S(9) bond length is 2.40 Å. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one S(1), one S(4), one S(6), and one S(9) atom to form SnS4 tetrahedra that share  a cornercorner with one Cu(1)S4 tetrahedra,  a cornercorner with one Cu(5)S4 tetrahedra, corners with two equivalent Hg(1)S4 tetrahedra, corners with two equivalent Zn(1)S4 tetrahedra, corners with three equivalent Cu(2)S4 tetrahedra, and corners with three equivalent Cu(4)S4 tetrahedra. The Sn(1)-S(1) bond length is 2.48 Å. The Sn(1)-S(4) bond length is 2.47 Å. The Sn(1)-S(6) bond length is 2.47 Å. The Sn(1)-S(9) bond length is 2.48 Å. In the second Sn site, Sn(2) is bonded to one S(2), one S(3), one S(7), and one S(8) atom to form SnS4 tetrahedra that share  a cornercorner with one Cu(2)S4 tetrahedra, corners with two equivalent Hg(1)S4 tetrahedra, corners with two equivalent Hg(2)S4 tetrahedra, corners with three equivalent Cu(1)S4 tetrahedra, and corners with four equivalent Cu(3)S4 tetrahedra. The Sn(2)-S(2) bond length is 2.46 Å. The Sn(2)-S(3) bond length is 2.46 Å. The Sn(2)-S(7) bond length is 2.46 Å. The Sn(2)-S(8) bond length is 2.47 Å. In the third Sn site, Sn(3) is bonded to two equivalent S(10) and two equivalent S(5) atoms to form SnS4 tetrahedra that share corners with two equivalent Cu(4)S4 tetrahedra, corners with four equivalent Zn(1)S4 tetrahedra, and corners with six equivalent Cu(5)S4 tetrahedra. Both Sn(3)-S(10) bond lengths are 2.49 Å. Both Sn(3)-S(5) bond lengths are 2.50 Å. There are ten inequivalent S sites. In the first S site, S(1) is bonded to one Cu(2), one Cu(4), one Zn(1), and one Sn(1) atom to form SZnCu2Sn tetrahedra that share  a cornercorner with one S(8)Cu2SnHg tetrahedra,  a cornercorner with one S(5)ZnCu2Sn tetrahedra, corners with two equivalent S(6)Cu2SnHg tetrahedra, corners with two equivalent S(10)ZnCu2Sn tetrahedra, corners with three equivalent S(4)Cu2SnHg tetrahedra, and corners with three equivalent S(9)ZnCu2Sn tetrahedra. In the second S site, S(2) is bonded to one Cu(1), one Cu(3), one Hg(1), and one Sn(2) atom to form corner-sharing SCu2SnHg tetrahedra. In the third S site, S(3) is bonded to one Cu(1), one Cu(3), one Hg(2), and one Sn(2) atom to form corner-sharing SCu2SnHg tetrahedra. In the fourth S site, S(4) is bonded to one Cu(2), one Cu(4), one Hg(1), and one Sn(1) atom to form SCu2SnHg tetrahedra that share  a cornercorner with one S(2)Cu2SnHg tetrahedra,  a cornercorner with one S(10)ZnCu2Sn tetrahedra, corners with two equivalent S(8)Cu2SnHg tetrahedra, corners with two equivalent S(9)ZnCu2Sn tetrahedra, corners with three equivalent S(6)Cu2SnHg tetrahedra, and corners with three equivalent S(1)ZnCu2Sn tetrahedra. In the fifth S site, S(5) is bonded to two equivalent Cu(5), one Zn(1), and one Sn(3) atom to form corner-sharing SZnCu2Sn tetrahedra. In the sixth S site, S(6) is bonded to one Cu(1), one Cu(2), one Hg(1), and one Sn(1) atom to form SCu2SnHg tetrahedra that share  a cornercorner with one S(3)Cu2SnHg tetrahedra,  a cornercorner with one S(9)ZnCu2Sn tetrahedra, corners with two equivalent S(2)Cu2SnHg tetrahedra, corners with two equivalent S(1)ZnCu2Sn tetrahedra, corners with three equivalent S(4)Cu2SnHg tetrahedra, and corners with three equivalent S(8)Cu2SnHg tetrahedra. In the seventh S site, S(7) is bonded to two equivalent Cu(3), one Hg(2), and one Sn(2) atom to form corner-sharing SCu2SnHg tetrahedra. In the eighth S site, S(8) is bonded to one Cu(1), one Cu(2), one Hg(1), and one Sn(2) atom to form SCu2SnHg tetrahedra that share  a cornercorner with one S(7)Cu2SnHg tetrahedra,  a cornercorner with one S(1)ZnCu2Sn tetrahedra, corners with two equivalent S(3)Cu2SnHg tetrahedra, corners with two equivalent S(4)Cu2SnHg tetrahedra, corners with three equivalent S(2)Cu2SnHg tetrahedra, and corners with three equivalent S(6)Cu2SnHg tetrahedra. In the ninth S site, S(9) is bonded to one Cu(4), one Cu(5), one Zn(1), and one Sn(1) atom to form SZnCu2Sn tetrahedra that share  a cornercorner with one S(6)Cu2SnHg tetrahedra, corners with two equivalent S(4)Cu2SnHg tetrahedra, corners with three equivalent S(1)ZnCu2Sn tetrahedra, corners with three equivalent S(10)ZnCu2Sn tetrahedra, and corners with three equivalent S(5)ZnCu2Sn tetrahedra. In the tenth S site, S(10) is bonded to one Cu(4), one Cu(5), one Zn(1), and one Sn(3) atom to form SZnCu2Sn tetrahedra that share  a cornercorner with one S(4)Cu2SnHg tetrahedra,  a cornercorner with one S(10)ZnCu2Sn tetrahedra, corners with two equivalent S(1)ZnCu2Sn tetrahedra, corners with three equivalent S(9)ZnCu2Sn tetrahedra, and corners with five equivalent S(5)ZnCu2Sn tetrahedra.