Nd4(LuS2)11 crystallizes in the monoclinic C2/m space group. There are six inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one S(2), one S(9), two equivalent S(8), and three equivalent S(11) atoms to form distorted LuS7 pentagonal bipyramids that share  a cornercorner with one Lu(4)S6 octahedra, corners with two equivalent Lu(3)S6 octahedra, edges with two equivalent Lu(4)S6 octahedra, and edges with four equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 39-50°. In the second Lu site, Lu(2) is bonded to one S(4), one S(7), two equivalent S(1), and two equivalent S(10) atoms to form a mixture of corner and edge-sharing LuS6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. In the third Lu site, Lu(3) is bonded to one S(3), one S(6), two equivalent S(5), and two equivalent S(9) atoms to form LuS6 octahedra that share corners with three equivalent Lu(4)S6 octahedra, corners with two equivalent Lu(1)S7 pentagonal bipyramids, edges with two equivalent Lu(3)S6 octahedra, and edges with two equivalent Lu(5)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. In the fourth Lu site, Lu(4) is bonded to one S(11), two equivalent S(2), and three equivalent S(3) atoms to form LuS6 octahedra that share corners with three equivalent Lu(3)S6 octahedra,  a cornercorner with one Lu(1)S7 pentagonal bipyramid, edges with four equivalent Lu(4)S6 octahedra, and edges with two equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 50-63°. In the fifth Lu site, Lu(5) is bonded to one S(10), one S(5), two equivalent S(4), and two equivalent S(6) atoms to form a mixture of corner and edge-sharing LuS6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. In the sixth Lu site, Lu(6) is bonded to two equivalent S(10) and four equivalent S(7) atoms to form a mixture of corner and edge-sharing LuS6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are two inequivalent Nd sites. In the first Nd site, Nd(1) is bonded in a 8-coordinate geometry to one S(1), one S(9), two equivalent S(6), two equivalent S(7), and two equivalent S(8) atoms. In the second Nd site, Nd(2) is bonded in a 8-coordinate geometry to one S(4), one S(8), two equivalent S(1), two equivalent S(2), and two equivalent S(5) atoms. There are eleven inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Lu(2), one Nd(1), and two equivalent Nd(2) atoms to form distorted SNd3Lu2 trigonal bipyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(6)Nd2Lu3 square pyramids, corners with two equivalent S(2)Nd2Lu3 trigonal bipyramids,  a cornercorner with one S(9)NdLu3 trigonal pyramid,  an edgeedge with one S(5)Nd2Lu3 square pyramid, edges with two equivalent S(7)Nd2Lu3 square pyramids,  an edgeedge with one S(2)Nd2Lu3 trigonal bipyramid, edges with two equivalent S(1)Nd3Lu2 trigonal bipyramids, and edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids. In the second S site, S(2) is bonded to one Lu(1), two equivalent Lu(4), and two equivalent Nd(2) atoms to form SNd2Lu3 trigonal bipyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(1)Nd3Lu2 trigonal bipyramids,  a cornercorner with one S(11)Lu4 trigonal pyramid,  a cornercorner with one S(9)NdLu3 trigonal pyramid,  an edgeedge with one S(5)Nd2Lu3 square pyramid,  an edgeedge with one S(1)Nd3Lu2 trigonal bipyramid, edges with two equivalent S(2)Nd2Lu3 trigonal bipyramids, edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids, and edges with two equivalent S(11)Lu4 trigonal pyramids. In the third S site, S(3) is bonded in a rectangular see-saw-like geometry to one Lu(3) and three equivalent Lu(4) atoms. In the fourth S site, S(4) is bonded in a 3-coordinate geometry to one Lu(2), two equivalent Lu(5), and one Nd(2) atom. In the fifth S site, S(5) is bonded to one Lu(5), two equivalent Lu(3), and two equivalent Nd(2) atoms to form SNd2Lu3 square pyramids that share corners with two equivalent S(2)Nd2Lu3 trigonal bipyramids, corners with two equivalent S(1)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(8)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(9)NdLu3 trigonal pyramids, edges with two equivalent S(5)Nd2Lu3 square pyramids, edges with two equivalent S(6)Nd2Lu3 square pyramids,  an edgeedge with one S(2)Nd2Lu3 trigonal bipyramid,  an edgeedge with one S(1)Nd3Lu2 trigonal bipyramid, and  an edgeedge with one S(9)NdLu3 trigonal pyramid. In the sixth S site, S(6) is bonded to one Lu(3), two equivalent Lu(5), and two equivalent Nd(1) atoms to form SNd2Lu3 square pyramids that share corners with two equivalent S(7)Nd2Lu3 square pyramids, corners with two equivalent S(1)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(8)Nd3Lu2 trigonal bipyramids,  an edgeedge with one S(7)Nd2Lu3 square pyramid, edges with two equivalent S(5)Nd2Lu3 square pyramids, edges with two equivalent S(6)Nd2Lu3 square pyramids,  an edgeedge with one S(8)Nd3Lu2 trigonal bipyramid, and edges with two equivalent S(9)NdLu3 trigonal pyramids. In the seventh S site, S(7) is bonded to one Lu(2), two equivalent Lu(6), and two equivalent Nd(1) atoms to form SNd2Lu3 square pyramids that share corners with two equivalent S(6)Nd2Lu3 square pyramids, corners with two equivalent S(7)Nd2Lu3 square pyramids, corners with two equivalent S(8)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(9)NdLu3 trigonal pyramids,  an edgeedge with one S(6)Nd2Lu3 square pyramid, edges with three equivalent S(7)Nd2Lu3 square pyramids,  an edgeedge with one S(8)Nd3Lu2 trigonal bipyramid, and edges with two equivalent S(1)Nd3Lu2 trigonal bipyramids. In the eighth S site, S(8) is bonded to two equivalent Lu(1), one Nd(2), and two equivalent Nd(1) atoms to form distorted SNd3Lu2 trigonal bipyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(6)Nd2Lu3 square pyramids, corners with two equivalent S(7)Nd2Lu3 square pyramids, corners with four equivalent S(11)Lu4 trigonal pyramids,  an edgeedge with one S(6)Nd2Lu3 square pyramid,  an edgeedge with one S(7)Nd2Lu3 square pyramid, edges with two equivalent S(2)Nd2Lu3 trigonal bipyramids, edges with two equivalent S(1)Nd3Lu2 trigonal bipyramids, edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids,  an edgeedge with one S(11)Lu4 trigonal pyramid, and edges with two equivalent S(9)NdLu3 trigonal pyramids. In the ninth S site, S(9) is bonded to one Lu(1), two equivalent Lu(3), and one Nd(1) atom to form SNdLu3 trigonal pyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(7)Nd2Lu3 square pyramids,  a cornercorner with one S(2)Nd2Lu3 trigonal bipyramid,  a cornercorner with one S(1)Nd3Lu2 trigonal bipyramid, corners with two equivalent S(9)NdLu3 trigonal pyramids, corners with three equivalent S(11)Lu4 trigonal pyramids,  an edgeedge with one S(5)Nd2Lu3 square pyramid, edges with two equivalent S(6)Nd2Lu3 square pyramids, and edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids. In the tenth S site, S(10) is bonded in a rectangular see-saw-like geometry to one Lu(5), one Lu(6), and two equivalent Lu(2) atoms. In the eleventh S site, S(11) is bonded to one Lu(4) and three equivalent Lu(1) atoms to form distorted SLu4 trigonal pyramids that share  a cornercorner with one S(2)Nd2Lu3 trigonal bipyramid, corners with four equivalent S(8)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(11)Lu4 trigonal pyramids, corners with three equivalent S(9)NdLu3 trigonal pyramids,  an edgeedge with one S(8)Nd3Lu2 trigonal bipyramid, edges with two equivalent S(2)Nd2Lu3 trigonal bipyramids, and edges with two equivalent S(11)Lu4 trigonal pyramids.
Nd4(LuS2)11 crystallizes in the monoclinic C2/m space group. There are six inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one S(2), one S(9), two equivalent S(8), and three equivalent S(11) atoms to form distorted LuS7 pentagonal bipyramids that share  a cornercorner with one Lu(4)S6 octahedra, corners with two equivalent Lu(3)S6 octahedra, edges with two equivalent Lu(4)S6 octahedra, and edges with four equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 39-50°. The Lu(1)-S(2) bond length is 2.85 Å. The Lu(1)-S(9) bond length is 2.72 Å. Both Lu(1)-S(8) bond lengths are 2.84 Å. There are two shorter (2.66 Å) and one longer (2.82 Å) Lu(1)-S(11) bond length. In the second Lu site, Lu(2) is bonded to one S(4), one S(7), two equivalent S(1), and two equivalent S(10) atoms to form a mixture of corner and edge-sharing LuS6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. The Lu(2)-S(4) bond length is 2.61 Å. The Lu(2)-S(7) bond length is 2.71 Å. Both Lu(2)-S(1) bond lengths are 2.74 Å. Both Lu(2)-S(10) bond lengths are 2.68 Å. In the third Lu site, Lu(3) is bonded to one S(3), one S(6), two equivalent S(5), and two equivalent S(9) atoms to form LuS6 octahedra that share corners with three equivalent Lu(4)S6 octahedra, corners with two equivalent Lu(1)S7 pentagonal bipyramids, edges with two equivalent Lu(3)S6 octahedra, and edges with two equivalent Lu(5)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. The Lu(3)-S(3) bond length is 2.67 Å. The Lu(3)-S(6) bond length is 2.68 Å. Both Lu(3)-S(5) bond lengths are 2.75 Å. Both Lu(3)-S(9) bond lengths are 2.63 Å. In the fourth Lu site, Lu(4) is bonded to one S(11), two equivalent S(2), and three equivalent S(3) atoms to form LuS6 octahedra that share corners with three equivalent Lu(3)S6 octahedra,  a cornercorner with one Lu(1)S7 pentagonal bipyramid, edges with four equivalent Lu(4)S6 octahedra, and edges with two equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 50-63°. The Lu(4)-S(11) bond length is 2.63 Å. Both Lu(4)-S(2) bond lengths are 2.72 Å. There are two shorter (2.68 Å) and one longer (2.74 Å) Lu(4)-S(3) bond length. In the fifth Lu site, Lu(5) is bonded to one S(10), one S(5), two equivalent S(4), and two equivalent S(6) atoms to form a mixture of corner and edge-sharing LuS6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. The Lu(5)-S(10) bond length is 2.73 Å. The Lu(5)-S(5) bond length is 2.70 Å. Both Lu(5)-S(4) bond lengths are 2.62 Å. Both Lu(5)-S(6) bond lengths are 2.73 Å. In the sixth Lu site, Lu(6) is bonded to two equivalent S(10) and four equivalent S(7) atoms to form a mixture of corner and edge-sharing LuS6 octahedra. The corner-sharing octahedral tilt angles are 55°. Both Lu(6)-S(10) bond lengths are 2.71 Å. All Lu(6)-S(7) bond lengths are 2.69 Å. There are two inequivalent Nd sites. In the first Nd site, Nd(1) is bonded in a 8-coordinate geometry to one S(1), one S(9), two equivalent S(6), two equivalent S(7), and two equivalent S(8) atoms. The Nd(1)-S(1) bond length is 2.99 Å. The Nd(1)-S(9) bond length is 2.92 Å. Both Nd(1)-S(6) bond lengths are 3.03 Å. Both Nd(1)-S(7) bond lengths are 3.01 Å. Both Nd(1)-S(8) bond lengths are 2.91 Å. In the second Nd site, Nd(2) is bonded in a 8-coordinate geometry to one S(4), one S(8), two equivalent S(1), two equivalent S(2), and two equivalent S(5) atoms. The Nd(2)-S(4) bond length is 3.41 Å. The Nd(2)-S(8) bond length is 2.95 Å. Both Nd(2)-S(1) bond lengths are 2.90 Å. Both Nd(2)-S(2) bond lengths are 2.96 Å. Both Nd(2)-S(5) bond lengths are 2.98 Å. There are eleven inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Lu(2), one Nd(1), and two equivalent Nd(2) atoms to form distorted SNd3Lu2 trigonal bipyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(6)Nd2Lu3 square pyramids, corners with two equivalent S(2)Nd2Lu3 trigonal bipyramids,  a cornercorner with one S(9)NdLu3 trigonal pyramid,  an edgeedge with one S(5)Nd2Lu3 square pyramid, edges with two equivalent S(7)Nd2Lu3 square pyramids,  an edgeedge with one S(2)Nd2Lu3 trigonal bipyramid, edges with two equivalent S(1)Nd3Lu2 trigonal bipyramids, and edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids. In the second S site, S(2) is bonded to one Lu(1), two equivalent Lu(4), and two equivalent Nd(2) atoms to form SNd2Lu3 trigonal bipyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(1)Nd3Lu2 trigonal bipyramids,  a cornercorner with one S(11)Lu4 trigonal pyramid,  a cornercorner with one S(9)NdLu3 trigonal pyramid,  an edgeedge with one S(5)Nd2Lu3 square pyramid,  an edgeedge with one S(1)Nd3Lu2 trigonal bipyramid, edges with two equivalent S(2)Nd2Lu3 trigonal bipyramids, edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids, and edges with two equivalent S(11)Lu4 trigonal pyramids. In the third S site, S(3) is bonded in a rectangular see-saw-like geometry to one Lu(3) and three equivalent Lu(4) atoms. In the fourth S site, S(4) is bonded in a 3-coordinate geometry to one Lu(2), two equivalent Lu(5), and one Nd(2) atom. In the fifth S site, S(5) is bonded to one Lu(5), two equivalent Lu(3), and two equivalent Nd(2) atoms to form SNd2Lu3 square pyramids that share corners with two equivalent S(2)Nd2Lu3 trigonal bipyramids, corners with two equivalent S(1)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(8)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(9)NdLu3 trigonal pyramids, edges with two equivalent S(5)Nd2Lu3 square pyramids, edges with two equivalent S(6)Nd2Lu3 square pyramids,  an edgeedge with one S(2)Nd2Lu3 trigonal bipyramid,  an edgeedge with one S(1)Nd3Lu2 trigonal bipyramid, and  an edgeedge with one S(9)NdLu3 trigonal pyramid. In the sixth S site, S(6) is bonded to one Lu(3), two equivalent Lu(5), and two equivalent Nd(1) atoms to form SNd2Lu3 square pyramids that share corners with two equivalent S(7)Nd2Lu3 square pyramids, corners with two equivalent S(1)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(8)Nd3Lu2 trigonal bipyramids,  an edgeedge with one S(7)Nd2Lu3 square pyramid, edges with two equivalent S(5)Nd2Lu3 square pyramids, edges with two equivalent S(6)Nd2Lu3 square pyramids,  an edgeedge with one S(8)Nd3Lu2 trigonal bipyramid, and edges with two equivalent S(9)NdLu3 trigonal pyramids. In the seventh S site, S(7) is bonded to one Lu(2), two equivalent Lu(6), and two equivalent Nd(1) atoms to form SNd2Lu3 square pyramids that share corners with two equivalent S(6)Nd2Lu3 square pyramids, corners with two equivalent S(7)Nd2Lu3 square pyramids, corners with two equivalent S(8)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(9)NdLu3 trigonal pyramids,  an edgeedge with one S(6)Nd2Lu3 square pyramid, edges with three equivalent S(7)Nd2Lu3 square pyramids,  an edgeedge with one S(8)Nd3Lu2 trigonal bipyramid, and edges with two equivalent S(1)Nd3Lu2 trigonal bipyramids. In the eighth S site, S(8) is bonded to two equivalent Lu(1), one Nd(2), and two equivalent Nd(1) atoms to form distorted SNd3Lu2 trigonal bipyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(6)Nd2Lu3 square pyramids, corners with two equivalent S(7)Nd2Lu3 square pyramids, corners with four equivalent S(11)Lu4 trigonal pyramids,  an edgeedge with one S(6)Nd2Lu3 square pyramid,  an edgeedge with one S(7)Nd2Lu3 square pyramid, edges with two equivalent S(2)Nd2Lu3 trigonal bipyramids, edges with two equivalent S(1)Nd3Lu2 trigonal bipyramids, edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids,  an edgeedge with one S(11)Lu4 trigonal pyramid, and edges with two equivalent S(9)NdLu3 trigonal pyramids. In the ninth S site, S(9) is bonded to one Lu(1), two equivalent Lu(3), and one Nd(1) atom to form SNdLu3 trigonal pyramids that share corners with two equivalent S(5)Nd2Lu3 square pyramids, corners with two equivalent S(7)Nd2Lu3 square pyramids,  a cornercorner with one S(2)Nd2Lu3 trigonal bipyramid,  a cornercorner with one S(1)Nd3Lu2 trigonal bipyramid, corners with two equivalent S(9)NdLu3 trigonal pyramids, corners with three equivalent S(11)Lu4 trigonal pyramids,  an edgeedge with one S(5)Nd2Lu3 square pyramid, edges with two equivalent S(6)Nd2Lu3 square pyramids, and edges with two equivalent S(8)Nd3Lu2 trigonal bipyramids. In the tenth S site, S(10) is bonded in a rectangular see-saw-like geometry to one Lu(5), one Lu(6), and two equivalent Lu(2) atoms. In the eleventh S site, S(11) is bonded to one Lu(4) and three equivalent Lu(1) atoms to form distorted SLu4 trigonal pyramids that share  a cornercorner with one S(2)Nd2Lu3 trigonal bipyramid, corners with four equivalent S(8)Nd3Lu2 trigonal bipyramids, corners with two equivalent S(11)Lu4 trigonal pyramids, corners with three equivalent S(9)NdLu3 trigonal pyramids,  an edgeedge with one S(8)Nd3Lu2 trigonal bipyramid, edges with two equivalent S(2)Nd2Lu3 trigonal bipyramids, and edges with two equivalent S(11)Lu4 trigonal pyramids.