Dy4N2Te3 crystallizes in the monoclinic P2_1/c space group. There are four inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(2), one Te(3), and two equivalent Te(1) atoms. In the second Dy site, Dy(2) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(2), one Te(3), and two equivalent Te(1) atoms. In the third Dy site, Dy(3) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(1), one Te(3), and two equivalent Te(2) atoms. In the fourth Dy site, Dy(4) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(1), one Te(2), and two equivalent Te(3) atoms. There are two inequivalent N sites. In the first N site, N(2) is bonded to one Dy(1), one Dy(2), one Dy(3), and one Dy(4) atom to form NDy4 tetrahedra that share corners with six equivalent Te(1)Dy6 octahedra, corners with three equivalent Te(3)Dy5 trigonal bipyramids, edges with two equivalent N(1)Dy4 tetrahedra, and  an edgeedge with one Te(3)Dy5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 24-79°. In the second N site, N(1) is bonded to one Dy(1), one Dy(2), one Dy(3), and one Dy(4) atom to form NDy4 tetrahedra that share corners with five equivalent Te(3)Dy5 trigonal bipyramids, edges with three equivalent Te(1)Dy6 octahedra, and edges with two equivalent N(2)Dy4 tetrahedra. There are three inequivalent Te sites. In the first Te site, Te(1) is bonded to one Dy(3), one Dy(4), two equivalent Dy(1), and two equivalent Dy(2) atoms to form distorted TeDy6 octahedra that share corners with six equivalent N(2)Dy4 tetrahedra, corners with three equivalent Te(3)Dy5 trigonal bipyramids, edges with two equivalent Te(1)Dy6 octahedra, edges with three equivalent N(1)Dy4 tetrahedra, and edges with two equivalent Te(3)Dy5 trigonal bipyramids. In the second Te site, Te(2) is bonded in a 5-coordinate geometry to one Dy(1), one Dy(2), one Dy(4), and two equivalent Dy(3) atoms. In the third Te site, Te(3) is bonded to one Dy(1), one Dy(2), one Dy(3), and two equivalent Dy(4) atoms to form distorted TeDy5 trigonal bipyramids that share corners with three equivalent Te(1)Dy6 octahedra, corners with three equivalent N(2)Dy4 tetrahedra, corners with five equivalent N(1)Dy4 tetrahedra, edges with two equivalent Te(1)Dy6 octahedra,  an edgeedge with one N(2)Dy4 tetrahedra, and  an edgeedge with one Te(3)Dy5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 24-74°.
Dy4N2Te3 crystallizes in the monoclinic P2_1/c space group. There are four inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(2), one Te(3), and two equivalent Te(1) atoms. The Dy(1)-N(1) bond length is 2.21 Å. The Dy(1)-N(2) bond length is 2.24 Å. The Dy(1)-Te(2) bond length is 3.35 Å. The Dy(1)-Te(3) bond length is 3.11 Å. There is one shorter (3.13 Å) and one longer (3.36 Å) Dy(1)-Te(1) bond length. In the second Dy site, Dy(2) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(2), one Te(3), and two equivalent Te(1) atoms. The Dy(2)-N(1) bond length is 2.22 Å. The Dy(2)-N(2) bond length is 2.28 Å. The Dy(2)-Te(2) bond length is 3.06 Å. The Dy(2)-Te(3) bond length is 3.27 Å. There is one shorter (3.22 Å) and one longer (3.49 Å) Dy(2)-Te(1) bond length. In the third Dy site, Dy(3) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(1), one Te(3), and two equivalent Te(2) atoms. The Dy(3)-N(1) bond length is 2.22 Å. The Dy(3)-N(2) bond length is 2.22 Å. The Dy(3)-Te(1) bond length is 3.47 Å. The Dy(3)-Te(3) bond length is 3.15 Å. There is one shorter (3.08 Å) and one longer (3.28 Å) Dy(3)-Te(2) bond length. In the fourth Dy site, Dy(4) is bonded in a distorted L-shaped geometry to one N(1), one N(2), one Te(1), one Te(2), and two equivalent Te(3) atoms. The Dy(4)-N(1) bond length is 2.23 Å. The Dy(4)-N(2) bond length is 2.23 Å. The Dy(4)-Te(1) bond length is 3.23 Å. The Dy(4)-Te(2) bond length is 3.17 Å. There is one shorter (3.07 Å) and one longer (3.35 Å) Dy(4)-Te(3) bond length. There are two inequivalent N sites. In the first N site, N(2) is bonded to one Dy(1), one Dy(2), one Dy(3), and one Dy(4) atom to form NDy4 tetrahedra that share corners with six equivalent Te(1)Dy6 octahedra, corners with three equivalent Te(3)Dy5 trigonal bipyramids, edges with two equivalent N(1)Dy4 tetrahedra, and  an edgeedge with one Te(3)Dy5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 24-79°. In the second N site, N(1) is bonded to one Dy(1), one Dy(2), one Dy(3), and one Dy(4) atom to form NDy4 tetrahedra that share corners with five equivalent Te(3)Dy5 trigonal bipyramids, edges with three equivalent Te(1)Dy6 octahedra, and edges with two equivalent N(2)Dy4 tetrahedra. There are three inequivalent Te sites. In the first Te site, Te(1) is bonded to one Dy(3), one Dy(4), two equivalent Dy(1), and two equivalent Dy(2) atoms to form distorted TeDy6 octahedra that share corners with six equivalent N(2)Dy4 tetrahedra, corners with three equivalent Te(3)Dy5 trigonal bipyramids, edges with two equivalent Te(1)Dy6 octahedra, edges with three equivalent N(1)Dy4 tetrahedra, and edges with two equivalent Te(3)Dy5 trigonal bipyramids. In the second Te site, Te(2) is bonded in a 5-coordinate geometry to one Dy(1), one Dy(2), one Dy(4), and two equivalent Dy(3) atoms. In the third Te site, Te(3) is bonded to one Dy(1), one Dy(2), one Dy(3), and two equivalent Dy(4) atoms to form distorted TeDy5 trigonal bipyramids that share corners with three equivalent Te(1)Dy6 octahedra, corners with three equivalent N(2)Dy4 tetrahedra, corners with five equivalent N(1)Dy4 tetrahedra, edges with two equivalent Te(1)Dy6 octahedra,  an edgeedge with one N(2)Dy4 tetrahedra, and  an edgeedge with one Te(3)Dy5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 24-74°.