LiDy2Mn4O8 crystallizes in the triclinic P1 space group. Li(1) is bonded to one Mn(1), one Mn(4), one O(1), one O(5), one O(6), and one O(8) atom to form distorted LiMn2O4 tetrahedra that share corners with four equivalent Dy(2)O4 tetrahedra and  an edgeedge with one Mn(2)O5 square pyramid. There are two inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to one O(2), one O(3), one O(4), and one O(7) atom to form DyO4 tetrahedra that share corners with three equivalent Mn(2)O5 square pyramids. In the second Dy site, Dy(2) is bonded to one O(1), one O(5), one O(6), and one O(8) atom to form DyO4 tetrahedra that share corners with two equivalent Mn(2)O5 square pyramids and corners with four equivalent Li(1)Mn2O4 tetrahedra. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 7-coordinate geometry to one Li(1), one O(1), one O(2), one O(4), one O(6), one O(7), and one O(8) atom. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(7), and one O(8) atom to form distorted MnO5 square pyramids that share corners with two equivalent Dy(2)O4 tetrahedra, corners with three equivalent Dy(1)O4 tetrahedra, and  an edgeedge with one Li(1)Mn2O4 tetrahedra. In the third Mn site, Mn(3) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(5), one O(6), and one O(7) atom. In the fourth Mn site, Mn(4) is bonded in a 6-coordinate geometry to one Li(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(1), one Dy(2), one Mn(1), and one Mn(2) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(1), one Mn(2), and one Mn(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(2), one Mn(3), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(1), one Mn(3), and one Mn(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Li(1), one Dy(2), one Mn(3), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Li(1), one Dy(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(1), one Mn(2), and one Mn(3) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(1), one Dy(2), one Mn(1), and one Mn(2) atom.
LiDy2Mn4O8 crystallizes in the triclinic P1 space group. Li(1) is bonded to one Mn(1), one Mn(4), one O(1), one O(5), one O(6), and one O(8) atom to form distorted LiMn2O4 tetrahedra that share corners with four equivalent Dy(2)O4 tetrahedra and  an edgeedge with one Mn(2)O5 square pyramid. The Li(1)-Mn(1) bond length is 2.30 Å. The Li(1)-Mn(4) bond length is 2.27 Å. The Li(1)-O(1) bond length is 1.95 Å. The Li(1)-O(5) bond length is 1.84 Å. The Li(1)-O(6) bond length is 1.92 Å. The Li(1)-O(8) bond length is 1.90 Å. There are two inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to one O(2), one O(3), one O(4), and one O(7) atom to form DyO4 tetrahedra that share corners with three equivalent Mn(2)O5 square pyramids. The Dy(1)-O(2) bond length is 2.24 Å. The Dy(1)-O(3) bond length is 2.16 Å. The Dy(1)-O(4) bond length is 2.16 Å. The Dy(1)-O(7) bond length is 2.26 Å. In the second Dy site, Dy(2) is bonded to one O(1), one O(5), one O(6), and one O(8) atom to form DyO4 tetrahedra that share corners with two equivalent Mn(2)O5 square pyramids and corners with four equivalent Li(1)Mn2O4 tetrahedra. The Dy(2)-O(1) bond length is 2.25 Å. The Dy(2)-O(5) bond length is 2.12 Å. The Dy(2)-O(6) bond length is 2.21 Å. The Dy(2)-O(8) bond length is 2.22 Å. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 7-coordinate geometry to one Li(1), one O(1), one O(2), one O(4), one O(6), one O(7), and one O(8) atom. The Mn(1)-O(1) bond length is 2.24 Å. The Mn(1)-O(2) bond length is 2.21 Å. The Mn(1)-O(4) bond length is 2.23 Å. The Mn(1)-O(6) bond length is 2.54 Å. The Mn(1)-O(7) bond length is 2.18 Å. The Mn(1)-O(8) bond length is 2.25 Å. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(7), and one O(8) atom to form distorted MnO5 square pyramids that share corners with two equivalent Dy(2)O4 tetrahedra, corners with three equivalent Dy(1)O4 tetrahedra, and  an edgeedge with one Li(1)Mn2O4 tetrahedra. The Mn(2)-O(1) bond length is 1.98 Å. The Mn(2)-O(2) bond length is 2.00 Å. The Mn(2)-O(3) bond length is 2.17 Å. The Mn(2)-O(7) bond length is 1.98 Å. The Mn(2)-O(8) bond length is 1.98 Å. In the third Mn site, Mn(3) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(5), one O(6), and one O(7) atom. The Mn(3)-O(3) bond length is 2.18 Å. The Mn(3)-O(4) bond length is 2.12 Å. The Mn(3)-O(5) bond length is 2.20 Å. The Mn(3)-O(6) bond length is 2.18 Å. The Mn(3)-O(7) bond length is 2.21 Å. In the fourth Mn site, Mn(4) is bonded in a 6-coordinate geometry to one Li(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. The Mn(4)-O(2) bond length is 2.15 Å. The Mn(4)-O(3) bond length is 2.18 Å. The Mn(4)-O(4) bond length is 2.12 Å. The Mn(4)-O(5) bond length is 2.18 Å. The Mn(4)-O(6) bond length is 2.17 Å. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(1), one Dy(2), one Mn(1), and one Mn(2) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(1), one Mn(2), and one Mn(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(2), one Mn(3), and one Mn(4) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(1), one Mn(3), and one Mn(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Li(1), one Dy(2), one Mn(3), and one Mn(4) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one Li(1), one Dy(2), one Mn(1), one Mn(3), and one Mn(4) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Dy(1), one Mn(1), one Mn(2), and one Mn(3) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(1), one Dy(2), one Mn(1), and one Mn(2) atom.