Ho3LaMn8O20 crystallizes in the monoclinic Pm space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to one O(2), one O(3), two equivalent O(13), two equivalent O(6), and two equivalent O(8) atoms. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to one O(2), one O(3), two equivalent O(14), two equivalent O(5), and two equivalent O(7) atoms. In the third Ho site, Ho(3) is bonded in a 8-coordinate geometry to one O(1), one O(4), two equivalent O(14), two equivalent O(6), and two equivalent O(8) atoms. La(1) is bonded in a 8-coordinate geometry to one O(1), one O(4), two equivalent O(13), two equivalent O(5), and two equivalent O(7) atoms. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(9), two equivalent O(14), and two equivalent O(5) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-56°. In the second Mn site, Mn(2) is bonded to one O(10), two equivalent O(14), and two equivalent O(6) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-59°. In the third Mn site, Mn(3) is bonded to one O(11), two equivalent O(13), and two equivalent O(7) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(4)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-57°. In the fourth Mn site, Mn(4) is bonded to one O(12), two equivalent O(13), and two equivalent O(8) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(3)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-60°. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(10), one O(2), one O(7), one O(8), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O5 square pyramid,  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(3)O5 square pyramid,  a cornercorner with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(5)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(12), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O5 square pyramid,  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(3)O5 square pyramid,  a cornercorner with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(6)O6 octahedra. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded to one Ho(3), one La(1), and two equivalent Mn(5) atoms to form distorted OLaHoMn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with two equivalent O(4)LaHoMn2 trigonal pyramids,  an edgeedge with one O(2)Ho2Mn2 trigonal pyramid, and edges with two equivalent O(7)LaHoMn2 trigonal pyramids. In the second O site, O(2) is bonded to one Ho(1), one Ho(2), and two equivalent Mn(5) atoms to form distorted OHo2Mn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(3)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids,  an edgeedge with one O(1)LaHoMn2 trigonal pyramid, and edges with two equivalent O(7)LaHoMn2 trigonal pyramids. In the third O site, O(3) is bonded to one Ho(1), one Ho(2), and two equivalent Mn(6) atoms to form distorted OHo2Mn2 trigonal pyramids that share corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(2)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with two equivalent O(7)LaHoMn2 trigonal pyramids, edges with two equivalent O(5)LaHoMn2 tetrahedra, and  an edgeedge with one O(4)LaHoMn2 trigonal pyramid. In the fourth O site, O(4) is bonded to one Ho(3), one La(1), and two equivalent Mn(6) atoms to form distorted OLaHoMn2 trigonal pyramids that share corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(1)LaHoMn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with two equivalent O(7)LaHoMn2 trigonal pyramids, edges with two equivalent O(5)LaHoMn2 tetrahedra, and  an edgeedge with one O(3)Ho2Mn2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ho(2), one La(1), one Mn(1), and one Mn(6) atom to form distorted OLaHoMn2 tetrahedra that share  a cornercorner with one O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(2)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(1)LaHoMn2 trigonal pyramid, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with four equivalent O(7)LaHoMn2 trigonal pyramids,  an edgeedge with one O(5)LaHoMn2 tetrahedra,  an edgeedge with one O(14)Ho2Mn2 trigonal pyramid,  an edgeedge with one O(3)Ho2Mn2 trigonal pyramid, and  an edgeedge with one O(4)LaHoMn2 trigonal pyramid. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(3), one Mn(2), and one Mn(6) atom. In the seventh O site, O(7) is bonded to one Ho(2), one La(1), one Mn(3), and one Mn(5) atom to form distorted OLaHoMn2 trigonal pyramids that share corners with four equivalent O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(3)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(4)LaHoMn2 trigonal pyramid,  a cornercorner with one O(7)LaHoMn2 trigonal pyramid, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids,  an edgeedge with one O(2)Ho2Mn2 trigonal pyramid,  an edgeedge with one O(1)LaHoMn2 trigonal pyramid,  an edgeedge with one O(13)LaHoMn2 trigonal pyramid, and  an edgeedge with one O(7)LaHoMn2 trigonal pyramid. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(3), one Mn(4), and one Mn(5) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Mn(1) and two equivalent Mn(5) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mn(2) and two equivalent Mn(5) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mn(3) and two equivalent Mn(6) atoms. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Mn(4) and two equivalent Mn(6) atoms. In the thirteenth O site, O(13) is bonded to one Ho(1), one La(1), one Mn(3), and one Mn(4) atom to form distorted OLaHoMn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(2)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(3)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(1)LaHoMn2 trigonal pyramid,  a cornercorner with one O(4)LaHoMn2 trigonal pyramid, corners with two equivalent O(7)LaHoMn2 trigonal pyramids,  an edgeedge with one O(7)LaHoMn2 trigonal pyramid, and edges with two equivalent O(13)LaHoMn2 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Ho(2), one Ho(3), one Mn(1), and one Mn(2) atom to form distorted OHo2Mn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(2)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(3)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(1)LaHoMn2 trigonal pyramid,  a cornercorner with one O(4)LaHoMn2 trigonal pyramid, corners with two equivalent O(7)LaHoMn2 trigonal pyramids,  an edgeedge with one O(5)LaHoMn2 tetrahedra, and edges with two equivalent O(14)Ho2Mn2 trigonal pyramids.
Ho3LaMn8O20 crystallizes in the monoclinic Pm space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to one O(2), one O(3), two equivalent O(13), two equivalent O(6), and two equivalent O(8) atoms. The Ho(1)-O(2) bond length is 2.32 Å. The Ho(1)-O(3) bond length is 2.44 Å. Both Ho(1)-O(13) bond lengths are 2.36 Å. Both Ho(1)-O(6) bond lengths are 2.34 Å. Both Ho(1)-O(8) bond lengths are 2.54 Å. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to one O(2), one O(3), two equivalent O(14), two equivalent O(5), and two equivalent O(7) atoms. The Ho(2)-O(2) bond length is 2.44 Å. The Ho(2)-O(3) bond length is 2.37 Å. Both Ho(2)-O(14) bond lengths are 2.39 Å. Both Ho(2)-O(5) bond lengths are 2.45 Å. Both Ho(2)-O(7) bond lengths are 2.34 Å. In the third Ho site, Ho(3) is bonded in a 8-coordinate geometry to one O(1), one O(4), two equivalent O(14), two equivalent O(6), and two equivalent O(8) atoms. The Ho(3)-O(1) bond length is 2.39 Å. The Ho(3)-O(4) bond length is 2.31 Å. Both Ho(3)-O(14) bond lengths are 2.37 Å. Both Ho(3)-O(6) bond lengths are 2.52 Å. Both Ho(3)-O(8) bond lengths are 2.37 Å. La(1) is bonded in a 8-coordinate geometry to one O(1), one O(4), two equivalent O(13), two equivalent O(5), and two equivalent O(7) atoms. The La(1)-O(1) bond length is 2.43 Å. The La(1)-O(4) bond length is 2.53 Å. Both La(1)-O(13) bond lengths are 2.46 Å. Both La(1)-O(5) bond lengths are 2.48 Å. Both La(1)-O(7) bond lengths are 2.59 Å. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(9), two equivalent O(14), and two equivalent O(5) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-56°. The Mn(1)-O(9) bond length is 2.08 Å. Both Mn(1)-O(14) bond lengths are 1.97 Å. Both Mn(1)-O(5) bond lengths are 1.93 Å. In the second Mn site, Mn(2) is bonded to one O(10), two equivalent O(14), and two equivalent O(6) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-59°. The Mn(2)-O(10) bond length is 2.05 Å. Both Mn(2)-O(14) bond lengths are 1.97 Å. Both Mn(2)-O(6) bond lengths are 1.94 Å. In the third Mn site, Mn(3) is bonded to one O(11), two equivalent O(13), and two equivalent O(7) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(4)O5 square pyramid. The corner-sharing octahedral tilt angles range from 49-57°. The Mn(3)-O(11) bond length is 2.01 Å. Both Mn(3)-O(13) bond lengths are 1.98 Å. Both Mn(3)-O(7) bond lengths are 1.94 Å. In the fourth Mn site, Mn(4) is bonded to one O(12), two equivalent O(13), and two equivalent O(8) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and  an edgeedge with one Mn(3)O5 square pyramid. The corner-sharing octahedral tilt angles range from 48-60°. The Mn(4)-O(12) bond length is 2.08 Å. Both Mn(4)-O(13) bond lengths are 1.96 Å. Both Mn(4)-O(8) bond lengths are 1.94 Å. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(10), one O(2), one O(7), one O(8), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O5 square pyramid,  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(3)O5 square pyramid,  a cornercorner with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(5)O6 octahedra. The Mn(5)-O(1) bond length is 1.96 Å. The Mn(5)-O(10) bond length is 1.90 Å. The Mn(5)-O(2) bond length is 1.97 Å. The Mn(5)-O(7) bond length is 1.96 Å. The Mn(5)-O(8) bond length is 1.94 Å. The Mn(5)-O(9) bond length is 1.91 Å. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(12), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Mn(1)O5 square pyramid,  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Mn(3)O5 square pyramid,  a cornercorner with one Mn(4)O5 square pyramid, and edges with two equivalent Mn(6)O6 octahedra. The Mn(6)-O(11) bond length is 1.89 Å. The Mn(6)-O(12) bond length is 1.91 Å. The Mn(6)-O(3) bond length is 1.97 Å. The Mn(6)-O(4) bond length is 1.96 Å. The Mn(6)-O(5) bond length is 1.95 Å. The Mn(6)-O(6) bond length is 1.94 Å. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded to one Ho(3), one La(1), and two equivalent Mn(5) atoms to form distorted OLaHoMn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with two equivalent O(4)LaHoMn2 trigonal pyramids,  an edgeedge with one O(2)Ho2Mn2 trigonal pyramid, and edges with two equivalent O(7)LaHoMn2 trigonal pyramids. In the second O site, O(2) is bonded to one Ho(1), one Ho(2), and two equivalent Mn(5) atoms to form distorted OHo2Mn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(3)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids,  an edgeedge with one O(1)LaHoMn2 trigonal pyramid, and edges with two equivalent O(7)LaHoMn2 trigonal pyramids. In the third O site, O(3) is bonded to one Ho(1), one Ho(2), and two equivalent Mn(6) atoms to form distorted OHo2Mn2 trigonal pyramids that share corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(2)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with two equivalent O(7)LaHoMn2 trigonal pyramids, edges with two equivalent O(5)LaHoMn2 tetrahedra, and  an edgeedge with one O(4)LaHoMn2 trigonal pyramid. In the fourth O site, O(4) is bonded to one Ho(3), one La(1), and two equivalent Mn(6) atoms to form distorted OLaHoMn2 trigonal pyramids that share corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(1)LaHoMn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with two equivalent O(7)LaHoMn2 trigonal pyramids, edges with two equivalent O(5)LaHoMn2 tetrahedra, and  an edgeedge with one O(3)Ho2Mn2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ho(2), one La(1), one Mn(1), and one Mn(6) atom to form distorted OLaHoMn2 tetrahedra that share  a cornercorner with one O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(2)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(1)LaHoMn2 trigonal pyramid, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids, corners with four equivalent O(7)LaHoMn2 trigonal pyramids,  an edgeedge with one O(5)LaHoMn2 tetrahedra,  an edgeedge with one O(14)Ho2Mn2 trigonal pyramid,  an edgeedge with one O(3)Ho2Mn2 trigonal pyramid, and  an edgeedge with one O(4)LaHoMn2 trigonal pyramid. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(3), one Mn(2), and one Mn(6) atom. In the seventh O site, O(7) is bonded to one Ho(2), one La(1), one Mn(3), and one Mn(5) atom to form distorted OLaHoMn2 trigonal pyramids that share corners with four equivalent O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(3)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(4)LaHoMn2 trigonal pyramid,  a cornercorner with one O(7)LaHoMn2 trigonal pyramid, corners with two equivalent O(14)Ho2Mn2 trigonal pyramids, corners with two equivalent O(13)LaHoMn2 trigonal pyramids,  an edgeedge with one O(2)Ho2Mn2 trigonal pyramid,  an edgeedge with one O(1)LaHoMn2 trigonal pyramid,  an edgeedge with one O(13)LaHoMn2 trigonal pyramid, and  an edgeedge with one O(7)LaHoMn2 trigonal pyramid. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Ho(1), one Ho(3), one Mn(4), and one Mn(5) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Mn(1) and two equivalent Mn(5) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mn(2) and two equivalent Mn(5) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mn(3) and two equivalent Mn(6) atoms. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Mn(4) and two equivalent Mn(6) atoms. In the thirteenth O site, O(13) is bonded to one Ho(1), one La(1), one Mn(3), and one Mn(4) atom to form distorted OLaHoMn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(2)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(3)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(1)LaHoMn2 trigonal pyramid,  a cornercorner with one O(4)LaHoMn2 trigonal pyramid, corners with two equivalent O(7)LaHoMn2 trigonal pyramids,  an edgeedge with one O(7)LaHoMn2 trigonal pyramid, and edges with two equivalent O(13)LaHoMn2 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Ho(2), one Ho(3), one Mn(1), and one Mn(2) atom to form distorted OHo2Mn2 trigonal pyramids that share corners with two equivalent O(5)LaHoMn2 tetrahedra,  a cornercorner with one O(2)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(3)Ho2Mn2 trigonal pyramid,  a cornercorner with one O(1)LaHoMn2 trigonal pyramid,  a cornercorner with one O(4)LaHoMn2 trigonal pyramid, corners with two equivalent O(7)LaHoMn2 trigonal pyramids,  an edgeedge with one O(5)LaHoMn2 tetrahedra, and edges with two equivalent O(14)Ho2Mn2 trigonal pyramids.