HoMnO3 crystallizes in the hexagonal P6_3cm space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 7-coordinate geometry to one O(1), three equivalent O(3), and three equivalent O(4) atoms. In the second Ho site, Ho(2) is bonded to one O(2), three equivalent O(3), and three equivalent O(4) atoms to form distorted HoO7 pentagonal bipyramids that share corners with three equivalent Mn(1)O5 trigonal bipyramids and edges with three equivalent Mn(1)O5 trigonal bipyramids. Mn(1) is bonded to one O(2), one O(3), one O(4), and two equivalent O(1) atoms to form MnO5 trigonal bipyramids that share  a cornercorner with one Ho(2)O7 pentagonal bipyramid, corners with six equivalent Mn(1)O5 trigonal bipyramids, and  an edgeedge with one Ho(2)O7 pentagonal bipyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Ho(1) and three equivalent Mn(1) atoms to form OHoMn3 trigonal pyramids that share corners with six equivalent O(3)Ho3Mn tetrahedra, corners with three equivalent O(1)HoMn3 trigonal pyramids, corners with three equivalent O(2)HoMn3 trigonal pyramids, and edges with three equivalent O(4)Ho3Mn tetrahedra. In the second O site, O(2) is bonded to one Ho(2) and three equivalent Mn(1) atoms to form OHoMn3 trigonal pyramids that share corners with six equivalent O(4)Ho3Mn tetrahedra, corners with six equivalent O(1)HoMn3 trigonal pyramids, and edges with three equivalent O(3)Ho3Mn tetrahedra. In the third O site, O(3) is bonded to one Ho(2), two equivalent Ho(1), and one Mn(1) atom to form distorted OHo3Mn tetrahedra that share corners with four equivalent O(4)Ho3Mn tetrahedra, corners with six equivalent O(3)Ho3Mn tetrahedra, corners with four equivalent O(1)HoMn3 trigonal pyramids, edges with three equivalent O(4)Ho3Mn tetrahedra, and  an edgeedge with one O(2)HoMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Ho(2), two equivalent Ho(1), and one Mn(1) atom to form OHo3Mn tetrahedra that share corners with four equivalent O(3)Ho3Mn tetrahedra, corners with six equivalent O(4)Ho3Mn tetrahedra, corners with two equivalent O(2)HoMn3 trigonal pyramids, edges with three equivalent O(3)Ho3Mn tetrahedra, and edges with two equivalent O(1)HoMn3 trigonal pyramids.
HoMnO3 crystallizes in the hexagonal P6_3cm space group. There are two inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 7-coordinate geometry to one O(1), three equivalent O(3), and three equivalent O(4) atoms. The Ho(1)-O(1) bond length is 2.41 Å. All Ho(1)-O(3) bond lengths are 2.30 Å. All Ho(1)-O(4) bond lengths are 2.26 Å. In the second Ho site, Ho(2) is bonded to one O(2), three equivalent O(3), and three equivalent O(4) atoms to form distorted HoO7 pentagonal bipyramids that share corners with three equivalent Mn(1)O5 trigonal bipyramids and edges with three equivalent Mn(1)O5 trigonal bipyramids. The Ho(2)-O(2) bond length is 2.29 Å. All Ho(2)-O(3) bond lengths are 2.31 Å. All Ho(2)-O(4) bond lengths are 2.26 Å. Mn(1) is bonded to one O(2), one O(3), one O(4), and two equivalent O(1) atoms to form MnO5 trigonal bipyramids that share  a cornercorner with one Ho(2)O7 pentagonal bipyramid, corners with six equivalent Mn(1)O5 trigonal bipyramids, and  an edgeedge with one Ho(2)O7 pentagonal bipyramid. The Mn(1)-O(2) bond length is 2.05 Å. The Mn(1)-O(3) bond length is 1.87 Å. The Mn(1)-O(4) bond length is 1.88 Å. Both Mn(1)-O(1) bond lengths are 2.05 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Ho(1) and three equivalent Mn(1) atoms to form OHoMn3 trigonal pyramids that share corners with six equivalent O(3)Ho3Mn tetrahedra, corners with three equivalent O(1)HoMn3 trigonal pyramids, corners with three equivalent O(2)HoMn3 trigonal pyramids, and edges with three equivalent O(4)Ho3Mn tetrahedra. In the second O site, O(2) is bonded to one Ho(2) and three equivalent Mn(1) atoms to form OHoMn3 trigonal pyramids that share corners with six equivalent O(4)Ho3Mn tetrahedra, corners with six equivalent O(1)HoMn3 trigonal pyramids, and edges with three equivalent O(3)Ho3Mn tetrahedra. In the third O site, O(3) is bonded to one Ho(2), two equivalent Ho(1), and one Mn(1) atom to form distorted OHo3Mn tetrahedra that share corners with four equivalent O(4)Ho3Mn tetrahedra, corners with six equivalent O(3)Ho3Mn tetrahedra, corners with four equivalent O(1)HoMn3 trigonal pyramids, edges with three equivalent O(4)Ho3Mn tetrahedra, and  an edgeedge with one O(2)HoMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Ho(2), two equivalent Ho(1), and one Mn(1) atom to form OHo3Mn tetrahedra that share corners with four equivalent O(3)Ho3Mn tetrahedra, corners with six equivalent O(4)Ho3Mn tetrahedra, corners with two equivalent O(2)HoMn3 trigonal pyramids, edges with three equivalent O(3)Ho3Mn tetrahedra, and edges with two equivalent O(1)HoMn3 trigonal pyramids.