LuMnO3 crystallizes in the hexagonal P6_3cm space group. There are two inequivalent Lu sites. In the first Lu site, Lu(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 Lu site, Lu(2) is bonded to one O(2), three equivalent O(3), and three equivalent O(4) atoms to form distorted LuO7 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 Lu(2)O7 pentagonal bipyramid, corners with six equivalent Mn(1)O5 trigonal bipyramids, and  an edgeedge with one Lu(2)O7 pentagonal bipyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Lu(1) and three equivalent Mn(1) atoms to form OLuMn3 trigonal pyramids that share corners with six equivalent O(3)Lu3Mn tetrahedra, corners with three equivalent O(1)LuMn3 trigonal pyramids, corners with three equivalent O(2)LuMn3 trigonal pyramids, and edges with three equivalent O(4)Lu3Mn tetrahedra. In the second O site, O(2) is bonded to one Lu(2) and three equivalent Mn(1) atoms to form OLuMn3 trigonal pyramids that share corners with six equivalent O(4)Lu3Mn tetrahedra, corners with six equivalent O(1)LuMn3 trigonal pyramids, and edges with three equivalent O(3)Lu3Mn tetrahedra. In the third O site, O(3) is bonded to one Lu(2), two equivalent Lu(1), and one Mn(1) atom to form distorted OLu3Mn tetrahedra that share corners with four equivalent O(4)Lu3Mn tetrahedra, corners with six equivalent O(3)Lu3Mn tetrahedra, corners with four equivalent O(1)LuMn3 trigonal pyramids, edges with three equivalent O(4)Lu3Mn tetrahedra, and  an edgeedge with one O(2)LuMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Lu(2), two equivalent Lu(1), and one Mn(1) atom to form OLu3Mn tetrahedra that share corners with four equivalent O(3)Lu3Mn tetrahedra, corners with six equivalent O(4)Lu3Mn tetrahedra, corners with two equivalent O(2)LuMn3 trigonal pyramids, edges with three equivalent O(3)Lu3Mn tetrahedra, and edges with two equivalent O(1)LuMn3 trigonal pyramids.
LuMnO3 crystallizes in the hexagonal P6_3cm space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 7-coordinate geometry to one O(1), three equivalent O(3), and three equivalent O(4) atoms. The Lu(1)-O(1) bond length is 2.36 Å. All Lu(1)-O(3) bond lengths are 2.26 Å. All Lu(1)-O(4) bond lengths are 2.22 Å. In the second Lu site, Lu(2) is bonded to one O(2), three equivalent O(3), and three equivalent O(4) atoms to form distorted LuO7 pentagonal bipyramids that share corners with three equivalent Mn(1)O5 trigonal bipyramids and edges with three equivalent Mn(1)O5 trigonal bipyramids. The Lu(2)-O(2) bond length is 2.25 Å. All Lu(2)-O(3) bond lengths are 2.27 Å. All Lu(2)-O(4) bond lengths are 2.21 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 Lu(2)O7 pentagonal bipyramid, corners with six equivalent Mn(1)O5 trigonal bipyramids, and  an edgeedge with one Lu(2)O7 pentagonal bipyramid. The Mn(1)-O(2) bond length is 2.02 Å. The Mn(1)-O(3) bond length is 1.88 Å. The Mn(1)-O(4) bond length is 1.88 Å. Both Mn(1)-O(1) bond lengths are 2.02 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Lu(1) and three equivalent Mn(1) atoms to form OLuMn3 trigonal pyramids that share corners with six equivalent O(3)Lu3Mn tetrahedra, corners with three equivalent O(1)LuMn3 trigonal pyramids, corners with three equivalent O(2)LuMn3 trigonal pyramids, and edges with three equivalent O(4)Lu3Mn tetrahedra. In the second O site, O(2) is bonded to one Lu(2) and three equivalent Mn(1) atoms to form OLuMn3 trigonal pyramids that share corners with six equivalent O(4)Lu3Mn tetrahedra, corners with six equivalent O(1)LuMn3 trigonal pyramids, and edges with three equivalent O(3)Lu3Mn tetrahedra. In the third O site, O(3) is bonded to one Lu(2), two equivalent Lu(1), and one Mn(1) atom to form distorted OLu3Mn tetrahedra that share corners with four equivalent O(4)Lu3Mn tetrahedra, corners with six equivalent O(3)Lu3Mn tetrahedra, corners with four equivalent O(1)LuMn3 trigonal pyramids, edges with three equivalent O(4)Lu3Mn tetrahedra, and  an edgeedge with one O(2)LuMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Lu(2), two equivalent Lu(1), and one Mn(1) atom to form OLu3Mn tetrahedra that share corners with four equivalent O(3)Lu3Mn tetrahedra, corners with six equivalent O(4)Lu3Mn tetrahedra, corners with two equivalent O(2)LuMn3 trigonal pyramids, edges with three equivalent O(3)Lu3Mn tetrahedra, and edges with two equivalent O(1)LuMn3 trigonal pyramids.