LuScO3 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(3), three equivalent O(1), and three equivalent O(2) atoms. In the second Lu site, Lu(2) is bonded to one O(4), three equivalent O(1), and three equivalent O(2) atoms to form distorted LuO7 pentagonal bipyramids that share corners with three equivalent Sc(1)O5 trigonal bipyramids and edges with three equivalent Sc(1)O5 trigonal bipyramids. Sc(1) is bonded to one O(1), one O(2), one O(4), and two equivalent O(3) atoms to form ScO5 trigonal bipyramids that share  a cornercorner with one Lu(2)O7 pentagonal bipyramid, corners with six equivalent Sc(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(2), two equivalent Lu(1), and one Sc(1) atom to form OLu3Sc tetrahedra that share corners with four equivalent O(2)Lu3Sc tetrahedra, corners with six equivalent O(1)Lu3Sc tetrahedra, corners with two equivalent O(4)LuSc3 trigonal pyramids, edges with three equivalent O(2)Lu3Sc tetrahedra, and edges with two equivalent O(3)LuSc3 trigonal pyramids. In the second O site, O(2) is bonded to one Lu(2), two equivalent Lu(1), and one Sc(1) atom to form OLu3Sc tetrahedra that share corners with four equivalent O(1)Lu3Sc tetrahedra, corners with six equivalent O(2)Lu3Sc tetrahedra, corners with four equivalent O(3)LuSc3 trigonal pyramids, edges with three equivalent O(1)Lu3Sc tetrahedra, and  an edgeedge with one O(4)LuSc3 trigonal pyramid. In the third O site, O(3) is bonded to one Lu(1) and three equivalent Sc(1) atoms to form distorted OLuSc3 trigonal pyramids that share corners with six equivalent O(2)Lu3Sc tetrahedra, corners with three equivalent O(3)LuSc3 trigonal pyramids, corners with three equivalent O(4)LuSc3 trigonal pyramids, and edges with three equivalent O(1)Lu3Sc tetrahedra. In the fourth O site, O(4) is bonded to one Lu(2) and three equivalent Sc(1) atoms to form distorted OLuSc3 trigonal pyramids that share corners with six equivalent O(1)Lu3Sc tetrahedra, corners with six equivalent O(3)LuSc3 trigonal pyramids, and edges with three equivalent O(2)Lu3Sc tetrahedra.
LuScO3 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(3), three equivalent O(1), and three equivalent O(2) atoms. The Lu(1)-O(3) bond length is 2.55 Å. All Lu(1)-O(1) bond lengths are 2.26 Å. All Lu(1)-O(2) bond lengths are 2.29 Å. In the second Lu site, Lu(2) is bonded to one O(4), three equivalent O(1), and three equivalent O(2) atoms to form distorted LuO7 pentagonal bipyramids that share corners with three equivalent Sc(1)O5 trigonal bipyramids and edges with three equivalent Sc(1)O5 trigonal bipyramids. The Lu(2)-O(4) bond length is 2.41 Å. All Lu(2)-O(1) bond lengths are 2.24 Å. All Lu(2)-O(2) bond lengths are 2.32 Å. Sc(1) is bonded to one O(1), one O(2), one O(4), and two equivalent O(3) atoms to form ScO5 trigonal bipyramids that share  a cornercorner with one Lu(2)O7 pentagonal bipyramid, corners with six equivalent Sc(1)O5 trigonal bipyramids, and  an edgeedge with one Lu(2)O7 pentagonal bipyramid. The Sc(1)-O(1) bond length is 2.07 Å. The Sc(1)-O(2) bond length is 2.05 Å. The Sc(1)-O(4) bond length is 2.07 Å. Both Sc(1)-O(3) bond lengths are 2.06 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Lu(2), two equivalent Lu(1), and one Sc(1) atom to form OLu3Sc tetrahedra that share corners with four equivalent O(2)Lu3Sc tetrahedra, corners with six equivalent O(1)Lu3Sc tetrahedra, corners with two equivalent O(4)LuSc3 trigonal pyramids, edges with three equivalent O(2)Lu3Sc tetrahedra, and edges with two equivalent O(3)LuSc3 trigonal pyramids. In the second O site, O(2) is bonded to one Lu(2), two equivalent Lu(1), and one Sc(1) atom to form OLu3Sc tetrahedra that share corners with four equivalent O(1)Lu3Sc tetrahedra, corners with six equivalent O(2)Lu3Sc tetrahedra, corners with four equivalent O(3)LuSc3 trigonal pyramids, edges with three equivalent O(1)Lu3Sc tetrahedra, and  an edgeedge with one O(4)LuSc3 trigonal pyramid. In the third O site, O(3) is bonded to one Lu(1) and three equivalent Sc(1) atoms to form distorted OLuSc3 trigonal pyramids that share corners with six equivalent O(2)Lu3Sc tetrahedra, corners with three equivalent O(3)LuSc3 trigonal pyramids, corners with three equivalent O(4)LuSc3 trigonal pyramids, and edges with three equivalent O(1)Lu3Sc tetrahedra. In the fourth O site, O(4) is bonded to one Lu(2) and three equivalent Sc(1) atoms to form distorted OLuSc3 trigonal pyramids that share corners with six equivalent O(1)Lu3Sc tetrahedra, corners with six equivalent O(3)LuSc3 trigonal pyramids, and edges with three equivalent O(2)Lu3Sc tetrahedra.