BaMgLaMn2O6 crystallizes in the monoclinic Cm space group. Ba(1) is bonded in a 8-coordinate geometry to four equivalent O(2) and four equivalent O(3) atoms. Mg(1) is bonded to one O(3) and four equivalent O(1) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent Mg(1)O5 trigonal bipyramids, and edges with four equivalent Mn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. La(1) is bonded in a 7-coordinate geometry to four equivalent O(2) and four equivalent O(4) atoms. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4) and four equivalent O(1) atoms to form distorted MnO5 trigonal bipyramids that share  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent Mn(1)O5 trigonal bipyramids, and edges with four equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. In the second Mn site, Mn(2) is bonded to one O(3), one O(4), and four equivalent O(2) atoms to form distorted MnO6 octahedra that share corners with four equivalent Mn(2)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  a cornercorner with one Mn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 15°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mg(1) and two equivalent Mn(1) atoms to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(3)Ba4MgMn octahedra, corners with four equivalent O(1)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(1)Mg2Mn2 trigonal pyramids. The corner-sharing octahedral tilt angles are 73°. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Ba(1), two equivalent La(1), and two equivalent Mn(2) atoms. In the third O site, O(3) is bonded to four equivalent Ba(1), one Mg(1), and one Mn(2) atom to form distorted OBa4MgMn octahedra that share corners with four equivalent O(3)Ba4MgMn octahedra, corners with four equivalent O(1)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(3)Ba4MgMn octahedra. The corner-sharing octahedral tilt angles are 7°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to four equivalent La(1), one Mn(1), and one Mn(2) atom.
BaMgLaMn2O6 crystallizes in the monoclinic Cm space group. Ba(1) is bonded in a 8-coordinate geometry to four equivalent O(2) and four equivalent O(3) atoms. There are two shorter (3.00 Å) and two longer (3.04 Å) Ba(1)-O(2) bond lengths. There are a spread of Ba(1)-O(3) bond distances ranging from 2.80-2.82 Å. Mg(1) is bonded to one O(3) and four equivalent O(1) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent Mg(1)O5 trigonal bipyramids, and edges with four equivalent Mn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. The Mg(1)-O(3) bond length is 2.02 Å. All Mg(1)-O(1) bond lengths are 2.07 Å. La(1) is bonded in a 7-coordinate geometry to four equivalent O(2) and four equivalent O(4) atoms. There are two shorter (2.46 Å) and two longer (2.60 Å) La(1)-O(2) bond lengths. There are a spread of La(1)-O(4) bond distances ranging from 2.41-3.33 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4) and four equivalent O(1) atoms to form distorted MnO5 trigonal bipyramids that share  a cornercorner with one Mn(2)O6 octahedra, corners with four equivalent Mn(1)O5 trigonal bipyramids, and edges with four equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. The Mn(1)-O(4) bond length is 2.07 Å. There are two shorter (2.07 Å) and two longer (2.08 Å) Mn(1)-O(1) bond lengths. In the second Mn site, Mn(2) is bonded to one O(3), one O(4), and four equivalent O(2) atoms to form distorted MnO6 octahedra that share corners with four equivalent Mn(2)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  a cornercorner with one Mn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 15°. The Mn(2)-O(3) bond length is 2.18 Å. The Mn(2)-O(4) bond length is 2.44 Å. There are two shorter (1.99 Å) and two longer (2.01 Å) Mn(2)-O(2) bond lengths. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Mg(1) and two equivalent Mn(1) atoms to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(3)Ba4MgMn octahedra, corners with four equivalent O(1)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(1)Mg2Mn2 trigonal pyramids. The corner-sharing octahedral tilt angles are 73°. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Ba(1), two equivalent La(1), and two equivalent Mn(2) atoms. In the third O site, O(3) is bonded to four equivalent Ba(1), one Mg(1), and one Mn(2) atom to form distorted OBa4MgMn octahedra that share corners with four equivalent O(3)Ba4MgMn octahedra, corners with four equivalent O(1)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(3)Ba4MgMn octahedra. The corner-sharing octahedral tilt angles are 7°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to four equivalent La(1), one Mn(1), and one Mn(2) atom.