BaMgPrMn2O6 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(4) atoms. Mg(1) is bonded to one O(4) and four equivalent O(3) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with four equivalent Mg(1)O5 trigonal bipyramids, and edges with four equivalent Mn(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. Pr(1) is bonded in a 8-coordinate geometry to four equivalent O(1) and four equivalent O(2) atoms. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(4), and four equivalent O(2) atoms to form distorted MnO6 octahedra that share corners with four equivalent Mn(1)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  a cornercorner with one Mn(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 16°. In the second Mn site, Mn(2) is bonded to one O(1) and four equivalent O(3) atoms to form distorted MnO5 trigonal bipyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with four equivalent Mn(2)O5 trigonal bipyramids, and edges with four equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to four equivalent Pr(1), one Mn(1), and one Mn(2) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Ba(1), two equivalent Pr(1), and two equivalent Mn(1) atoms. In the third O site, O(3) is bonded to two equivalent Mg(1) and two equivalent Mn(2) atoms to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(4)Ba4MgMn octahedra, corners with four equivalent O(3)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(3)Mg2Mn2 trigonal pyramids. The corner-sharing octahedral tilt angles range from 73-74°. In the fourth O site, O(4) is bonded to four equivalent Ba(1), one Mg(1), and one Mn(1) atom to form distorted OBa4MgMn octahedra that share corners with four equivalent O(4)Ba4MgMn octahedra, corners with four equivalent O(3)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(4)Ba4MgMn octahedra. The corner-sharing octahedral tilt angles are 6°.
BaMgPrMn2O6 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(4) atoms. There are two shorter (3.03 Å) and two longer (3.04 Å) Ba(1)-O(2) bond lengths. There are three shorter (2.79 Å) and one longer (2.81 Å) Ba(1)-O(4) bond length. Mg(1) is bonded to one O(4) and four equivalent O(3) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with four equivalent Mg(1)O5 trigonal bipyramids, and edges with four equivalent Mn(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. The Mg(1)-O(4) bond length is 2.02 Å. All Mg(1)-O(3) bond lengths are 2.06 Å. Pr(1) is bonded in a 8-coordinate geometry to four equivalent O(1) and four equivalent O(2) atoms. There are a spread of Pr(1)-O(1) bond distances ranging from 2.48-3.24 Å. There are two shorter (2.44 Å) and two longer (2.56 Å) Pr(1)-O(2) bond lengths. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(4), and four equivalent O(2) atoms to form distorted MnO6 octahedra that share corners with four equivalent Mn(1)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  a cornercorner with one Mn(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 16°. The Mn(1)-O(1) bond length is 2.41 Å. The Mn(1)-O(4) bond length is 2.17 Å. There are two shorter (1.99 Å) and two longer (2.00 Å) Mn(1)-O(2) bond lengths. In the second Mn site, Mn(2) is bonded to one O(1) and four equivalent O(3) atoms to form distorted MnO5 trigonal bipyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with four equivalent Mn(2)O5 trigonal bipyramids, and edges with four equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. The Mn(2)-O(1) bond length is 2.07 Å. There are two shorter (2.07 Å) and two longer (2.08 Å) Mn(2)-O(3) bond lengths. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to four equivalent Pr(1), one Mn(1), and one Mn(2) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Ba(1), two equivalent Pr(1), and two equivalent Mn(1) atoms. In the third O site, O(3) is bonded to two equivalent Mg(1) and two equivalent Mn(2) atoms to form distorted OMg2Mn2 trigonal pyramids that share corners with two equivalent O(4)Ba4MgMn octahedra, corners with four equivalent O(3)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(3)Mg2Mn2 trigonal pyramids. The corner-sharing octahedral tilt angles range from 73-74°. In the fourth O site, O(4) is bonded to four equivalent Ba(1), one Mg(1), and one Mn(1) atom to form distorted OBa4MgMn octahedra that share corners with four equivalent O(4)Ba4MgMn octahedra, corners with four equivalent O(3)Mg2Mn2 trigonal pyramids, and edges with four equivalent O(4)Ba4MgMn octahedra. The corner-sharing octahedral tilt angles are 6°.