Ba10MgMn6(O12F)2 crystallizes in the triclinic P-1 space group. There are five inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. In the second Ba site, Ba(2) is bonded in a 7-coordinate geometry to one O(1), one O(12), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(12), one O(6), one O(8), one O(9), one F(1), and one F(2) atom. In the fourth Ba site, Ba(4) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(4), one O(7), one O(9), one F(1), and one F(2) atom. In the fifth Ba site, Ba(5) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(3), one O(5), one O(7), one O(8), one F(1), and one F(2) atom. Mg(1) is bonded in a distorted octahedral geometry to two equivalent O(11), two equivalent O(2), and two equivalent O(5) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a tetrahedral geometry to one O(1), one O(10), one O(4), and one O(7) atom. In the second Mn site, Mn(2) is bonded in a rectangular see-saw-like geometry to one O(11), one O(2), one O(5), and one O(8) atom. In the third Mn site, Mn(3) is bonded in a tetrahedral geometry to one O(12), one O(3), one O(6), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Mg(1), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(5), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(4), and one Mn(1) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Ba(5), one Mg(1), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(3) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(5), and one Mn(1) atom. In the eighth O site, O(8) is bonded to one Ba(1), one Ba(3), one Ba(5), and one Mn(2) atom to form distorted OBa3Mn tetrahedra that share corners with two equivalent F(2)Ba6 octahedra and  an edgeedge with one F(1)Ba6 octahedra. The corner-sharing octahedral tilt angles range from 36-71°. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(3), one Ba(4), and one Mn(3) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(5), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Ba(3), one Ba(5), one Mg(1), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(4), and one Mn(3) atom. There are two inequivalent F sites. In the first F site, F(1) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form distorted FBa6 octahedra that share edges with two equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(2)Ba6 octahedra. In the second F site, F(2) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form FBa6 octahedra that share corners with four equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(1)Ba6 octahedra.
Ba10MgMn6(O12F)2 crystallizes in the triclinic P-1 space group. There are five inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. The Ba(1)-O(1) bond length is 2.75 Å. The Ba(1)-O(2) bond length is 2.78 Å. The Ba(1)-O(3) bond length is 2.75 Å. The Ba(1)-O(4) bond length is 2.81 Å. The Ba(1)-O(5) bond length is 3.06 Å. The Ba(1)-O(6) bond length is 2.76 Å. The Ba(1)-O(7) bond length is 2.96 Å. The Ba(1)-O(8) bond length is 2.82 Å. The Ba(1)-O(9) bond length is 3.31 Å. In the second Ba site, Ba(2) is bonded in a 7-coordinate geometry to one O(1), one O(12), one O(2), one O(3), one O(4), one O(5), and one O(6) atom. The Ba(2)-O(1) bond length is 2.71 Å. The Ba(2)-O(12) bond length is 2.85 Å. The Ba(2)-O(2) bond length is 2.71 Å. The Ba(2)-O(3) bond length is 2.74 Å. The Ba(2)-O(4) bond length is 2.77 Å. The Ba(2)-O(5) bond length is 2.79 Å. The Ba(2)-O(6) bond length is 2.75 Å. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one O(1), one O(11), one O(12), one O(6), one O(8), one O(9), one F(1), and one F(2) atom. The Ba(3)-O(1) bond length is 3.00 Å. The Ba(3)-O(11) bond length is 2.93 Å. The Ba(3)-O(12) bond length is 2.75 Å. The Ba(3)-O(6) bond length is 2.68 Å. The Ba(3)-O(8) bond length is 2.72 Å. The Ba(3)-O(9) bond length is 2.74 Å. The Ba(3)-F(1) bond length is 3.00 Å. The Ba(3)-F(2) bond length is 3.34 Å. In the fourth Ba site, Ba(4) is bonded in a 6-coordinate geometry to one O(10), one O(12), one O(4), one O(7), one O(9), one F(1), and one F(2) atom. The Ba(4)-O(10) bond length is 2.66 Å. The Ba(4)-O(12) bond length is 2.78 Å. The Ba(4)-O(4) bond length is 2.72 Å. The Ba(4)-O(7) bond length is 2.76 Å. The Ba(4)-O(9) bond length is 2.73 Å. The Ba(4)-F(1) bond length is 3.41 Å. The Ba(4)-F(2) bond length is 3.09 Å. In the fifth Ba site, Ba(5) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(3), one O(5), one O(7), one O(8), one F(1), and one F(2) atom. The Ba(5)-O(10) bond length is 2.75 Å. The Ba(5)-O(11) bond length is 2.80 Å. The Ba(5)-O(3) bond length is 3.03 Å. The Ba(5)-O(5) bond length is 2.79 Å. The Ba(5)-O(7) bond length is 2.98 Å. The Ba(5)-O(8) bond length is 2.60 Å. The Ba(5)-F(1) bond length is 3.12 Å. The Ba(5)-F(2) bond length is 3.03 Å. Mg(1) is bonded in a distorted octahedral geometry to two equivalent O(11), two equivalent O(2), and two equivalent O(5) atoms. Both Mg(1)-O(11) bond lengths are 2.25 Å. Both Mg(1)-O(2) bond lengths are 2.13 Å. Both Mg(1)-O(5) bond lengths are 2.12 Å. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a tetrahedral geometry to one O(1), one O(10), one O(4), and one O(7) atom. The Mn(1)-O(1) bond length is 1.71 Å. The Mn(1)-O(10) bond length is 1.72 Å. The Mn(1)-O(4) bond length is 1.73 Å. The Mn(1)-O(7) bond length is 1.72 Å. In the second Mn site, Mn(2) is bonded in a rectangular see-saw-like geometry to one O(11), one O(2), one O(5), and one O(8) atom. The Mn(2)-O(11) bond length is 1.80 Å. The Mn(2)-O(2) bond length is 1.85 Å. The Mn(2)-O(5) bond length is 1.80 Å. The Mn(2)-O(8) bond length is 1.78 Å. In the third Mn site, Mn(3) is bonded in a tetrahedral geometry to one O(12), one O(3), one O(6), and one O(9) atom. The Mn(3)-O(12) bond length is 1.73 Å. The Mn(3)-O(3) bond length is 1.70 Å. The Mn(3)-O(6) bond length is 1.73 Å. The Mn(3)-O(9) bond length is 1.71 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(2), one Mg(1), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(5), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(4), and one Mn(1) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Ba(5), one Mg(1), and one Mn(2) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(2), one Ba(3), and one Mn(3) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(5), and one Mn(1) atom. In the eighth O site, O(8) is bonded to one Ba(1), one Ba(3), one Ba(5), and one Mn(2) atom to form distorted OBa3Mn tetrahedra that share corners with two equivalent F(2)Ba6 octahedra and  an edgeedge with one F(1)Ba6 octahedra. The corner-sharing octahedral tilt angles range from 36-71°. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(3), one Ba(4), and one Mn(3) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(5), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Ba(3), one Ba(5), one Mg(1), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(4), and one Mn(3) atom. There are two inequivalent F sites. In the first F site, F(1) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form distorted FBa6 octahedra that share edges with two equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(2)Ba6 octahedra. In the second F site, F(2) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ba(5) atoms to form FBa6 octahedra that share corners with four equivalent O(8)Ba3Mn tetrahedra and faces with two equivalent F(1)Ba6 octahedra.