Ba10MgMn6(O12F)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 8-coordinate geometry to one O(13), one O(15), 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 9-coordinate geometry to one O(1), one O(10), one O(11), one O(12), one O(16), one O(17), one O(18), one O(2), and one O(3) atom. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(12), one O(2), one O(20), one O(21), and one O(3) atom. In the fourth Ba site, Ba(4) is bonded in a 8-coordinate geometry to one O(22), one O(23), one O(24), one O(4), one O(5), one O(7), one O(8), and one O(9) atom. In the fifth Ba site, Ba(5) is bonded in a 7-coordinate geometry to one O(1), one O(14), one O(18), one O(21), one O(23), one O(9), and one F(2) atom. In the sixth Ba site, Ba(6) is bonded in a 8-coordinate geometry to one O(14), one O(15), one O(16), one O(19), one O(2), one O(24), one O(7), and one F(2) atom. In the seventh Ba site, Ba(7) is bonded in a 7-coordinate geometry to one O(13), one O(17), one O(20), one O(22), one O(3), one O(8), and one F(2) atom. In the eighth Ba site, Ba(8) is bonded in a 8-coordinate geometry to one O(12), one O(15), one O(17), one O(19), one O(20), one O(24), one O(4), and one F(1) atom. In the ninth Ba site, Ba(9) is bonded in a 7-coordinate geometry to one O(10), one O(13), one O(18), one O(21), one O(22), one O(5), and one F(1) atom. In the tenth Ba site, Ba(10) is bonded in a 7-coordinate geometry to one O(11), one O(16), one O(19), one O(23), one O(6), one F(1), and one F(2) atom. Mg(1) is bonded to one O(14), one O(21), one O(6), and one F(1) atom to form MgO3F tetrahedra that share  a cornercorner with one Mn(2)O4 tetrahedra and  an edgeedge with one Mn(6)O4 tetrahedra. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a tetrahedral geometry to one O(1), one O(13), one O(22), and one O(7) atom. In the second Mn site, Mn(2) is bonded to one O(14), one O(2), one O(23), and one O(8) atom to form MnO4 tetrahedra that share  a cornercorner with one Mg(1)O3F tetrahedra. In the third Mn site, Mn(3) is bonded in a tetrahedral geometry to one O(15), one O(24), one O(3), and one O(9) atom. In the fourth Mn site, Mn(4) is bonded in a tetrahedral geometry to one O(10), one O(16), one O(19), and one O(4) atom. In the fifth Mn site, Mn(5) is bonded in a tetrahedral geometry to one O(11), one O(17), one O(20), and one O(5) atom. In the sixth Mn site, Mn(6) is bonded to one O(12), one O(18), one O(21), and one O(6) atom to form MnO4 tetrahedra that share  an edgeedge with one Mg(1)O3F tetrahedra. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(5), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(6), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(7), 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(4), one Ba(8), and one Mn(4) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(9), and one Mn(5) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(10), one Mg(1), and one Mn(6) 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(6), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(4), one Ba(7), and one Mn(2) atom. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(5), and one Mn(3) atom. In the tenth O site, O(10) is bonded in a 1-coordinate geometry to one Ba(2), one Ba(3), one Ba(9), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(2), one Ba(3), and one Mn(5) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Ba(2), one Ba(3), one Ba(8), and one Mn(6) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(7), one Ba(9), and one Mn(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Ba(5), one Ba(6), one Mg(1), and one Mn(2) atom. In the fifteenth O site, O(15) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(6), one Ba(8), and one Mn(3) atom. In the sixteenth O site, O(16) is bonded in a distorted single-bond geometry to one Ba(10), one Ba(2), one Ba(6), and one Mn(4) atom. In the seventeenth O site, O(17) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(7), one Ba(8), and one Mn(5) atom. In the eighteenth O site, O(18) is bonded in a distorted tetrahedral geometry to one Ba(2), one Ba(5), one Ba(9), and one Mn(6) atom. In the nineteenth O site, O(19) is bonded in a distorted single-bond geometry to one Ba(10), one Ba(6), one Ba(8), and one Mn(4) atom. In the twentieth O site, O(20) is bonded in a distorted single-bond geometry to one Ba(3), one Ba(7), one Ba(8), and one Mn(5) atom. In the twenty-first O site, O(21) is bonded in a distorted L-shaped geometry to one Ba(3), one Ba(5), one Ba(9), one Mg(1), and one Mn(6) atom. In the twenty-second O site, O(22) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(7), one Ba(9), and one Mn(1) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(4), one Ba(5), and one Mn(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(6), one Ba(8), and one Mn(3) atom. There are two inequivalent F sites. In the first F site, F(1) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(8), one Ba(9), and one Mg(1) atom. In the second F site, F(2) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(5), one Ba(6), and one Ba(7) atom.
Ba10MgMn6(O12F)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 8-coordinate geometry to one O(13), one O(15), one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom. The Ba(1)-O(13) bond length is 3.36 Å. The Ba(1)-O(15) bond length is 3.24 Å. The Ba(1)-O(4) bond length is 2.70 Å. The Ba(1)-O(5) bond length is 2.83 Å. The Ba(1)-O(6) bond length is 2.77 Å. The Ba(1)-O(7) bond length is 2.73 Å. The Ba(1)-O(8) bond length is 2.64 Å. The Ba(1)-O(9) bond length is 2.92 Å. In the second Ba site, Ba(2) is bonded in a 9-coordinate geometry to one O(1), one O(10), one O(11), one O(12), one O(16), one O(17), one O(18), one O(2), and one O(3) atom. The Ba(2)-O(1) bond length is 2.80 Å. The Ba(2)-O(10) bond length is 3.02 Å. The Ba(2)-O(11) bond length is 2.83 Å. The Ba(2)-O(12) bond length is 2.79 Å. The Ba(2)-O(16) bond length is 2.92 Å. The Ba(2)-O(17) bond length is 3.17 Å. The Ba(2)-O(18) bond length is 2.79 Å. The Ba(2)-O(2) bond length is 2.86 Å. The Ba(2)-O(3) bond length is 2.85 Å. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one O(1), one O(10), one O(11), one O(12), one O(2), one O(20), one O(21), and one O(3) atom. The Ba(3)-O(1) bond length is 2.79 Å. The Ba(3)-O(10) bond length is 2.73 Å. The Ba(3)-O(11) bond length is 2.79 Å. The Ba(3)-O(12) bond length is 2.83 Å. The Ba(3)-O(2) bond length is 2.92 Å. The Ba(3)-O(20) bond length is 3.20 Å. The Ba(3)-O(21) bond length is 3.02 Å. The Ba(3)-O(3) bond length is 2.70 Å. In the fourth Ba site, Ba(4) is bonded in a 8-coordinate geometry to one O(22), one O(23), one O(24), one O(4), one O(5), one O(7), one O(8), and one O(9) atom. The Ba(4)-O(22) bond length is 2.91 Å. The Ba(4)-O(23) bond length is 2.66 Å. The Ba(4)-O(24) bond length is 3.08 Å. The Ba(4)-O(4) bond length is 2.72 Å. The Ba(4)-O(5) bond length is 2.85 Å. The Ba(4)-O(7) bond length is 2.78 Å. The Ba(4)-O(8) bond length is 2.86 Å. The Ba(4)-O(9) bond length is 2.81 Å. In the fifth Ba site, Ba(5) is bonded in a 7-coordinate geometry to one O(1), one O(14), one O(18), one O(21), one O(23), one O(9), and one F(2) atom. The Ba(5)-O(1) bond length is 2.86 Å. The Ba(5)-O(14) bond length is 2.80 Å. The Ba(5)-O(18) bond length is 2.56 Å. The Ba(5)-O(21) bond length is 3.15 Å. The Ba(5)-O(23) bond length is 2.80 Å. The Ba(5)-O(9) bond length is 2.75 Å. The Ba(5)-F(2) bond length is 2.71 Å. In the sixth Ba site, Ba(6) is bonded in a 8-coordinate geometry to one O(14), one O(15), one O(16), one O(19), one O(2), one O(24), one O(7), and one F(2) atom. The Ba(6)-O(14) bond length is 2.74 Å. The Ba(6)-O(15) bond length is 2.77 Å. The Ba(6)-O(16) bond length is 2.77 Å. The Ba(6)-O(19) bond length is 3.04 Å. The Ba(6)-O(2) bond length is 2.83 Å. The Ba(6)-O(24) bond length is 2.86 Å. The Ba(6)-O(7) bond length is 2.77 Å. The Ba(6)-F(2) bond length is 2.91 Å. In the seventh Ba site, Ba(7) is bonded in a 7-coordinate geometry to one O(13), one O(17), one O(20), one O(22), one O(3), one O(8), and one F(2) atom. The Ba(7)-O(13) bond length is 2.76 Å. The Ba(7)-O(17) bond length is 2.77 Å. The Ba(7)-O(20) bond length is 2.87 Å. The Ba(7)-O(22) bond length is 2.85 Å. The Ba(7)-O(3) bond length is 2.87 Å. The Ba(7)-O(8) bond length is 2.58 Å. The Ba(7)-F(2) bond length is 3.40 Å. In the eighth Ba site, Ba(8) is bonded in a 8-coordinate geometry to one O(12), one O(15), one O(17), one O(19), one O(20), one O(24), one O(4), and one F(1) atom. The Ba(8)-O(12) bond length is 2.62 Å. The Ba(8)-O(15) bond length is 2.83 Å. The Ba(8)-O(17) bond length is 2.79 Å. The Ba(8)-O(19) bond length is 3.07 Å. The Ba(8)-O(20) bond length is 2.82 Å. The Ba(8)-O(24) bond length is 2.97 Å. The Ba(8)-O(4) bond length is 3.13 Å. The Ba(8)-F(1) bond length is 3.01 Å. In the ninth Ba site, Ba(9) is bonded in a 7-coordinate geometry to one O(10), one O(13), one O(18), one O(21), one O(22), one O(5), and one F(1) atom. The Ba(9)-O(10) bond length is 2.62 Å. The Ba(9)-O(13) bond length is 2.80 Å. The Ba(9)-O(18) bond length is 2.79 Å. The Ba(9)-O(21) bond length is 2.88 Å. The Ba(9)-O(22) bond length is 2.84 Å. The Ba(9)-O(5) bond length is 2.84 Å. The Ba(9)-F(1) bond length is 2.71 Å. In the tenth Ba site, Ba(10) is bonded in a 7-coordinate geometry to one O(11), one O(16), one O(19), one O(23), one O(6), one F(1), and one F(2) atom. The Ba(10)-O(11) bond length is 2.67 Å. The Ba(10)-O(16) bond length is 2.69 Å. The Ba(10)-O(19) bond length is 2.77 Å. The Ba(10)-O(23) bond length is 2.52 Å. The Ba(10)-O(6) bond length is 2.79 Å. The Ba(10)-F(1) bond length is 2.78 Å. The Ba(10)-F(2) bond length is 2.85 Å. Mg(1) is bonded to one O(14), one O(21), one O(6), and one F(1) atom to form MgO3F tetrahedra that share  a cornercorner with one Mn(2)O4 tetrahedra and  an edgeedge with one Mn(6)O4 tetrahedra. The Mg(1)-O(14) bond length is 1.88 Å. The Mg(1)-O(21) bond length is 1.97 Å. The Mg(1)-O(6) bond length is 1.99 Å. The Mg(1)-F(1) bond length is 1.94 Å. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a tetrahedral geometry to one O(1), one O(13), one O(22), and one O(7) atom. The Mn(1)-O(1) bond length is 1.71 Å. The Mn(1)-O(13) bond length is 1.72 Å. The Mn(1)-O(22) 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 to one O(14), one O(2), one O(23), and one O(8) atom to form MnO4 tetrahedra that share  a cornercorner with one Mg(1)O3F tetrahedra. The Mn(2)-O(14) bond length is 1.90 Å. The Mn(2)-O(2) bond length is 1.77 Å. The Mn(2)-O(23) bond length is 1.78 Å. The Mn(2)-O(8) bond length is 1.81 Å. In the third Mn site, Mn(3) is bonded in a tetrahedral geometry to one O(15), one O(24), one O(3), and one O(9) atom. The Mn(3)-O(15) bond length is 1.73 Å. The Mn(3)-O(24) bond length is 1.71 Å. The Mn(3)-O(3) bond length is 1.73 Å. The Mn(3)-O(9) bond length is 1.73 Å. In the fourth Mn site, Mn(4) is bonded in a tetrahedral geometry to one O(10), one O(16), one O(19), and one O(4) atom. The Mn(4)-O(10) bond length is 1.72 Å. The Mn(4)-O(16) bond length is 1.73 Å. The Mn(4)-O(19) bond length is 1.71 Å. The Mn(4)-O(4) bond length is 1.72 Å. In the fifth Mn site, Mn(5) is bonded in a tetrahedral geometry to one O(11), one O(17), one O(20), and one O(5) atom. The Mn(5)-O(11) bond length is 1.73 Å. The Mn(5)-O(17) bond length is 1.73 Å. The Mn(5)-O(20) bond length is 1.72 Å. The Mn(5)-O(5) bond length is 1.72 Å. In the sixth Mn site, Mn(6) is bonded to one O(12), one O(18), one O(21), and one O(6) atom to form MnO4 tetrahedra that share  an edgeedge with one Mg(1)O3F tetrahedra. The Mn(6)-O(12) bond length is 1.79 Å. The Mn(6)-O(18) bond length is 1.79 Å. The Mn(6)-O(21) bond length is 1.82 Å. The Mn(6)-O(6) bond length is 1.86 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(5), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(6), and one Mn(2) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(3), one Ba(7), 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(4), one Ba(8), and one Mn(4) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(9), and one Mn(5) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(10), one Mg(1), and one Mn(6) 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(6), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Ba(1), one Ba(4), one Ba(7), and one Mn(2) atom. In the ninth O site, O(9) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), one Ba(5), and one Mn(3) atom. In the tenth O site, O(10) is bonded in a 1-coordinate geometry to one Ba(2), one Ba(3), one Ba(9), and one Mn(4) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(2), one Ba(3), and one Mn(5) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Ba(2), one Ba(3), one Ba(8), and one Mn(6) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(7), one Ba(9), and one Mn(1) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Ba(5), one Ba(6), one Mg(1), and one Mn(2) atom. In the fifteenth O site, O(15) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(6), one Ba(8), and one Mn(3) atom. In the sixteenth O site, O(16) is bonded in a distorted single-bond geometry to one Ba(10), one Ba(2), one Ba(6), and one Mn(4) atom. In the seventeenth O site, O(17) is bonded in a distorted single-bond geometry to one Ba(2), one Ba(7), one Ba(8), and one Mn(5) atom. In the eighteenth O site, O(18) is bonded in a distorted tetrahedral geometry to one Ba(2), one Ba(5), one Ba(9), and one Mn(6) atom. In the nineteenth O site, O(19) is bonded in a distorted single-bond geometry to one Ba(10), one Ba(6), one Ba(8), and one Mn(4) atom. In the twentieth O site, O(20) is bonded in a distorted single-bond geometry to one Ba(3), one Ba(7), one Ba(8), and one Mn(5) atom. In the twenty-first O site, O(21) is bonded in a distorted L-shaped geometry to one Ba(3), one Ba(5), one Ba(9), one Mg(1), and one Mn(6) atom. In the twenty-second O site, O(22) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(7), one Ba(9), and one Mn(1) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(4), one Ba(5), and one Mn(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted single-bond geometry to one Ba(4), one Ba(6), one Ba(8), and one Mn(3) atom. There are two inequivalent F sites. In the first F site, F(1) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(8), one Ba(9), and one Mg(1) atom. In the second F site, F(2) is bonded in a 4-coordinate geometry to one Ba(10), one Ba(5), one Ba(6), and one Ba(7) atom.