Mg14BBiO16 crystallizes in the orthorhombic Pmmm space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to two equivalent O(2), two equivalent O(7), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra are not tilted. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form a mixture of distorted corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-34°. In the fourth Mg site, Mg(4) is bonded to one O(6), one O(7), two equivalent O(3), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifth Mg site, Mg(5) is bonded to one O(4), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the sixth Mg site, Mg(6) is bonded to one O(5), one O(7), two equivalent O(2), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the seventh Mg site, Mg(6) is bonded to one O(5), one O(7), two equivalent O(2), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eighth Mg site, Mg(7) is bonded to one O(1), one O(2), one O(8), one O(9), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 5-36°. B(1) is bonded in a linear geometry to two equivalent O(4) and two equivalent O(8) atoms. Bi(1) is bonded in a square co-planar geometry to two equivalent O(2) and two equivalent O(5) atoms. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(5), and two equivalent Mg(7) atoms to form OMg5 square pyramids that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(2)Mg5Bi octahedra, corners with three equivalent O(1)Mg5 square pyramids, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 6-85°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one Bi(1) atom to form OMg5Bi octahedra that share corners with four equivalent O(2)Mg5Bi octahedra, corners with two equivalent O(1)Mg5 square pyramids, edges with two equivalent O(5)Mg4Bi2 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third O site, O(3) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(4)Mg4B2 octahedra,  an edgeedge with one O(5)Mg4Bi2 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(2)Mg5Bi octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with two equivalent O(1)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 1-8°. In the fourth O site, O(4) is bonded to two equivalent Mg(3), two equivalent Mg(5), and two equivalent B(1) atoms to form distorted OMg4B2 octahedra that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(5)Mg4Bi2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with four equivalent O(1)Mg5 square pyramids, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to two equivalent Mg(3); two Mg(6,6); and two equivalent Bi(1) atoms to form OMg4Bi2 octahedra that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(5)Mg4Bi2 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(2)Mg5Bi octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Mg(1), two equivalent Mg(4), and two equivalent Mg(5) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, edges with four equivalent O(9)Mg6 octahedra, and edges with four equivalent O(1)Mg5 square pyramids. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to two equivalent Mg(2); two equivalent Mg(4); and two Mg(6,6) atoms to form OMg6 octahedra that share corners with two equivalent O(5)Mg4Bi2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(2)Mg5Bi octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(9)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to two equivalent Mg(3), two equivalent Mg(7), and one B(1) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with four equivalent O(9)Mg6 octahedra, edges with two equivalent O(2)Mg5Bi octahedra, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with two equivalent O(1)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 0-2°.
Mg14BBiO16 crystallizes in the orthorhombic Pmmm space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra are not tilted. Both Mg(1)-O(1) bond lengths are 2.00 Å. Both Mg(1)-O(6) bond lengths are 2.21 Å. Both Mg(1)-O(9) bond lengths are 2.15 Å. In the second Mg site, Mg(2) is bonded to two equivalent O(2), two equivalent O(7), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra are not tilted. Both Mg(2)-O(2) bond lengths are 2.00 Å. Both Mg(2)-O(7) bond lengths are 2.21 Å. Both Mg(2)-O(9) bond lengths are 2.14 Å. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form a mixture of distorted corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-34°. The Mg(3)-O(4) bond length is 2.00 Å. The Mg(3)-O(5) bond length is 2.29 Å. Both Mg(3)-O(3) bond lengths are 2.17 Å. Both Mg(3)-O(8) bond lengths are 2.31 Å. In the fourth Mg site, Mg(4) is bonded to one O(6), one O(7), two equivalent O(3), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. The Mg(4)-O(6) bond length is 2.12 Å. The Mg(4)-O(7) bond length is 2.17 Å. Both Mg(4)-O(3) bond lengths are 2.22 Å. Both Mg(4)-O(9) bond lengths are 2.21 Å. In the fifth Mg site, Mg(5) is bonded to one O(4), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. The Mg(5)-O(4) bond length is 2.19 Å. The Mg(5)-O(6) bond length is 2.20 Å. Both Mg(5)-O(1) bond lengths are 2.22 Å. Both Mg(5)-O(3) bond lengths are 2.16 Å. In the sixth Mg site, Mg(6) is bonded to one O(5), one O(7), two equivalent O(2), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. The Mg(6)-O(5) bond length is 2.30 Å. The Mg(6)-O(7) bond length is 2.09 Å. Both Mg(6)-O(2) bond lengths are 2.21 Å. Both Mg(6)-O(3) bond lengths are 2.14 Å. In the seventh Mg site, Mg(6) is bonded to one O(5), one O(7), two equivalent O(2), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. The Mg(6)-O(5) bond length is 2.30 Å. The Mg(6)-O(7) bond length is 2.09 Å. Both Mg(6)-O(2) bond lengths are 2.21 Å. Both Mg(6)-O(3) bond lengths are 2.14 Å. In the eighth Mg site, Mg(7) is bonded to one O(1), one O(2), one O(8), one O(9), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 5-36°. The Mg(7)-O(1) bond length is 2.07 Å. The Mg(7)-O(2) bond length is 2.23 Å. The Mg(7)-O(8) bond length is 2.39 Å. The Mg(7)-O(9) bond length is 2.12 Å. Both Mg(7)-O(3) bond lengths are 2.21 Å. B(1) is bonded in a linear geometry to two equivalent O(4) and two equivalent O(8) atoms. Both B(1)-O(4) bond lengths are 2.21 Å. Both B(1)-O(8) bond lengths are 1.33 Å. Bi(1) is bonded in a square co-planar geometry to two equivalent O(2) and two equivalent O(5) atoms. Both Bi(1)-O(2) bond lengths are 2.39 Å. Both Bi(1)-O(5) bond lengths are 2.21 Å. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(5), and two equivalent Mg(7) atoms to form OMg5 square pyramids that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(2)Mg5Bi octahedra, corners with three equivalent O(1)Mg5 square pyramids, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 6-85°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one Bi(1) atom to form OMg5Bi octahedra that share corners with four equivalent O(2)Mg5Bi octahedra, corners with two equivalent O(1)Mg5 square pyramids, edges with two equivalent O(5)Mg4Bi2 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third O site, O(3) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(4)Mg4B2 octahedra,  an edgeedge with one O(5)Mg4Bi2 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(2)Mg5Bi octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with two equivalent O(1)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 1-8°. In the fourth O site, O(4) is bonded to two equivalent Mg(3), two equivalent Mg(5), and two equivalent B(1) atoms to form distorted OMg4B2 octahedra that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(5)Mg4Bi2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with four equivalent O(1)Mg5 square pyramids, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to two equivalent Mg(3); two Mg(6,6); and two equivalent Bi(1) atoms to form OMg4Bi2 octahedra that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(5)Mg4Bi2 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(2)Mg5Bi octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Mg(1), two equivalent Mg(4), and two equivalent Mg(5) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg4B2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, edges with four equivalent O(9)Mg6 octahedra, and edges with four equivalent O(1)Mg5 square pyramids. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to two equivalent Mg(2); two equivalent Mg(4); and two Mg(6,6) atoms to form OMg6 octahedra that share corners with two equivalent O(5)Mg4Bi2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(2)Mg5Bi octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(9)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to two equivalent Mg(3), two equivalent Mg(7), and one B(1) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with four equivalent O(9)Mg6 octahedra, edges with two equivalent O(2)Mg5Bi octahedra, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with two equivalent O(1)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 0-2°.