Mg14WBO16 crystallizes in the orthorhombic Pmmm space group. There are seven 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 MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent W(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to two O(2,2); 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 MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. 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 MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with four equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. 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 0-9°. In the seventh 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 MgO6 octahedra that share corners with six equivalent Mg(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. W(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent W(1)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. B(1) is bonded in a 6-coordinate geometry to two O(2,2); two equivalent O(5); and two equivalent O(8) atoms. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(5), two equivalent Mg(7), and one W(1) atom to form OMg5W octahedra that share corners with four equivalent O(1)Mg5W octahedra, corners with two equivalent O(2)Mg5B square pyramids, edges with two equivalent O(8)Mg4BW octahedra, edges with two equivalent O(4)Mg4W2 octahedra, 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 0-1°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one B(1) atom to form OMg5B square pyramids that share corners with two equivalent O(1)Mg5W octahedra; corners with four O(2,2)Mg5B square pyramids; edges with two equivalent O(5)Mg4B2 octahedra; edges with two equivalent O(8)Mg4BW 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 are 5°. In the third O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one B(1) atom to form OMg5B square pyramids that share corners with two equivalent O(1)Mg5W octahedra; corners with four O(2,2)Mg5B square pyramids; edges with two equivalent O(5)Mg4B2 octahedra; edges with two equivalent O(8)Mg4BW 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 are 5°. In the fourth 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(5)Mg4B2 octahedra,  an edgeedge with one O(4)Mg4W2 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(8)Mg4BW octahedra, edges with two equivalent O(1)Mg5W octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with two equivalent O(2)Mg5B square pyramids. The corner-sharing octahedral tilt angles range from 0-8°. In the fifth O site, O(4) is bonded to two equivalent Mg(3), two equivalent Mg(5), and two equivalent W(1) atoms to form OMg4W2 octahedra that share corners with two equivalent O(5)Mg4B2 octahedra, corners with two equivalent O(4)Mg4W2 octahedra, corners with two equivalent O(6)Mg6 octahedra, edges with four equivalent O(8)Mg4BW octahedra, edges with four equivalent O(1)Mg5W octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(5) is bonded to two equivalent Mg(3), two equivalent Mg(6), and two equivalent B(1) atoms to form OMg4B2 octahedra that share corners with two equivalent O(5)Mg4B2 octahedra; corners with two equivalent O(4)Mg4W2 octahedra; corners with two equivalent O(7)Mg6 octahedra; edges with four equivalent O(8)Mg4BW octahedra; edges with four equivalent O(3)Mg6 octahedra; and edges with four O(2,2)Mg5B square pyramids. The corner-sharing octahedra are not tilted. In the seventh 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)Mg4W2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(1)Mg5W 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(7) is bonded to two equivalent Mg(2), two equivalent Mg(4), and two equivalent Mg(6) atoms to form OMg6 octahedra that share corners with two equivalent O(5)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 O(2,2)Mg5B square pyramids. The corner-sharing octahedra are not tilted. In the ninth O site, O(8) is bonded to two equivalent Mg(3), two equivalent Mg(7), one W(1), and one B(1) atom to form distorted OMg4BW octahedra that share corners with two equivalent O(9)Mg6 octahedra; corners with four equivalent O(8)Mg4BW octahedra; edges with two equivalent O(5)Mg4B2 octahedra; edges with two equivalent O(4)Mg4W2 octahedra; edges with two equivalent O(1)Mg5W octahedra; edges with four equivalent O(3)Mg6 octahedra; and edges with two O(2,2)Mg5B square pyramids. The corner-sharing octahedral tilt angles range from 0-10°. In the tenth 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 two equivalent O(8)Mg4BW octahedra; corners with four equivalent O(9)Mg6 octahedra; edges with two equivalent O(1)Mg5W 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 O(2,2)Mg5B square pyramids. The corner-sharing octahedral tilt angles range from 0-7°.
Mg14WBO16 crystallizes in the orthorhombic Pmmm space group. There are seven 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 MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent W(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. Both Mg(1)-O(1) bond lengths are 2.12 Å. Both Mg(1)-O(6) bond lengths are 2.14 Å. Both Mg(1)-O(9) bond lengths are 2.14 Å. In the second Mg site, Mg(2) is bonded to two O(2,2); 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(2,2) bond lengths are 2.00 Å. Both Mg(2)-O(7) bond lengths are 2.14 Å. Both Mg(2)-O(9) bond lengths are 2.21 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 MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. The Mg(3)-O(4) bond length is 2.31 Å. The Mg(3)-O(5) bond length is 2.04 Å. Both Mg(3)-O(3) bond lengths are 2.14 Å. Both Mg(3)-O(8) bond lengths are 2.15 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 2.20 Å. The Mg(4)-O(7) bond length is 2.15 Å. Both Mg(4)-O(3) bond lengths are 2.17 Å. Both Mg(4)-O(9) bond lengths are 2.14 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 MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with four equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. The Mg(5)-O(4) bond length is 2.21 Å. The Mg(5)-O(6) bond length is 2.09 Å. Both Mg(5)-O(1) bond lengths are 2.14 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 0-9°. The Mg(6)-O(5) bond length is 2.13 Å. The Mg(6)-O(7) bond length is 2.18 Å. Both Mg(6)-O(2) bond lengths are 2.15 Å. Both Mg(6)-O(3) bond lengths are 2.19 Å. In the seventh 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 MgO6 octahedra that share corners with six equivalent Mg(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. The Mg(7)-O(1) bond length is 2.26 Å. The Mg(7)-O(2) bond length is 2.09 Å. The Mg(7)-O(8) bond length is 2.16 Å. The Mg(7)-O(9) bond length is 2.15 Å. Both Mg(7)-O(3) bond lengths are 2.14 Å. W(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent W(1)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. Both W(1)-O(1) bond lengths are 2.18 Å. Both W(1)-O(4) bond lengths are 2.14 Å. Both W(1)-O(8) bond lengths are 2.12 Å. B(1) is bonded in a 6-coordinate geometry to two O(2,2); two equivalent O(5); and two equivalent O(8) atoms. Both B(1)-O(2,2) bond lengths are 2.30 Å. Both B(1)-O(5) bond lengths are 2.14 Å. Both B(1)-O(8) bond lengths are 2.23 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(5), two equivalent Mg(7), and one W(1) atom to form OMg5W octahedra that share corners with four equivalent O(1)Mg5W octahedra, corners with two equivalent O(2)Mg5B square pyramids, edges with two equivalent O(8)Mg4BW octahedra, edges with two equivalent O(4)Mg4W2 octahedra, 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 0-1°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one B(1) atom to form OMg5B square pyramids that share corners with two equivalent O(1)Mg5W octahedra; corners with four O(2,2)Mg5B square pyramids; edges with two equivalent O(5)Mg4B2 octahedra; edges with two equivalent O(8)Mg4BW 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 are 5°. In the third O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one B(1) atom to form OMg5B square pyramids that share corners with two equivalent O(1)Mg5W octahedra; corners with four O(2,2)Mg5B square pyramids; edges with two equivalent O(5)Mg4B2 octahedra; edges with two equivalent O(8)Mg4BW 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 are 5°. Both O(2)-Mg(6) bond lengths are 2.15 Å. Both O(2)-Mg(7) bond lengths are 2.09 Å. In the fourth 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(5)Mg4B2 octahedra,  an edgeedge with one O(4)Mg4W2 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(8)Mg4BW octahedra, edges with two equivalent O(1)Mg5W octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with two equivalent O(2)Mg5B square pyramids. The corner-sharing octahedral tilt angles range from 0-8°. In the fifth O site, O(4) is bonded to two equivalent Mg(3), two equivalent Mg(5), and two equivalent W(1) atoms to form OMg4W2 octahedra that share corners with two equivalent O(5)Mg4B2 octahedra, corners with two equivalent O(4)Mg4W2 octahedra, corners with two equivalent O(6)Mg6 octahedra, edges with four equivalent O(8)Mg4BW octahedra, edges with four equivalent O(1)Mg5W octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(5) is bonded to two equivalent Mg(3), two equivalent Mg(6), and two equivalent B(1) atoms to form OMg4B2 octahedra that share corners with two equivalent O(5)Mg4B2 octahedra; corners with two equivalent O(4)Mg4W2 octahedra; corners with two equivalent O(7)Mg6 octahedra; edges with four equivalent O(8)Mg4BW octahedra; edges with four equivalent O(3)Mg6 octahedra; and edges with four O(2,2)Mg5B square pyramids. The corner-sharing octahedra are not tilted. In the seventh 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)Mg4W2 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(1)Mg5W 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(7) is bonded to two equivalent Mg(2), two equivalent Mg(4), and two equivalent Mg(6) atoms to form OMg6 octahedra that share corners with two equivalent O(5)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 O(2,2)Mg5B square pyramids. The corner-sharing octahedra are not tilted. In the ninth O site, O(8) is bonded to two equivalent Mg(3), two equivalent Mg(7), one W(1), and one B(1) atom to form distorted OMg4BW octahedra that share corners with two equivalent O(9)Mg6 octahedra; corners with four equivalent O(8)Mg4BW octahedra; edges with two equivalent O(5)Mg4B2 octahedra; edges with two equivalent O(4)Mg4W2 octahedra; edges with two equivalent O(1)Mg5W octahedra; edges with four equivalent O(3)Mg6 octahedra; and edges with two O(2,2)Mg5B square pyramids. The corner-sharing octahedral tilt angles range from 0-10°. In the tenth 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 two equivalent O(8)Mg4BW octahedra; corners with four equivalent O(9)Mg6 octahedra; edges with two equivalent O(1)Mg5W 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 O(2,2)Mg5B square pyramids. The corner-sharing octahedral tilt angles range from 0-7°.