Mg14CoBO16 is Caswellsilverite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1); two O(2,2); and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Co(1)O6 octahedra; corners with two equivalent B(1)O6 octahedra; edges with four Mg(2,2)O6 octahedra; edges with four equivalent Mg(3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra; corners with four Mg(2,2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two Mg(2,2)O6 octahedra; edges with two equivalent Mg(3)O6 octahedra; edges with two equivalent Co(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third Mg site, Mg(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra; corners with four Mg(2,2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two Mg(2,2)O6 octahedra; edges with two equivalent Mg(3)O6 octahedra; edges with two equivalent Co(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fourth Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra; corners with four equivalent Mg(3)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two Mg(2,2)O6 octahedra; edges with two equivalent Mg(3)O6 octahedra; edges with two equivalent B(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the fifth Mg site, Mg(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with six equivalent Mg(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one B(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-20°. Co(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra; corners with four equivalent Mg(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; and edges with eight Mg(2,2)O6 octahedra. The corner-sharing octahedra are not tilted. B(1) is bonded to two equivalent O(6) and four O(2,2) atoms to form BO6 octahedra that share corners with two equivalent B(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), and one Co(1) atom to form OMg5Co octahedra that share corners with two equivalent O(2)Mg5B octahedra, corners with four equivalent O(1)Mg5Co octahedra, edges with two equivalent O(4)Mg4Co2 octahedra, edges with two equivalent O(2)Mg5B octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the second O site, O(2) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), and one B(1) atom to form distorted OMg5B octahedra that share corners with two equivalent O(1)Mg5Co octahedra; corners with four O(2,2)Mg5B octahedra; edges with two equivalent O(6)Mg4B2 octahedra; edges with two equivalent O(2)Mg5B octahedra; edges with two equivalent O(1)Mg5Co octahedra; edges with two equivalent O(5)Mg6 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the third O site, O(2) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), and one B(1) atom to form distorted OMg5B octahedra that share corners with two equivalent O(1)Mg5Co octahedra; corners with four O(2,2)Mg5B octahedra; edges with two equivalent O(6)Mg4B2 octahedra; edges with two equivalent O(2)Mg5B octahedra; edges with two equivalent O(1)Mg5Co octahedra; edges with two equivalent O(5)Mg6 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the fourth O site, O(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(6)Mg4B2 octahedra,  an edgeedge with one O(4)Mg4Co2 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(2)Mg5B octahedra, and edges with four equivalent O(1)Mg5Co octahedra. The corner-sharing octahedral tilt angles range from 2-3°. In the fifth O site, O(4) is bonded to four Mg(2,2) and two equivalent Co(1) atoms to form OMg4Co2 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(1)Mg5Co octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(5) is bonded to two equivalent Mg(1); two Mg(2,2); and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Mg4B2 octahedra; corners with two equivalent O(4)Mg4Co2 octahedra; corners with two equivalent O(5)Mg6 octahedra; edges with four O(2,2)Mg5B octahedra; edges with four equivalent O(1)Mg5Co octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the seventh O site, O(6) is bonded to four equivalent Mg(3) and two equivalent B(1) atoms to form OMg4B2 octahedra that share corners with two equivalent O(6)Mg4B2 octahedra; corners with four equivalent O(5)Mg6 octahedra; edges with four equivalent O(3)Mg6 octahedra; and edges with eight O(2,2)Mg5B octahedra. The corner-sharing octahedra are not tilted.
Mg14CoBO16 is Caswellsilverite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1); two O(2,2); and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Co(1)O6 octahedra; corners with two equivalent B(1)O6 octahedra; edges with four Mg(2,2)O6 octahedra; edges with four equivalent Mg(3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedra are not tilted. Both Mg(1)-O(1) bond lengths are 1.95 Å. Both Mg(1)-O(2,2) bond lengths are 2.47 Å. Both Mg(1)-O(5) bond lengths are 2.13 Å. In the second Mg site, Mg(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra; corners with four Mg(2,2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two Mg(2,2)O6 octahedra; edges with two equivalent Mg(3)O6 octahedra; edges with two equivalent Co(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. The Mg(2)-O(4) bond length is 2.06 Å. The Mg(2)-O(5) bond length is 2.15 Å. Both Mg(2)-O(1) bond lengths are 2.14 Å. Both Mg(2)-O(3) bond lengths are 2.11 Å. In the third Mg site, Mg(2) is bonded to one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra; corners with four Mg(2,2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two Mg(2,2)O6 octahedra; edges with two equivalent Mg(3)O6 octahedra; edges with two equivalent Co(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. The Mg(2)-O(4) bond length is 2.06 Å. The Mg(2)-O(5) bond length is 2.15 Å. Both Mg(2)-O(1) bond lengths are 2.14 Å. Both Mg(2)-O(3) bond lengths are 2.11 Å. In the fourth Mg site, Mg(3) is bonded to one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra; corners with four equivalent Mg(3)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two Mg(2,2)O6 octahedra; edges with two equivalent Mg(3)O6 octahedra; edges with two equivalent B(1)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. The Mg(3)-O(5) bond length is 2.17 Å. The Mg(3)-O(6) bond length is 2.04 Å. Both Mg(3)-O(2) bond lengths are 2.15 Å. Both Mg(3)-O(3) bond lengths are 2.10 Å. In the fifth Mg site, Mg(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with six equivalent Mg(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one B(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-20°. Both Mg(4)-O(1) bond lengths are 2.10 Å. Both Mg(4)-O(2) bond lengths are 2.15 Å. Both Mg(4)-O(3) bond lengths are 2.13 Å. Co(1) is bonded to two equivalent O(4) and four equivalent O(1) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra; corners with four equivalent Mg(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; and edges with eight Mg(2,2)O6 octahedra. The corner-sharing octahedra are not tilted. Both Co(1)-O(4) bond lengths are 2.13 Å. All Co(1)-O(1) bond lengths are 2.26 Å. B(1) is bonded to two equivalent O(6) and four O(2,2) atoms to form BO6 octahedra that share corners with two equivalent B(1)O6 octahedra, corners with four equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with eight equivalent Mg(3)O6 octahedra. The corner-sharing octahedra are not tilted. Both B(1)-O(6) bond lengths are 2.13 Å. All B(1)-O(2,2) bond lengths are 1.74 Å. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), and one Co(1) atom to form OMg5Co octahedra that share corners with two equivalent O(2)Mg5B octahedra, corners with four equivalent O(1)Mg5Co octahedra, edges with two equivalent O(4)Mg4Co2 octahedra, edges with two equivalent O(2)Mg5B octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the second O site, O(2) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), and one B(1) atom to form distorted OMg5B octahedra that share corners with two equivalent O(1)Mg5Co octahedra; corners with four O(2,2)Mg5B octahedra; edges with two equivalent O(6)Mg4B2 octahedra; edges with two equivalent O(2)Mg5B octahedra; edges with two equivalent O(1)Mg5Co octahedra; edges with two equivalent O(5)Mg6 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the third O site, O(2) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), and one B(1) atom to form distorted OMg5B octahedra that share corners with two equivalent O(1)Mg5Co octahedra; corners with four O(2,2)Mg5B octahedra; edges with two equivalent O(6)Mg4B2 octahedra; edges with two equivalent O(2)Mg5B octahedra; edges with two equivalent O(1)Mg5Co octahedra; edges with two equivalent O(5)Mg6 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. Both O(2)-Mg(3) bond lengths are 2.15 Å. Both O(2)-Mg(4) bond lengths are 2.15 Å. In the fourth O site, O(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(6)Mg4B2 octahedra,  an edgeedge with one O(4)Mg4Co2 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(2)Mg5B octahedra, and edges with four equivalent O(1)Mg5Co octahedra. The corner-sharing octahedral tilt angles range from 2-3°. In the fifth O site, O(4) is bonded to four Mg(2,2) and two equivalent Co(1) atoms to form OMg4Co2 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(1)Mg5Co octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(5) is bonded to two equivalent Mg(1); two Mg(2,2); and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Mg4B2 octahedra; corners with two equivalent O(4)Mg4Co2 octahedra; corners with two equivalent O(5)Mg6 octahedra; edges with four O(2,2)Mg5B octahedra; edges with four equivalent O(1)Mg5Co octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the seventh O site, O(6) is bonded to four equivalent Mg(3) and two equivalent B(1) atoms to form OMg4B2 octahedra that share corners with two equivalent O(6)Mg4B2 octahedra; corners with four equivalent O(5)Mg6 octahedra; edges with four equivalent O(3)Mg6 octahedra; and edges with eight O(2,2)Mg5B octahedra. The corner-sharing octahedra are not tilted.