NaMg14CoO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. Na(1) is bonded to two equivalent O(6) and four equivalent O(2) atoms to form NaO6 octahedra that share corners with two equivalent Na(1)O6 octahedra; corners with four equivalent Mg(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; and edges with eight Mg(3,3,3)O6 octahedra. The corner-sharing octahedra are not tilted. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Na(1)O6 octahedra; corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Co(1)O6 octahedra; edges with four equivalent Mg(2)O6 octahedra; edges with four Mg(3,3)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 equivalent Mg(2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)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 0-9°. In the third 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 Mg(3,3)O6 octahedra; edges with two equivalent Na(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. 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 Mg(3,3)O6 octahedra; edges with two equivalent Na(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the fifth 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 Mg(3,3)O6 octahedra; edges with two equivalent Na(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the sixth 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 Na(1)O6 octahedra,  an edgeedge with one Co(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 4-10°. 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 equivalent Mg(2)O6 octahedra. The corner-sharing octahedra are not tilted. There are six 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)NaMg5 octahedra, corners with four equivalent O(1)Mg5Co octahedra, edges with two equivalent O(4)Mg4Co2 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(2)NaMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to one Na(1), one Mg(1), two equivalent Mg(3), and two equivalent Mg(4) atoms to form ONaMg5 octahedra that share corners with two equivalent O(1)Mg5Co octahedra, corners with four equivalent O(2)NaMg5 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(6)Na2Mg4 octahedra, edges with two equivalent O(2)NaMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the third 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(4)Mg4Co2 octahedra,  an edgeedge with one O(6)Na2Mg4 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(1)Mg5Co octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the fourth O site, O(4) is bonded to four equivalent Mg(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 fifth O site, O(5) is bonded to two equivalent Mg(1); two equivalent Mg(2); and two Mg(3,3) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with two equivalent O(5)Mg6 octahedra, corners with two equivalent O(6)Na2Mg4 octahedra, edges with four equivalent O(1)Mg5Co octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Na(1) and four Mg(3,3,3) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(6)Na2Mg4 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted.
NaMg14CoO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. Na(1) is bonded to two equivalent O(6) and four equivalent O(2) atoms to form NaO6 octahedra that share corners with two equivalent Na(1)O6 octahedra; corners with four equivalent Mg(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; and edges with eight Mg(3,3,3)O6 octahedra. The corner-sharing octahedra are not tilted. Both Na(1)-O(6) bond lengths are 2.13 Å. All Na(1)-O(2) bond lengths are 2.28 Å. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Na(1)O6 octahedra; corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Co(1)O6 octahedra; edges with four equivalent Mg(2)O6 octahedra; edges with four Mg(3,3)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 2.28 Å. Both Mg(1)-O(2) bond lengths are 1.98 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 equivalent Mg(2)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)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 0-9°. The Mg(2)-O(4) bond length is 2.14 Å. The Mg(2)-O(5) bond length is 2.12 Å. Both Mg(2)-O(1) bond lengths are 2.13 Å. Both Mg(2)-O(3) bond lengths are 2.11 Å. In the third 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 Mg(3,3)O6 octahedra; edges with two equivalent Na(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. The Mg(3)-O(5) bond length is 2.17 Å. The Mg(3)-O(6) bond length is 2.09 Å. Both Mg(3)-O(2) bond lengths are 2.14 Å. Both Mg(3)-O(3) bond lengths are 2.15 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 Mg(3,3)O6 octahedra; edges with two equivalent Na(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. The Mg(3)-O(5) bond length is 2.17 Å. The Mg(3)-O(6) bond length is 2.09 Å. Both Mg(3)-O(2) bond lengths are 2.14 Å. Both Mg(3)-O(3) bond lengths are 2.15 Å. In the fifth 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 Mg(3,3)O6 octahedra; edges with two equivalent Na(1)O6 octahedra; edges with two equivalent Mg(1)O6 octahedra; edges with two equivalent Mg(2)O6 octahedra; edges with two Mg(3,3)O6 octahedra; and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. The Mg(3)-O(5) bond length is 2.17 Å. The Mg(3)-O(6) bond length is 2.09 Å. Both Mg(3)-O(2) bond lengths are 2.14 Å. Both Mg(3)-O(3) bond lengths are 2.15 Å. In the sixth 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 Na(1)O6 octahedra,  an edgeedge with one Co(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 4-10°. Both Mg(4)-O(1) bond lengths are 2.17 Å. Both Mg(4)-O(2) bond lengths are 2.11 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 equivalent Mg(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 1.98 Å. There are six 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)NaMg5 octahedra, corners with four equivalent O(1)Mg5Co octahedra, edges with two equivalent O(4)Mg4Co2 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(2)NaMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the second O site, O(2) is bonded to one Na(1), one Mg(1), two equivalent Mg(3), and two equivalent Mg(4) atoms to form ONaMg5 octahedra that share corners with two equivalent O(1)Mg5Co octahedra, corners with four equivalent O(2)NaMg5 octahedra, edges with two equivalent O(1)Mg5Co octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(6)Na2Mg4 octahedra, edges with two equivalent O(2)NaMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the third 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(4)Mg4Co2 octahedra,  an edgeedge with one O(6)Na2Mg4 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(1)Mg5Co octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the fourth O site, O(4) is bonded to four equivalent Mg(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 fifth O site, O(5) is bonded to two equivalent Mg(1); two equivalent Mg(2); and two Mg(3,3) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg4Co2 octahedra, corners with two equivalent O(5)Mg6 octahedra, corners with two equivalent O(6)Na2Mg4 octahedra, edges with four equivalent O(1)Mg5Co octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Na(1) and four Mg(3,3,3) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(6)Na2Mg4 octahedra, corners with four equivalent O(5)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with eight equivalent O(2)NaMg5 octahedra. The corner-sharing octahedra are not tilted.