CsMg14HfO15 crystallizes in the orthorhombic Pmm2 space group. Cs(1) is bonded in a 4-coordinate geometry to two equivalent O(10) and two equivalent O(6) atoms. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form distorted MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Hf(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-6°. In the second Mg site, Mg(2) is bonded to one O(2), two equivalent O(11), and two equivalent O(8) atoms to form MgO5 square pyramids that share corners with two equivalent Hf(1)O6 octahedra, corners with two equivalent Mg(2)O5 square pyramids, corners with two equivalent Mg(9)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), one O(6), one O(7), and two equivalent O(10) atoms to form MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-16°. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(5), one O(8), one O(9), and two equivalent O(11) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra, corners with four equivalent Mg(4)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Hf(1)O6 octahedra, edges with two equivalent Mg(2)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-11°. In the fifth Mg site, Mg(5) is bonded in a distorted T-shaped geometry to one O(8) and two equivalent O(4) atoms. In the sixth Mg site, Mg(6) is bonded to one O(7), one O(9), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(8)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 Hf(1)O6 octahedra, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-15°. In the seventh Mg site, Mg(7) is bonded to one O(6), one O(8), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-9°. In the eighth Mg site, Mg(8) is bonded to one O(7), one O(9), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)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 Hf(1)O6 octahedra, and edges with four equivalent Mg(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the ninth Mg site, Mg(9) is bonded to one O(1), one O(10), one O(11), and two equivalent O(4) atoms to form distorted MgO5 square pyramids that share corners with two equivalent Mg(10)O6 octahedra,  a cornercorner with one Mg(2)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Hf(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. In the tenth Mg site, Mg(10) is bonded to one O(10), one O(11), one O(2), one O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with four equivalent Mg(10)O6 octahedra, corners with two equivalent Mg(9)O5 square pyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Hf(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, and  an edgeedge with one Mg(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 6-18°. Hf(1) is bonded to one O(1), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form HfO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Hf(1)O6 octahedra, corners with two equivalent Mg(2)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-2°. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(6), two equivalent Mg(9), and one Hf(1) atom to form OHfMg5 octahedra that share corners with two equivalent O(1)HfMg5 octahedra, corners with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(9)Hf2Mg4 octahedra, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted OMg5 square pyramids that share corners with two equivalent O(10)CsMg5 octahedra, corners with two equivalent O(3)HfMg5 octahedra, corners with two equivalent O(2)Mg5 square pyramids, corners with two equivalent O(6)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(8)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 12-70°. In the third O site, O(3) is bonded to one Mg(1), two equivalent Mg(10), two equivalent Mg(8), and one Hf(1) atom to form OHfMg5 octahedra that share corners with two equivalent O(1)HfMg5 octahedra, corners with two equivalent O(3)HfMg5 octahedra, corners with two equivalent O(2)Mg5 square pyramids, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(9)Hf2Mg4 octahedra, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the fourth O site, O(4) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(9) atoms to form OMg6 octahedra that share corners with two equivalent O(5)Mg6 octahedra, corners with four equivalent O(4)Mg6 octahedra,  a cornercorner with one O(6)Cs2Mg3 trigonal bipyramid,  an edgeedge with one O(9)Hf2Mg4 octahedra,  an edgeedge with one O(7)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(1)HfMg5 octahedra, and edges with two equivalent O(11)HfMg5 octahedra. The corner-sharing octahedral tilt angles range from 2-19°. In the fifth O site, O(5) is bonded to one Mg(3), one Mg(4), one Mg(7), one Mg(8), and two equivalent Mg(10) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg6 octahedra, corners with four equivalent O(5)Mg6 octahedra,  an edgeedge with one O(9)Hf2Mg4 octahedra,  an edgeedge with one O(7)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(2)Mg5 square pyramids, and  an edgeedge with one O(6)Cs2Mg3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 2-13°. In the sixth O site, O(6) is bonded to two equivalent Cs(1), one Mg(7), and two equivalent Mg(3) atoms to form OCs2Mg3 trigonal bipyramids that share  a cornercorner with one O(8)Mg6 octahedra, corners with two equivalent O(4)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(2)Mg5 square pyramids, corners with two equivalent O(6)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)CsMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-81°. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(1), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(9)Hf2Mg4 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(6)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(1)HfMg5 octahedra, edges with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)CsMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(9)Hf2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra,  a cornercorner with one O(6)Cs2Mg3 trigonal bipyramid, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(11)HfMg5 octahedra, and edges with two equivalent O(2)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 1-6°. In the ninth O site, O(9) is bonded to one Mg(6), one Mg(8), two equivalent Mg(4), and two equivalent Hf(1) atoms to form OHf2Mg4 octahedra that share corners with two equivalent O(9)Hf2Mg4 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(1)HfMg5 octahedra, edges with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)HfMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the tenth O site, O(10) is bonded to one Cs(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form distorted OCsMg5 octahedra that share corners with two equivalent O(11)HfMg5 octahedra, corners with four equivalent O(10)CsMg5 octahedra,  a cornercorner with one O(2)Mg5 square pyramid,  an edgeedge with one O(1)HfMg5 octahedra,  an edgeedge with one O(3)HfMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(7)Mg6 octahedra, and edges with two equivalent O(6)Cs2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 3-30°. In the eleventh O site, O(11) is bonded to one Mg(10), one Mg(2), one Mg(9), two equivalent Mg(4), and one Hf(1) atom to form OHfMg5 octahedra that share corners with two equivalent O(10)CsMg5 octahedra, corners with four equivalent O(11)HfMg5 octahedra,  an edgeedge with one O(1)HfMg5 octahedra,  an edgeedge with one O(3)HfMg5 octahedra, edges with two equivalent O(9)Hf2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(8)Mg6 octahedra, and  an edgeedge with one O(2)Mg5 square pyramid. The corner-sharing octahedral tilt angles range from 0-18°.
CsMg14HfO15 crystallizes in the orthorhombic Pmm2 space group. Cs(1) is bonded in a 4-coordinate geometry to two equivalent O(10) and two equivalent O(6) atoms. Both Cs(1)-O(10) bond lengths are 2.62 Å. Both Cs(1)-O(6) bond lengths are 2.40 Å. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form distorted MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Hf(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-6°. The Mg(1)-O(1) bond length is 2.54 Å. The Mg(1)-O(3) bond length is 2.17 Å. Both Mg(1)-O(10) bond lengths are 1.96 Å. Both Mg(1)-O(7) bond lengths are 2.17 Å. In the second Mg site, Mg(2) is bonded to one O(2), two equivalent O(11), and two equivalent O(8) atoms to form MgO5 square pyramids that share corners with two equivalent Hf(1)O6 octahedra, corners with two equivalent Mg(2)O5 square pyramids, corners with two equivalent Mg(9)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 2°. The Mg(2)-O(2) bond length is 2.00 Å. Both Mg(2)-O(11) bond lengths are 2.39 Å. Both Mg(2)-O(8) bond lengths are 2.17 Å. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), one O(6), one O(7), and two equivalent O(10) atoms to form MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-16°. The Mg(3)-O(4) bond length is 2.37 Å. The Mg(3)-O(5) bond length is 2.20 Å. The Mg(3)-O(6) bond length is 2.30 Å. The Mg(3)-O(7) bond length is 2.21 Å. Both Mg(3)-O(10) bond lengths are 2.18 Å. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(5), one O(8), one O(9), and two equivalent O(11) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra, corners with four equivalent Mg(4)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Hf(1)O6 octahedra, edges with two equivalent Mg(2)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-11°. The Mg(4)-O(4) bond length is 2.36 Å. The Mg(4)-O(5) bond length is 2.14 Å. The Mg(4)-O(8) bond length is 2.19 Å. The Mg(4)-O(9) bond length is 2.30 Å. Both Mg(4)-O(11) bond lengths are 2.17 Å. In the fifth Mg site, Mg(5) is bonded in a distorted T-shaped geometry to one O(8) and two equivalent O(4) atoms. The Mg(5)-O(8) bond length is 2.01 Å. Both Mg(5)-O(4) bond lengths are 2.34 Å. In the sixth Mg site, Mg(6) is bonded to one O(7), one O(9), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(8)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 Hf(1)O6 octahedra, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-15°. The Mg(6)-O(7) bond length is 2.14 Å. The Mg(6)-O(9) bond length is 2.49 Å. Both Mg(6)-O(1) bond lengths are 2.18 Å. Both Mg(6)-O(4) bond lengths are 2.19 Å. In the seventh Mg site, Mg(7) is bonded to one O(6), one O(8), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-9°. The Mg(7)-O(6) bond length is 1.91 Å. The Mg(7)-O(8) bond length is 2.05 Å. Both Mg(7)-O(2) bond lengths are 2.17 Å. Both Mg(7)-O(5) bond lengths are 2.32 Å. In the eighth Mg site, Mg(8) is bonded to one O(7), one O(9), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)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 Hf(1)O6 octahedra, and edges with four equivalent Mg(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. The Mg(8)-O(7) bond length is 2.15 Å. The Mg(8)-O(9) bond length is 2.28 Å. Both Mg(8)-O(3) bond lengths are 2.17 Å. Both Mg(8)-O(5) bond lengths are 2.18 Å. In the ninth Mg site, Mg(9) is bonded to one O(1), one O(10), one O(11), and two equivalent O(4) atoms to form distorted MgO5 square pyramids that share corners with two equivalent Mg(10)O6 octahedra,  a cornercorner with one Mg(2)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Hf(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. The Mg(9)-O(1) bond length is 2.10 Å. The Mg(9)-O(10) bond length is 2.39 Å. The Mg(9)-O(11) bond length is 2.32 Å. Both Mg(9)-O(4) bond lengths are 2.17 Å. In the tenth Mg site, Mg(10) is bonded to one O(10), one O(11), one O(2), one O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with four equivalent Mg(10)O6 octahedra, corners with two equivalent Mg(9)O5 square pyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Hf(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, and  an edgeedge with one Mg(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 6-18°. The Mg(10)-O(10) bond length is 2.13 Å. The Mg(10)-O(11) bond length is 2.27 Å. The Mg(10)-O(2) bond length is 2.14 Å. The Mg(10)-O(3) bond length is 2.38 Å. Both Mg(10)-O(5) bond lengths are 2.18 Å. Hf(1) is bonded to one O(1), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form HfO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Hf(1)O6 octahedra, corners with two equivalent Mg(2)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-2°. The Hf(1)-O(1) bond length is 2.23 Å. The Hf(1)-O(3) bond length is 2.12 Å. Both Hf(1)-O(11) bond lengths are 2.10 Å. Both Hf(1)-O(9) bond lengths are 2.16 Å. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(6), two equivalent Mg(9), and one Hf(1) atom to form OHfMg5 octahedra that share corners with two equivalent O(1)HfMg5 octahedra, corners with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(9)Hf2Mg4 octahedra, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted OMg5 square pyramids that share corners with two equivalent O(10)CsMg5 octahedra, corners with two equivalent O(3)HfMg5 octahedra, corners with two equivalent O(2)Mg5 square pyramids, corners with two equivalent O(6)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(8)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 12-70°. In the third O site, O(3) is bonded to one Mg(1), two equivalent Mg(10), two equivalent Mg(8), and one Hf(1) atom to form OHfMg5 octahedra that share corners with two equivalent O(1)HfMg5 octahedra, corners with two equivalent O(3)HfMg5 octahedra, corners with two equivalent O(2)Mg5 square pyramids, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(9)Hf2Mg4 octahedra, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the fourth O site, O(4) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(9) atoms to form OMg6 octahedra that share corners with two equivalent O(5)Mg6 octahedra, corners with four equivalent O(4)Mg6 octahedra,  a cornercorner with one O(6)Cs2Mg3 trigonal bipyramid,  an edgeedge with one O(9)Hf2Mg4 octahedra,  an edgeedge with one O(7)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(1)HfMg5 octahedra, and edges with two equivalent O(11)HfMg5 octahedra. The corner-sharing octahedral tilt angles range from 2-19°. In the fifth O site, O(5) is bonded to one Mg(3), one Mg(4), one Mg(7), one Mg(8), and two equivalent Mg(10) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg6 octahedra, corners with four equivalent O(5)Mg6 octahedra,  an edgeedge with one O(9)Hf2Mg4 octahedra,  an edgeedge with one O(7)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra, edges with two equivalent O(10)CsMg5 octahedra, edges with two equivalent O(11)HfMg5 octahedra, edges with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(2)Mg5 square pyramids, and  an edgeedge with one O(6)Cs2Mg3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 2-13°. In the sixth O site, O(6) is bonded to two equivalent Cs(1), one Mg(7), and two equivalent Mg(3) atoms to form OCs2Mg3 trigonal bipyramids that share  a cornercorner with one O(8)Mg6 octahedra, corners with two equivalent O(4)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(2)Mg5 square pyramids, corners with two equivalent O(6)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)CsMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-81°. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(1), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(9)Hf2Mg4 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(6)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(1)HfMg5 octahedra, edges with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)CsMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(9)Hf2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra,  a cornercorner with one O(6)Cs2Mg3 trigonal bipyramid, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(11)HfMg5 octahedra, and edges with two equivalent O(2)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 1-6°. In the ninth O site, O(9) is bonded to one Mg(6), one Mg(8), two equivalent Mg(4), and two equivalent Hf(1) atoms to form OHf2Mg4 octahedra that share corners with two equivalent O(9)Hf2Mg4 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(1)HfMg5 octahedra, edges with two equivalent O(3)HfMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)HfMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the tenth O site, O(10) is bonded to one Cs(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form distorted OCsMg5 octahedra that share corners with two equivalent O(11)HfMg5 octahedra, corners with four equivalent O(10)CsMg5 octahedra,  a cornercorner with one O(2)Mg5 square pyramid,  an edgeedge with one O(1)HfMg5 octahedra,  an edgeedge with one O(3)HfMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(7)Mg6 octahedra, and edges with two equivalent O(6)Cs2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 3-30°. In the eleventh O site, O(11) is bonded to one Mg(10), one Mg(2), one Mg(9), two equivalent Mg(4), and one Hf(1) atom to form OHfMg5 octahedra that share corners with two equivalent O(10)CsMg5 octahedra, corners with four equivalent O(11)HfMg5 octahedra,  an edgeedge with one O(1)HfMg5 octahedra,  an edgeedge with one O(3)HfMg5 octahedra, edges with two equivalent O(9)Hf2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(8)Mg6 octahedra, and  an edgeedge with one O(2)Mg5 square pyramid. The corner-sharing octahedral tilt angles range from 0-18°.