CaMg14Zr crystallizes in the orthorhombic Amm2 space group. Ca(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5); and two equivalent Zr(1) atoms to form CaMg10Zr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Ca(1)Mg10Zr2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with six equivalent Mg(7)Mg11Zr cuboctahedra. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Zr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ca(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)CaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; and faces with eight Mg(5,5)CaMg10Zr cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ca(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with eight Mg(5,5)CaMg10Zr cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; and faces with eight Mg(5,5)CaMg10Zr cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Ca(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zr(1) atom to form distorted MgCaMg10Zr cuboctahedra that share corners with four equivalent Mg(6)CaMg11 cuboctahedra; corners with four equivalent Mg(7)Mg11Zr cuboctahedra; corners with ten Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)CaMg10Zr cuboctahedra; edges with two equivalent Mg(6)CaMg11 cuboctahedra; edges with two equivalent Mg(7)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zr(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Ca(1); one Mg(1); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(7); and four Mg(5,5) atoms to form distorted MgCaMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Zr cuboctahedra; corners with six equivalent Mg(6)CaMg11 cuboctahedra; corners with eight Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(7)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Zr(1)Ca2Mg10 cuboctahedra; and faces with four Mg(5,5)CaMg10Zr cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(6)CaMg11 cuboctahedra; corners with six equivalent Mg(7)Mg11Zr cuboctahedra; corners with eight Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Mg(6)CaMg11 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zr(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with four Mg(5,5)CaMg10Zr cuboctahedra. In the ninth Mg site, Mg(5) is bonded to one Ca(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zr(1) atom to form distorted MgCaMg10Zr cuboctahedra that share corners with four equivalent Mg(6)CaMg11 cuboctahedra; corners with four equivalent Mg(7)Mg11Zr cuboctahedra; corners with ten Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)CaMg10Zr cuboctahedra; edges with two equivalent Mg(6)CaMg11 cuboctahedra; edges with two equivalent Mg(7)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zr(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. Zr(1) is bonded to two equivalent Ca(1); two equivalent Mg(7); four Mg(3,3); and four Mg(5,5) atoms to form ZrCa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Zr(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with six equivalent Mg(6)CaMg11 cuboctahedra.
CaMg14Zr crystallizes in the orthorhombic Amm2 space group. Ca(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5); and two equivalent Zr(1) atoms to form CaMg10Zr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Ca(1)Mg10Zr2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with six equivalent Mg(7)Mg11Zr cuboctahedra. Both Ca(1)-Mg(6) bond lengths are 3.27 Å. There are two shorter (3.23 Å) and two longer (3.27 Å) Ca(1)-Mg(3,3) bond lengths. All Ca(1)-Mg(5,5) bond lengths are 3.26 Å. Both Ca(1)-Zr(1) bond lengths are 3.29 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Zr cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.29 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. All Mg(1)-Mg(4) bond lengths are 3.25 Å. All Mg(1)-Mg(5,5) bond lengths are 3.19 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ca(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)CaMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.21 Å. There are two shorter (3.24 Å) and two longer (3.27 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.14 Å. In the third Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; and faces with eight Mg(5,5)CaMg10Zr cuboctahedra. There is one shorter (3.26 Å) and one longer (3.32 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.23 Å. Both Mg(3)-Mg(6) bond lengths are 3.24 Å. Both Mg(3)-Mg(7) bond lengths are 3.17 Å. There is one shorter (3.17 Å) and one longer (3.34 Å) Mg(3)-Zr(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ca(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with eight Mg(5,5)CaMg10Zr cuboctahedra. There is one shorter (3.27 Å) and one longer (3.31 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.16 Å. Both Mg(4)-Mg(6) bond lengths are 3.14 Å. Both Mg(4)-Mg(7) bond lengths are 3.23 Å. In the fifth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgCa2Mg8Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with six Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(6)CaMg11 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zr(1)Ca2Mg10 cuboctahedra; and faces with eight Mg(5,5)CaMg10Zr cuboctahedra. There is one shorter (3.26 Å) and one longer (3.32 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.23 Å. Both Mg(3)-Mg(6) bond lengths are 3.24 Å. Both Mg(3)-Mg(7) bond lengths are 3.17 Å. There is one shorter (3.17 Å) and one longer (3.34 Å) Mg(3)-Zr(1) bond length. In the sixth Mg site, Mg(5) is bonded to one Ca(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zr(1) atom to form distorted MgCaMg10Zr cuboctahedra that share corners with four equivalent Mg(6)CaMg11 cuboctahedra; corners with four equivalent Mg(7)Mg11Zr cuboctahedra; corners with ten Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)CaMg10Zr cuboctahedra; edges with two equivalent Mg(6)CaMg11 cuboctahedra; edges with two equivalent Mg(7)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zr(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.19 Å) and one longer (3.39 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.19 Å) and one longer (3.32 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.21 Å) and one longer (3.30 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zr(1) bond length is 3.19 Å. In the seventh Mg site, Mg(6) is bonded to one Ca(1); one Mg(1); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(7); and four Mg(5,5) atoms to form distorted MgCaMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Zr cuboctahedra; corners with six equivalent Mg(6)CaMg11 cuboctahedra; corners with eight Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(7)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Zr(1)Ca2Mg10 cuboctahedra; and faces with four Mg(5,5)CaMg10Zr cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.29 Å. There is one shorter (3.19 Å) and one longer (3.32 Å) Mg(6)-Mg(5) bond length. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(6)CaMg11 cuboctahedra; corners with six equivalent Mg(7)Mg11Zr cuboctahedra; corners with eight Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Mg(6)CaMg11 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)CaMg10Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zr(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with four Mg(5,5)CaMg10Zr cuboctahedra. There is one shorter (3.21 Å) and one longer (3.30 Å) Mg(7)-Mg(5) bond length. The Mg(7)-Zr(1) bond length is 3.20 Å. In the ninth Mg site, Mg(5) is bonded to one Ca(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zr(1) atom to form distorted MgCaMg10Zr cuboctahedra that share corners with four equivalent Mg(6)CaMg11 cuboctahedra; corners with four equivalent Mg(7)Mg11Zr cuboctahedra; corners with ten Mg(5,5)CaMg10Zr cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)CaMg10Zr cuboctahedra; edges with two equivalent Mg(6)CaMg11 cuboctahedra; edges with two equivalent Mg(7)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Ca2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zr(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(6)CaMg11 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. The Mg(5)-Mg(3) bond length is 3.23 Å. The Mg(5)-Mg(4) bond length is 3.16 Å. The Mg(5)-Zr(1) bond length is 3.19 Å. Zr(1) is bonded to two equivalent Ca(1); two equivalent Mg(7); four Mg(3,3); and four Mg(5,5) atoms to form ZrCa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Zr(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg10Zr2 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)Mg11Zr cuboctahedra; edges with eight Mg(5,5)CaMg10Zr cuboctahedra; faces with two equivalent Ca(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)CaMg10Zr cuboctahedra; and faces with six equivalent Mg(6)CaMg11 cuboctahedra.