SrMg14Zr is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. Sr(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5); and two equivalent Zr(1) atoms to form SrMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sr(1)Mg10Zr2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; faces with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. There are ten 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 Sr(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(7)SrMg11 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 Zr(1)Sr2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Sr(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 MgSr2Mg8Zr2 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 equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr 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 Sr(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Sr2Mg10 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(6)Mg11Zr cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Mg(6)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; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Sr(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 MgSr2Mg8Zr2 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)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Sr(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 MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with four equivalent Mg(7)SrMg11 cuboctahedra; corners with ten Mg(5,5)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)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 Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)SrMg10Zr cuboctahedra; edges with two equivalent Mg(7)SrMg11 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra;  a faceface with one Sr(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)Sr2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. In the seventh Mg site, Mg(5) is bonded to one Sr(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 MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with four equivalent Mg(7)SrMg11 cuboctahedra; corners with ten equivalent Mg(5)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)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 Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)SrMg10Zr cuboctahedra; edges with two equivalent Mg(7)SrMg11 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra;  a faceface with one Sr(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)Sr2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(3,3)Sr2Mg8Zr2 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)SrMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Zr cuboctahedra; corners with eight Mg(5,5)SrMg10Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)SrMg11 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Sr2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with three equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Sr(1); one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5) atoms to form distorted MgSrMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with six equivalent Mg(7)SrMg11 cuboctahedra; corners with eight Mg(5,5)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra;  a faceface with one Sr(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. In the tenth Mg site, Mg(3) is bonded to two equivalent Sr(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 MgSr2Mg8Zr2 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)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. Zr(1) is bonded to two equivalent Sr(1); two equivalent Mg(6); four Mg(3,3,3); and four Mg(5,5) atoms to form distorted ZrSr2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zr(1)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(7)SrMg11 cuboctahedra.
SrMg14Zr is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. Sr(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5); and two equivalent Zr(1) atoms to form SrMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sr(1)Mg10Zr2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; faces with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Both Sr(1)-Mg(7) bond lengths are 3.36 Å. There are two shorter (3.28 Å) and two longer (3.30 Å) Sr(1)-Mg(3,3,3) bond lengths. All Sr(1)-Mg(5,5) bond lengths are 3.35 Å. Both Sr(1)-Zr(1) bond lengths are 3.31 Å. There are ten 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 Sr(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(7)SrMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.31 Å. Both Mg(1)-Mg(6) bond lengths are 3.25 Å. There are two shorter (3.26 Å) and two longer (3.32 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5,5) bond lengths are 3.12 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 Zr(1)Sr2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.17 Å. There are two shorter (3.28 Å) and two longer (3.30 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.19 Å. In the third Mg site, Mg(3) is bonded to two equivalent Sr(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 MgSr2Mg8Zr2 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 equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. There is one shorter (3.30 Å) and one longer (3.31 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.29 Å. Both Mg(3)-Mg(6) bond lengths are 3.19 Å. Both Mg(3)-Mg(7) bond lengths are 3.31 Å. There is one shorter (3.15 Å) and one longer (3.43 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 Sr(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Sr2Mg10 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(6)Mg11Zr cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Mg(6)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; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. There is one shorter (3.25 Å) and one longer (3.36 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.15 Å. Both Mg(4)-Mg(6) bond lengths are 3.27 Å. Both Mg(4)-Mg(7) bond lengths are 3.12 Å. In the fifth Mg site, Mg(3) is bonded to two equivalent Sr(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 MgSr2Mg8Zr2 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)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. There is one shorter (3.30 Å) and one longer (3.31 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.29 Å. Both Mg(3)-Mg(6) bond lengths are 3.19 Å. Both Mg(3)-Mg(7) bond lengths are 3.31 Å. There is one shorter (3.15 Å) and one longer (3.43 Å) Mg(3)-Zr(1) bond length. In the sixth Mg site, Mg(5) is bonded to one Sr(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 MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with four equivalent Mg(7)SrMg11 cuboctahedra; corners with ten Mg(5,5)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)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 Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)SrMg10Zr cuboctahedra; edges with two equivalent Mg(7)SrMg11 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra;  a faceface with one Sr(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)Sr2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. There is one shorter (3.18 Å) and one longer (3.44 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.24 Å) and one longer (3.34 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.18 Å) and one longer (3.40 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zr(1) bond length is 3.23 Å. In the seventh Mg site, Mg(5) is bonded to one Sr(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 MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with four equivalent Mg(7)SrMg11 cuboctahedra; corners with ten equivalent Mg(5)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)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 Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(5)SrMg10Zr cuboctahedra; edges with two equivalent Mg(7)SrMg11 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra;  a faceface with one Sr(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)Sr2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(3,3)Sr2Mg8Zr2 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. The Mg(5)-Mg(4) bond length is 3.15 Å. There is one shorter (3.24 Å) and one longer (3.34 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.18 Å) and one longer (3.40 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zr(1) bond length is 3.23 Å. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)SrMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Zr cuboctahedra; corners with eight Mg(5,5)SrMg10Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)SrMg11 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Sr2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with three equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. The Mg(6)-Mg(3) bond length is 3.19 Å. Both Mg(6)-Mg(7) bond lengths are 3.31 Å. The Mg(6)-Zr(1) bond length is 3.25 Å. In the ninth Mg site, Mg(7) is bonded to one Sr(1); one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5) atoms to form distorted MgSrMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with six equivalent Mg(7)SrMg11 cuboctahedra; corners with eight Mg(5,5)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with four Mg(5,5)SrMg10Zr cuboctahedra;  a faceface with one Sr(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with four Mg(5,5)SrMg10Zr cuboctahedra. The Mg(7)-Mg(3) bond length is 3.31 Å. In the tenth Mg site, Mg(3) is bonded to two equivalent Sr(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 MgSr2Mg8Zr2 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)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(5)SrMg10Zr cuboctahedra; edges with four equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Sr2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)SrMg11 cuboctahedra; faces with two equivalent Zr(1)Sr2Mg10 cuboctahedra; and faces with eight Mg(5,5)SrMg10Zr cuboctahedra. Both Mg(3)-Mg(5) bond lengths are 3.29 Å. There is one shorter (3.15 Å) and one longer (3.43 Å) Mg(3)-Zr(1) bond length. Zr(1) is bonded to two equivalent Sr(1); two equivalent Mg(6); four Mg(3,3,3); and four Mg(5,5) atoms to form distorted ZrSr2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zr(1)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sr(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; edges with eight Mg(5,5)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(3,3,3)Sr2Mg8Zr2 cuboctahedra; faces with four Mg(5,5)SrMg10Zr cuboctahedra; and faces with six equivalent Mg(7)SrMg11 cuboctahedra.