SrMg14Zr crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with twelve Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zr(1) atoms to form MgMg10Zr2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zr2 cuboctahedra; corners with eight Mg(2,2)Sr2Mg10 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)SrMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Sr2Mg10 cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zr2 cuboctahedra; and faces with ten Mg(3,3)SrMg10Zr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Sr(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with eight equivalent Mg(3)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrMg10Zr cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Sr(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrMg10Zr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Zr(1) atom to form distorted MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Zr cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Zr(1) atom to form distorted MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(3)SrMg10Zr cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)SrMg10Zr cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with six Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with three Mg(2,2)Sr2Mg10 cuboctahedra; faces with three equivalent Zr(1)Mg12 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. Zr(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZrMg12 cuboctahedra that share corners with six equivalent Zr(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with twelve Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra.
SrMg14Zr crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with twelve Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. All Sr(1)-Mg(2,2) bond lengths are 3.31 Å. All Sr(1)-Mg(3,3) bond lengths are 3.32 Å. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zr(1) atoms to form MgMg10Zr2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zr2 cuboctahedra; corners with eight Mg(2,2)Sr2Mg10 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)SrMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Sr2Mg10 cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zr2 cuboctahedra; and faces with ten Mg(3,3)SrMg10Zr cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.23 Å. There are two shorter (3.29 Å) and two longer (3.33 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3) bond lengths are 3.10 Å. Both Mg(1)-Zr(1) bond lengths are 3.31 Å. In the second Mg site, Mg(2) is bonded to two equivalent Sr(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with eight equivalent Mg(3)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrMg10Zr cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.22 Å. There are two shorter (3.21 Å) and two longer (3.41 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3) bond lengths are 3.27 Å. In the third Mg site, Mg(2) is bonded to two equivalent Sr(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3)SrMg10Zr cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.22 Å. All Mg(2)-Mg(3,3) bond lengths are 3.27 Å. In the fourth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Zr(1) atom to form distorted MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Zr cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.31 Å. There are two shorter (3.25 Å) and two longer (3.37 Å) Mg(3)-Mg(3,3) bond lengths. The Mg(3)-Zr(1) bond length is 3.14 Å. In the fifth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Zr(1) atom to form distorted MgSrMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)SrMg10Zr cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(3)SrMg10Zr cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.10 Å. The Mg(3)-Mg(2) bond length is 3.27 Å. Both Mg(3)-Mg(4) bond lengths are 3.31 Å. The Mg(3)-Zr(1) bond length is 3.14 Å. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)SrMg10Zr cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with six Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with three Mg(2,2)Sr2Mg10 cuboctahedra; faces with three equivalent Zr(1)Mg12 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra. Zr(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZrMg12 cuboctahedra that share corners with six equivalent Zr(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with twelve Mg(3,3)SrMg10Zr cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)SrMg10Zr cuboctahedra.