RbMg14Sn crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5); and two equivalent Sn(1) atoms to form RbMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra. There are thirteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with four Mg(4,4,4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Sn(1) atoms. 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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 two equivalent Mg(7)RbMg11 cuboctahedra. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Sn(1) atoms. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. In the eighth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Sn(1) atom. In the ninth Mg site, Mg(7) is bonded to one Rb(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with six equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra;  a faceface with one Rb(1)Mg10Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Sn(1)Rb2Mg10 cuboctahedra. In the tenth 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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 two equivalent Mg(7)RbMg11 cuboctahedra. In the eleventh Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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 two equivalent Mg(7)RbMg11 cuboctahedra. In the twelfth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. Sn(1) is bonded to two equivalent Rb(1); two equivalent Mg(6); four Mg(3,3); and four Mg(5,5) atoms to form SnRb2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra.
RbMg14Sn crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5); and two equivalent Sn(1) atoms to form RbMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra. Both Rb(1)-Mg(7) bond lengths are 3.45 Å. All Rb(1)-Mg(3,3) bond lengths are 3.27 Å. All Rb(1)-Mg(5,5) bond lengths are 3.42 Å. Both Rb(1)-Sn(1) bond lengths are 3.34 Å. There are thirteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.33 Å. Both Mg(1)-Mg(6) bond lengths are 3.29 Å. There are two shorter (3.24 Å) and two longer (3.30 Å) Mg(1)-Mg(4,4,4) bond lengths. All Mg(1)-Mg(5,5) bond lengths are 3.14 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with four Mg(4,4,4)Mg12 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.17 Å. There are two shorter (3.27 Å) and two longer (3.28 Å) Mg(2)-Mg(4,4,4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.20 Å. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Sn(1) atoms. There is one shorter (3.26 Å) and one longer (3.41 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.36 Å. Both Mg(3)-Mg(6) bond lengths are 3.27 Å. Both Mg(3)-Mg(7) bond lengths are 3.39 Å. There is one shorter (3.17 Å) and one longer (3.37 Å) Mg(3)-Sn(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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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 two equivalent Mg(7)RbMg11 cuboctahedra. There is one shorter (3.30 Å) and one longer (3.37 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 3.29 Å. Both Mg(4)-Mg(7) bond lengths are 3.13 Å. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Sn(1) atoms. Both Mg(3)-Mg(5,5) bond lengths are 3.36 Å. Both Mg(3)-Mg(6) bond lengths are 3.27 Å. Both Mg(3)-Mg(7) bond lengths are 3.39 Å. There is one shorter (3.17 Å) and one longer (3.37 Å) Mg(3)-Sn(1) bond length. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. There is one shorter (3.22 Å) and one longer (3.45 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.26 Å) and one longer (3.29 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.17 Å) and one longer (3.37 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Sn(1) bond length is 3.34 Å. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. The Mg(5)-Mg(4) bond length is 3.15 Å. There is one shorter (3.22 Å) and one longer (3.45 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.26 Å) and one longer (3.29 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.17 Å) and one longer (3.37 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Sn(1) bond length is 3.34 Å. In the eighth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Sn(1) atom. The Mg(6)-Mg(4) bond length is 3.29 Å. Both Mg(6)-Mg(7) bond lengths are 3.34 Å. The Mg(6)-Mg(5) bond length is 3.29 Å. The Mg(6)-Sn(1) bond length is 3.28 Å. In the ninth Mg site, Mg(7) is bonded to one Rb(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with six equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra;  a faceface with one Rb(1)Mg10Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Sn(1)Rb2Mg10 cuboctahedra. The Mg(7)-Mg(4) bond length is 3.13 Å. The Mg(7)-Mg(5) bond length is 3.17 Å. In the tenth 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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 two equivalent Mg(7)RbMg11 cuboctahedra. There is one shorter (3.30 Å) and one longer (3.37 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 3.29 Å. Both Mg(4)-Mg(7) bond lengths are 3.13 Å. In the eleventh Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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 two equivalent Mg(7)RbMg11 cuboctahedra. Both Mg(4)-Mg(5,5) bond lengths are 3.15 Å. In the twelfth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. The Mg(5)-Rb(1) bond length is 3.42 Å. The Mg(5)-Mg(1) bond length is 3.14 Å. The Mg(5)-Mg(2) bond length is 3.20 Å. The Mg(5)-Mg(3) bond length is 3.36 Å. The Mg(5)-Sn(1) bond length is 3.34 Å. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Sn(1) atom. The Mg(5)-Rb(1) bond length is 3.42 Å. The Mg(5)-Mg(1) bond length is 3.14 Å. The Mg(5)-Mg(2) bond length is 3.20 Å. The Mg(5)-Mg(3) bond length is 3.36 Å. There is one shorter (3.22 Å) and one longer (3.45 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.26 Å) and one longer (3.29 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.17 Å) and one longer (3.37 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Sn(1) bond length is 3.34 Å. Sn(1) is bonded to two equivalent Rb(1); two equivalent Mg(6); four Mg(3,3); and four Mg(5,5) atoms to form SnRb2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra.