RbBaMg14 crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form RbBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Rb(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Rb2Mg10 cuboctahedra, faces with two equivalent Ba(1)Rb2Mg10 cuboctahedra, and faces with two equivalent Mg(1)Mg12 cuboctahedra. Ba(1) is bonded to two equivalent Rb(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaRb2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Rb2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Rb(1)Ba2Mg10 cuboctahedra, faces with two equivalent Rb(1)Ba2Mg10 cuboctahedra, and faces with two equivalent Mg(2)Mg12 cuboctahedra. There are seven 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 equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ba(1)Rb2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Rb(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 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 equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ba(1)Rb2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 4-coordinate geometry to two equivalent Rb(1), two equivalent Ba(1), two equivalent Mg(6), and two equivalent Mg(7) 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)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Rb2Mg10 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, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 9-coordinate geometry to one Rb(1), one Ba(1), one Mg(1), one Mg(2), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms. In the seventh Mg site, Mg(7) is bonded in a 12-coordinate geometry to one Ba(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms.
RbBaMg14 crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form RbBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Rb(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Rb2Mg10 cuboctahedra, faces with two equivalent Ba(1)Rb2Mg10 cuboctahedra, and faces with two equivalent Mg(1)Mg12 cuboctahedra. Both Rb(1)-Ba(1) bond lengths are 3.32 Å. Both Rb(1)-Mg(6) bond lengths are 3.54 Å. There are two shorter (3.37 Å) and two longer (3.42 Å) Rb(1)-Mg(3) bond lengths. All Rb(1)-Mg(5) bond lengths are 3.62 Å. Ba(1) is bonded to two equivalent Rb(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaRb2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Rb2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Rb(1)Ba2Mg10 cuboctahedra, faces with two equivalent Rb(1)Ba2Mg10 cuboctahedra, and faces with two equivalent Mg(2)Mg12 cuboctahedra. Both Ba(1)-Mg(7) bond lengths are 3.54 Å. There are two shorter (3.38 Å) and two longer (3.40 Å) Ba(1)-Mg(3) bond lengths. All Ba(1)-Mg(5) bond lengths are 3.62 Å. There are seven 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 equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ba(1)Rb2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Rb(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.32 Å. Both Mg(1)-Mg(6) bond lengths are 3.32 Å. There are two shorter (3.36 Å) and two longer (3.43 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.16 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 equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ba(1)Rb2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.32 Å. There are two shorter (3.36 Å) and two longer (3.42 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.16 Å. In the third Mg site, Mg(3) is bonded in a 4-coordinate geometry to two equivalent Rb(1), two equivalent Ba(1), two equivalent Mg(6), and two equivalent Mg(7) atoms. Both Mg(3)-Mg(6) bond lengths are 3.45 Å. Both Mg(3)-Mg(7) bond lengths are 3.43 Å. 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)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Rb2Mg10 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, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.31 Å) and one longer (3.34 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.11 Å. Both Mg(4)-Mg(6) bond lengths are 3.23 Å. Both Mg(4)-Mg(7) bond lengths are 3.24 Å. In the fifth Mg site, Mg(5) is bonded in a 9-coordinate geometry to one Rb(1), one Ba(1), one Mg(1), one Mg(2), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. There is one shorter (3.32 Å) and one longer (3.33 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.26 Å) and one longer (3.53 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.27 Å) and one longer (3.52 Å) Mg(5)-Mg(7) bond length. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms. Both Mg(6)-Mg(7) bond lengths are 3.32 Å. In the seventh Mg site, Mg(7) is bonded in a 12-coordinate geometry to one Ba(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms.