BaMg14Ce is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form BaCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Ce(1)Ba2Mg10 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 distorted MgMg12 cuboctahedra that share corners with four equivalent Ba(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Ce(1)Ba2Mg10 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 distorted MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ba(1)Ce2Mg10 cuboctahedra, and faces with two equivalent Mg(1)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ce(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 12-coordinate geometry 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. In the fifth Mg site, Mg(5) is bonded in a 11-coordinate geometry to one Ba(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Ce(1) atom. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ce(1) atom. 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. Ce(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CeBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ce(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ba(1)Ce2Mg10 cuboctahedra, and faces with two equivalent Mg(1)Mg12 cuboctahedra.
BaMg14Ce is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form BaCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Ce(1)Ba2Mg10 cuboctahedra. Both Ba(1)-Mg(7) bond lengths are 3.52 Å. There are two shorter (3.30 Å) and two longer (3.38 Å) Ba(1)-Mg(3) bond lengths. All Ba(1)-Mg(5) bond lengths are 3.54 Å. Both Ba(1)-Ce(1) bond lengths are 3.51 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 distorted MgMg12 cuboctahedra that share corners with four equivalent Ba(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Ce(1)Ba2Mg10 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.51 Å. Both Mg(1)-Mg(6) bond lengths are 3.28 Å. There are two shorter (3.29 Å) and two longer (3.39 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.09 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 distorted MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ba(1)Ce2Mg10 cuboctahedra, and faces with two equivalent Mg(1)Mg12 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.23 Å. All Mg(2)-Mg(4) bond lengths are 3.34 Å. All Mg(2)-Mg(5) bond lengths are 3.18 Å. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ce(1) atoms. There is one shorter (3.48 Å) and one longer (3.54 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.49 Å. Both Mg(3)-Mg(6) bond lengths are 3.29 Å. Both Mg(3)-Mg(7) bond lengths are 3.41 Å. There is one shorter (3.28 Å) and one longer (3.40 Å) Mg(3)-Ce(1) bond length. In the fourth Mg site, Mg(4) is bonded in a 12-coordinate geometry 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. There is one shorter (3.46 Å) and one longer (3.55 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.08 Å. Both Mg(4)-Mg(6) bond lengths are 3.28 Å. Both Mg(4)-Mg(7) bond lengths are 3.17 Å. In the fifth Mg site, Mg(5) is bonded in a 11-coordinate geometry to one Ba(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Ce(1) atom. The Mg(5)-Mg(5) bond length is 3.34 Å. Both Mg(5)-Mg(6) bond lengths are 3.35 Å. There is one shorter (3.18 Å) and one longer (3.51 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Ce(1) bond length is 3.44 Å. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ce(1) atom. Both Mg(6)-Mg(7) bond lengths are 3.51 Å. The Mg(6)-Ce(1) bond length is 3.37 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. Ce(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CeBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ce(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ba(1)Ce2Mg10 cuboctahedra, and faces with two equivalent Mg(1)Mg12 cuboctahedra.