Mg14TiMn crystallizes in the orthorhombic Amm2 space group. 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 Ti(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti 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 Mn(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ti(1), and two equivalent Mn(1) atoms to form MgMg8Ti2Mn2 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)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, faces with two equivalent Ti(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiMn 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 Mg(3)Mg8Ti2Mn2 cuboctahedra, corners with four equivalent Ti(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Ti2 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(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Mn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiMn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Mn(1) atom to form distorted MgMg10TiMn cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Mn2 cuboctahedra,  a faceface with one Mn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Mn cuboctahedra, corners with eight equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiMn cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Mn(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiMn cuboctahedra. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form TiMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Mn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form MnMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra.
Mg14TiMn crystallizes in the orthorhombic Amm2 space group. 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 Ti(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.11 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. There are two shorter (3.15 Å) and two longer (3.18 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.19 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 Mn(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.13 Å. There are two shorter (3.16 Å) and two longer (3.17 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.19 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ti(1), and two equivalent Mn(1) atoms to form MgMg8Ti2Mn2 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)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, faces with two equivalent Ti(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiMn cuboctahedra. There is one shorter (3.07 Å) and one longer (3.15 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.05 Å. Both Mg(3)-Mg(6) bond lengths are 3.07 Å. Both Mg(3)-Mg(7) bond lengths are 3.09 Å. There is one shorter (3.12 Å) and one longer (3.21 Å) Mg(3)-Ti(1) bond length. There is one shorter (3.12 Å) and one longer (3.21 Å) Mg(3)-Mn(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 Mg(3)Mg8Ti2Mn2 cuboctahedra, corners with four equivalent Ti(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Ti2 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(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Mn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiMn cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.11 Å. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.20 Å. Both Mg(4)-Mg(7) bond lengths are 3.14 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Mn(1) atom to form distorted MgMg10TiMn cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Mn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Mn2 cuboctahedra,  a faceface with one Mn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra. Both Mg(5)-Mg(5) bond lengths are 3.11 Å. There is one shorter (3.10 Å) and one longer (3.24 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.11 Å) and one longer (3.22 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Ti(1) bond length is 3.03 Å. The Mg(5)-Mn(1) bond length is 3.01 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Mn cuboctahedra, corners with eight equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiMn cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.11 Å. The Mg(6)-Mn(1) bond length is 3.04 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiMn cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiMn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Mn(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiMn cuboctahedra. The Mg(7)-Ti(1) bond length is 3.06 Å. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form TiMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Both Ti(1)-Mn(1) bond lengths are 3.11 Å. Mn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form MnMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiMn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiMn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Mn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra.