LiMg6Ti crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Ti(1) atoms to form LiMg10Ti2 cuboctahedra that share corners with four equivalent Ti(1)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Ti2 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Ti(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Ti2 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ti2 cuboctahedra; corners with four equivalent Ti(1)Li2Mg10 cuboctahedra; corners with ten equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Li(1)Mg10Ti2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Ti(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(2,2)Li2Mg8Ti2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with ten Mg(2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(2,2,2); and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; faces with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Li(1)Mg10Ti2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2,2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with six equivalent Mg(4)Li2Mg10 cuboctahedra; corners with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Ti(1)Li2Mg10 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ti2 cuboctahedra; corners with four equivalent Ti(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Li(1)Mg10Ti2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Ti(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra. In the sixth Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with ten Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(2,2)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra. In the seventh Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with ten Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(2,2)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra. Ti(1) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2) atoms to form TiLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Ti2 cuboctahedra; corners with six equivalent Ti(1)Li2Mg10 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Mg(4)Li2Mg10 cuboctahedra.
LiMg6Ti crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Ti(1) atoms to form LiMg10Ti2 cuboctahedra that share corners with four equivalent Ti(1)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Ti2 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Ti(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Ti2 cuboctahedra. Both Li(1)-Mg(4) bond lengths are 3.08 Å. There are two shorter (3.12 Å) and two longer (3.17 Å) Li(1)-Mg(1,1) bond lengths. All Li(1)-Mg(2) bond lengths are 3.10 Å. Both Li(1)-Ti(1) bond lengths are 3.20 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ti2 cuboctahedra; corners with four equivalent Ti(1)Li2Mg10 cuboctahedra; corners with ten equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Li(1)Mg10Ti2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Ti(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(2,2)Li2Mg8Ti2 cuboctahedra. There is one shorter (3.17 Å) and one longer (3.23 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(2) bond lengths are 3.10 Å. Both Mg(1)-Mg(3) bond lengths are 3.11 Å. Both Mg(1)-Mg(4) bond lengths are 3.11 Å. There is one shorter (3.14 Å) and one longer (3.15 Å) Mg(1)-Ti(1) bond length. In the second Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with ten Mg(2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra. There is one shorter (3.15 Å) and one longer (3.24 Å) Mg(2)-Mg(2) bond length. There is one shorter (3.06 Å) and one longer (3.23 Å) Mg(2)-Mg(3) bond length. There is one shorter (3.11 Å) and one longer (3.18 Å) Mg(2)-Mg(4) bond length. Both Mg(2)-Ti(1) bond lengths are 3.07 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(2,2,2); and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; faces with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Li(1)Mg10Ti2 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.20 Å. Both Mg(3)-Mg(2,2) bond lengths are 3.06 Å. Both Mg(3)-Ti(1) bond lengths are 3.06 Å. In the fourth Mg site, Mg(4) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2,2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with six equivalent Mg(4)Li2Mg10 cuboctahedra; corners with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with four Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Ti(1)Li2Mg10 cuboctahedra. Both Mg(4)-Mg(1) bond lengths are 3.11 Å. Both Mg(4)-Mg(2,2) bond lengths are 3.18 Å. In the fifth Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ti2 cuboctahedra; corners with four equivalent Ti(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Li(1)Mg10Ti2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Ti(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra. There is one shorter (3.17 Å) and one longer (3.23 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(2) bond lengths are 3.10 Å. Both Mg(1)-Mg(3) bond lengths are 3.11 Å. There is one shorter (3.14 Å) and one longer (3.15 Å) Mg(1)-Ti(1) bond length. In the sixth Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with ten Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(2,2)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra. Both Mg(2)-Li(1) bond lengths are 3.10 Å. Both Mg(2)-Mg(1) bond lengths are 3.10 Å. There is one shorter (3.15 Å) and one longer (3.24 Å) Mg(2)-Mg(2) bond length. Both Mg(2)-Ti(1) bond lengths are 3.07 Å. In the seventh Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgLi2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Ti2 cuboctahedra; corners with ten Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with four equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Ti(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(2,2)Li2Mg8Ti2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra. Both Mg(2)-Li(1) bond lengths are 3.10 Å. Both Mg(2)-Ti(1) bond lengths are 3.07 Å. Ti(1) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2) atoms to form TiLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Ti2 cuboctahedra; corners with six equivalent Ti(1)Li2Mg10 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with two equivalent Li(1)Mg10Ti2 cuboctahedra; edges with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra; edges with eight Mg(2,2,2)Li2Mg8Ti2 cuboctahedra; faces with two equivalent Li(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra; faces with two equivalent Ti(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ti2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Ti2 cuboctahedra; and faces with six equivalent Mg(4)Li2Mg10 cuboctahedra.