Mg6MnSn crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with ten Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with ten Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with ten Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with four Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; faces with four Mg(2,2)Mg8Mn2Sn2 cuboctahedra; and faces with six equivalent Sn(1)Mg10Mn2 cuboctahedra. In the fifth Mg site, Mg(4) is bonded in a distorted water-like geometry to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms. In the sixth Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with ten Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(2,2)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Sn(1) atoms to form MnMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; and faces with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Mn(1) atoms to form SnMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; faces with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Mn2 cuboctahedra.
Mg6MnSn crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with ten Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra. There is one shorter (3.12 Å) and one longer (3.14 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 3.10 Å. Both Mg(1)-Mg(4) bond lengths are 3.09 Å. There is one shorter (3.14 Å) and one longer (3.16 Å) Mg(1)-Mn(1) bond length. There is one shorter (3.14 Å) and one longer (3.16 Å) Mg(1)-Sn(1) bond length. In the second Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with ten Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.10 Å. Both Mg(1)-Mg(3) bond lengths are 3.10 Å. Both Mg(1)-Mg(4) bond lengths are 3.09 Å. There is one shorter (3.14 Å) and one longer (3.16 Å) Mg(1)-Mn(1) bond length. There is one shorter (3.14 Å) and one longer (3.16 Å) Mg(1)-Sn(1) bond length. In the third Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with ten Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra. There is one shorter (3.01 Å) and one longer (3.25 Å) Mg(2)-Mg(2) bond length. There is one shorter (3.07 Å) and one longer (3.22 Å) Mg(2)-Mg(3) bond length. There is one shorter (3.10 Å) and one longer (3.20 Å) Mg(2)-Mg(4) bond length. Both Mg(2)-Mn(1) bond lengths are 3.06 Å. Both Mg(2)-Sn(1) bond lengths are 3.13 Å. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with four Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; faces with four Mg(2,2)Mg8Mn2Sn2 cuboctahedra; and faces with six equivalent Sn(1)Mg10Mn2 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.13 Å. The Mg(3)-Mg(2) bond length is 3.22 Å. Both Mg(3)-Mn(1) bond lengths are 3.07 Å. In the fifth Mg site, Mg(4) is bonded in a distorted water-like geometry to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms. The Mg(4)-Mg(2) bond length is 3.10 Å. Both Mg(4)-Sn(1) bond lengths are 3.11 Å. In the sixth Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Sn(1) atoms to form distorted MgMg8Mn2Sn2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra; corners with ten Mg(2,2)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Mn2Sn2 cuboctahedra; edges with four equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(2,2)Mg8Mn2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra. There is one shorter (3.01 Å) and one longer (3.25 Å) Mg(2)-Mg(2) bond length. Both Mg(2)-Mn(1) bond lengths are 3.06 Å. Both Mg(2)-Sn(1) bond lengths are 3.13 Å. Mn(1) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Sn(1) atoms to form MnMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra; edges with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; and faces with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra. Both Mn(1)-Sn(1) bond lengths are 3.13 Å. Sn(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Mn(1) atoms to form SnMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Mg10Mn2 cuboctahedra; corners with eight Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with two equivalent Mn(1)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; edges with eight Mg(2,2)Mg8Mn2Sn2 cuboctahedra; faces with two equivalent Mn(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Mn2 cuboctahedra; faces with four Mg(1,1)Mg8Mn2Sn2 cuboctahedra; faces with four equivalent Mg(2)Mg8Mn2Sn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Mn2 cuboctahedra.