The material structure described by Mg5Mn3 is beta-derived structured and crystallizes in the triclinic P1 space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(8), one Mn(4), two equivalent Mn(1), two equivalent Mn(2), and two equivalent Mn(5) atoms to form distorted MgMg5Mn7 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with four equivalent Mn(3)Mg9Mn3 cuboctahedra,  an edgeedge with one Mg(3)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(4)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(4)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(8)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(6)Mg6Mn6 cuboctahedra,  a faceface with one Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, and faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(10), two equivalent Mg(9), one Mn(4), two equivalent Mn(3), and two equivalent Mn(6) atoms. In the third Mg site, Mg(3) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), two equivalent Mg(5), one Mn(2), one Mn(3), two equivalent Mn(1), and two equivalent Mn(6) atoms to form distorted MgMg6Mn6 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with four equivalent Mn(4)Mg10Mn2 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to one Mg(1), one Mg(2), two equivalent Mg(10), two equivalent Mg(3), two equivalent Mg(5), one Mn(2), one Mn(3), and two equivalent Mn(1) atoms to form distorted MgMg8Mn4 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with four equivalent Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(6)Mg9Mn3 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(8), two equivalent Mg(3), two equivalent Mg(4), one Mn(5), one Mn(6), two equivalent Mn(1), and two equivalent Mn(2) atoms. In the sixth Mg site, Mg(6) is bonded to one Mg(1), one Mg(2), two equivalent Mg(7), two equivalent Mg(9), one Mn(2), one Mn(3), two equivalent Mn(4), and two equivalent Mn(5) atoms to form distorted MgMg6Mn6 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with four equivalent Mn(4)Mg10Mn2 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(8)Mg5Mn7 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(10), one Mg(8), two equivalent Mg(6), two equivalent Mg(9), one Mn(5), one Mn(6), two equivalent Mn(3), and two equivalent Mn(4) atoms to form distorted MgMg6Mn6 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with four equivalent Mn(1)Mg10Mn2 cuboctahedra,  an edgeedge with one Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(5)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(6)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mn(6)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, and faces with two equivalent Mn(3)Mg9Mn3 cuboctahedra. In the eighth Mg site, Mg(8) is bonded to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(1), one Mn(1), two equivalent Mn(2), two equivalent Mn(4), and two equivalent Mn(5) atoms to form distorted MgMg5Mn7 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with four equivalent Mn(6)Mg9Mn3 cuboctahedra,  an edgeedge with one Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(9)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(6)Mg6Mn6 cuboctahedra. In the ninth Mg site, Mg(9) is bonded to one Mg(10), one Mg(8), two equivalent Mg(2), two equivalent Mg(6), two equivalent Mg(7), one Mn(5), one Mn(6), and two equivalent Mn(4) atoms to form distorted MgMg8Mn4 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(5)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(6)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mn(6)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(3)Mg9Mn3 cuboctahedra. In the tenth Mg site, Mg(10) is bonded in a 12-coordinate geometry to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(2), two equivalent Mg(4), one Mn(1), two equivalent Mn(3), and two equivalent Mn(6) atoms. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one Mg(10), one Mg(8), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), one Mn(5), and one Mn(6) atom to form distorted MnMg10Mn2 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(5)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(6)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(3)Mg9Mn3 cuboctahedra,  a faceface with one Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mn(6)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(2)Mg9Mn3 cuboctahedra. In the second Mn site, Mn(2) is bonded to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(1), two equivalent Mg(5), two equivalent Mg(8), one Mn(4), and two equivalent Mn(5) atoms to form distorted MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(3)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(4)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(4)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(8)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(6)Mg6Mn6 cuboctahedra,  a faceface with one Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with four equivalent Mn(1)Mg10Mn2 cuboctahedra. In the third Mn site, Mn(3) is bonded to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(7), one Mn(4), and two equivalent Mn(6) atoms to form distorted MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(3)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(4)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(4)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(8)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mn(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(6)Mg6Mn6 cuboctahedra,  a faceface with one Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(9)Mg8Mn4 cuboctahedra. In the fourth Mn site, Mn(4) is bonded to one Mg(1), one Mg(2), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(8), two equivalent Mg(9), one Mn(2), and one Mn(3) atom to form distorted MnMg10Mn2 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with four equivalent Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(6)Mg9Mn3 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(5)Mg9Mn3 cuboctahedra. In the fifth Mn site, Mn(5) is bonded to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(1), two equivalent Mg(6), two equivalent Mg(8), one Mn(1), and two equivalent Mn(2) atoms to form MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(9)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with four equivalent Mn(4)Mg10Mn2 cuboctahedra. In the sixth Mn site, Mn(6) is bonded to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(3), one Mn(1), and two equivalent Mn(3) atoms to form distorted MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(9)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with four equivalent Mn(4)Mg10Mn2 cuboctahedra,  a faceface with one Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(4)Mg8Mn4 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Mn3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.677
_cell_length_b   6.028
_cell_length_c   11.620
_cell_angle_alpha   90.188
_cell_angle_beta   113.801
_cell_angle_gamma   89.973
_symmetry_Int_Tables_number   1
_cell_volume   299.752
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.545  0.246  0.878  1.0
  Mg  Mg1  1  0.036  0.277  0.372  1.0
  Mg  Mg2  1  0.296  0.493  0.623  1.0
  Mg  Mg3  1  0.300  0.997  0.630  1.0
  Mg  Mg4  1  0.892  0.728  0.720  1.0
  Mg  Mg5  1  0.773  0.517  0.114  1.0
  Mg  Mg6  1  0.374  0.745  0.214  1.0
  Mg  Mg7  1  0.126  0.981  0.959  1.0
  Mg  Mg8  1  0.360  0.239  0.199  1.0
  Mg  Mg9  1  0.627  0.010  0.460  1.0
  Mn  Mn10  1  0.882  0.258  0.712  1.0
  Mn  Mn11  1  0.550  0.742  0.882  1.0
  Mn  Mn12  1  0.030  0.775  0.367  1.0
  Mn  Mn13  1  0.785  0.983  0.123  1.0
  Mn  Mn14  1  0.116  0.491  0.951  1.0
  Mn  Mn15  1  0.638  0.517  0.469  1.0
[/CIF]
.
The material structure described by Mg5Mn3 is beta-derived structured and crystallizes in the triclinic P1 space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(8), one Mn(4), two equivalent Mn(1), two equivalent Mn(2), and two equivalent Mn(5) atoms to form distorted MgMg5Mn7 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with four equivalent Mn(3)Mg9Mn3 cuboctahedra,  an edgeedge with one Mg(3)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(4)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(4)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(8)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(6)Mg6Mn6 cuboctahedra,  a faceface with one Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, and faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(10), two equivalent Mg(9), one Mn(4), two equivalent Mn(3), and two equivalent Mn(6) atoms. In the third Mg site, Mg(3) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), two equivalent Mg(5), one Mn(2), one Mn(3), two equivalent Mn(1), and two equivalent Mn(6) atoms to form distorted MgMg6Mn6 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with four equivalent Mn(4)Mg10Mn2 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to one Mg(1), one Mg(2), two equivalent Mg(10), two equivalent Mg(3), two equivalent Mg(5), one Mn(2), one Mn(3), and two equivalent Mn(1) atoms to form distorted MgMg8Mn4 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with four equivalent Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(6)Mg9Mn3 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(8), two equivalent Mg(3), two equivalent Mg(4), one Mn(5), one Mn(6), two equivalent Mn(1), and two equivalent Mn(2) atoms. In the sixth Mg site, Mg(6) is bonded to one Mg(1), one Mg(2), two equivalent Mg(7), two equivalent Mg(9), one Mn(2), one Mn(3), two equivalent Mn(4), and two equivalent Mn(5) atoms to form distorted MgMg6Mn6 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with four equivalent Mn(4)Mg10Mn2 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(8)Mg5Mn7 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(10), one Mg(8), two equivalent Mg(6), two equivalent Mg(9), one Mn(5), one Mn(6), two equivalent Mn(3), and two equivalent Mn(4) atoms to form distorted MgMg6Mn6 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with four equivalent Mn(1)Mg10Mn2 cuboctahedra,  an edgeedge with one Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(5)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(6)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mn(6)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, and faces with two equivalent Mn(3)Mg9Mn3 cuboctahedra. In the eighth Mg site, Mg(8) is bonded to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(1), one Mn(1), two equivalent Mn(2), two equivalent Mn(4), and two equivalent Mn(5) atoms to form distorted MgMg5Mn7 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with four equivalent Mn(6)Mg9Mn3 cuboctahedra,  an edgeedge with one Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(9)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(6)Mg6Mn6 cuboctahedra. In the ninth Mg site, Mg(9) is bonded to one Mg(10), one Mg(8), two equivalent Mg(2), two equivalent Mg(6), two equivalent Mg(7), one Mn(5), one Mn(6), and two equivalent Mn(4) atoms to form distorted MgMg8Mn4 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(5)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(6)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mn(6)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(3)Mg9Mn3 cuboctahedra. In the tenth Mg site, Mg(10) is bonded in a 12-coordinate geometry to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(2), two equivalent Mg(4), one Mn(1), two equivalent Mn(3), and two equivalent Mn(6) atoms. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one Mg(10), one Mg(8), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), one Mn(5), and one Mn(6) atom to form distorted MnMg10Mn2 cuboctahedra that share corners with two equivalent Mg(8)Mg5Mn7 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(5)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(6)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(3)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(6)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(3)Mg9Mn3 cuboctahedra,  a faceface with one Mg(8)Mg5Mn7 cuboctahedra,  a faceface with one Mn(5)Mg9Mn3 cuboctahedra,  a faceface with one Mn(6)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(2)Mg9Mn3 cuboctahedra. In the second Mn site, Mn(2) is bonded to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(1), two equivalent Mg(5), two equivalent Mg(8), one Mn(4), and two equivalent Mn(5) atoms to form distorted MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(3)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(4)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(4)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(8)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(6)Mg6Mn6 cuboctahedra,  a faceface with one Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with four equivalent Mn(1)Mg10Mn2 cuboctahedra. In the third Mn site, Mn(3) is bonded to one Mg(3), one Mg(4), one Mg(6), two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(7), one Mn(4), and two equivalent Mn(6) atoms to form distorted MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(6)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(4)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(3)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(4)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(4)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(8)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mn(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(3)Mg6Mn6 cuboctahedra,  a faceface with one Mg(6)Mg6Mn6 cuboctahedra,  a faceface with one Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mn(4)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(9)Mg8Mn4 cuboctahedra. In the fourth Mn site, Mn(4) is bonded to one Mg(1), one Mg(2), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(8), two equivalent Mg(9), one Mn(2), and one Mn(3) atom to form distorted MnMg10Mn2 cuboctahedra that share corners with two equivalent Mg(1)Mg5Mn7 cuboctahedra, corners with two equivalent Mn(4)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(2)Mg9Mn3 cuboctahedra, corners with two equivalent Mn(3)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(3)Mg6Mn6 cuboctahedra, corners with four equivalent Mg(6)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(1)Mg5Mn7 cuboctahedra,  an edgeedge with one Mn(2)Mg9Mn3 cuboctahedra,  an edgeedge with one Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mg(7)Mg6Mn6 cuboctahedra, edges with two equivalent Mg(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mg(9)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(6)Mg9Mn3 cuboctahedra,  a faceface with one Mg(1)Mg5Mn7 cuboctahedra,  a faceface with one Mn(2)Mg9Mn3 cuboctahedra,  a faceface with one Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(7)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(9)Mg8Mn4 cuboctahedra, faces with two equivalent Mn(4)Mg10Mn2 cuboctahedra, and faces with four equivalent Mn(5)Mg9Mn3 cuboctahedra. In the fifth Mn site, Mn(5) is bonded to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(1), two equivalent Mg(6), two equivalent Mg(8), one Mn(1), and two equivalent Mn(2) atoms to form MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(5)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(9)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(6)Mg9Mn3 cuboctahedra, edges with four equivalent Mg(4)Mg8Mn4 cuboctahedra,  a faceface with one Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(1)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(8)Mg5Mn7 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(2)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(5)Mg9Mn3 cuboctahedra, and faces with four equivalent Mn(4)Mg10Mn2 cuboctahedra. In the sixth Mn site, Mn(6) is bonded to one Mg(5), one Mg(7), one Mg(9), two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(3), one Mn(1), and two equivalent Mn(3) atoms to form distorted MnMg9Mn3 cuboctahedra that share corners with two equivalent Mg(7)Mg6Mn6 cuboctahedra, corners with two equivalent Mg(9)Mg8Mn4 cuboctahedra, corners with two equivalent Mn(1)Mg10Mn2 cuboctahedra, corners with two equivalent Mn(6)Mg9Mn3 cuboctahedra, corners with four equivalent Mg(8)Mg5Mn7 cuboctahedra,  an edgeedge with one Mg(7)Mg6Mn6 cuboctahedra,  an edgeedge with one Mg(9)Mg8Mn4 cuboctahedra,  an edgeedge with one Mn(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg5Mn7 cuboctahedra, edges with two equivalent Mn(2)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(3)Mg9Mn3 cuboctahedra, edges with two equivalent Mn(5)Mg9Mn3 cuboctahedra, edges with four equivalent Mn(4)Mg10Mn2 cuboctahedra,  a faceface with one Mg(7)Mg6Mn6 cuboctahedra,  a faceface with one Mg(9)Mg8Mn4 cuboctahedra,  a faceface with one Mn(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg6Mn6 cuboctahedra, faces with two equivalent Mg(6)Mg6Mn6 cuboctahedra, faces with two equivalent Mn(3)Mg9Mn3 cuboctahedra, faces with two equivalent Mn(6)Mg9Mn3 cuboctahedra, and faces with four equivalent Mg(4)Mg8Mn4 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Mn3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.677
_cell_length_b   6.028
_cell_length_c   11.620
_cell_angle_alpha   90.188
_cell_angle_beta   113.801
_cell_angle_gamma   89.973
_symmetry_Int_Tables_number   1
_cell_volume   299.752
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.545  0.246  0.878  1.0
  Mg  Mg1  1  0.036  0.277  0.372  1.0
  Mg  Mg2  1  0.296  0.493  0.623  1.0
  Mg  Mg3  1  0.300  0.997  0.630  1.0
  Mg  Mg4  1  0.892  0.728  0.720  1.0
  Mg  Mg5  1  0.773  0.517  0.114  1.0
  Mg  Mg6  1  0.374  0.745  0.214  1.0
  Mg  Mg7  1  0.126  0.981  0.959  1.0
  Mg  Mg8  1  0.360  0.239  0.199  1.0
  Mg  Mg9  1  0.627  0.010  0.460  1.0
  Mn  Mn10  1  0.882  0.258  0.712  1.0
  Mn  Mn11  1  0.550  0.742  0.882  1.0
  Mn  Mn12  1  0.030  0.775  0.367  1.0
  Mn  Mn13  1  0.785  0.983  0.123  1.0
  Mn  Mn14  1  0.116  0.491  0.951  1.0
  Mn  Mn15  1  0.638  0.517  0.469  1.0
[/CIF]
.