NaDy3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Na(1) is bonded to twelve Dy(1,1,1) atoms to form NaDy12 cuboctahedra that share corners with six equivalent Na(1)Dy12 cuboctahedra; corners with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; edges with eighteen Dy(1,1,1)Na4Dy8 cuboctahedra; faces with eight equivalent Na(1)Dy12 cuboctahedra; and faces with twelve Dy(1,1,1)Na4Dy8 cuboctahedra. There are three inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to four equivalent Na(1) and eight Dy(1,1,1) atoms to form distorted DyNa4Dy8 cuboctahedra that share corners with four equivalent Na(1)Dy12 cuboctahedra; corners with fourteen Dy(1,1,1)Na4Dy8 cuboctahedra; edges with six equivalent Na(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; faces with four equivalent Na(1)Dy12 cuboctahedra; and faces with sixteen Dy(1,1,1)Na4Dy8 cuboctahedra. In the second Dy site, Dy(1) is bonded to four equivalent Na(1) and eight Dy(1,1,1) atoms to form distorted DyNa4Dy8 cuboctahedra that share corners with four equivalent Na(1)Dy12 cuboctahedra; corners with fourteen Dy(1,1,1)Na4Dy8 cuboctahedra; edges with six equivalent Na(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; faces with four equivalent Na(1)Dy12 cuboctahedra; and faces with sixteen Dy(1,1,1)Na4Dy8 cuboctahedra. In the third Dy site, Dy(1) is bonded to four equivalent Na(1) and eight Dy(1,1,1) atoms to form distorted DyNa4Dy8 cuboctahedra that share corners with four equivalent Na(1)Dy12 cuboctahedra; corners with fourteen Dy(1,1,1)Na4Dy8 cuboctahedra; edges with six equivalent Na(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; faces with four equivalent Na(1)Dy12 cuboctahedra; and faces with sixteen Dy(1,1,1)Na4Dy8 cuboctahedra.
NaDy3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Na(1) is bonded to twelve Dy(1,1,1) atoms to form NaDy12 cuboctahedra that share corners with six equivalent Na(1)Dy12 cuboctahedra; corners with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; edges with eighteen Dy(1,1,1)Na4Dy8 cuboctahedra; faces with eight equivalent Na(1)Dy12 cuboctahedra; and faces with twelve Dy(1,1,1)Na4Dy8 cuboctahedra. There are six shorter (3.57 Å) and six longer (3.59 Å) Na(1)-Dy(1,1,1) bond lengths. There are three inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to four equivalent Na(1) and eight Dy(1,1,1) atoms to form distorted DyNa4Dy8 cuboctahedra that share corners with four equivalent Na(1)Dy12 cuboctahedra; corners with fourteen Dy(1,1,1)Na4Dy8 cuboctahedra; edges with six equivalent Na(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; faces with four equivalent Na(1)Dy12 cuboctahedra; and faces with sixteen Dy(1,1,1)Na4Dy8 cuboctahedra. There are a spread of Dy(1)-Dy(1,1,1) bond distances ranging from 3.54-3.64 Å. In the second Dy site, Dy(1) is bonded to four equivalent Na(1) and eight Dy(1,1,1) atoms to form distorted DyNa4Dy8 cuboctahedra that share corners with four equivalent Na(1)Dy12 cuboctahedra; corners with fourteen Dy(1,1,1)Na4Dy8 cuboctahedra; edges with six equivalent Na(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; faces with four equivalent Na(1)Dy12 cuboctahedra; and faces with sixteen Dy(1,1,1)Na4Dy8 cuboctahedra. There are a spread of Dy(1)-Dy(1,1) bond distances ranging from 3.54-3.64 Å. In the third Dy site, Dy(1) is bonded to four equivalent Na(1) and eight Dy(1,1,1) atoms to form distorted DyNa4Dy8 cuboctahedra that share corners with four equivalent Na(1)Dy12 cuboctahedra; corners with fourteen Dy(1,1,1)Na4Dy8 cuboctahedra; edges with six equivalent Na(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1)Na4Dy8 cuboctahedra; faces with four equivalent Na(1)Dy12 cuboctahedra; and faces with sixteen Dy(1,1,1)Na4Dy8 cuboctahedra. Both Dy(1)-Dy(1) bond lengths are 3.54 Å.