Th3Re is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Th(1) is bonded to eight equivalent Th(1) and four equivalent Re(1) atoms to form distorted ThTh8Re4 cuboctahedra that share corners with four equivalent Re(1)Th12 cuboctahedra, corners with fourteen equivalent Th(1)Th8Re4 cuboctahedra, edges with six equivalent Re(1)Th12 cuboctahedra, edges with twelve equivalent Th(1)Th8Re4 cuboctahedra, faces with four equivalent Re(1)Th12 cuboctahedra, and faces with sixteen equivalent Th(1)Th8Re4 cuboctahedra. Re(1) is bonded to twelve equivalent Th(1) atoms to form ReTh12 cuboctahedra that share corners with six equivalent Re(1)Th12 cuboctahedra, corners with twelve equivalent Th(1)Th8Re4 cuboctahedra, edges with eighteen equivalent Th(1)Th8Re4 cuboctahedra, faces with eight equivalent Re(1)Th12 cuboctahedra, and faces with twelve equivalent Th(1)Th8Re4 cuboctahedra.
Th3Re is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Th(1) is bonded to eight equivalent Th(1) and four equivalent Re(1) atoms to form distorted ThTh8Re4 cuboctahedra that share corners with four equivalent Re(1)Th12 cuboctahedra, corners with fourteen equivalent Th(1)Th8Re4 cuboctahedra, edges with six equivalent Re(1)Th12 cuboctahedra, edges with twelve equivalent Th(1)Th8Re4 cuboctahedra, faces with four equivalent Re(1)Th12 cuboctahedra, and faces with sixteen equivalent Th(1)Th8Re4 cuboctahedra. There are a spread of Th(1)-Th(1) bond distances ranging from 3.10-3.58 Å. There are two shorter (3.30 Å) and two longer (3.35 Å) Th(1)-Re(1) bond lengths. Re(1) is bonded to twelve equivalent Th(1) atoms to form ReTh12 cuboctahedra that share corners with six equivalent Re(1)Th12 cuboctahedra, corners with twelve equivalent Th(1)Th8Re4 cuboctahedra, edges with eighteen equivalent Th(1)Th8Re4 cuboctahedra, faces with eight equivalent Re(1)Th12 cuboctahedra, and faces with twelve equivalent Th(1)Th8Re4 cuboctahedra.