Using the Molecule Definition Utility found in both “Metallic Crystal Structures and Crystallography” and “Ceramic Crystal Structures” modules of VMSE, located on the book’s web site [www.wiley.com/college/Callister (Student Companion Site)], generate a three-dimensional unit cell for the intermetallic compound AuCu₃ given the following: 

(1) The unit cell is cubic with an edge length of 0.374 nm, 

(2) Gold atoms are situated at all cube corners, and 

(3) Copper atoms are positioned at the centers of all unit cell faces.