A crystal is composed of two elements, A and B. The basic crystal structure is a face-centered cubic with element A at each of the corners and element B in the center of each face. The effective radius of element A is Ra = 1.035 Å. Assume that the elements are hard spheres with the surface of each A-type atom in contact with the surface of its nearest A-type neighbor. Calculate (a) the maximum radius of the B-type element that will fit into this structure, (b) the lattice constant, and (c) the volume density (#/cm³) of both the A-type atoms and the B-type atoms.