Consider two hypothetical metallic crystal structures A and B. A has a simple cubic and B a fcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.520 and that for B is 0.740. What is the ratio of the fcc to simple cubic atomic radii?

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and t…