Gold nano particles are being studied by material scientists for a variety of uses, including the treatment of cancer and other diseases. Consider specifically a spherical gold nano particle with a diameter of 33.0 nm. The atomic weight of gold is 196.7 g/mol and the atomic radius is .144nm. The crystal structure is FCC. a. Calculate the lattice parameter of the unit cell. . b. Use calculated lattice parameter to find the density of gold. c. Assuming this particle is a single crystal, how many unit cells are lined up across the diameter of the particle? d. Calculate the mass of the particle. e. Approximately how many atoms does this particle contain?