(8) Examples of the effect of thermal vibration of the atoms on a powder patterns are shown below. Which pattern is with thermal vibration? (a) or (b) (9) Use the attached Appendix to find out the "Multiplicity Factors" values (powder method) for (a) (220) and (b) (311) in cubic system. (a) (220) (b) (331) (10) Please write down the equation in term of " sin2",", , "(hkl)" and "a or c" in: (a) Cubic system (Undergraduate students only) (b) Tetragonal (Graduate students only) sin2= (11) (a) Write down the equation for the atomic scattering factor (f), (2 points) (Undergraduate students only) f= (b) Use the attached Appendix to find out the atomic scattering factor (f) of Al if sin=0.24. (2 points) (Graduate students only)