1.Calculate the theoretical volume change accompanying a polymorphic tranformation in a pure metal from FCC to BCC crystal structure. Assume the hard-sphere atomic model and that there is no change in atomic volume before and after the transformation

3.Randomization of atomic packing in amorphous metals genarally causes no more than a 1% drop in density compared with the crystalline structure of the same composition. Calculate the APF of an amorphous, thin film of nickel whose density is 8.84g/cm^3.The normal density of nickel in crystalline state is 8.91g/cm^3

4.A common way to describe the bonding energy E curve for secondary bonding is the 6-12 potential which state that E=-k

a/a^6+k

r/a^12,where k

a and k

rare constants for attraction and repulsion, respectively. This relative simple form is a quantum mechanical result for this relatively simple blood type. Calculate the bond energy and bond length for argon(k

a=10.37x10^-78Jm^6 and k

r=16.16x10^-135Jm612)