Crystal Dynamics of pBlock Metals A1 and Pb
AbstractThe lattice dyniunics of p-hlock metals aluminium and lead having face centered cubic structure was studied using phenomenological model. Interaction between ions and ions and electrons were taken into account. Thus potential energy was considered due to (i) ion-ion and (ii) ion-electron interactions. Contribution to potential energy due to ion-ion interaction was evaluated using axially symmetric model while contribution due to ion-electron interaction was evaluated by using screened coulomb potential. Phonon dispersion relations of aluminium and lead were established along the symmetry directions using the adopted model. Computed phonon frequencies were used to evaluate the lattice specific heats at constant volume by dividing the Brillouin zone of fcc structure into one thousand miniature cells which reduced to 48 non-equivalent points under symmetry operations. The secular equation was solved for these 48 points. The computed values of lattice specific heats at different temperatures were used to evaluate Debye characteristic temperatures. The agreement between experimental and calculated result was fairly good.
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