1. Find the specific heat capacity Cv of Si at room temperature,
given that the Debye temperature is 625 K for Si. Use the solution
graph for the Debye molar heat capacity in the handout given in class,
and the relation, Cm = Cv ·Mat,
where Mat = the gram molecular weight. (note: the universal
gas constant R = kB NA, where NA
is Avogadro's number)
2. The mobility of a "free electron" in a semiconductor may be limited
by scattering by lattice waves that involves absorption of phonons.
If the mobility is inversely proportional to the average number of phonons
of a particular frequency available for scattering, calculate the ratio
of the mobility at 300 K to that at 600 K for scattering by:
(a) acoustic phonons with energy of 2 meV, and
(b) optical phonons with energy of 50 meV.
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