Question: a boltzmann factors compute the boltzmann factors expjkt for...
a. Boltzmann factors
Compute the Boltzmann factors (Exp[-εj/kT] ) for kT = 0.15, 0.25, 0.5, 0.75 e.u.
b. partition functions
Compute the sum over all 8 Boltzmann factors (the partition function, q) for kT = 0.15, 0.25, 0.5, 0.75 e.u.
c. average energy
Given that the probability of occupying a given energy state is Exp[-εj/kT]/q, compute the average energy for the 4 different values of kT.
d. heat capacity
estimate the heat capacity for the system as a function of temperature from Δε/Δ(kT) using the 4 different values of kT.