The discussion focuses on the interpretation of the variable q in the context of black body entropy and Einstein solids. The expression for entropy, S = k ln((q + N - 1)! / (q! (N - 1)!)), applies to both Einstein solids and Planck's blackbody radiation resonators, with q representing the total number of energy quanta in a system of N oscillators. It is established that q must be dimensionless, leading to the conclusion that q cannot denote the energy hν, but rather can be expressed as q = E_tot / hv, where E_tot is the total energy. This clarification is crucial for understanding the relationship between energy units and entropy in these systems.
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Yes. With a proper interpretation of ##q##, this expression for ##S## will apply to both the Einstein solid and Planck's blackbody-radiation resonators (oscillators).Herculi said:
From the above expression for ##S##, ##q## must be dimensionless since ##N## and 1 are dimensionless. So, ##q## can't denote the energy ##h \nu##. What does ##q## actually represent for the Einstein solid? What does ##q## represent for the blackbody radiation system?
In Einstein solid, it is in fact the energy unit, as far as i know. I never noticed that you pointed. Thinking better, maybe q can be equal to the total energy E divided by the energy unit hv, that is, ##q = E_{tot}/hv##?TSny said:
Yes, ##q## is the total number of energy quanta in the system of N oscillators.Herculi said: