Plancks Strahlungsgesetz und die Quantisierung der Entropie

Abstract

AbstractIn order to derive Planck's law of black‐body radiation we consider a gas of photons which is in equilibrium with its surroundings at temperature T. Instead of the usual energy quanta of the photons ε = hv we introduce entropy quanta σ = ε/T. Now, ε and T are used from the beginning of the calculations and it is easy to derive Planck's distribution law of the photon gas, avoiding Lagrange's method of undetermined multipliers. Using ε instead of ε we get the entropy‐distribution of the black‐body radiation which may be transformed by ε = hv into the usual energy‐distribution formula. Conventionally, entropy is a property of an ensemble of particles. But the entropy quantum ε is a property of the particle itself which is in thermodynamic equilibrium with its surroundings.