The Planck energy is the average energy of an oscillator,
The Planck postulate states that
where n is a nonnegative integer, h is Planck's constant, and is the frequency of radiation. Maxwell-Boltzmann statistics give
where C is a constant, k is Boltzmann's constant, and T is the temperature. Plugging in,
Planck Intensity Density, Planck Law, Simple Harmonic Oscillator--Quantum Mechanical