# Mean Energy of Harmonic Oscillator Calculator

A system that experiences a restoring force when it is displaced from equilibrium , it is called as harmonic oscillator. Calculate the mean energy of the harmonic oscillator or the average energy per phone phonon mode based on the phonon angular frequency, planck constant, boltzmann constant and temperature.

## Average Energy Per Phonon Mode Calculation

A system that experiences a restoring force when it is displaced from equilibrium , it is called as harmonic oscillator. Calculate the mean energy of the harmonic oscillator or the average energy per phone phonon mode based on the phonon angular frequency, planck constant, boltzmann constant and temperature.

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#### Formula:

(E) = (1/2) * hω + [ (hω) / (exp[ (h*w) / (k_{B}T) ]) ] - 1
**Where,**
(E) = Mean Energy
h = Planck Constant
ω = Phonon Angular Frequency
k_{B} = Boltzmann Constant
T = Temperature