Calculate the relative probability of a system being in a specific energy state.
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About this calculator
Quick Reference
k_B1.380649 × 10⁻²³ J/K
EEnergy of the state
TAbsolute temperature (K)
β1 / (k_B * T)
Overview
The Boltzmann factor is a weighting factor that determines the relative probability of a state with energy E in a system at thermodynamic equilibrium at temperature T.
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Pro Tips
Energy should be in Joules (J) for the standard formula.
Temperature must be in Kelvin (K).
The Boltzmann factor is part of the Boltzmann distribution.
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Fun Facts
"Higher energy states are less likely to be occupied than lower energy states."
"As temperature increases, the Boltzmann factor for a given energy state increases, making higher energy states more accessible."
"It was named after Ludwig Boltzmann, who founded statistical mechanics."
