Boltzmann Factor Calculator

Find the Boltzmann factor e^(−E/kT).

Boltzmann factor 0.3807

Formula: e^(−E ÷ (k·T))

Step-by-step with your numbers:

1. Values used:

2. Energy = 0 J

3. Temperature = 300 K

5. Boltzmann factor = 0.3807

Did we solve your problem today?

The Boltzmann factor gives the relative probability of a state at a given energy and temperature.

The math behind it

e^(−E/kT). Higher-energy states are exponentially less likely, especially at low temperature.

E = 4 × 10⁻²¹ J at 300 K → about 0.38.

Where is it used?

Statistical mechanics, reaction rates and population of energy levels.