Formula
This calculator uses the equation below. Use it as a quick reference when checking setup before solving.
N_j / N_i = (g_j/g_i) e^(−ΔE / k_B T)Physical Chemistry
Boltzmann Distribution Calculator
Compute Boltzmann Distribution using N_j / N_i = (g_j/g_i) e^(−ΔE / k_B T).
N_j / N_i = (g_j/g_i) e^(−ΔE / k_B T)
Run this calculator
Leave a nullable field blank to solve for it.
Variable glossary
G J (g_j)
Input variable 'g_j' for Boltzmann Distribution. Set one variable to null to solve for it.
G I (g_i)
Input variable 'g_i' for Boltzmann Distribution. Set one variable to null to solve for it.
Delta E (delta_e)
Input variable 'delta_e' for Boltzmann Distribution. Set one variable to null to solve for it.
K B (k_b)
Input variable 'k_b' for Boltzmann Distribution. Set one variable to null to solve for it.
T (t)
Input variable 't' for Boltzmann Distribution. Set one variable to null to solve for it.
N J (N_j)
Result variable 'N_j' for Boltzmann Distribution. Set to null (or omit) to compute this value.
Worked example
Try these sample values to validate the setup, then replace inputs with your own conditions.
- g_j: 2
- g_i: 3
- delta_e: 4
- k_b: 5
- t: 298.15
Frequently Asked Questions
What does the Boltzmann Distribution calculator solve?
It solves Boltzmann Distribution problems in physical chemistry using your provided inputs and computes unknown values when nullable fields are left blank.
Do I need to convert units before using this tool?
Use the unit toggles where available (for example K/C and L/mL). ChemGenius converts values to the calculator's base units automatically before solving.
Can I save this result in my workflow?
Yes. After computing a result, you can continue into ChemGenius workflows like protocol drafting or notes to keep your calculation context attached to downstream work.