Formula
This calculator uses the equation below. Use it as a quick reference when checking setup before solving.
N2/N1 = exp(-delta_E / (k * T))Physical Chemistry
Boltzmann Population Ratio Calculator
Solve one variable in N2/N1 = exp(-delta_E/(k*T)) for Boltzmann population distributions.
N2/N1 = exp(-delta_E / (k * T))
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Leave a nullable field blank to solve for it.
Variable glossary
Population Ratio (population_ratio)
Population ratio N2/N1 (must be > 0). Set to null to solve.
Delta E (delta_e)
Energy gap delta_E in joules (J). Set to null to solve.
Temperature (temperature)
Temperature in kelvin (K). Set to null to solve.
K (k)
Boltzmann constant in J/K, default 1.380649e-23.
Frequently Asked Questions
What does the Boltzmann Population Ratio calculator solve?
It solves Boltzmann Population Ratio 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.