Formula
This calculator uses the equation below. Use it as a quick reference when checking setup before solving.
E_n = n^2 * h^2 / (8 * m * L^2)Physical Chemistry
Particle In Box Energy Calculator
Solve one variable in E_n = n^2 * h^2 / (8 * m * L^2) for 1D particle-in-a-box states.
E_n = n^2 * h^2 / (8 * m * L^2)
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Leave a nullable field blank to solve for it.
Variable glossary
Energy (energy)
Energy level in joules (J). Set to null to solve.
N (n)
Quantum number (n > 0). Set to null to solve.
Mass (mass)
Particle mass in kilograms (kg). Set to null to solve.
Length (length)
Box length in meters (m). Set to null to solve.
H (h)
Planck constant in J*s, default 6.62607015e-34.
Frequently Asked Questions
What does the Particle In Box Energy calculator solve?
It solves Particle In Box Energy 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.