How to use the particle in a box energy calculator
Find quantized energy levels for a particle in a 1D box. Enter level n, box width, mass in the fields above; the energy is computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- n — Level n
- L — Box width (nm)
- m — Mass (kg)
Worked example
With level n = 1, box width = 1 nm, mass = 9.109e-31 kg, the calculator gives energy ≈ 0.376046 eV.
Frequently asked questions
What is the formula for the particle in a box energy calculation?
Energy (eV) = n × n × HPLANCK^2 / (8 × m × (L × 1e-9)^2) / QE. Here n is level n, L is box width (nm), m is mass (kg).
What inputs do I need for the particle in a box energy calculator?
You need level n, box width in nm, mass in kg. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.