De Broglie Wavelength Calculator
Calculate the de Broglie wavelength of a particle from its mass and velocity or kinetic energy.
Use the De Broglie Wavelength Calculator
Input Parameters
Result
Enter values and click Calculate
De Broglie Wavelength
| Parameter | Value |
|---|
Formula applied
Common Particle Masses
| Particle | Mass (kg) | Symbol |
|---|---|---|
| Electron | 9.109 × 10⁻³¹ | e⁻ |
| Proton | 1.673 × 10⁻²⁷ | p⁺ |
| Neutron | 1.675 × 10⁻²⁷ | n |
Planck's constant h = 6.626 × 10⁻³⁴ J·s
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Summary
This calculator computes the de Broglie wavelength (lambda = h/p) of a particle using either its velocity and mass or its kinetic energy and mass. Supports common particles like electrons, protons, and neutrons, with results displayed in picometers or nanometers.
How it works
- Select a calculation mode: velocity + mass or kinetic energy + mass.
- Choose a preset particle (electron, proton, neutron) or enter a custom mass in kilograms.
- Enter the velocity in meters per second or kinetic energy in electron-volts.
- The calculator applies lambda = h/p, where p = mv for velocity mode and p = sqrt(2mKE) for energy mode.
- Results appear instantly in both picometers (pm) and nanometers (nm).
Use cases
- Verify homework or exam solutions for quantum mechanics courses.
- Compare the wavelength of electrons versus heavier particles at the same speed.
- Explore how kinetic energy affects the wave nature of sub-atomic particles.
- Understand why macroscopic objects have negligibly small de Broglie wavelengths.
Frequently Asked Questions
Last updated: 2026-06-15 · Reviewed by Nham Vu