De Broglie Wavelength Calculator Formula
Understand the math behind the de broglie wavelength calculator. Each variable explained with a worked example.
Formulas Used
De Broglie Wavelength
wavelength = 6.626e-34 / (mass * velocity)Wavelength (nm)
wavelength_nm = 6.626e-34 / (mass * velocity) * 1e9Variables
| Variable | Description | Default |
|---|---|---|
mass | Particle Mass(kg) | 9.109e-31 |
velocity | Velocity(m/s) | 1000000 |
How It Works
De Broglie Wavelength
All matter has wave-like properties. The de Broglie wavelength describes the wave nature of particles.
Formula
lambda = h / (m * v) = h / p
where h = 6.626 x 10^-34 J·s is Planck's constant and p = mv is the momentum. Heavier or faster particles have shorter wavelengths.
Worked Example
An electron (m = 9.109e-31 kg) traveling at 1e6 m/s.
mass = 9.109e-31velocity = 1000000
- 01lambda = h / (m*v)
- 02lambda = 6.626e-34 / (9.109e-31 * 1e6)
- 03lambda = 6.626e-34 / 9.109e-25
- 04lambda = 7.274e-10 m = 0.7274 nm
Ready to run the numbers?
Open De Broglie Wavelength Calculator