Physics

De Broglie Wavelength Calculator

Matter wavelength from mass and velocity.

Enter your values

electron = 9.109e-31

Results update instantly as you type — no submit needed.

Results
Wavelength λ
3.3065e-10 m
In nanometres
0.330646 nm
In ångströms
3.30646 Å
Momentum
2.0040e-24 kg·m/s

Quick answer

The de Broglie wavelength is λ = h ÷ (mv): Planck's constant divided by momentum, giving the wave nature of any moving particle.

λ = h ÷ (m × v)

At a glance

What it doesMatter wavelength from mass and velocity.
CategoryPhysics
Inputs neededMass, Velocity
Main outputWavelength λ
Formulaλ = h ÷ (m × v)
CostFree — no sign-up, no download

How to use the De Broglie Wavelength Calculator

  1. 1Enter the particle mass in kilograms (scientific notation is fine).
  2. 2Enter its velocity in m/s.
  3. 3Read λ in metres, nanometres or ångströms.

Inputs explained

Mass(kg)
electron = 9.109e-31
Velocity(m/s)
Enter the velocity you are working with.

Worked example

Using the values the calculator loads with:

Inputs

  • Mass9.109e-31 kg
  • Velocity2.2e6 m/s

Results

  • Wavelength λ3.3065e-10 m
  • In nanometres0.330646 nm
  • In ångströms3.30646 Å
  • Momentum2.0040e-24 kg·m/s

Frequently asked questions

Why don't everyday objects show wave behaviour?

Their momentum is huge, so λ is around 10⁻³⁴ m — far too small to ever observe.

What is Planck's constant?

6.62607015 × 10⁻³⁴ J·s, the fixed constant that links a particle's energy to its wave frequency.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.