De Broglie Wavelength Calculator
Matter wavelength from mass and velocity.
Enter your values
electron = 9.109e-31
Enter the velocity in m/s.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- 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 does | Matter wavelength from mass and velocity. |
|---|---|
| Category | Physics |
| Inputs needed | Mass, Velocity |
| Main output | Wavelength λ |
| Formula | λ = h ÷ (m × v) |
| Cost | Free — no sign-up, no download |
How to use the De Broglie Wavelength Calculator
- 1Enter the particle mass in kilograms (scientific notation is fine).
- 2Enter its velocity in m/s.
- 3Read λ in metres, nanometres or ångströms.
Inputs explained
- Mass(kg)
- electron = 9.109e-31
- Velocity(m/s)
- Enter the velocity in m/s.
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.
What do I need to enter into the De Broglie Wavelength Calculator?
Just 2 values: mass, velocity. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the De Broglie Wavelength Calculator work out the answer?
The de Broglie wavelength is λ = h ÷ (mv): Planck's constant divided by momentum, giving the wave nature of any moving particle. It applies the formula λ = h ÷ (m × v) and shows the working so you can check each step by hand.
Is the De Broglie Wavelength Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.