de Broglie Wavelength Calculator
Calculate the de Broglie wavelength of a particle by combining its mass and velocity with the canonical Planck-based formula.
Particle inputs
How to Use This Calculator
Enter the particle’s mass in kilograms and velocity in meters per second. The calculator enforces positive values and recomputes the wavelength using Planck’s constant after you press Calculate. You can keep adjusting the fields and hit Calculate again or let the inputs auto-update shortly after each change.
Mass and velocity in scientific notation keep full precision; simply type the exponent part (e.g., 9.11e-31 and 2.2e6). Use the Reset button to restore the default electron-like sample values.
Methodology
We model the de Broglie wavelength with the classical formula λ = h / (m × v), where h is Planck’s constant, m is the particle mass, and v is its velocity. The interaction assumes non-relativistic speeds so the momentum is simply m×v and the solver presents the same precision as the original physics derivation.
- Inputs must be positive to represent a moving particle with tangible wavelength.
- The resulting wavelength is displayed in meters using exponential notation to preserve scale.
- Momentum is reported alongside the wavelength to reinforce the mass×velocity relationship.
Data Source
The concepts follow the Matter Wave coverage on Wikipedia, which aggregates foundational textbooks on quantum mechanics.
Matter Wave - WikipediaGlossary
- Mass (kg): Particle invariant mass expressed in kilograms.
- Velocity (m/s): Speed at which the particle travels; used here in the classical sense.
- Wavelength (m): The de Broglie wavelength generated by the mass and velocity inputs.
- Momentum (kg·m/s): Simple product of mass and velocity that drives the wavelength.
Frequently Asked Questions
What is the de Broglie wavelength?
It’s a wavelength associated with particles due to their wave-like behavior, bridging quantum mechanics and classical momentum.
Why does a higher mass shrink the wavelength?
Because momentum grows and λ is inversely proportional to momentum; doubling the mass halves the wavelength for constant velocity.
Can I use zero velocity?
No—the calculator requires velocity above zero. A stationary particle has no defined de Broglie wavelength.