Calculadora de Comprimento de Onda de De Broglie
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
λ = h/(m·v)
About this calculator
The De Broglie Wavelength Calculator determines the wavelength associated with a material particle, based on Louis de Broglie's hypothesis. The wavelength (λ) is calculated by dividing Planck's constant (h) by the product of mass (m) and velocity (v) of the particle. This relation shows that all moving matter exhibits wave-like behavior, being fundamental in quantum physics.
To use the calculator, enter the particle's mass in kilograms and its velocity in meters per second. The result, in meters, is the De Broglie wavelength. Typical values are extremely small for macroscopic objects but significant for subatomic particles like electrons. For example, an electron at 10⁶ m/s has λ ≈ 7.3 × 10⁻¹⁰ m, comparable to atomic spacing.
This tool is useful in educational and research contexts, especially when studying electron diffraction, quantum tunneling, and principles of quantum mechanics. The calculator helps visualize how wave-particle duality manifests at different scales. Remember to use consistent units: mass in kg and velocity in m/s to obtain λ in meters.
Cautions: the formula is valid for non-relativistic particles (v << c). For velocities near the speed of light, a relativistic version is needed. Also, the mass should be the rest mass. The calculator assumes free particles without significant external interactions. In complex systems, the effective wavelength may differ.
Frequently asked questions
What is the De Broglie wavelength?
It is the wavelength associated with a moving material particle, given by λ = h/(m·v), where h is Planck's constant.
What is this calculator for?
It computes the De Broglie wavelength of a particle from its mass and velocity, helping study wave-particle duality.
What units should I use?
Enter mass in kilograms (kg) and velocity in meters per second (m/s). The result will be in meters (m).
Does the formula work for large objects like a ball?
Yes, but the wavelength will be extremely small (e.g., 10⁻³⁴ m), negligible. The formula is most relevant for subatomic particles.
Do I need to consider relativistic effects?
Yes, if the velocity is near the speed of light (≥ 0.1c). In that case, use the relativistic version: λ = h/(γ m v), with γ = 1/√(1-v²/c²).