Calculateur de Longueur d'Onde de De Broglie Gratuit
Calculez la longueur d'onde de De Broglie d'une particule. Déterminez la longueur d'onde associée à partir de la masse et la vitesse.
De Broglie Wavelength
0.00000000072741 m
Formule
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.
Exemple Résolu
An electron (m = 9.109e-31 kg) traveling at 1e6 m/s.
- 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
Questions Fréquentes
Why don't we notice the wave nature of everyday objects?
The wavelength is inversely proportional to mass and velocity. For macroscopic objects, lambda is incomprehensibly tiny (far smaller than an atomic nucleus).
How is this used in electron microscopy?
Fast electrons have wavelengths much smaller than visible light, allowing electron microscopes to resolve features at the atomic scale.
Who was Louis de Broglie?
A French physicist who proposed in 1924 that all matter has wave properties. He won the Nobel Prize in 1929 for this insight.
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