De Broglie Wavelength Calculator

Calculate Matter Wave Properties with Precision

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De Broglie Wavelength Calculator

Calculate the wavelength associated with a moving particle.

Wavelength: -

Momentum Calculator

Calculate particle momentum from wavelength.

Momentum: -

Understanding De Broglie Wavelength

What is De Broglie Wavelength?

The de Broglie wavelength is the wavelength associated with a moving particle, demonstrating the wave-particle duality of matter. In 1924, Louis de Broglie proposed that all matter exhibits both wave and particle properties.

Wave-Particle Duality

Key aspects of wave-particle duality:

  • Matter Waves: All particles exhibit wave-like properties
  • Momentum Relation: Wavelength is inversely proportional to momentum
  • Quantum Effects: More noticeable for smaller particles
  • Experimental Verification: Demonstrated through electron diffraction

Applications

De Broglie wavelength is crucial in:

  • Electron microscopy
  • Quantum tunneling
  • Atomic and molecular spectroscopy
  • Nanotechnology
  • Quantum computing

Historical Significance

De Broglie's hypothesis:

  • Led to wave mechanics development
  • Explained electron orbital patterns
  • Won the 1929 Nobel Prize
  • Influenced modern quantum theory

Essential De Broglie Formulas

De Broglie Wavelength

λ = h/p = h/(mv)

Momentum

p = h/λ

Kinetic Energy

E = p²/(2m)