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De Broglie Wavelength Equation:
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The de Broglie wavelength equation describes the wave-like behavior of particles. It states that any particle with momentum has an associated wavelength, given by λ = h/p, where h is Planck's constant and p is the particle's momentum.
The calculator uses the de Broglie equation:
Where:
Explanation: The equation demonstrates the wave-particle duality of matter, showing that particles like electrons exhibit wave properties with measurable wavelengths.
Details: Calculating electron wavelength is crucial in quantum mechanics, electron microscopy, and understanding atomic-scale phenomena. It helps explain electron diffraction patterns and quantum behavior.
Tips: Enter the momentum value in kg m/s. The momentum must be greater than zero for valid calculation.
Q1: What is Planck's constant?
A: Planck's constant (h = 6.626 × 10⁻³⁴ J s) is a fundamental physical constant that relates the energy of a photon to its frequency.
Q2: Why do electrons have wavelengths?
A: According to quantum mechanics, all matter exhibits wave-particle duality. Electrons, like all particles, have both particle-like and wave-like properties.
Q3: How is electron momentum calculated?
A: For non-relativistic electrons, momentum p = mv, where m is electron mass and v is velocity. For relativistic electrons, p = γmv where γ is the Lorentz factor.
Q4: What are typical electron wavelengths?
A: Electron wavelengths are extremely small, typically on the order of picometers (10⁻¹² m), which is why electron microscopes can achieve much higher resolution than light microscopes.
Q5: Can this equation be applied to other particles?
A: Yes, the de Broglie equation applies to all matter, including protons, neutrons, atoms, and even larger objects, though the wavelengths become immeasurably small for macroscopic objects.