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De Broglie Wavelength Formula:
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The de Broglie wavelength is a concept in quantum mechanics that states that all matter exhibits wave-like properties. For a proton or any other particle, the wavelength is given by λ = h/p, where h is Planck's constant and p is the momentum of the particle.
The calculator uses the de Broglie wavelength formula:
Where:
Explanation: This equation demonstrates the wave-particle duality of matter, showing that particles like protons have associated wavelengths.
Details: Calculating the de Broglie wavelength is essential in quantum mechanics for understanding particle behavior at atomic and subatomic scales, and has applications in electron microscopy and quantum computing.
Tips: Enter the momentum of the proton in kg m/s. The value must be positive and non-zero for accurate calculation.
Q1: What is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency, with a value of approximately 6.626 × 10⁻³⁴ joule-seconds.
Q2: Why is momentum important in wavelength calculation?
A: Momentum determines the wavelength of a particle according to the de Broglie hypothesis - higher momentum results in shorter wavelength.
Q3: What are typical wavelength values for protons?
A: Proton wavelengths are extremely small, typically on the order of 10⁻¹⁵ to 10⁻¹² meters, depending on their momentum.
Q4: Can this formula be applied to other particles?
A: Yes, the de Broglie wavelength formula applies to all matter, including electrons, neutrons, and even macroscopic objects, though the wavelengths become negligible for larger objects.
Q5: What are the practical applications of de Broglie wavelength?
A: This concept is fundamental to quantum mechanics and has applications in particle physics, electron microscopy, and understanding atomic structure.