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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 every moving particle has an associated wavelength. It demonstrates the wave-particle duality of matter, showing that particles like electrons exhibit wave-like properties.
The calculator uses the De Broglie wavelength formula:
Where:
Explanation: The wavelength is inversely proportional to the momentum of the particle. Higher momentum results in a shorter wavelength.
Details: The De Broglie wavelength is fundamental to quantum mechanics and helps explain phenomena like electron diffraction and the behavior of particles at atomic scales. It's crucial for understanding wave-particle duality and quantum wave functions.
Tips: Enter the momentum of the particle in kg m/s. The value must be positive and greater than zero. The calculator will compute the corresponding De Broglie wavelength.
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. Its value is approximately 6.626 × 10⁻³⁴ J s.
Q2: How is momentum calculated?
A: Momentum (p) is calculated as the product of mass and velocity: p = m × v, where m is mass in kilograms and v is velocity in meters per second.
Q3: Why is De Broglie wavelength important?
A: It demonstrates that matter has wave-like properties, which is fundamental to quantum mechanics and explains phenomena like electron microscopy and quantum tunneling.
Q4: What are typical values for De Broglie wavelength?
A: For macroscopic objects, the wavelength is extremely small and negligible. For subatomic particles like electrons, it becomes significant and measurable.
Q5: Can this formula be used for photons?
A: While photons also have wavelength, their momentum is calculated differently (p = E/c = h/λ), so this specific formula applies to matter particles with mass.