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De Broglie Wavelength Formula:
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The de Broglie wavelength is a concept in quantum mechanics which proposes that all matter exhibits wave-like properties. It's calculated using the formula λ = h/(m v), where h is Planck's constant, m is the mass of the particle, and v is its velocity.
The calculator uses the de Broglie wavelength equation:
Where:
Explanation: This equation demonstrates the wave-particle duality of matter, showing that particles like electrons have wave characteristics.
Details: Calculating the de Broglie wavelength is fundamental in quantum mechanics, helping to understand phenomena like electron diffraction and the behavior of particles at atomic and subatomic scales.
Tips: Enter the mass in kilograms and velocity in meters per second. Both values must be positive numbers. For electrons, the mass is approximately 9.109 × 10⁻³¹ kg.
Q1: What is the significance of de Broglie wavelength?
A: It demonstrates that matter has both particle and wave properties, which is a fundamental concept in quantum mechanics.
Q2: How small are typical de Broglie wavelengths?
A: For everyday objects, the wavelength is extremely small and undetectable. For subatomic particles like electrons, the wavelength is comparable to atomic sizes.
Q3: Can this formula be applied to all particles?
A: Yes, the de Broglie hypothesis applies to all matter, though the wave nature is only noticeable for very small particles like electrons, protons, and atoms.
Q4: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency.
Q5: How is this related to electron microscopes?
A: Electron microscopes use the wave properties of electrons, whose de Broglie wavelengths are much shorter than visible light, allowing for higher resolution imaging.