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Photon Wavelength Formula:
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The photon wavelength formula calculates the wavelength of a photon using its energy. This fundamental relationship in quantum mechanics connects the particle and wave properties of light through Planck's constant and the speed of light.
The calculator uses the photon wavelength formula:
Where:
Explanation: This formula demonstrates the inverse relationship between a photon's energy and its wavelength - higher energy photons have shorter wavelengths.
Details: Calculating photon wavelength is essential in various fields including quantum mechanics, spectroscopy, photochemistry, and optical communications. It helps determine the nature of electromagnetic radiation and its interactions with matter.
Tips: Enter the photon energy in joules (J). The value must be positive and non-zero. The calculator will compute the corresponding wavelength in meters.
Q1: What is the relationship between energy and wavelength?
A: Energy and wavelength have an inverse relationship. As energy increases, wavelength decreases, and vice versa.
Q2: Can this formula be used for all types of electromagnetic radiation?
A: Yes, this formula applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.
Q3: How do I convert electron volts (eV) to joules (J) for this calculation?
A: 1 eV = 1.602 × 10⁻¹⁹ J. Multiply the energy in eV by this conversion factor before using the calculator.
Q4: What are typical wavelength values for visible light?
A: Visible light wavelengths range from approximately 380 nm (violet) to 750 nm (red), corresponding to energies of about 3.26 to 1.65 eV.
Q5: Why is Planck's constant important in this calculation?
A: Planck's constant is fundamental to quantum mechanics and represents the quantum of action, connecting the energy of a photon to its frequency (and thus wavelength).