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Photon Energy Equation:
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The photon energy equation \( E = \frac{hc}{\lambda} \) calculates the energy of a photon based on its wavelength, using Planck's constant and the speed of light. This fundamental equation in quantum mechanics relates the particle and wave properties of light.
The calculator uses the photon energy equation:
Where:
Explanation: The equation shows that photon energy is inversely proportional to wavelength - shorter wavelengths correspond to higher energy photons.
Details: Calculating photon energy is essential in various fields including spectroscopy, quantum mechanics, photochemistry, and optical engineering. It helps determine the energy levels of electromagnetic radiation across the spectrum.
Tips: Enter wavelength in meters. For common wavelengths, remember: visible light ranges from approximately 380-750 nanometers (3.8×10⁻⁷ to 7.5×10⁻⁷ m).
Q1: What are typical energy values for visible light?
A: Visible light photons have energies ranging from approximately 1.65 to 3.26 electronvolts (2.64×10⁻¹⁹ to 5.22×10⁻¹⁹ joules).
Q2: How does this relate to photon frequency?
A: The equation can also be written as E = hν, where ν is frequency. The two forms are equivalent since c = λν.
Q3: Why is the energy value so small?
A: Individual photons carry very small amounts of energy, which is why we typically measure large numbers of photons in practical applications.
Q4: Can this calculator be used for all electromagnetic radiation?
A: Yes, the equation applies to all wavelengths of electromagnetic radiation, from radio waves to gamma rays.
Q5: How is this used in practical applications?
A: This calculation is used in designing lasers, understanding atomic spectra, calculating photoionization energies, and in various spectroscopic techniques.