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Photon Energy Equation:
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The photon energy equation calculates the energy of a photon based on its wavelength. This fundamental physics equation is derived from Planck's equation and is essential in quantum mechanics and spectroscopy.
The calculator uses the photon energy equation:
Where:
Explanation: This equation shows the inverse relationship between photon energy and wavelength - shorter wavelengths correspond to higher energy photons.
Details: Calculating photon energy is crucial in various scientific fields including spectroscopy, quantum mechanics, photochemistry, and optical engineering. It helps determine the energy levels of electromagnetic radiation.
Tips: Enter wavelength in nanometers. The value must be greater than 0. For accurate results, use precise wavelength measurements.
Q1: What is the physical significance of this equation?
A: This equation demonstrates the particle-wave duality of light, showing that electromagnetic radiation can be described both as waves (wavelength) and as particles (photons with energy).
Q2: How is this related to Planck's constant?
A: The constant 1.986 × 10^-16 is derived from Planck's constant (h) and the speed of light (c), where E = hc/λ.
Q3: Can this be used for all types of electromagnetic radiation?
A: Yes, this equation applies to all electromagnetic radiation from radio waves to gamma rays, though the units may need adjustment for different wavelength ranges.
Q4: What are typical energy values for visible light?
A: Visible light photons (400-700 nm) have energies ranging from approximately 1.8 to 3.1 electronvolts (2.9-5.0 × 10^-19 Joules).
Q5: How can I convert the result to electronvolts?
A: To convert from Joules to electronvolts, divide the energy value by 1.602 × 10^-19 (since 1 eV = 1.602 × 10^-19 J).