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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. This fundamental equation in quantum mechanics relates the particle-like properties of light (energy) to its wave-like properties (wavelength).
The calculator uses the photon energy equation:
Where:
Explanation: The equation shows that photon energy is inversely proportional to its wavelength - shorter wavelengths correspond to higher energy photons.
Details: Calculating photon energy is essential in various fields including spectroscopy, quantum mechanics, photochemistry, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.
Tips: Enter the wavelength in meters. For common wavelengths, remember that 1 nanometer = 10⁻⁹ meters. The wavelength must be greater than zero.
Q1: What are typical wavelength values for visible light?
A: Visible light wavelengths range from approximately 380 nm (violet) to 750 nm (red), which is 3.8 × 10⁻⁷ m to 7.5 × 10⁻⁷ m.
Q2: How is this equation related to Einstein's photoelectric effect?
A: This equation underpins the photoelectric effect, showing that light energy is quantized into discrete packets called photons.
Q3: Can I use other units for wavelength?
A: Yes, but you must convert to meters first as the equation requires SI units for consistency with the constants.
Q4: What is the energy range for different types of electromagnetic radiation?
A: Radio waves have the lowest energy (longest wavelengths), while gamma rays have the highest energy (shortest wavelengths).
Q5: How does photon energy relate to frequency?
A: The equation can also be written as E = hν, where ν is frequency, since c = λν.