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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 using Planck's constant (h), the speed of light (c), and the photon's wavelength (λ). 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 demonstrates the inverse relationship between photon energy and 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 involved in electronic transitions and chemical reactions.
Tips: Enter the wavelength in meters. For best results, use scientific notation for very small wavelengths (e.g., 5.0e-7 for 500 nm). 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), or 3.8 × 10⁻⁷ m to 7.5 × 10⁻⁷ m.
Q2: How does photon energy relate to frequency?
A: The energy can also be calculated as E = hν, where ν is the frequency. This is equivalent to E = hc/λ since c = νλ.
Q3: What is the energy range for visible light photons?
A: Visible light photons have energies ranging from approximately 1.65 eV to 3.26 eV, or 2.64 × 10⁻¹⁹ J to 5.22 × 10⁻¹⁹ J.
Q4: Why is Planck's constant important in this calculation?
A: Planck's constant relates the energy of a photon to its frequency, establishing the quantum nature of electromagnetic radiation.
Q5: Can this equation be used for all types of electromagnetic radiation?
A: Yes, the equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.