Photon Energy Equation:
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The photon energy equation \( E = \frac{hc}{\lambda} \) calculates the energy of a photon in joules based on its wavelength. 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 its 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.
Tips: Enter the wavelength in meters. The value must be positive and non-zero. For best results, use scientific notation for very small wavelengths (e.g., 5.0e-7 for 500 nm).
Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.
Q2: How does wavelength affect photon energy?
A: Photon energy is inversely proportional to wavelength. Shorter wavelengths (like gamma rays) have higher energy than longer wavelengths (like radio waves).
Q3: Can I use other units for wavelength?
A: The calculator requires meters. Convert other units to meters first (1 nm = 10⁻⁹ m, 1 μm = 10⁻⁶ m).
Q4: What is the typical energy range for visible light photons?
A: Visible light photons (400-700 nm) have energies ranging from approximately 3.1 × 10⁻¹⁹ J to 5.0 × 10⁻¹⁹ J.
Q5: How is this equation used in practical applications?
A: This equation is used in designing lasers, analyzing spectral data, calculating photon absorption in materials, and understanding photoelectric effects.