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Energy-Wavelength Equation:
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The energy-wavelength equation relates the energy of a photon to its wavelength using Planck's constant and the speed of light. This fundamental equation in quantum mechanics and optics describes the particle-wave duality of light.
The calculator uses the energy-wavelength equation:
Where:
Explanation: This equation shows that 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 behavior of light in different materials and its interaction with matter.
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 is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency. Its value is approximately 6.626 × 10⁻³⁴ Joule-seconds.
Q2: Can I use different units for wavelength?
A: The calculator requires meters, but you can convert from other units: 1 nm = 10⁻⁹ m, 1 μm = 10⁻⁶ m, 1 Å = 10⁻¹⁰ m.
Q3: What is the typical energy range for visible light?
A: Visible light (400-700 nm) has energies ranging from approximately 1.8 to 3.1 eV (2.9 × 10⁻¹⁹ to 5.0 × 10⁻¹⁹ J).
Q4: Why is energy inversely proportional to wavelength?
A: Since c = λν (speed of light = wavelength × frequency) and E = hν, we get E = hc/λ, showing the inverse relationship.
Q5: Can this equation be used for all electromagnetic radiation?
A: Yes, this equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.