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Energy Formula:
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The conversion from wavelength to energy is based on the fundamental relationship in quantum mechanics described by the equation E = (h × c)/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is wavelength.
The calculator uses the energy formula:
Where:
Explanation: This equation demonstrates the inverse relationship between wavelength and energy - shorter wavelengths correspond to higher energy photons.
Details: Calculating photon energy from wavelength is essential in various fields including spectroscopy, quantum mechanics, photochemistry, and optical engineering. It helps determine the energy of electromagnetic radiation across the spectrum from radio waves to gamma rays.
Tips: Enter the wavelength in meters. For best results, use scientific notation for very small wavelengths (e.g., 5.0e-7 for 500 nm). The wavelength must be greater than zero.
Q1: Why is the energy result in scientific notation?
A: Photon energies are extremely small values (typically around 10⁻¹⁹ J), so scientific notation provides a more readable format.
Q2: Can I use different units for wavelength?
A: Yes, but you must convert them to meters first. Common conversions: 1 nm = 10⁻⁹ m, 1 μm = 10⁻⁶ m.
Q3: What is the relationship between wavelength and energy?
A: Energy is inversely proportional to wavelength - as wavelength decreases, energy increases, and vice versa.
Q4: Can this calculator be used for all types of electromagnetic radiation?
A: Yes, the formula applies to all electromagnetic waves, from radio waves to gamma rays.
Q5: How accurate are the results?
A: The results are based on fundamental physical constants and are theoretically exact for monochromatic light in a vacuum.