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Energy to Wavelength Formula:
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The energy to wavelength formula relates the energy of a photon to its wavelength using Planck's constant and the speed of light. This fundamental relationship is crucial in quantum mechanics and spectroscopy.
The calculator uses the formula:
Where:
Explanation: This formula demonstrates the inverse relationship between photon energy and wavelength - higher energy photons have shorter wavelengths.
Details: Calculating wavelength from energy is essential in various fields including spectroscopy, quantum physics, photochemistry, and optical communications. It helps determine the properties of electromagnetic radiation.
Tips: Enter the photon energy in joules. The calculator will compute the corresponding wavelength in meters. Energy must be a positive value.
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 J s.
Q2: Can I use different units for energy?
A: The calculator requires energy in joules. If you have energy in electronvolts (eV), multiply by 1.602×10⁻¹⁹ to convert to joules before calculation.
Q3: What is the range of typical photon energies?
A: Photon energies range from about 10⁻²⁵ J (radio waves) to 10⁻¹⁵ J (gamma rays), corresponding to wavelengths from kilometers to picometers.
Q4: Why does higher energy mean shorter wavelength?
A: Since the speed of light is constant, energy and frequency are directly proportional (E = hf), and frequency and wavelength are inversely related (c = fλ), resulting in higher energy photons having shorter wavelengths.
Q5: Can this formula be used for all types of electromagnetic radiation?
A: Yes, this formula applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.