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Wavelength Formula:
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The photon energy to wavelength formula relates the energy of a photon to its wavelength using Planck's constant and the speed of light. This relationship is fundamental in quantum mechanics and wave-particle duality.
The calculator uses the formula:
Where:
Explanation: This formula demonstrates the inverse relationship between a photon's energy and its wavelength - higher energy photons have shorter wavelengths.
Details: Calculating photon wavelength is essential in various fields including spectroscopy, quantum mechanics, photochemistry, and optical communications. It helps determine the nature of electromagnetic radiation and its interactions with matter.
Tips: Enter the photon energy in joules. The calculator will provide the corresponding wavelength in meters along with detailed calculation steps.
Q1: What units should I use for energy?
A: The calculator expects energy input in joules (J). If you have energy in electronvolts (eV), you'll need to convert to joules first (1 eV = 1.602 × 10⁻¹⁹ J).
Q2: Why is Planck's constant important in this calculation?
A: Planck's constant relates the energy of a photon to its frequency, which is then connected to wavelength through the speed of light.
Q3: Can I calculate energy from wavelength using this formula?
A: Yes, the formula can be rearranged as E = (h × c) / λ to calculate energy from wavelength.
Q4: What is the range of wavelengths this calculator can handle?
A: The calculator works for all photon energies greater than zero, corresponding to wavelengths from extremely short (gamma rays) to very long (radio waves).
Q5: How accurate is this calculation?
A: The calculation is theoretically exact for individual photons in vacuum. The constants used (h and c) are defined values in the SI system with extremely high precision.