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Wavelength Formula:
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The energy to wavelength conversion is based on the fundamental relationship in quantum mechanics that connects the energy of a photon to its wavelength through Planck's constant and the speed of light.
The calculator uses the wavelength 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 wavelength from energy is essential in various fields including spectroscopy, quantum mechanics, photochemistry, and telecommunications. It helps determine the properties of electromagnetic radiation.
Tips: Enter the energy value in joules (J). The calculator will compute the corresponding wavelength in meters (m). 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), you'll need to convert to joules first (1 eV = 1.602×10⁻¹⁹ J).
Q3: What is the range of wavelengths this calculator can handle?
A: The calculator works for any positive energy value, corresponding to wavelengths across the entire electromagnetic spectrum from gamma rays to radio waves.
Q4: Why is the speed of light constant in this calculation?
A: The speed of light in vacuum is a fundamental constant of nature (approximately 3×10⁸ m/s) and doesn't change regardless of the photon's energy or wavelength.
Q5: How accurate is this calculation?
A: The calculation is theoretically exact for photons in vacuum. The constants used are the most accurate values available, making the calculation highly precise.