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Wavelength Formula:
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The Wavelength Calculator determines the wavelength of electromagnetic radiation based on the energy difference between quantum states using the fundamental equation λ = hc/ΔE, where h is Planck's constant and c is the speed of light.
The calculator uses the wavelength formula:
Where:
Explanation: This equation relates the energy difference between two quantum states to the wavelength of the photon emitted or absorbed during the transition.
Details: Calculating wavelength from energy differences is fundamental in quantum mechanics, spectroscopy, and understanding atomic and molecular transitions. It's essential for analyzing emission and absorption spectra.
Tips: Enter the energy difference in joules (J). The value must be positive and non-zero. The calculator will compute the corresponding wavelength in meters.
Q1: What units should I use for energy difference?
A: The calculator requires energy difference 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 the speed of light constant important?
A: The speed of light is a fundamental constant that relates energy and wavelength in electromagnetic radiation across all frequencies.
Q3: What is Planck's constant?
A: Planck's constant (6.626×10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.
Q4: Can this calculate energy from wavelength?
A: This calculator specifically calculates wavelength from energy. The reverse calculation would use ΔE = hc/λ.
Q5: What are typical wavelength values?
A: Wavelengths can range from picometers (gamma rays) to kilometers (radio waves), depending on the energy difference.