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Wavelength Formula:
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The Wavelength Calculator determines the wavelength of light 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 equation:
Where:
Explanation: This equation relates the energy difference between two quantum states to the wavelength of light 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 light-matter interactions in physics and chemistry.
Tips: Enter the energy difference in joules (J). The value must be positive and greater than 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), convert to joules first (1 eV = 1.602 × 10⁻¹⁹ J).
Q2: Why is the result in meters?
A: The SI unit for wavelength is meters. For light wavelengths, you may want to convert to nanometers (1 m = 10⁹ nm) for easier interpretation.
Q3: What if I get an extremely small number?
A: Light wavelengths are typically very small. For visible light, wavelengths range from about 380-750 nanometers (3.8-7.5 × 10⁻⁷ m).
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 applications use this calculation?
A: This calculation is used in spectroscopy, quantum mechanics, laser physics, and analyzing atomic and molecular spectra.