Home
Back
Energy To Wavelength Formula:
| From: | To: |
The Energy To Wavelength formula calculates the wavelength of electromagnetic radiation from its energy using Planck's constant and the speed of light. This relationship is fundamental in quantum mechanics and spectroscopy.
The calculator uses the formula:
Where:
Explanation: This formula demonstrates the inverse relationship between the energy of a photon and its wavelength - higher energy corresponds to shorter wavelength.
Details: Calculating wavelength from energy is essential in various fields including spectroscopy, quantum physics, photochemistry, and optical engineering. It helps determine the nature of electromagnetic radiation and its interactions with matter.
Tips: Enter the energy value in joules. The energy must be a positive value greater than zero. The calculator will compute the corresponding wavelength in meters.
Q1: What are the typical energy ranges for this calculation?
A: This formula applies to all electromagnetic radiation, from radio waves (low energy, long wavelength) to gamma rays (high energy, short wavelength).
Q2: Can this formula be used for particles other than photons?
A: The formula \( \lambda = h/p \) (de Broglie wavelength) should be used for particles with mass, where p is momentum.
Q3: What are common units for energy in spectroscopy?
A: While joules are SI units, electronvolts (eV) are commonly used in atomic and optical physics (1 eV = 1.602×10⁻¹⁹ J).
Q4: How does wavelength relate to frequency?
A: Wavelength and frequency are related by \( c = \lambda \nu \), where ν is frequency. Energy can also be expressed as \( E = h\nu \).
Q5: What are practical applications of this calculation?
A: This calculation is used in designing lasers, analyzing spectral lines, determining molecular energy levels, and in various medical and industrial applications involving electromagnetic radiation.