Enter the energy in joules into the calculator to determine the wavenumber in inverse centimeters. This calculator helps convert the energy of a photon to its corresponding wavenumber.

Joules To Wavenumber Formula

The following formula is used to convert energy in joules to wavenumber in inverse centimeters.

(tilde{nu} = frac{E}{hc} times 10^{-2})

Variables:

  • (tilde{nu}) is the wavenumber (cm-1)
  • E is the energy in joules (J)
  • h is Planck’s constant (6.62607015 × 10-34 J·s)
  • c is the speed of light (299,792,458 m/s)

To convert energy to wavenumber, divide the energy by the product of Planck’s constant and the speed of light, then multiply by 10-2 to convert from meters to centimeters.

What is Wavenumber?

Wavenumber is a property used in physics and chemistry to represent the number of wavelengths per unit distance, typically measured in inverse centimeters (cm-1). It is often used in the context of spectroscopy to describe the energy levels of photons, molecules, and other particles.

How to Calculate Wavenumber from Energy?

The following steps outline how to calculate the wavenumber from energy.


  1. First, determine the energy (E) in joules.
  2. Next, use the formula (tilde{nu} = frac{E}{hc} times 10^{-2}).
  3. Finally, calculate the wavenumber ((tilde{nu})) in inverse centimeters.
  4. After inserting the energy value and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Energy (E) = 3.2 × 10-19 joules