Convert positive vacuum wavelength to spectroscopic wavenumber in cm⁻¹ or m⁻¹, or start from wavenumber, frequency, or photon energy. View the matching quantities and approximate spectral region.
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Cm To Wavenumber Formula
The following formula is used to calculate the wavenumber.
Variables:
- W is the wavenumber (cm-1)
- λ is the wavelength in centimeters (cm)
To calculate the wavenumber, take the reciprocal of the wavelength in centimeters. This means dividing 1 by the wavelength. The result is the wavenumber, measured in reciprocal centimeters (cm-1).
| Wavelength (cm) | Wavelength (μm) | Wavelength (nm) | Wavenumber (cm-1) |
|---|---|---|---|
| 0.00106 | 10.6 | 10600 | 943.40 |
| 0.000300 | 3.0 | 3000 | 3333.33 |
| 0.000250 | 2.5 | 2500 | 4000.00 |
| 0.000155 | 1.55 | 1550 | 6451.61 |
| 0.0001064 | 1.064 | 1064 | 9398.50 |
| 0.0000785 | 0.785 | 785 | 12738.85 |
| 0.0000633 | 0.633 | 633 | 15797.79 |
| 0.0000532 | 0.532 | 532 | 18796.99 |
| 0.0000488 | 0.488 | 488 | 20491.80 |
| 0.0000405 | 0.405 | 405 | 24691.36 |
| 0.0000355 | 0.355 | 355 | 28169.01 |
| 0.0000340 | 0.340 | 340 | 29411.76 |
| 0.0000325 | 0.325 | 325 | 30769.23 |
| 0.0000313 | 0.313 | 313 | 31948.88 |
| 0.0000302 | 0.302 | 302 | 33112.58 |
| 0.0000266 | 0.266 | 266 | 37593.98 |
| 0.0000248 | 0.248 | 248 | 40322.58 |
| 0.0000214 | 0.214 | 214 | 46728.97 |
| 0.0000200 | 0.200 | 200 | 50000.00 |
| 0.0000193 | 0.193 | 193 | 51813.47 |
| Formulae: k(cm-1) = 1 / λ(cm) = 104 / λ(μm) = 107 / λ(nm). | |||
What is Cm To Wavenumber?
Cm to wavenumber is a conversion used in spectroscopy, which is the study of the interaction between matter and electromagnetic radiation. The spectroscopic wavenumber used here is the spatial frequency in cycles per unit distance. Angular wavenumber is 2π divided by wavelength and is a different quantity. It is typically measured in reciprocal centimeters (cm-1), hence the conversion from cm to wavenumber. The wavenumber is calculated as the reciprocal of the wavelength in centimeters (1/wavelength).
How to Calculate Cm To Wavenumber?
The following steps outline how to calculate the Cm To Wavenumber using the formula: W = 1 / λ
- First, determine the wavelength in centimeters (λ).
- Next, use the formula W = 1 / λ to calculate the wavenumber (W).
- Select the known quantity and its unit in the calculator, then select Calculate. For λ = 5 cm, W = 0.2 cm⁻¹.
- After inserting the variables 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.
wavelength in centimeters (λ) = 5
