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Wavenumbers and Frequencies - Chemistry

Wavenumbers and Frequencies The relation between wavelength and frequency for electromagnetic radiation is = c In the SI system of units the wavelength is measured in meters (m) and since wavelengths are usually very small one often uses the nano meter (nm). which is 10-9 m. The frequency in the SI system is measured in reciprocal seconds s 1. which is called a Hertz and represented by Hz. Often in Chemistry one will use the reciprocal of the wavelength in centimeters as a measure of the frequency of radiation. This unit is called a wavenumber and is represented by and is defined by 1 . = =. c Example: The wavelength of the red line in the hydrogen spectrum is approximately nm. This corresponds to x 10-9 m x 102 cm/m or x 10-7 cm or cm-1.

The wavelength of the red line in the Hydrogen spectrum is approximately 656.5 nm. This corresponds to 656.5 x 10-9 m x 102 cm/m or 656.5 x 10-7 cm or 1.523x104 cm-1. We can convert this to Hz by multiplying by the speed of light which is 2.99792458 x 10. 10. cm s-1. resulting in 4.566 x 10. 14. Hz.

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  Spectrum, Hydrogen, Hydrogen spectrum

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Transcription of Wavenumbers and Frequencies - Chemistry

1 Wavenumbers and Frequencies The relation between wavelength and frequency for electromagnetic radiation is = c In the SI system of units the wavelength is measured in meters (m) and since wavelengths are usually very small one often uses the nano meter (nm). which is 10-9 m. The frequency in the SI system is measured in reciprocal seconds s 1. which is called a Hertz and represented by Hz. Often in Chemistry one will use the reciprocal of the wavelength in centimeters as a measure of the frequency of radiation. This unit is called a wavenumber and is represented by and is defined by 1 . = =. c Example: The wavelength of the red line in the hydrogen spectrum is approximately nm. This corresponds to x 10-9 m x 102 cm/m or x 10-7 cm or cm-1.

2 We can convert this to Hz by multiplying by the speed of light which is x 1010 cm s-1 resulting in x 1014 Hz.


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