CHEM 240: Introduction to
Bioanalytical Chemistry

J. D. Cronk
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12. header

Lecture 12. Principles of spectrophotometry

Wednesday 15 February 2006

Basic principles of spectrophotometry. Properties of light and other types of electromagnetic radiation. Relations between frequency, wavelength, and energy. Transmittance, absorbance, and Beer's law. Using Beer's law.

Reading: Harris - Ch.18, p.375-384.

 

12. Summary

Lecture 12 summary

Basic concepts of spectrophotometry (in progress)

The electromagnetic (EM) spectrum and the properties of light

The EM spectrum encompasses a wide range of types of radiation that are familiar to us in a variety of different contexts - radio waves, visible light, X-rays - but these are all fundamentally the same physical phenomenon. Thus visible light represents only a small portion of the entire EM spectrum.

Relationship between wavelength (l) and frequency (n) of electromagnetic radiation:

c  =  ln.

where c is the speed of light (c = 2.998 x 108 m/s).

The relation between energy and frequency (Planck's relation): E = hn ; The quantity h is Planck's constant, a fundamental constant of nature that corresponds to the quantization of matter and energy at the atomic scale. The value of Planck's constant: h = 6.627 x 10–34 J s.

We can derive a relation between the energy and the wavelength of EM radiation by combining the above two relations. Substituting n = c/l into Planck's relation yields E = hc/l . In spectrophotometry, the quantity wavenumber is somettimes used (symbolized n-bar) which is defined as 1 /l . Thus, while wavelength is inversely-proportional to energy, both wavenumber and frequency are directly proportional to energy.

 
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