| MadSci Network: Chemistry |
Spectroscopy is the study of the interaction of electromagnetic radiation
with a chemical substance. The frequencies that these substances will
absorb are unique for each molecule. Generally, the wavenumber is used to
measure the position of an infrared (IR) absorption. IR absorption bands
are common in most organic and inorganic compounds. When IR light in
incident on the molecule, the frequency, which matches the natural
frequency of that molecule, is absorbed resulting on molecular
vibrations. These vibrations can either be stretching or bending. As
only a few molecules also exhibit rotation transitions upon IR absorption
the vibrational transitions are of more practical interest.
For diatomic molecules:
v = 1/(2*pi*c) * sqrt{[k(m1+m2)]/(m1*m2)}
Where, v = the wavenumber [cm-1], pi = 3.1415926…, c = speed of light in a
vacuum [cm/s], k = the force constant [dynes/cm], and m1 & m2 are the
masses of the vibrating atoms within the molecule [g].
The force constant (k) is proportional to the bond energy for stretching
and the overall resistance to motion for bending. Specific vibrational
wavenumbers can be observed from any IR absorption spectrum. By knowing
these wavenumber and the molecule (atoms) involved in the scan, the
previous equation can be solved for the force constant.
Following are several additional references related to IR spectroscopy and
bond strength:
www.scar.utoronto.ca/~jthompso/chmc31/c31irtes.pdf
chemlearn.chem.indiana.edu/c343/08-C343IR.pdf
willson.cm.utexas.edu/Teaching/Chem618B/Files/PDF_Lectures/ lecture6.pdf
www.vuw.ac.nz/scps/students/chem206/c206spectroscopy.pdf
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