Spectroscopy: Branch of science in which light or other electromagnetic radiation
is resolved into its component wavelengths to produce spectra, which are graphs of intensity vs. wavelength or frequency of radiation. Current usage broadens this definition to include some methods that don’t involve electromagnetic radiation, such as mass spectroscopy (also called mass spectrometry), or electron spectroscopy. This is a useful approach to study matter, since matter will interact with electromagnetic radiation to absorb or emit certain frequencies of radiation which are characteristic of the sample of matter. As we saw when we studied the H atom, radiation is absorbed or emitted only in the frequency of light matches the energy difference of 2 quantum levels of the sample of matter. E
Tool for examining vibrations in molecules. IR spectra are usually taken in the
µ , which corresponds to 4000 − 650 cm-1.
The whole IR region is considered to be around
• Nearly all molecules absorb IR radiation - some exceptions: N2, O2.
• IR spectrum is unique for each molecule – can be used to help identify structure,
or test for presence of molecules whose IR spectra are known. Frequently used to test for federally regulated atmospheric pollutants.
o dispersive spectrometers – light passes through sample, then through a
monochromator, then to detector. By selecting different frequencies w/ the monochromator, the whole spectrum can be obtained.
o fourier-transform spectrometers – high-sensitivity, resolution quicker to
take spectrum because all wavelengths are detected simultaneously – they are separated by applying a Fourier transform to the specially modulated source signal.
o filter photometers – used to detect specific molecules, as in atmospheric
pollutants. Come with special filters for molecules of interest.
• All use a heated solid for source of IR radiation, and IR detectors respond to heat
To a first approximation, each bond represents an independent harmonic oscillator w/ a different fundamental frequency (fundamental frequency: transition between quantum levels ∆n
= 1) [overtone frequency: transitions between quantum levels ∆n
= 2 or higher … see previous slide for C=O overtone].
“hot bands”: if the sample has a high temperature, some population of n=1, n=2, or higher levels will lead to weak absorptions at nearly the same, but slightly lower energy as fundamental. (energy changes because of anharmonicity) Frequency of C-H stretch will change depending on chemical environment (eg C-H aliphatic 3000-2850, aromatic 3150-3000) The vibrations are not truly decoupled from each other. This is due to anharmonicity. H.O. is a good but not perfect model. Why are only ∆n
= 1 transitions intense? This is a “selection rule” for vibrational spectroscopy. As we’ll discuss in more detail later, when we talk about time-dependent perturbation theory, the interaction of a dipole moment with the electric field of the
radiation is − µ ⋅ E
. (coupling to magnetic field also happens but is orders of magnitude weaker). This interaction will cause an intense transition between 2 states n and m if
µϖ = Ψ µϖΨ is nonzero. (“transition dipole moment”) We could work out that this
implies n=m±1 for H.O. using ladder operators or special properties of Hermite polynomials. We would also see that the dipole moment of the molecule must change during the vibration. Molecules with no dipole moment do not have IR spectra! (perhaps Raman spectra though) High-resolution IR spectra: Note that our example IR spectrum of acetophenone has fairly broad peaks. This is typical of liquid film IR spectra. A gas-phase spectrum can exhibit much sharper peaks (widths < 1 cm-1), and we can see each peak (“band”) is resolved into many sub-peaks. This fine structure is due to rotational transitions. We’ll discuss this vibrational-rotational spectroscopy later after we’ve dealt w/ rotations.
Dermatology and Laser Institute of Colorado, P.C. 9695 S Yosemite St, Ste 120 Lone Tree CO 80124-2888 TREATMENT OF WARTS Warts are benign growths caused by the human papilloma virus. Because warts are caused by a virus, they may spread on your skin or to someone else. Do not pick at your warts with your fingernails, as they may spread to your fingers or under your nails. Warts are
The best ICHO-tasks of the last years According to the decision of the work shop of Amsterdam the delegation leaders of 8countries made an attempt to rank the ICHO-tasks of the years 1980 ~ 1990 into thecategoriesexcellent / good / not so good / not acceptableThe following pages indicate the ”top-twelve”, i.e. is the best tasks of the last years. Thiscollection should be an aid for the IC