Band and Line Shape
A wide variety of absorption band and line shapes exist, and the analysis of the band or line shape can be used to determine information about the system that causes it. In many cases it is convenient to assume that a narrow spectral line is a Lorentzian or Gaussian, depending respectively on the decay mechanism or temperature effects like Doppler broadening. Analysis of the spectral density and the intensities, width and shape of spectral lines sometimes can yield a lot of information about the observed system like it is done with Mössbauer spectra.
In systems with a very large number of states like macromolecules and large conjugated systems the separate energy levels can't always be distinguished in an absorption spectrum. If the line broadening mechanism is known and the shape of then spectral density is clearly visible in the spectrum, it is possible to get the desired data. Sometimes it is enough to know the lower or upper limits of the band or its position for an analysis.
For condensed matter and solids the shape of absorption bands are ofter determined by transitions between states in their continuous density of states distributions. For crystals the electronic band structure determines the density of states. In fluids, glasses and amorphous solids there is no long range correlation and the dispersion relations are isotropic. This makes density of states calculations of absorption band shapes easier. For charge-transfer complexes and conjugated systems the band width is determined by a variety of factors.
Read more about this topic: Absorption Band
Famous quotes containing the words band and, band, line and/or shape:
“The band waked me with a serenade. How they improve! A fine band and what a life in a regiment! Their music is better than food and clothing to give spirit to the men.”
—Rutherford Birchard Hayes (18221893)
“And the heavy night hung dark
The hills and waters oer,
When a band of exiles moored their bark
On the wild New England shore.”
—Felicia Dorothea Hemans (17831835)
“A route differs from a road not only because it is solely intended for vehicles, but also because it is merely a line that connects one point with another. A route has no meaning in itself; its meaning derives entirely from the two points that it connects. A road is a tribute to space. Every stretch of road has meaning in itself and invites us to stop. A route is the triumphant devaluation of space, which thanks to it has been reduced to a mere obstacle to human movement and a waste of time.”
—Milan Kundera (b. 1929)
“The gay world that flourished in the half-century between 1890 and the beginning of the Second World War, a highly visible, remarkably complex, and continually changing gay male world, took shape in New York City.... It is not supposed to have existed.”
—George Chauncey, U.S. educator, author. Gay New York: Gender, Urban Culture, and the Making of the Gay Male World, 1890-1940, p. 1, Basic Books (1994)