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Abbe number

From Biocrawler, the free encyclopedia.

In physics and optics, the Abbe number, also known as the V-number or constringence of a transparent material is a measure of the material's dispersion (variation of refractive index with wavelength). Named for Ernst Abbe (1840-1905), German physicist.

The Abbe number V of a material is defined as:

V = \frac{ n_D - 1 }{ n_F - n_C }

where nD, nF and nC are the refractive indices of the material at the wavelengths of the Fraunhofer D-, F- and C- spectral lines (589.2 nm, 486.1 nm and 656.3 nm respectively). Low dispersion materials have high values of V.

Abbe numbers are used to classify glasses. For example, flint glasses have V<50 and crown glasses have V >50. Typical values of V range from around 20 for very dense flint glasses, up to 60 for very light crown glass. Abbe numbers are only a useful measure of dispersion for visible light, and for other wavelengths, or for higher precision work, the group velocity dispersion is used.

See also:

ja:アッベ数 sl:Abbejevo število zh:阿贝数

Wikipedia (http://en.wikipedia.org/wiki/Main_Page) Abbe_number (http://en.wikipedia.org/wiki/Abbe_number) version history (http://en.wikipedia.org/w/index.php?title=Abbe_number&action=history) GNU Free Documentation Lizenz (http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License) CC-by-sa (http://creativecommons.org/licenses/by-sa/2.5/)

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