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The '''Inglis–Teller equation''' represents an approximate relationship between an energy level and the electron number density. This equation is related to the [[Stark effect]] in which spectral lines are split explicitly due to the presence of an electric field. The equation was derived by [[David R. Inglis]] and [[Edward Teller]] in 1939.


The equation is directly related to astrophysics as the electron densities of stars are determined using this equation. Since the [[Stark effect]] shifts spectral lines, for some energy level ''n'', the splitting is equal to the difference between the adjoining energy level. Beyond this level, spectral lines merge.
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Electron density and the merging energy level relationship for hydrogen atom is given by;
:<math>\log(N_i+N_e)=23.491 - 7.5\log(n_m)\,,</math>
 
where, N<sub>i</sub>= no: of positive ions per cm<sup>3</sup>,
N<sub>e</sub>= no: of negative electrons per cm<sup>3</sup>,
n<sub>m</sub>= last observable energy level of the [[Balmer series]].
 
==Further reading==
*"[http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1978Ap%26SS..56..385V&amp;data_type=PDF_HIGH&amp;whole_paper=YES&amp;type=PRINTER&amp;filetype=.pdf Electron density in the emission line region of Wolf-Rayet stars"] – Y.P Varshni
*[http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1939ApJ....90..439I&amp;data_type=PDF_HIGH&amp;whole_paper=YES&amp;type=PRINTER&amp;filetype=.pdf Ionic Depression of Series Limits in Cne-Electron Spectra]  (Inglis, D. R.; Teller, E.). Astrophysical Journal, vol. 90, p.&nbsp;439.
 
{{DEFAULTSORT:Inglis-Teller equation}}
[[Category:Spectroscopy]]
[[Category:Edward Teller]]
[[Category:1939 in science]]

Latest revision as of 22:57, 28 September 2014


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