Curve of growth: Difference between revisions

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|Meaning=For an isolated, gaseous [[absorption band]], the relation between integrated [[absorption]]  by the gas and its amount.
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|Explanation=That is, if  <blockquote>[[File:ams2001glos-Ce55.gif|link=|center|ams2001glos-Ce55]]</blockquote> where &#x003ba; is the (volumetric) [[absorption coefficient]] of the gas, ''x'' is the path length through it,  and the [[range]] of integration over [[frequency]] &#x003bd; is sufficient to include essentially all absorption  within the band, then ''W'' as a function of ''x'' is the curve of growth. This term, which Goody  describes as "curious," is a relic from astronomical [[spectroscopy]].<br/> Goody, R. M. 1964. Atmospheric Radiation. Vol. 1, . p. 125.  
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== curve of growth ==
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<div class="definition"><div class="short_definition">For an isolated, gaseous [[absorption band]], the relation between integrated [[absorption]]  by the gas and its amount.</div><br/> <div class="paragraph">That is, if  <div class="display-formula"><blockquote>[[File:ams2001glos-Ce55.gif|link=|center|ams2001glos-Ce55]]</blockquote></div> where &#x003ba; is the (volumetric) [[absorption coefficient]] of the gas, ''x'' is the path length through it,  and the [[range]] of integration over [[frequency]] &#x003bd; is sufficient to include essentially all absorption  within the band, then ''W'' as a function of ''x'' is the curve of growth. This term, which Goody  describes as &ldquo;curious,&rdquo; is a relic from astronomical [[spectroscopy]].</div><br/> </div><div class="reference">Goody, R. M. 1964. Atmospheric Radiation. Vol. 1, . p. 125. </div><br/>
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Latest revision as of 11:52, 26 March 2024

For an isolated, gaseous absorption band, the relation between integrated absorption by the gas and its amount.
That is, if
ams2001glos-Ce55
where κ is the (volumetric) absorption coefficient of the gas, x is the path length through it, and the range of integration over frequency ν is sufficient to include essentially all absorption within the band, then W as a function of x is the curve of growth. This term, which Goody describes as "curious," is a relic from astronomical spectroscopy.
Goody, R. M. 1964. Atmospheric Radiation. Vol. 1, . p. 125.
  1. The process by which electromagnetic radiation is propagated through free space.
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