Difference between revisions of "Curve of Growth"

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Curve of Growth


In spectroscopy, the relationship between the amount of radiant energy removed by an absorption line and the number of atoms or molecules of the absorbing gas in the light path.
If the logarithm of energy absorbed is plotted against the logarithm of amount of gas in the path, the resulting curve of growth usually has two straight-line segments. The first, for small absorption and small amounts of gas, has a slope of 1; the second, for large absorption and large amounts of gas, has a slope of 1/2. Thus, initially absorption is directly proportional to the number of atoms or molecules, but as the line becomes more intense, absorption becomes proportional to the square root of the number of atoms or molecules. Between these two straight-line segments there is often a portion in which an increase in the amount of gas in the path produces very little increase in total absorption. All of this discussion applies in the case of gaseous emission as well as absorption.

References

This article is based on NASA's Dictionary of Technical Terms for Aerospace Use