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Variable pathlength cell
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Variable pathlength cell : ウィキペディア英語版
Variable pathlength cell
A variable pathlength cell is a sample holder used for ultraviolet–visible spectroscopy or infrared spectroscopy that has a path length that can be varied to change the absorbance without changing the sample concentration.
== Equations ==
The Beer-Lambert law states that there is a logarithmic dependence between the transmission (or transmissivity), T, of light through a substance and the product of the absorption coefficient of the substance, α, and the distance the light travels through the material (i.e. the path length), ℓ. The absorption coefficient can, in turn, be written as a product of either a molar absorptivity of the absorber, ε, and the concentration c of absorbing species in the material, or an absorption cross section, σ, and the (number) density N of absorbers. (see Beer Lambert Law link for full derivation)
: A = \varepsilon \ell c
Spectroscopy with a variable pathlength cell takes advantage of Beer-Lambert law to determine concentrations of various solutions. By knowing the molar absorbtivity of the material and varying the path length, absorption can be plotted as a function of path length. See sample plot to the right:
By taking a linear regression of the linear plot above an expression relating Absorbance, A, slope, m, pathlength and concentration can be derived.
A linear equation of two variables can be derived,
: y=mx+b
by equating in terms of units we get,
: A=m\ell+b
Since the slope of the line is in units of Abs/Pathlength, slope can be expressed as,
: m=
by inserting into Beer’s Law we get,
: m=\varepsilon c
This is the slope spectroscopy equation.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Variable pathlength cell」の詳細全文を読む



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