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Absorbance is defined as "the logarithm of the ratio of incident to transmitted radiant power through a sample (excluding the effects on cell walls)". [1] Alternatively, for samples which scatter light, absorbance may be defined as "the negative logarithm of one minus absorptance, as measured on a uniform sample". [2]
Therefore, measurements at two wavelengths yields two equations in two unknowns and will suffice to determine the amount concentrations c 1 and c 2 as long as the molar attenuation coefficients of the two components, ε 1 and ε 2 are known at both wavelengths. This two system equation can be solved using Cramer's rule.
The Elliott formula describes analytically, or with few adjustable parameters such as the dephasing constant, the light absorption or emission spectra of solids. It was originally derived by Roger James Elliott to describe linear absorption based on properties of a single electron–hole pair. [ 1 ]
This should not be confused with "absorbance". Spectral hemispherical absorptance: A ν A λ — Spectral flux absorbed by a surface, divided by that received by that surface. This should not be confused with "spectral absorbance". Directional absorptance: A Ω — Radiance absorbed by a surface, divided by the radiance incident onto that surface.
The absorption coefficient is fundamentally the product of a quantity of absorbers per unit volume, [cm −3], times an efficiency of absorption (area/absorber, [cm 2]). Several sources [ 2 ] [ 12 ] [ 3 ] replace nσ λ with k λ r , where k λ is the absorption coefficient per unit density and r is the density of the gas.
They developed a scheme, subject to the limitations of a two-flux model, to calculate the "scatter corrected absorbance" for a sample. [27] The decadic absorbance of a scattering sample is defined as −log 10 (R+T) or −log 10 (1−A). For a non scattering sample, R = 0, and the expression becomes −log 10 T or log( 1 / T ), which is ...
An overview of absorption of electromagnetic radiation.This example shows the general principle using visible light as a specific example. A white light source—emitting light of multiple wavelengths—is focused on a sample (the pairs of complementary colors are indicated by the yellow dotted lines).
The absorption coefficient is given by ′ = (), where and are the Einstein coefficients for photon absorption and induced emission respectively. Like the coefficient A 21 {\displaystyle A_{21}} , these are also fixed by the intrinsic properties of the relevant atom for the two relevant energy levels.