Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Beer-Bouguer law

Also, absorptivity, a, has been largely replaced by use of the molar extinction coefficient, e, which is the absorbance of a IM solution of a pure compound under standard conditions of solvent, temperature, and wavelength. Therefore, in its most used form the Bouguer-Beer law is... [Pg.40]

At times it is necessary to do a linear least-squares fit with the constraint that the slope or the intercept must have a specific value. For example, the Bouguer-Beer law states that the absorbance of a solution is proportional to the concentration of the colored substance. In fitting the absorbance of several solutions to their concentrations, one would specify that the intercept of the least-squares line had to be zero. [Pg.353]

The amount of light absorbed is a function of the so-called absorption coefficient k ) and of the optical path length in the atomiser cell (ft) k depends on the frequency of the selected analytical line and on the concentration of the analyte absorbing atoms. The general absorbance law (Lambert-Bouguer-Beer law) relates transmittance (and so measured intensities I and 1q) with k and b through the following equation ... [Pg.25]

The multivariate quantitative spectroscopic analysis of samples with complex matrices can be performed using inverse calibration methods, such as ILS, PCR and PLS. The term inverse means that the concentration of the analyte of interest is modelled as a function of the instrumental measurements, using an empirical relationship with no theoretical foundation (as the Lambert Bouguer Beer law was for the methods explained in the paragraphs above). Therefore, we can formulate our calibration as in eqn (4.3) and, in contrast to the CLS model, it can be calculated without knowing the concentrations of all the constituents in the calibration set. The calibration step requires only the instrumental response and the reference value of the property of interest (e.g. concentration) in the calibrators. An important advantage of this approach is that unknown interferents may be present in the calibrators. For this reason, inverse models are more suited than CLS to complex problems. [Pg.285]

When the simplest multivariate regression technique eonsidered in this monograph, multiple linear regression, was presented as an immediate generalisation of the Lambert-Bouguer-Beer law (see Chapter 4), it was shown that it can be expressed y = a + bi-Xi + b2-X2+. .. + bn - Xn + e where y is the concentration of the analyte to be predicted, the b s are the regression coefficients and the x s are the atomic absorbances, intensities, etc. at times... [Pg.386]

Quantitative infrared analysis is based upon Beer s law, often called the Bouguer-Beer law or the Lambert-Beer law. The simplest form of Beer s law is... [Pg.152]

Goldstein and Day published a kinetic interpretation of the Bouguer-Beer law. Liebhafsky and Pfeiffer derived Beer s... [Pg.239]

Equations [1] and [2] are combined to give the Bouguer-Beer law shown in Equation [3] where 8 is the molar absorptivity, i.e. the absorbance of a one molar solution of the compound. Note that is specific for each compound at particular wavelength. [Pg.767]

The quantitative relationship between the concentration, c, of a component in a sample and its absorbance, A, is given by the Bouguer-Beer law ... [Pg.125]

INFRARED TECHNOLOGY AND RAMAN SPECTROSCOPY - INFRARED TECHNOLOGY] (Vol 14) Bouguer-Lambert-Beer Law... [Pg.125]

Transmission, Absorption, and Beer s Law. The majority of infrared spectrometry is stiU done by the classic method of transmission spectrometry the intensity of an infrared beam passing completely through a sample is measured. The standard description of how much radiation passes through the sample is that of Beet s law (or the Bouguer-Beer-Lambertlaw) ... [Pg.197]

Bottom-up nanoscale fabrication, 24 61 Bottom-up technology, 17 45 Bouguer-Lambert-Beer law, 18 153 ... [Pg.115]

Beer-Lambert-Bouguer law See Bouguer-Lambert-Beer law. ba-3r lam-b3rt bti ger... [Pg.39]

Bouguer-Lambert-Beer law analy chem The intensity of a beam of monochromatic radiation in an absorbing medium decreases exponentially with penetration distance. Also known as Beer-Lambert-Bouguer law Lambert-Beer law. bCi ger lam bert ber, 16 ... [Pg.50]

The main advantage of multivariate calibration based on CLS with respect to univariate calibration is that CLS does not require selective measurements. Selectivity is obtained mathematically by solving a system of equations, without the requirement for chemical or instrumental separations that are so often needed in univariate calibration. In addition, the model can use a large number of sensors to obtain a signal-averaging effect [4], which is beneficial for the precision of the predicted concentration, making it less susceptible to the noise in the data. Finally, for the case of spectroscopic data, the Lambert Bouguer Beer s law provides a sound foundation for the predictive model. [Pg.170]

The mathematical reconstruction of a property field, F(x,y), from its projection in the 0 direction is the basis of "Computerized Tomography" (1,2). An identical technique can be used to reconstruct a field of linear absorption coefficient functions in a combusting flow field from multiangular path integrated absorption measurements. The linear absorption coefficient is the familiar N.Q. product, where is the concentration of species i and Q. is the absorption cross section of species i at the frequency v. The Bouguer-Lambert-Beer law states that... [Pg.427]

The intensity of light passing through smoke is attenuated due to scattering and absorption by the suspended particulates. Light attenuation by smoke is described by the following equation, which is known as the Bouguer or Lambert-Beer law ... [Pg.371]

Light beam of intensity /(v) and the Bouguer-Lambert-Beer law, or Beer s law. [Pg.211]

The factor 7 is also known as the turbidity or attenuation coefficient. Equations 16.3 through 16.5 are all forms of what is sometimes known as Beer s law but should more properly be called Bouguer s law, in honor of the person who empirically established it in 1760. [Pg.343]


See other pages where Beer-Bouguer law is mentioned: [Pg.359]    [Pg.525]    [Pg.281]    [Pg.282]    [Pg.284]    [Pg.359]    [Pg.235]    [Pg.359]    [Pg.525]    [Pg.281]    [Pg.282]    [Pg.284]    [Pg.359]    [Pg.235]    [Pg.125]    [Pg.305]    [Pg.83]    [Pg.125]    [Pg.295]    [Pg.17]    [Pg.264]    [Pg.210]    [Pg.211]    [Pg.211]    [Pg.212]    [Pg.264]    [Pg.196]    [Pg.216]   
See also in sourсe #XX -- [ Pg.169 ]




SEARCH



Beer Law

Beer-Bouguer-Lambert law

Bouguer

Bouguer-Lambert-Beer’s law

Effect of high optical densities on the Beer-Lambert-Bouguer law

© 2024 chempedia.info