Multicomponent sensitivity

Sensitivity, derivative of the measured quantity (response) y with respect to the analytical quantity x Total multicomponent sensitivity... 

It may be useful to characterize multicomponent analyses not only by the single sensitivities of each component, but additionally by a total multicomponent sensitivity Stotai> In the case of undisturbed measurements it is given by... 

In case of serious overlappings, multivariate techniques (see Sect. 6.4) are used and p ) > n sensors (measuring points zjt) are measured for n components. From this an overdetermined systems of equations results and, therefore, non-squared sensitivity matrixes. Then the total multicomponent sensitivity is given by... 

As mentioned, the first property of an effective sensitizer is chemical purity. This simplifies the interpretation of dose- response relationships in a situation made complex hy extra variables including drug-light interval, total energy, fluence rate and especially pharmacokinetics. With a multicomponent sensitizer (such as Photofrin) the rational interpretation of the causes for the overall effect becomes very difficult. 

As more complex multicomponent blends are being developed for commercial appHcations, new approaches are needed for morphology characterization. Often, the use of RuO staining is effective, as it is sensitive to small variations in the chemical composition of the component polymers. For instance PS, PC, and styrene—ethylene/butylene—styrene block copolymers (SEES) are readily stained, SAN is stained to a lesser degree, and PET and nylons are not stained (158,225—228). 

Calcination or dead burning is used extensively to dehydrate cements (qv) and hygroscopic materials such as MgO, and to produce a less water sensitive product. Calcination is also used to decompose metal salts to base oxides and to produce multicomponent or mixed oxide powders for... 

The sensitivity of the analytical system in the case of multicomponent analysis with a square K matrix may be defined as the absolute value of the deterrninant of K. 

Multicomponent analysis by non-selective methods is based on the measurement of total analytical signal (AS) of mixture of components at several intensive parameters and on the constmction of combined equations and the solving of it. The difference of partial sensitivity of components determined in common defines uncertainty. 

The complex distribution system that results from the frontal analysis of a multicomponent solvent mixture on a thin layer plate makes the theoretical treatment of the TLC process exceedingly difficult. Although specific expressions for the important parameters can be obtained for a simple, particular, application, a general set of expressions that can help with all types of TLC analyses has not yet been developed. One advantage of the frontal analysis of the solvent, however, is to produce a concentration effect that improves the overall sensitivity of the technique. 

The mercury film electrode has a higher surface-to-volume ratio than the hanging mercury drop electrode and consequently offers a more efficient preconcentration and higher sensitivity (equations 3-22 through 3-25). hi addition, the total exhaustion of thin mercury films results in sharper peaks and hence unproved peak resolution in multicomponent analysis (Figure 3-14). 

The use of phase sensitive detection with the phase fluorometer to analyze multicomponent systems was first described in 1970 by Veselova and coworkers (76). 

All these methods give similar results but their sensitivities and resolutions are different. For example, UV-Vis spectrophotometry gives good results if a single colorant or mixture of colorants (with different absorption spectra) were previously separated by SPE, ion pair formation, and a good previous extraction. Due to their added-value capability, HPLC and CE became the ideal techniques for the analysis of multicomponent mixtures of natural and synthetic colorants found in drinks. To make correct evaluations in complex dye mixtures, a chemometric multicomponent analysis (PLS, nonlinear regression) is necessary to discriminate colorant contributions from other food constituents (sugars, phenolics, etc.). 

The ability of differential pulse polarography to resolve multicomponent systems and evaluate concentrations with excellent sensitivity has made this technique an attractive candidate for simultaneous measurement of CO, O, and some inhalation anesthetics Though very preliminary, the results appear promising and will likely lead to more intensive investigation of the approach. 

The program is rather slow in execution and therefore the model is limited to an eight-plate column, which is rather unrealistic for this multicomponent separation. The program is therefore given only for example purposes and a real simulation should involve rather more plates. As in BSTILL, the speed of calculation is also very sensitive to the magnitude of the liquid holdup on the plates, which again are large compared to normal practice. 

Although the feasibility of direct probe MS for the analysis of additives in complex polymeric matrices has been demonstrated (Section 6.4), application is limited, difficult and requires above-average mass-spectroscopic expertise. Direct desorption in the MS probe is usually limited to screening of volatile components. Direct multicomponent spectroscopic analysis has other hurdles to overcome (UV/VIS lack of spectral discrimination IR/R functional-group recognition only, with no discriminative power for additives with similar functionalities NIRS unsuitable for R D problems NMR sensitivity). 

Matrix of sensitivity factors in multicomponent analysis (e.g., absorbance factors)... 

More extensive, multicomponent system are described by the sensitivity matrix (matrix of partial sensitivities according to Kaiser [1972], also called K-matrix according to Jochum et al. [1981]) ... 

Matrix that contains all the sensitivities and cross sensitivities of a multicomponent (multidetector) analytical system. 

Sensitivity of a multicomponent analysis. In the simplest case it is given by the determinant of the sensitivity matrix. 

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