1998
DOI: 10.1002/(sici)1099-128x(199805/06)12:3<183::aid-cem506>3.0.co;2-x
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Multivariate resolution of rank-deficient spectrophotometric data from first-order kinetic decomposition reactions

Abstract: The effect of a rank deficiency upon curve resolution in simple kinetic reaction‐based systems is studied. Firstly, simulated rank‐deficient spectrophotometric data of a mixture of two reagents, each one yielding its own reaction product by a first‐order kinetic reaction, are analysed. Four different situations are considered according to the differences in the spectral responses of the reaction constituents and to the differences in the rate constants between the two kinetic processes. A variation of the rate… Show more

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Cited by 104 publications
(62 citation statements)
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“…their chemical rank is lower than the total number of absorbing compounds [44]. The rank deficiency can be overcome by column-wise matrix augmentation, as has already been demonstrated [45,46]. For each additional matrix corresponding to an independent initial condition (in this case, different initial concentration of the reagents), the rank of the augmented matrix increases by one until its value is the same as the number of absorbent species [46].…”
Section: Discussionmentioning
confidence: 99%
“…their chemical rank is lower than the total number of absorbing compounds [44]. The rank deficiency can be overcome by column-wise matrix augmentation, as has already been demonstrated [45,46]. For each additional matrix corresponding to an independent initial condition (in this case, different initial concentration of the reagents), the rank of the augmented matrix increases by one until its value is the same as the number of absorbent species [46].…”
Section: Discussionmentioning
confidence: 99%
“…Second, it is necessary to know the exact initial concentrations of reactants; and finally, the reactions and chemicals involved are highly affected by physical and chemical parameters such as temperature or pH. [13][14][15][16] However, some chemometrics methods apply multivariate data analysis for the complete resolution of spectroscopic information. In these methods, the measured spectra for a chemical reaction can render a two-way data matrix, which contains both the reaction kinetic information (such as rate constants) and the pure spectrum of each component involved in the reaction.…”
Section: Chemometrics Methods To Study the Self-healing Reactionmentioning
confidence: 99%
“…This description includes all kinds of processes and mixtures monitored by diverse multivariate responses, such electrochemical measurements. On the other hand, other reasons for the acceptance of MCR-ALS are its ability to deal with multiple data matrices simultaneously (reducing factor analysis intrinsic ambiguities [45,48,49] and/or data rank deficiencies [50,51]) and the diversity and flexible application of constraints to help and improve the resolution results.…”
Section: Multivariate Curve Resolution-alternating Least Squares Toolboxmentioning
confidence: 99%