Rank annihilation factor analysis for multicomponent kinetic- spectrophotometric determination using difference spectra

Journal of Chemometrics

Volumn 23, Issue 5, 2009, Pages 236-247

  Bahram, Morteza ^a   Mabhooti, Mehdi ^a  

^a URMIA UNIVERSITY   (Iran)

Author keywords

Difference spectra; Kinetic; Rank annihilation factor analysis; Spectrophotometric

Indexed keywords

COMPLEXATION; KINETICS; MATRIX ALGEBRA; MULTIVARIANT ANALYSIS; SPECTROPHOTOMETERS; SPECTROPHOTOMETRY; SPECTRUM ANALYSIS;

ANALYTES; COMPLEXATION REACTION; DATA MATRIX; DIFFERENCE SPECTRUM; FACTORS ANALYSIS; MULTICOMPONENTS; RANK ANNIHILATION FACTOR ANALYSE; SPECTRA'S; SPECTROPHOTOMETRIC; SPECTROPHOTOMETRIC DETERMINATION;

FACTOR ANALYSIS;

EID: 67649289260     PISSN: 08869383     EISSN: 1099128X     Source Type: Journal    
DOI: 10.1002/cem.1216     Document Type: Article

References (38)

1. Perez-Bendito D, Silva M. Kinetic Methods in Analytical Chemistry. Ellis Horwood Limited, Halsted Press: New York, 1988.
2. Maeder M, Neuhold Y-M, Olsen A, Puxty G, Dyson R, Zilian A. Rank annihilation correction for the amendment of instrumental inconsistencies. Anal. Chim. Acta 2002; 464: 249-259.
3. Bro R. Chemometr. PARAFAC. Tutorial and applications. Intell. Lab. Syst. 1997; 38: 149-171.
4. Sanchez E, Kowalski BR. Generalized rank annihilation factor analysis. Anal. Chem. 1986; 58: 496-499.
5. Sanchez E, Kowalski BR. Tensorial resolution: A direct trilinear decomposition. J. Chemom. 1990; 1: 29-45.
6. De Juan A, Casassas E, Tauler R. In Encyclopedia of Analytical Chemistry: Instrumentation and Applications, Vol. 11 Myers RA (ed.). Wiley: Chichester, West Sussex, UK, 2002; 9800-9837.
7. Linder M, Sundberg R. Second-order calibration: bilinear least squares regression and a simple alternative. Chemom. Intell. Lab. Syst. 1998; 42: 159-178.
8. Linder M, Sundberg R. Precision of prediction in second-order calibration, with focus on bilinear regression methods. J. Chemom. 2002; 16: 12-27.
9. Wu HL, Shibukawa M, Oguma K. An alternating trilinear decomposition algorithm with application to calibration of HPLC-DAD for simultaneous determination of overlapped chlorinated aromatic hydrocarbons. J. Chemom. 1998; 12: 1-26.
10. Chen ZP, Wu HL, Jiang JH, Li Y, Yu RQ. A novel trilinear decomposition algorithm for second-order linear calibration. Chemom. Intell. Lab. Syst. 2000; 52: 75-86.
11. Hu LQ, Wu HL, Ding YJ, Fang DM, Xia AL, Yu RQ. Alternating asymmetric trilinear decomposition for three-way data arrays analysis. Chemom. Intell. Lab. Syst. 2006; 82: 145-153.
12. Xia AL, Wu HL, Fang DM, Ding YJ, Hu LQ, Yu RQ. Alternating penalty trilinear decomposition algorithm for second-order calibration with application to interference-free analysis of excitation-emission matrix fluorescence data. J. Chemom. 2005; 19: 65-76.
13. Ho CN, Christian GD, Davidson ER. Application of the method of rank annihilation to quantitative analyses of multicomponent fluorescence data from the video fluorometer. Anal. Chem. 1978; 50: 1108-1113.
14. Ho CN, Christian GD, Davidson ER. Application of the method of rank annihilation to fluorescent multicomponent mixtures of polynuclear aromatic hydrocarbons. Anal. Chem. 1980; 52: 1071-1079.
15. Ho CN, Christian GD, Davidson ER. Simultaneous multicomponent rank annihilation and applications to multicomponent fluorescent data acquired by the video fluorometer. Anal. Chem. 1981; 53: 92-98.
16. Lorber A. Features of quantifying chemical composition from twodimensional data array by the rank annihilation factor analysis method. Anal. Chem. 1985; 57: 2395-2397.
17. Burns DH, Callis JB, Christian CD. Rank annihilation with incomplete information. Anal. Chem. 1986; 58: 2805-2811.
18. Beltran JL, Ferrer R, Guiteras J. Multivariate calibration of polycyclic aromatic hydrocarbon mixtures from excitation-emission fluorescence spectra. Anal. Chim. Acta 1998; 373: 311-319.
19. Roch T. Evaluation of total luminescence data with chemometrical methods: a tool for environmental monitoring. Anal. Chim. Acta 1997; 356: 61-74.
20. Zhu ZL, Xia J, Zhang J, Li TH. Determination of rate constants from two-way kinetic-spectral data by using rank annihilation factor analysis. Anal. Chim. Acta 2002; 454: 21-30.
21. Zhu ZL, Li W, Xia J. Simultaneous determination of reaction order and rate constant by rank annihilation factor analysis from kinetic-spectral data. Anal. Chim. Acta 2004; 527: 203-210.
22. Abdollahi H, Nazari F. Rank annihilation factor analysis for spectrophotometric study of complex formation equilibria. Anal. Chim. Acta 2003; 486: 109-123.
23. Afkhami A, Khalafi L. Spectrophotometric determination of conditional acidity constant as a function of β-cyclodextrin concentration for some organic acids using rank annihilation factor analysis. Anal. Chim. Acta 2006; 569: 267-274.
24. Afkhami A, Khalafi L. Spectrophotometric investigation of the effect of β-cyclodextrin on the intramolecular, cyclization reaction of catecholamines using rank annihilation factor analysis. Anal. Chim. Acta 2007; 599: 241-248.
25. Niazi A, Zolgharnein J, Davoodabadi MR. Spectrophotometric determination of acidity constant of some indicators in various micellar media solutions by rank annihilation factor analysis. Spedrochim. Acta Part A 2008; 70: 343-349.
26. Hemmateenejad B, Abbaspour A, Maghami H, Foroumadi A. Spectrophotometric determination of acidity constants by two-rank annihilation factor analysis. Anal. Chim. Acta 2008; 607: 142-152.
27. Maeder M, Neuhold YM, Olsen A, Puxty G, Dyson R, Zilian A. Rank annihilation correction for the amendment of instrumental inconsistencies. Anal. Chim. Acta 2002; 464: 249-259.
28. Blanchet L, Ruckebusch C, Huvenne JP, de Juan A. Hybrid hard- and soft-modeling applied to difference spectra. Chemom. Intell. Lab. Syst. 2007; 89: 26-35.
29. Zscherp C, Barth A. Reaction-Induced Infrared Difference Spectroscopy for the Study of Protein Reaction Mechanisms. Biochemistry 2001; 40: 1875-1883.
30. Palmer RA, Manning CJ, Chao JL, Noda I, Dowrey AE, Marcott C. Mortality rates measure number of deaths and nothing more. Appl. Spedrosc. 1991; 45: 12-17.
31. Amrhein M, Srinivasan B, Bonvin D, Schumacher MM. On the rank deficiency and rank augmentation of the spectral measurement matrix. Chem. Intell. Lab. Syst. 1996; 33: 17-33.
32. Vandeginste BGM, Massart DL, Buydens LMC, Jong SDE, Lewi PJ, Smeyers-Verbeke J. Handbook of Chemometrics and Qualimetrics. Part B. Elsevier Science: Amsterdam, The Netherlands, 1997; 298.
33. Malinowski ER. Fador Analysis in Chemistry. John Wiley: New York, 2002.
34. Afkhami A, Bahram M. Mean centering of ratio kinetic profiles as a novel spectrophotometric method for the simultaneous kinetic analysis of binary mixtures. Anal. Chim. Acta 2004; 526: 211-218.
35. Abdollahi H. Simultaneous spectrophotometric determination of chromium (VI) and iron (111) with chromogenic mixed reagents by H-point standard addition method and partial least squares regression. Anal. Chim. Acta 2001; 442: 327-336.
36. Mustafa MAC-IT, Humeyra BATI, Bekir BATI. Synthesis of 4-Benzyl-l-Piperazineglyoxime and its Use in the Spectrophotometric Determination of Nickel. Turk. J. Chem. 2000; 24: 81-88.
37. Davis JR. Met al.s Handbook, 9th edn vol. 16 Machining (Prepared under the direction of the ASM international handbook: committee) 1989; 836.
38. Smiled A, Bro R, Geladi P. Multi-way Analysis. John Wiley&Sons, Ltd.: Chichester, UK, 2004.