Quantitative Analysis of Mixtures of Monoprotic Acids Applying Modified Model-Based Rank Annihilation Factor Analysis on Variation Matrices of Spectrophotometric Acid-Base Titrations

الموضوعات :

Ebrahim Ghorbani-Kalhor ¹ (Department of Chemistry, Tabriz Branch, Islamic Azad University, Tabriz, Iran)
Jafar Abolhasani ² (Department of Chemistry, Tabriz Branch, Islamic Azad University, Tabriz, Iran)
Mahsa Veladi ³ (Department of Chemistry, Tabriz Branch, Islamic Azad University, Tabriz, Iran)

تاريخ الإرسال : 19 الأربعاء , جمادى الثانية, 1436 تاريخ التأكيد : 20 الإثنين , صفر, 1440 تاريخ الإصدار : 14 الأربعاء , رمضان, 1436

الکلمات المفتاحية:

ملخص المقالة :

In the current work, a new version of rank annihilation factor analysis was developedto circumvent the rank deficiency problem in multivariate data measurements.Simultaneous determination of dissociation constant and concentration of monoprotic acids was performed by applying model-based rank annihilation factor analysis on variation matrices of spectrophotometric acid-base titrations data. Variation matrices can be obtained by subtracting first row of data matrix from all rows of the main data matrix. This method uses variation matrices instead of multivariate spectrophotometric acid-base titrations matrices to circumvent the rank deficiency problem in the rank quantitation step. The applicability of this approach was evaluated by simulated data at first stage, then the binary mixtures of ascorbic and sorbic acids as model compounds were investigated by the proposed method. At the end, the proposed method was successfully applied for resolving the ascorbic and sorbic acid in an orange juice real sample. Therefore, unique results were achieved by applying rank annihilation factor analysis on variation matrix and using hard soft model combination advantage without any problem and difficulty in rank determination.   

المصادر:

1. Malinowski E.R., 2002. Factor Analysis in Chemistry. Wiley. New York.
2. Haaland D.M., Thomas E.V., 1988. Partial least-squares methods for spectral analyses. 1. Relation to other quantitative calibration methods and the extraction of qualitative information. Anal Chem. 60 (11), 1193-1202.
3. Thomas E.V., 1994. A primer on multivariate calibration. Anal Chem. 66 (15), 795A-804A.
4. Abdollahi H., Sajjadi S. M., 2009. Evaluation of variation matrix arrays by parallel factor analysis. J Chemom. 23 (3), 139-148.
5. Pasamontes A., Callao M.P., 2004. Determination of amoxicillin in pharmaceuticals using sequential injection analysis and multivariate curve resolution. Anal Chim Acta. 515 (1), 159-165.
6. Ghorbani-kalhor E., Sajjadi S.M., Naseri A., Abolhasani J., Vardini M.T., 2014. Modified model-based rank annihilation factor analysis to quantitative analysis of pH-modulated mixture samples.Curr Anal Chem.10 (4), 552-564.
7. Abdollahi H., Golshan A., 2011. Rank annihilation factor analysis method for spectrophotometric study of second-order reaction kinetics. Anal Chim Acta. 693 (1ââ‚‌“2), 26-34.
8. Kompany-Zareh M., Vasighi M., 2010. Analysis of solvents mixtures employing rank annihilation factor analysis on near infrared spectral data from sequential addition of analyte. Fuel Process Technol. 91 (1), 62-67.
9. Smilde A.K., Tauler R., Saurina J., Bro R., 1999. Calibration methods for complex second-order data. Anal Chim Acta. 398(2ââ‚‌“3), 237-251.
10. Abdollahi H., Safavi A., Zeinali S., 2008. Model-based rank annihilation factor analysis for quantitative analysis of mixtures of monoprotic acids using multivariate spectrophotometric acid-base titrations. Chemom Intell Lab Syst. 94 (2), 112-117.
11. Izquierdo-Ridorsa A., Saurina J., Hernández-Cassou S., Tauler R., 1997. Second-order multivariate curve resolution applied to rank-deficient data obtained from acid-base spectrophotometric titrations of mixtures of nucleic bases. Chemom Intell Lab Syst. 38 (2), 183-196.
12. Khalafi L., Rohani M., Afkhami A., 2008. Acidity constants of some organic acids in the presence of β-cyclodextrin in binary ethanol−water mixtures by rank annihilation factor analysis. J Chem Eng Data. 53(10), 2389-2392.
13. De Juan A., Tauler R., 2006. Multivariate curve resolution (MCR) from 2000: progress in concepts and applications. Crit Rev Anal Chem. 36 (3-4), 163-176.
14. Hemmateenejad B., Abbaspour A., Maghami H., Foroumadi A., 2008. Spectrophotometric determination of acidity constants by two-rank annihilation factor analysis. Anal Chim Acta. 607(2), 142-152.
15. Afkhami A., Khalafi L., 2006. 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. 569 (1ââ‚‌“2), 267-274.
16. Niazi A., Zolgharnein J., Davoodabadi M. R., 2008. Spectrophotometric determination of acidity constant of some indicators in various micellar media solutions by rank annihilation factor analysis. Spectrochim Acta. Part A. 70 (2), 343-349.
17. Jiang J.H., Ozaki Y., Kleimann M., Siesler H.W., 2004. Resolution of two-way data from on-line Fourier-transform Raman spectroscopic monitoring of the anionic dispersion polymerization of styrene and 1,3-butadiene by parallel vector analysis (PVA) and window factor analysis (WFA). Chemom Intell Lab Syst. 70 (1), 83-92.
18. Xu C.J., Gourvénec S., Liang Y.Z., Massart D.L., 2006. Using orthogonal projection approach (OPA) for rank-deficient reaction processes. Chemom Intell Lab Syst. 81 (1), 3-12.
19. Jiang J.H., Sasic S., Yu R.Q., Ozaki Y., 2003. Resolution of two-way data from spectroscopic monitoring of reaction or process systems by parallel vector analysis (PVA) and window factor analysis (WFA): inspection of the effect of mass balance, methods and simulations. J Chemom. 17 (3), 186-197.
20. Garcia I., Ortiz M.C., Sarabia L., Vilches C., Gredilla E., 2003. Advances in methodology for the validation of methods according to the International Organization for Standardization: Application to the determination of benzoic and sorbic acids in soft drinks by high-performance liquid chromatography. J Chromatogr A. 992 (1ââ‚‌“2), 11-27.
21. Renner T., Baer-Koetzle M., Scherer G., 1999. Determination of sorbic acid in urine by gas chromatographyââ‚‌“mass spectrometry. J Chromatogr A. 847 (1ââ‚‌“2), 127-133.
22. Mota F.J.M., Ferreira I.M.P.L.V.O., Cunha S.C., Beatriz M., Oliveira P.P., 2003. Optimisation of extraction procedures for analysis of benzoic and sorbic acids in foodstuffs. Food Chem. 82(3), 469-473.
23. Naseri A., Ghorbani-Kalhor E., Vallipour J., Jafari S., Shahverdizadeh G.H., Asadpour-Zeynali K., 2009. Simultaneous spectrophotometric determination of benzoic acid, sorbic acid, and ascorbic acid using a net analyte signal-based method. J AOAC Int. 92(6), 1807-1814.
24. Du J., Cullen J.J., Buettner G.R., 2012. Ascorbic acid: Chemistry, biology and the treatment of cancer. Biochim Biophys Acta. 1826(2), 443-457.
25. Dean J.A. 1999. Lange's Handbook of Chemistry. McGraw-Hill. New York.
26. Abdollahi H., Nazari F., 2003. Rank annihilation factor analysis for spectrophotometric study of complex formation equilibria. Anal Chim Acta. 486(1), 109-123.