Application of Two-Dimensional Correlation Spectroscopy to Chemometrics: Self-Modeling Curve Resolution Analysis of Spectral Data Sets

This paper demonstrates the use of two-dimensional (2D) correlation spectroscopy in conjunction with alternating least squares (ALS) based self-modeling curve resolution (SMCR) analysis of spectral data sets. This iterative regression technique utilizes the non-negativity constraints for spectral intensity and concentration. ALS-based SMCR analysis assisted with 2D correlation was applied to Fourier transform infrared (FT-IR) spectra of a polystyrene/methyl ethyl ketone/deuterated toluene (PS/MEK/d-toluene) solution mixture during the solvent evaporation process to obtain the pure component spectra and then the time-dependent concentration profiles of these three components during the evaporation process. We focus the use of asynchronous 2D correlation peaks for the identification of pure variables needed for the initial estimates of the ALS process. Choosing the most distinct bands via the positions of asynchronous 2D peaks is a viable starting point for ALS iteration. Once the pure variables are selected, ALS regression can be used to obtain the concentration profiles and pure component spectra. The obtained pure component spectra of MEK, d-toluene, and PS matched well with known spectra. The concentration profiles for components looked reasonable.

[1]  G. Kateman,et al.  Multicomponent self-modelling curve resolution in high-performance liquid chromatography by iterative target transformation analysis , 1985 .

[2]  Edmund R. Malinowski,et al.  Window factor analysis: Theoretical derivation and application to flow injection analysis data , 1992 .

[3]  I. Noda,et al.  Determination of Two-Dimensional Correlation Spectra Using the Hilbert Transform , 2000 .

[4]  E. A. Sylvestre,et al.  Self Modeling Curve Resolution , 1971 .

[5]  Isao Noda,et al.  New Approach to Generalized Two-Dimensional Correlation Spectroscopy. 1: Combination of Principal Component Analysis and Two-Dimensional Correlation Spectroscopy , 2002 .

[6]  Yizeng Liang,et al.  Heuristic evolving latent projections: resolving two-way multicomponent data. 1. Selectivity, latent-projective graph, datascope, local rank, and unique resolution , 1992 .

[7]  Romà Tauler,et al.  Interactions of H+ and Cu(II) Ions with Poly(adenylic acid): Study by Factor Analysis , 1994 .

[8]  Erkki J. Karjalainen,et al.  Component reconstruction in the primary space of spectra and concentrations. Alternating regression and related direct methods , 1991 .

[9]  Edmund R. Malinowski,et al.  Obtaining the key set of typical vectors by factor analysis and subsequent isolation of component spectra , 1982 .

[10]  B. Kowalski,et al.  Multivariate curve resolution applied to spectral data from multiple runs of an industrial process , 1993 .

[11]  Y. Ozaki,et al.  Polycondensation Reaction of Bis(Hydroxyethylterephthalate)—Self Modeling Curve Resolution Analysis of On-Line ATR/FT-IR Spectra , 2001 .

[12]  G. Kateman,et al.  Three-component curve resolution in liquid chromatography with multiwavelength diode array detection , 1985 .

[13]  P. Gemperline,et al.  Computation of the range of feasible solutions in self-modeling curve resolution algorithms. , 1999, Analytical chemistry.

[14]  A novel tool for two-dimensional correlation spectroscopy , 1995 .

[15]  Paul J. Gemperline,et al.  A priori estimates of the elution profiles of the pure components in overlapped liquid chromatography peaks using target factor analysis , 1984, J. Chem. Inf. Comput. Sci..

[16]  A. E. Dowrey,et al.  Generalized Two-Dimensional Correlation Spectroscopy , 2000 .

[17]  J. Futrell,et al.  Separation of mass spectra of mixtures by factor analysis , 1979 .

[18]  Paul J. Gemperline,et al.  Target transformation factor analysis with linear inequality constraints applied to spectroscopic-chromatographic data , 1986 .

[19]  W. Windig,et al.  Interactive self-modeling mixture analysis , 1991 .

[20]  R. Tauler Multivariate curve resolution applied to second order data , 1995 .

[21]  W. Windig Spectral data files for self-modeling curve resolution with examples using the Simplisma approach , 1997 .

[22]  R. Brereton,et al.  Resolution of strongly overlapping two‐way multicomponent data by means of heuristic evolving latent projections , 1993 .

[23]  E. Karjalainen The spectrum reconstruction problem: use of alternating regression for unexpected spectral components in two-dimensional spectroscopies , 1989 .

[24]  Olav M. Kvalheim,et al.  Eigenstructure tracking analysis for revealing noise pattern and local rank in instrumental profiles: application to transmittance and absorbance IR spectroscopy , 1993 .

[25]  L. E. Wangen,et al.  A theoretical foundation for the PLS algorithm , 1987 .

[26]  D. Massart,et al.  Orthogonal projection approach applied to peak purity assessment. , 1996, Analytical chemistry.

[27]  H. R. Keller,et al.  Heuristic evolving latent projections: resolving two-way multicomponent data. 2. Detection and resolution of minor constituents , 1992 .

[28]  R. Manne,et al.  Use of convexity for finding pure variables in two-way data from mixtures , 2000 .

[29]  M. Maeder,et al.  The resolution of overlapping chromatographic peaks by evolving factor analysis , 1986 .