Multiwavelength Spectrophotometric Determination of Acid Dissociation Constants: Part II. First Derivative vs. Target Factor Analysis

AbstractPurpose. Acid dissociation constants (pKa values) denote the extent of ionization of drug molecules at different pH values, which is important in understanding their penetration through biological membranes and their interaction with the receptors. However, many drug molecules are sparingly soluble in water or contain ionization centres with overlapping pKa values, making precise pKa determination difficult using conventional spectrophotometric titration. In this work, we investigate a multiwavelength spectrophotometric titration (WApH) method for the determination of pKa values. Methods. Spectral changes which arise during pH-metric titrations of substances with concentration of about 10−5 M were captured by means of an optical system developed in this study. All experiments were carried out in 0.15 M KC1 solution at 25 ± 0.5°C. Mathematical treatments based on the first derivative spectrophotometry procedure and the target factor analysis method were applied to calculate the pKa values from the multiwavelength absorption titration data. Results. pKa values were determined by the WApH technique for six ionizable substances, namely, benzoic acid, phenol, phthalic acid, nicotinic acid, p-aminosalicylic acid and phenolphthalein. Conclusions. The pKa values measured using the WApH technique are in excellent agreement with those measured pH-metrically. We have demonstrated that the first derivative spectrophometry procedure provides a relatively simple way to visualize the pKa values which are consistent with those determined using the target factor analysis method. However, for ionization systems with insufficient spectral data obtained around the sought pKa values or with closely overlapping pKa values, the target factor analysis method outperforms the first derivative procedure in terms of obtaining the results. Using the target factor analysis method, it has been shown that the two-step ionization of phenolphthalein involves a colorless anion intermediate and a red colored di-anion.

[1]  S. Berger The pH dependence of phenolphthalein , 1981 .

[2]  Foo-Tim Chau,et al.  Applications of the Terminate and Stay Resident Programming Technique for Enhancing Chemical Measurements , 1995, Comput. Chem..

[3]  K. Y. Tam,et al.  Simultaneous multiwavelength study of the reaction of phenolphthalein with sodium hydroxide , 1992, The Journal of automatic chemistry.

[4]  Alex Avdeef,et al.  pH‐Metric log P. Part 1. Difference Plots for Determining Ion‐Pair Octanol‐Water Partition Coefficients of Multiprotic Substances , 1992 .

[5]  T. Edition,et al.  The determination of ionization constants , 1971 .

[6]  P. Gans,et al.  Investigation of equilibria in solution. Determination of equilibrium constants with the HYPERQUAD suite of programs. , 1996, Talanta.

[7]  K. Takács-Novák,et al.  Lipophilicity of amphoteric molecules expressed by the true partition coefficient , 1995 .

[8]  K. Takács-Novák,et al.  Theoretical and Experimental Studies of the Zwitterion ⇌ Neutral Form Equilibrium of Ampholytes in Pure Solvents and Mixtures , 1997 .

[9]  William H. Press,et al.  Numerical recipes , 1990 .

[10]  M. Maeda,et al.  Spectrophotometric Analysis of the Relationship between Dissociation and Coloration, and of the Structural Formulas of Phenolphthalein in Aqueous Solution , 1996 .

[11]  Edmund R. Malinowski,et al.  Factor Analysis in Chemistry , 1980 .

[12]  K. Tam,et al.  Multiwavelength spectrophotometric determination of acid dissociation constants of ionizable drugs. , 1998, Journal of pharmaceutical and biomedical analysis.

[13]  H. Gampp,et al.  Calculation of equilibrium constants from multiwavelength spectroscopic data--II: SPECFIT: two user-friendly programs in basic and standard FORTRAN 77. , 1985, Talanta.

[14]  A. Avdeef,et al.  Accurate measurements of the concentration of hydrogen ions with a glass electrode: calibrations using the Prideaux and other universal buffer solutions and a computer-controlled automatic titrator , 1978 .

[15]  MULTIVARIATE STUDY OF KINETIC DATA FOR A TWO-STEP CONSECUTIVE REACTION USING TARGET FACTOR ANALYSIS , 1994 .

[16]  Benoit Lagarde,et al.  Factor analysis using column cross-validation , 1989, Comput. Chem..

[17]  A. Avdeef,et al.  pH-metric log P. II: Refinement of partition coefficients and ionization constants of multiprotic substances. , 1993, Journal of pharmaceutical sciences.

[18]  J. Stoer,et al.  Introduction to Numerical Analysis , 2002 .

[19]  M. Kajtár,et al.  Complex formation of phenolphthalein and some related compounds with β-cyclodextrin , 1988 .

[20]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[21]  H. Rossotti,et al.  The determination of dissociation constants of dibasic acids , 1955 .

[22]  Edmund R. Malinowski,et al.  Theory of the distribution of error eigenvalues resulting from principal component analysis with applications to spectroscopic data , 1987 .

[23]  Edmund R. Malinowski,et al.  Target Factor Analysis of the Ultraviolet Spectra of Unresolved Liquid Chromatographic Fractions , 1983 .

[24]  Edmund R. Malinowski,et al.  Determination of the number of factors and the experimental error in a data matrix , 1977 .

[25]  H. Gampp,et al.  Calculation of equilibrium constants from multiwavelength spectroscopic data-I Mathematical considerations. , 1985, Talanta.

[26]  H. Woodruff,et al.  Factor analysis of mass spectra from partially resolved chromatographic peaks using simulated data , 1981 .

[27]  A. Savitzky,et al.  Smoothing and Differentiation of Data by Simplified Least Squares Procedures. , 1964 .

[28]  Paul J. Gemperline,et al.  Mixture analysis using factor analysis I: Calibration and quantitation , 1989 .