Abstract
We describe a novel graphical method which, in conjunction with the previously proposed graphical determination of monomer shift, dimer shift, and dimerization constant for self-association, allows us to determine the complex shift and equilibrium constant for a hetero-association, A + B ⇌ AB, accompanying self-associations, A + A ⇌ A2, and B + B ⇌ B2. The merit of the new method includes the removal of the restrictions imposed on the conventional Benesi-Hildebrand (B-H) plot: (1) that the concentration of one component must be much less than that of the other; (2) that there be no accompanying self-association. The simultaneous equilibrium of the self-association of 2-pyrrolidone (A) and that of 4-methyl-α-pyrrolidone (B) and the hetero-association between A and B in acetonitrile-d3 at 25‡C is studied. The inappropriateness of the B-H plot in dealing with this case is also pointed out.
Similar content being viewed by others
References
J. Rose,Molecular Complexes, (Pergamon Press, Oxford, 1967).
R. Foster, ed.Molecular Association, Vols. 1 and 2, (Academic Press, London, 1975).
P. Hobza and R. Zahradnik,Weak Intermolecular Interactions in Chemistry and Biology, Studies in Physical and Theoretical Chemistry 3, (Elsevier, Amsterdam, 1978).
P. Hobza and R. Zahradnik,Intermolecular Complexes, Studies in Physical and Theoretical Chemistry 52, (Elsevier, Amsterdam, 1988).
E. Wyn-Jones and J. Gormally, eds.Aggregation Processes in Solutions, Studies in Physical and Theoretical Chemistry 26, (Elsevier, Amsterdam, 1983).
J. C. Dore and J. Teixeira, eds.Hydrogen-Bonded Liquids, (Kluwer Academic Publishers, Dordrecht, 1989).
J. S. Davies, Jr. and K. K. Deb,Advn. Magn. Reson. 4, 201 (1970).
A. H. Benesi and J. H. Hildebrand,J. Amer. Chem. Soc. 70, 2832 (1948);71, 2703 (1949).
G. Scatchard,Ann. N. Y. Acad. Sci. 51, 660 (1949).
R. L. Scott,Rec. Trav. Chim. 75, 787 (1956).
A. Streitweisser, C. H. Heathcock, and E. M. Kosower,Introduction to Organic Chemistry, 4th edn., (Macmillan, New York, 1992) Chap 23.
J. S. Chen and J. C. Shiao,J. Chem. Soc. Faraday Trans. 90, 429 (1994).
J. S. Chen and R. B. Shirts,J. Phys. Chem. 89, 1643 (1985).
J. S. Chen and F. Rosenberger,Tetrahedron Utters,31, 3975 (1990).
J. S. Chen,J. Chem. Soc. Faraday Trans. 90, 717 (1994).
H. S. Gutowsky and A. Saika,J. Chem. Phys. 21, 1688 (1953).
C. C. MacDuffee,Theory of Equations, (Wiley, New York, 1954).
S. Wolfram,Mathematica, A System for Doing Mathematics by Computer, 2nd edn., (Addison-Wesley, Redwood City, CA, 1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lin, CC., Fang, CY., Kao, DY. et al. Graphical method for the determination of the complex NMR shift and equilibrium constant for a hetero-association accompanying self-associations. J Solution Chem 26, 817–832 (1997). https://doi.org/10.1007/BF02767785
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02767785