Molecular Shape as a Critical Factor in Structure-Property-Activity Studies

Abstract The dominant role of molecular mass in determining many physical properties of substances often masks significant variations of these same properties with molecular shape. Here attention is drawn to the important influence of molecular shape on molecular properties. The interdependences of the heats of vaporization, boiling points, molar volumes, molar refractions, critical temperatures, critical pressures and surface tensions of alkanes in general, and of the octanes in particular, are used to illustrate the different roles of molecular mass and shape in influencing bulk properties. The advantages of using a hierarchical separation of influences by means of orthogonal descriptors in structure-property studies are emphasized. The high interrelatedness of many physical properties in alkanes does not extend to isomeric variations, but rather reflects the dominant influence of mass on these properties. When the role of mass is removed, the influence of other structural factors is more readily discerned.

[1]  P. Löwdin On Linear Algebra, the Least Square Method, and the Search for Linear Relations by Regression Analysis in Quantum Chemistry and Other Sciences , 1992 .

[2]  Milan Randic,et al.  Resolution of ambiguities in structure-property studies by use of orthogonal descriptors , 1991, J. Chem. Inf. Comput. Sci..

[3]  M. Randic Characterization of molecular branching , 1975 .

[4]  R. Dreisbach Physical Properties of Chemical Compounds , 1955 .

[5]  H. Hotelling Analysis of a complex of statistical variables into principal components. , 1933 .

[6]  L B Kier,et al.  Molecular connectivity VII: specific treatment of heteroatoms. , 1976, Journal of pharmaceutical sciences.

[7]  J. Topliss,et al.  Chance factors in studies of quantitative structure-activity relationships. , 1979, Journal of medicinal chemistry.

[8]  Milan Randic Representation of molecular graphs by basic graphs , 1992, J. Chem. Inf. Comput. Sci..

[9]  Charles L. Wilkins,et al.  Graph theoretical ordering of structures as a basis for systematic searches for regularities in molecular data , 1979 .

[10]  P. Seybold,et al.  Molecular modeling of the physical properties of the alkanes , 1988 .

[11]  H. Hosoya Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated Hydrocarbons , 1971 .

[12]  Richard D. Cramer,et al.  BC(DEF) parameters. 1. The intrinsic dimensionality of intermolecular interactions in the liquid state , 1980 .

[13]  H. Wiener Structural determination of paraffin boiling points. , 1947, Journal of the American Chemical Society.

[14]  L. Hall,et al.  Molecular connectivity in chemistry and drug research , 1976 .

[15]  L B Kier,et al.  Molecular connectivity V: connectivity series concept applied to density. , 1976, Journal of pharmaceutical sciences.

[16]  Douglas J. Klein,et al.  Chemical graph‐theoretic cluster expansions , 1986 .

[17]  M Randić Graph theoretical approach to structure-activity studies: search for optimal antitumor compounds. , 1985, Progress in clinical and biological research.

[18]  Milan Randic,et al.  Orthogonal molecular descriptors , 1991 .

[19]  R. Courant,et al.  Methoden der Mathematischen Physik: Erster Band , 1931 .