Molecular mechanics and molecular shape. V. on the computation of the bare surface area of molecules

This article examines the numerical estimation of molecular surface areas within the model of overlapping atomic spheres. One has the choice of either basing the estimate on all elements that contribute to the surface, or of ignoring systematically some elements in the interatomic clefts. It is argued that the second choice, even though more approximate, implicitly improves on the model and is to be preferred. Since surface areas are not measurable, the demonstration is unavoidably roundabout, relying mostly on correlation analysis. Among the regressors occur two compounded parameters. One, ratio of the surface area of the equivalent sphere to the surface area, is interpreted as a measure of molecular globularity. It reflects the molecular axis‐ratio and surface convolution. The other, ratio of the surface area to the volume, is interpreted as a measure of the global congestion of a chemical residue. Together with a measure of the local congestion at the point of attachment, it affects the steric hindrance that a residue offers. The relation between the surface area and the number of valence electrons is also discussed.

[1]  A. Y. Meyer Molecular mechanics and molecular shape: Part II. Beyond the van der Waals descriptors of shape , 1985 .

[2]  F. M. Richards,et al.  Calculation of molecular volumes and areas for structures of known geometry. , 1985, Methods in enzymology.

[3]  A. Y. Meyer Molecular mechanics of organic halides: Part VII. Iodides , 1983 .

[4]  Mario Marsili,et al.  Generation and comparison of space-filling molecular models , 1983, Comput. Chem..

[5]  A. Gavezzotti,et al.  The calculation of molecular volumes and the use of volume analysis in the investigation of structured media and of solid-state organic reactivity , 1983 .

[6]  A. Gavezzotti,et al.  Molecular free surface: a novel method of calculation and its uses in conformational studies and in organic crystal chemistry , 1985 .

[7]  A. Y. Meyer The size of molecules , 1987 .

[8]  M. L. Connolly Analytical molecular surface calculation , 1983 .

[9]  A. Y. Meyer Molecular mechanics and molecular shape. III. Surface area and cross‐sectional areas of organic molecules , 1986, Journal of computational chemistry.

[10]  Robert F. Hout,et al.  Representation of electron densities. 1. Sphere fits to total electron density surfaces , 1984 .

[11]  A. Leo,et al.  Substituent constants for correlation analysis in chemistry and biology , 1979 .

[12]  L. Schäfer The ab initio gradient revolution in structural chemistry: The importance of local molecular geometries and the efficacy of joint quantum mechanical and experimental procedures , 1983 .