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Molecular softness as the average of atomic softnesses: Companion principle to the geometric mean principle for electronegativity equalization

Publication ,  Journal Article
Yang, W; Lee, C; Ghosh, SK
Published in: Journal of Physical Chemistry
January 1, 1985

It is demonstrated that, for a molecule consisting of M atoms, the relation, 1/(I - A) = (1/M)ΣiM[1/(Ii - Ai)], is valid to a reasonable approximation, where I and A are the ionization potential and electron affinity of the molecule and Ii, Ai denote the same quantities for the ith atom. This relation is the arithmetic average principle for molecular softness where the softness, S, is defined [W. Yang and R. G. Parr, Proc. Natl. Acad. Sci. U.S.A., 82, 6723 (1985)] as the inverse of the hardness (η) i.e. S = 1/η = 1/(I - A). The calculated values of I - A for 33 molecules show agreement with experimental results. The conditions for the validity of this principle are shown to be analogous to those for the geometric mean principle for electronegativity equalization in molecules. © 1985 American Chemical Society.

Duke Scholars

Published In

Journal of Physical Chemistry

DOI

ISSN

0022-3654

Publication Date

January 1, 1985

Volume

89

Issue

25

Start / End Page

5412 / 5414
 

Citation

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Yang, W., Lee, C., & Ghosh, S. K. (1985). Molecular softness as the average of atomic softnesses: Companion principle to the geometric mean principle for electronegativity equalization. Journal of Physical Chemistry, 89(25), 5412–5414. https://doi.org/10.1021/j100271a019
Yang, W., C. Lee, and S. K. Ghosh. “Molecular softness as the average of atomic softnesses: Companion principle to the geometric mean principle for electronegativity equalization.” Journal of Physical Chemistry 89, no. 25 (January 1, 1985): 5412–14. https://doi.org/10.1021/j100271a019.
Yang, W., et al. “Molecular softness as the average of atomic softnesses: Companion principle to the geometric mean principle for electronegativity equalization.” Journal of Physical Chemistry, vol. 89, no. 25, Jan. 1985, pp. 5412–14. Scopus, doi:10.1021/j100271a019.

Published In

Journal of Physical Chemistry

DOI

ISSN

0022-3654

Publication Date

January 1, 1985

Volume

89

Issue

25

Start / End Page

5412 / 5414