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Some consequences of bond alternation in long polyenes

Published online by Cambridge University Press:  24 October 2008

L. Salem
L. Salem
Affiliation:
Department of Theoretical Chemistry, University of Cambridge
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Abstract

The effect of a twofold bond alternation on the bond orders and and on the π-electron contribution to the diamagnetic susceptibility of a cyclic even hydrocarbon polyene is investigated. Power series expansions and asymptotic expressions are given for and χπ in terms of the parameter t2 (0 ≤ t2 < 1) which characterizes the amount of bond alternation. It is found that bond alternation reduces both bond order and χπ strongly, the effect being more drastic the greater the bond alternation (t2→0).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 353 - 363
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Brooks, H., J. Chem. Phys. 9 (1941), 463.CrossRefGoogle Scholar
(2)Hall, G. G., Proc. Roy. Soc. A, 229 (1955), 251.Google Scholar
(3)Hoarau, J., Ann. Chim. (13), 1 (1956), 544.Google Scholar
(4)London, F., J. Phys. Radium. 8 (1937), 397.CrossRefGoogle Scholar
(5)Longuet-Higgins, H. C., Proc. and Disc. of the Kerulé Symposium (London, 1958).Google Scholar
(6)Longuet-Higgins, H. C., and Salem, L., Proc. Roy. Soc. A, 251 (1959), 172.Google Scholar
(7)Lykos, P. G., and Parr, R. G., J. Chem. Phys. 28 (1958), 361.CrossRefGoogle Scholar
(8)McWeeny, R., Proc. Phys. Soc. A, 64 (1951), 261.CrossRefGoogle Scholar
(9)McWeeny, R., Mol. Phys. 1 (1958), 311.CrossRefGoogle Scholar
(10)Ooshika, Y. J., Phys. Soc. Japan, 12 (1957), 1246.CrossRefGoogle Scholar
(11)Pople, J. A., Trans. Faraday Soc. 49 (1953), 1375.CrossRefGoogle Scholar
(12)Pople, J. A., Mol. Phys. 1 (1958), 175.Google Scholar
(13)Pullman, B., and Pullman, A., Les Théories electroniques de la chimie organique (Paris, 1952).CrossRefGoogle Scholar
(14)Szegö, G., Orthogonal polynomials (American Math. Soc. Coll. Publ. vol. XXIII) (New York, 1939).Google Scholar
(15)Wheland, G. W., and Matlow, S. L., Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 364.Google Scholar