geometrical properties of the methane derivatives. A more detailed analysis has to be based upon this fact.The polynomial (2 a) appears to describe the T,-contribution in an acceptable approximation, at least for those derivatives having ligands from Table 6, and to predict the correct sign for derivatives whose optical rotations are not too small. It should be profitable on the one hand to continue the test in the form described and on the other to use the results of a quantum-mechanical theory of the phenomenon, which have been completely disregarded here, to correlate the Td-component and contributions due to deviations from the Td-situation with physical or geometrical details. It should ultimately be possible to obtain information from the optical activity about preferred conformations in methane derivatives or about changes in the geometric arrangement as a result of association, solvent effects, etc. We regard the test carried out here as a first successful step on the way to this goal.We thank B. Weimann (MPZ fur Kohlenforschung, Miilheim) for the calculation of optimum values of the parameters and for the program required for this purpose. We thank the Deutsche Forschungsgemeinschaft for financial support of B. R. Received: June 6,1972 [A 922c IE] German version: Angew. Chem. 85,21 (1973) [l] E. Ruch and A. Schiinhofer, Theor. Chim. Acta 10,91 (1968) [2] E. Ruch, W Runge, and G. Kresze, Angew. Chem. 85, 10 (1973); Angew. Chem. internat. Edit. 12,20 (1973).[3] E. Rucfi and A. Schiinhofer, Theor. Chim. Acta 19,225 (1970 Chem. 594,76 (1955).[9] P. Karrer, P. Portmann, and M . Suter, Helv. Chim. Acta 31, 1619Acta 31, (1948.[lo] D. Pitre and E. B. Grabitz, Chimia 23, 399 (1969).[ll] G. Smolinsky and B. I . Feuer, J. Amer. Chem. SOC. 86,3085 (1964).[12] L. G. Thomi, Chem. Ber. 36, 582 (1903).[13] A. Kjaer and S. E. Hansen, Acta Chem. Scand. 11,898 (1957).[14] C . Djerassi, K . Undheim, R . C. Sheppard, W C . Terry, and B. Sjoberg, Acta Chem. Scand. 15,903 (1961).[IS] N . N . Kalinina, A . M . Kritsyn, A. M . Likhosherstov, T K Protopopova, and A. P. Skoldinov, Zh. Obshch. Khim. 33,3471 (1963 The perturbation method of treating chemical reactions is discussed in a simple manner, by invoking the general hypothesis that the initial perturbation determines the course of a reaction. This approach is used to develop a general theory, as an alternative to the transition state theory. Such apparently diverse concepts as the symmetry rules for cyclic processes, and hard and soft acids and bases can be derived by this treatment, which is applied to radical reactions and aliphatic and aromatic substitution.
IntroductionThe quantitative treatment of reactivity remains one of the most difficult and yet intriguing problems of chemistry, of particular importance in the field of reaction mechanisms. Chemical reactivity is usually discussed in terms of the transition state theory"], but this method has severe limitations ['] in that neither the activation energy nor the activation entropy can be calculated to wit...