Topology correlations

The stereochemical consequences of these rearrangement mechanisms have been worked out in detail for the M(A—B)312 and M(A—BMC—C)30 cases and are summarized in topological correlation diagrams.31 For the latter case three isomers are possible each of which is enantiomeric, 6. Several of the possible twist mechanisms... 

Fig. 4. Topological correlation diagram for the interconversion of M(A-B)2(C-C) isomers by a twist mechanism. Twist motions about the P-C3 and one of the i-C3 axes of A and AcC are illustrated. From Ref.30)...

The synthesis of 4-azaazulenones is treated in a special section because of the similarities of the synthehtic methods as well as the properties of the topologically correlated 7t-systems. Benzo derivatives with additional substituents that do not fit the relations were covered in preceeding sections. 

Basak, S.C., Gieschen, D.P., Harriss, D.K. and Magnuson, V.R. (1983). Physico-Chemical and Topological Correlates of the Enzymatic Acetyltransfer Reaction. J.Pharm.ScL, 72,934-937. 

Doucet, J.P., Panaye, A. and Dubois, J.-E. (1983). Topological Correlations of Carbon-13 Chemical Shifts by Perturbation on a Focus DARC-PULFO Method. Attenuation and Inversion of a-Methyl Substituent Effects. J.Org.Chem., 48, 3174-3182. 

A. T. Balaban, Topological correlation and cancer. Chapter 4, in Modeling of Cancer Genesis and Prevention, N. Volculetz, A. T. Balaban, I. Niculescu-Duvaz, andZ. Simon (Eds.), CRC Press, Boca Raton, FL, 1991. 

The polyelectrolyte chains exist in the effective medium created by the counterions and ions from the simple salt. The charges on the polymer chains interact among themselves mediated by the neutralizing plasma that makes up the system except the polymer molecules. We further assume that the mediation by the background is adequately described by the Debye-Hiickel theory. This assumption allows us to deduce the key features, without resorting to heavy numerical work that will be needed to solve the very complex Poisson-Boltzmann equations for such topologically correlated objects as flexible polymers. 

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