Cross Interaction Between Identical Groups

Cross Interaction Between Identical Groups

Various useful relations involving Hammett's and $Br{\phi}nsted's$ coefficients are derived for cross interactions between identical groups: ${\rho}_{ii}={\rho}^N+{\rho}^L$, ${\rho}^L-{\rho}^N=1$, ${\beta}_{ii}={\beta}_N+{\beta}_L$ and ${\beta}_N-{\beta}_L=1$. The use of these relations enable us to correctly interprete the transition state structure. Another advantage of the use of these relations is to use ${\rho}/{\rho}_e$ for the determination of corresponding ${\beta}$ values instead of plotting log k vs $pK_{lg}$, once ${\rho}_e$ values for standardizing equilibria are obtained.