Phenyl group migration within protonated 1,2-diphenyl hydrazines has been s
tudied theoretically using the semi-empirical AMI method. This reaction pro
ceeds through a 3-membered cyclic transition state and requires high activa
tion energy. In the reactant, there was no resonance stabilization for the
moving Z-ring, however, resonance stabilization between two nitrogen atoms
and the Z-ring was achieved at the transition state. The Hammett rho z(+) v
alues are large due to the direct involvement of the Z-ring in the reaction
, and the development of a negative charge on the reaction center gives the
m a positive value. In the case of the non-moving ring, rho(Y) values are s
mall and negative owing to the smaller positive charge increase in the reac
tion center. The cross-interaction constant, rho(YZ), was Obtained from the
activation enthalpies, using the multiple linear regression method, and th
e interaction between two substituents, Y and Z, is examined.