In this paper, the principles of the quantum statistical mechanical theory of relaxation are applied to elucidate the general properties of intramolecular rearrangement processes in carbonium ions. An interplay of well-known chemical concepts is brought out in an analysis of the dynamical behavior of the Wagner-Meerwein shift in the bicyclic 2-norbornyl cations. The alternate roles of the activated rate process and quantum mechanical tunneling are explored in terms of theoretical limiting cases and experimental conditions. The relaxation behavior of the entire homologous series of norbornyl cations can be understood without invoking the role of the ground-state cr-bridged nonclassical ions. The low barrier to interconversion of classical structures is analyzed in terms of the electron deficiency at C-2. The theoretical estimate sec-' for the rate constant of the Wagner-Meerwein shift in the 2-norbornyl cation is in agreement with earlier empirical estimates. The treatment given here appears to be generally applicable to all carbonium ions from saturated structures. The concept of the transition state is critically reexamined in terms of the present formulation. It is emphasized that the widespread usage of the transition state theory may have contributed to considerable confusion in the literature.Recently, we developed a general theory for molecular This theory is based6 on the fundamental postulates of quantum statistical mechanics and the concepts underlying Onsager's reciprocity theorem7%* for irreversible thermodynamics. The relaxation rate constants are calculated within the framework of the adiabatic approximation. 14x9-11 In the relaxation process, the zero-order Born-Oppenheimer states are coupled by the nondiagonal matrix elements of the nonadiabatic nuclear kinetic energy opera tor. 1-69) O We have applied the formal theory to a variety of relaxation p h e n~m e n a .~-~, l~-~~ Numerical fits of theory and experiment have been obtained for the radiationless relaxation rates of electronically excited rare-earth ions in crystal^^.^,^ and for the orientational relaxation rates of ion-defect pairs in CaF2.4 The theoretical analysis of the relaxation properties of chlorophyll molecules has led to a promising modfor the primary light reaction in plant photosynthesis. In this paper, the basic principles of the relaxation theory are applied to a description of the dynamical behavior of equilibrating molecular configurations.All flexible molecules undergo intramolecular transitions between equilibrium configurations. The principles invoked in this work therefore should find broad areas of application. Examples include the ammonia molecule and the diphenyl ethers. Other familiar phenomena are exemplified by group rotations in nonrigid molecules, cis-trans isomerization of substituted alkenes, and intramolecular rearrangement reactions.In the gaseous state, intramolecular rotations or configuration rearrangements are governed by the potential surfaces prescribed by the normal mode coordinates of the molecule. I...