Reference : Dynamical constraints and adiabatic invariants in chemical reactions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Chemistry
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/185762
Dynamical constraints and adiabatic invariants in chemical reactions
English
[fr] Contraintes dynamiques et invariants adiabatiques dans les réactions chimiques
Lorquet, Jean-Claude mailto [Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences) >]
2007
Journal of Physical Chemistry A
Amer Chemical Soc
111
33
8050-8055
Yes (verified by ORBi)
International
1089-5639
Washington
[en] adiabatic invariance ; ion-molecule reactions ; long-range forces ; reaction-path Hamiltonian ; maximum entropy analysis
[en] For long-range electrostatic potentials and, more generally, when the topography of the potential energy surface is locally simple, the reaction path coordinate is adiabatically separable from the perpendicular degrees of freedom. For the ion-permanent dipole and ion-quadrupole interactions, the Poisson bracket of the adiabatic invariant decreases with the interfragment distance more rapidly than the electrostatic potential. The smaller the translational momentum, the moment of inertia of the neutral fragment, and the dipole or quadrupole moments are, the more reliable the adiabatic approximation is, as expected from the usual argumentation. Closed-form expressions for an effective one-dimensional potential in an adiabatic Hamiltonian are given. Connection with a model where the decoupling is exact is obtained in the limit of an infinitely heavy dipole. The dynamics is also constrained by adiabatic invariance for a harmonic valley about a curved reaction path, as shown by the reaction path Hamiltonian method. The maximum entropy method reveals that, as a result of the invariance properties of the entropy, constraints whose validity has been demonstrated locally only subsist in all parts of phase space. However, their form varies continuously, and they are not necessarily expressed in simple terms as they are in the asymptotic region. Therefore, although the influence of adiabatic invariance has been demonstrated at asymptotically large values of the reaction coordinate only, it persists in more interesting ranges.
http://hdl.handle.net/2268/185762

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