K r a m e r s 1) has derived a diffusion equation in phase space, describing the motion of a particle subject to an external force and to the shuttling action of the Brownian forces caused by a surrounding medium in temperature equilibrium. In this paper a solution of Kramers' equation is obtained
A riemann geometrical formulation of the principle of least electronic motion in chemical reactions
β Scribed by Akira Igawa; Hideo Fukutome
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 441 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
Riemann geometry is introduced into the nuclear coordinate space for a chemical reaction by defining a metric tensor which represents the change in the electronic wavefunction resulting from a small change of nuclear coordinates. A reaction path with the least electronic motion corresponds to a geodesic line in this Riemamr space. The theory is applied to a simple model of an electrocyclic reaction.
π SIMILAR VOLUMES
H. A. Kr a m e r s 1) has studied the rate of chemical reactions in view of the Brownian forces caused by a surrounding medium in temperature equilibrium. In a previous paper 3) the author gave a solution of Kramers' diffusion equation in phase space by systematic development. In this paper the gene