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The Application of Generalized Rayleigh Equation for Description of Periodic Intramolecular Rearrangements, Including Valence Tautomerism

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In the paper, the possible application of the generalized Rayleigh equation for description of intramolecular periodic transformations, including valence tautomerism occurring in molecular multi-electron systems is discussed. This possibility is… Click to show full abstract

In the paper, the possible application of the generalized Rayleigh equation for description of intramolecular periodic transformations, including valence tautomerism occurring in molecular multi-electron systems is discussed. This possibility is based on the fact that such a transformation is associated with a self-oscillating process, the parameters of which are selected using Prigogine - Lefever model. Such a self-oscillatory process is nothing but the periodic overcoming of the energy barrier separating the states between which the transitions take place. These states can be realized for molecular systems, the behavior of which at the level of the macroworld is connected with the manifestation of nonlinearity of intramolecular processes. Owing to such features of the structure and dynamics of a molecular, nonlinearities become possible that ensures periodicity in the change of a parameter characterizing behavior of the system. A qualitative analysis of the coefficient before the second term of the generalized Rayleigh equation shows that the oscillations can be stable in time with quite real energy barriers inherent in intramolecular motions. It is shown that coordination compounds containing atoms with unfilled 3d-, 4f- and 5f- shells can be used for this purpose.

Keywords: including valence; rayleigh equation; application generalized; equation description; generalized rayleigh

Journal Title: International Journal of Theoretical Physics
Year Published: 2021

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