Über die Interferenz von Eigenschwingungen als Ursache von Energieschwankungen und chemischer Umsetzungen

Polanyi, M.; Wigner, E.

doi:10.1515/zpch-1928-13930

Cited by 201 publications

(23 citation statements)

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“…In this respect the model is closer to the mentioned above [8][9][10][11] and to similar ones known for a long time in solid state physics [17,22].…”

Section: Introductionsupporting

confidence: 78%

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Interrelation between shear modulus and the molecular parameters of viscous flow for glass forming liquids

Nemilov

2006

Journal of Non-Crystalline Solids

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“…In this respect the model is closer to the mentioned above [8][9][10][11] and to similar ones known for a long time in solid state physics [17,22].…”

Section: Introductionsupporting

confidence: 78%

“…The theoretical derivations of this equation (known from 1920s as Dushman's empirical equation) were made by Hinshelwood [16], Polanyi and Wigner [17], MoelwynHughes [18] and others. Hanggi et al [19] confirmed its physical importance in modern science.…”

Section: Introductionmentioning

confidence: 99%

Interrelation between shear modulus and the molecular parameters of viscous flow for glass forming liquids

Nemilov

2006

Journal of Non-Crystalline Solids

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“…33. A start on this problem was made by Polanyi and Wigner (90) in 1928, but we are still far from a complete understanding of this particular facet. In this year of his death, it seems entirely appropriate to us to dedicate this paper to the memory of Michael Polanyi (1892Polanyi ( -1977 who, among his many feats of intellect, was the father of modern molecular dynamics. '…”

Section: Future Developmentsmentioning

confidence: 99%

A reformulation of the theory of unimolecular reactions

Yau¹,

Pritchard²

1978

Can. J. Chem.

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PRITCHARD. Can. J. Chem. 56, 1389(19783 The theory of unimolecular reactions is reformulated in a way which makes no reference t o the concepts of a transition state, a reaction coordinate, or of an activated complex: the present theory is based, instead, on a simple master-equation approach using the estimated positions and lifetimes of the rotation-vibration energy levels of the molecule. The fundamental basis of this reformulation is that the unimolecular rate is derived from the perturbation of the normal modes of internal relaxation of the reactant molecule by the microscopic reaction processes. The thermal decompositions of cyclobutane, cyclopropane, ethyl isocyanide, ethyl chloride, and methyl isocyanide are examined in detail, and it is shown that not only is the present theory much easier to use than is conventional RRKM theory, but also that it gives better results.An Appendix provides a set of algorithms required for these calculations. Un appendice fournit l'ensemble d'algorithmes requis pour ces calculs.[Traduit par le journal]

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“…Let us follow an idea by Vollmer [1] and try to find a more physical solution by calculating the the flux of particles having a velocity distribution at the surface in the bound state which may escape from the bound state due to energy fluctuations [16].…”

Section: Introductionmentioning

confidence: 99%

“…the density of normal modes is reduced for smaller g systems). This has some effect on the ejection behavior, and ag should rather be related to a term like [16] where f=fr+fv includes active rotational and vibrational modes of the molecules in the bound state, and the size dependent potential energy is shaped for spherical clusters. The kinetic part of the energy of an incoming/outgoing molecule is given by…”

Section: Introductionmentioning

confidence: 99%