Physics of the Solid State

, Volume 56, Issue 6, pp 1239–1244 | Cite as

On the vineyard formula for the pre-exponential factor in the Arrhenius law

  • M. M. Maslov
  • L. A. Openov
  • A. I. Podlivaev
Low-Dimensional Systems


By using the example of several typical thermally activated processes in atomic clusters, organic molecules, and nanostructures, it has been shown that calculations of the corresponding pre-exponential factors in the Arrhenius law according to the Vineyard formula are in good agreement with the molecular dynamics simulation data for temperature dependences of characteristic times of these processes. This “static” approach (together with the determination of the activation energy through the examination of the potential energy hypersurface) provides information on kinetic characteristics of the system without resorting to numerical simulation of the time evolution, which requires large computer resources.


Fullerene Saddle Point Cubane Frequency Factor Molecular Dynamic Method 
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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  • M. M. Maslov
    • 1
  • L. A. Openov
    • 1
  • A. I. Podlivaev
    • 1
  1. 1.National Research Nuclear University “MEPhI,”MoscowRussia

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