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Bulletin of State University of Education. Series: Physics and Mathematics

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ABOUT MATERIALS WITH NEGATIVE DIMENSION OF VIBRATIONAL SPECTRA

Abstract

It was found that intermodular vibrational spectra of Van der Waals clusters, calculated by ab initio methods have power-law dependence on the frequency, like crystalline bodies. However, the argument df of their spatial dimension, in contrast, for example, from the three-dimensional wave space df = 3 (the Debye law), take the values df<1, df=0, and may even be negative. Substances with dimension of spectra df <0, previously were not found.

About the Authors

V. . Kuznetsov
D. Mendeleyev University of Chemical Technology of Russia
Russian Federation


K. . Tereshkina
D. Mendeleyev University of Chemical Technology of Russia; Semenov Institute of Chemical Physics of Russian Academy of Sciences
Russian Federation


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ISSN 2949-5083 (Print)
ISSN 2949-5067 (Online)