Analysis of phase diagrams of the two-frequency pendulum as models of rotational vibrations of water molecules
DOI:
https://doi.org/10.15587/2313-8416.2018.121426Keywords:
water molecule, two-frequency oscillations, type of oscillations, inhomogeneous field of forcesAbstract
An analysis of the rotational vibrations of water molecules is made using the model of a two-frequency pendulum in the region of a change in the type of its oscillations. Peculiarities of the phase diagrams, trajectories and velocities of the pendulum during the transition from independent two-frequency oscillations to ellipse-like oscillations analogous to the rotations of water molecules around the bond axes in the inhomogeneous field of intermolecular interaction forces are revealed
References
Bersuker, I. B. (1987). The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry. Moscow: Nauka, 344.
Malafayev, N. T. (2011). O vzaimodeystviyakh i dinamike molekul v chistoy vode [About the interactions and dynamics of molecules in clean water]. Eastern-European Journal of Enterprise Technologies, 4 (8 (52)), 48–58. Available at: http://journals.uran.ua/eejet/article/view/1465/1363
Malafayev, N. T., Pogozhikh, N. I. (2015). Features rotational of vibrations of water molecules. Eastern-European Journal of Enterprise Technologies, 2 (5 (74)), 27–35. doi: 10.15587/1729-4061.2015.40569
Eisenberg, D., Kauzmann, W. (1975). The structure and properties of water. Leningrad: Gidrometeoizdat, 280.
Antonchenko, V. Ya., Davydov, А. S., Iliin, V. V. (1991). Оsnovy fizyky vody. Kyiv: Naukova dumka, 672.
Malenkov, G. G. (2006). Struktura i dinamika zhidkoi vody [Structure and dynamics of liquid water]. Zhurnal strukturnoi himii [Journal structural chemistry], 47, 5–35.
Malenkov, G. G., Naberukhin, Y. I., Voloshin, V. P. (2012). Collective effects in molecular motions in liquids. Russian Journal of Physical Chemistry A, 86 (9), 1378–1384. doi:10.1134/s003602441209004x
Kumar, P., Franzese, G., Buldyrev, S. V., Stanley, H. E. (2006). Molecular dynamics study of orientational cooperativity in water. Physical Review E, 73 (4). doi: 10.1103/physreve.73.041505
Makhlaichuk, P. V., Malomuzh, M. P., Zhyganiuk, I. V. (2013). Dimerization of water molecules. modeling of the attractive part of the interparticle potential in the multipole approximation. Ukrainian Journal of Physics, 58 (3), 278–288. doi: 10.15407/ujpe58.03.0278
Malafayev, N. T. (2015). Power characteristics of dual frequency spherical pendulum oscillations in an inhomogeneous field of forces. ScienceRise, 10 (2 (15)), 68–75. doi: 10.15587/2313-8416.2015.51842
Malafayev, N. T. (2017). Analysis of types of oscillations of a double-frequency pendulum as oscillation model of water molecules. ScienceRise, 4 (33), 57–62. doi: 10.15587/2313-8416.2017.98312
Malafayev, N. T. (2017). The elliptical oscillations of the protons of water molecules. ScienceRise, 1 (2 (30)), 48–54. doi: 10.15587/2313-8416.2017.89712
Downloads
Published
Issue
Section
License
Copyright (c) 2018 Nikolay Malafayev
This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the Creative Commons CC BY copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons CC BY, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.