Calculation and Properties of the Correlation Dimension of Alkanes Based on Molecular Scattering Curves

被引：0

作者：

Grigoreva, L. D. ^{[1
]}

Grigorev, V. Y. ^{[2
]}

机构：

[1] Moscow StateUniv, Dept Fundamental Phys & Chem Engn, Moscow 119991, Russia

[2] Russian Acad Sci, Inst Physiologically Act Cpds, Chernogolovka 142432, Moscow Oblast, Russia

来源：

MOSCOW UNIVERSITY CHEMISTRY BULLETIN | 2021年 / 76卷 / 01期

关键词：

correlation dimension; alkanes; molecular scattering; NONLINEAR DYNAMICS; CHAOS THEORY; CHEMISTRY; TRANSFORMS; SYSTEMS;

D O I：

10.3103/S0027131421010041

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

For a series of n-alkanes C2H6 horizontal ellipsis C40H82, the correlation dimension (D-2) is calculated based on the molecular scattering curves. It is found that D-2 varies in the range 1.10-1.22. By increasing the total number of atoms the correlation dimension increases and then stabilizes. The effect of the replacement of hydrogen atoms by halogen atoms and the change in the degree of hybridization of carbon atoms by D-2 are studied. The correlation dimension is identified with the other fractal characteristics of the molecules.

引用

页码：21 / 26

页数：6

共 40 条

[21] Nonlinear dynamics of solitary and optically injected two-element laser arrays with four different waveguide structures: a numerical study
Li, Nianqiang
Susanto, H.
Cemlyn, B. R.
Henning, I. D.
Adams, M. J.
[J]. OPTICS EXPRESS, 2018, 26 (04): : 4751 - 4765
[22] A New Nine-Dimensional Chaotic Lorenz System with Quaternion Variables: Complicated Dynamics, Electronic Circuit Design, Anti-Anticipating Synchronization, and Chaotic Masking Communication Application
Mahmoud, Emad E.
Higazy, M.
Al-Harthi, Turkiah M.
[J]. MATHEMATICS, 2019, 7 (10)
[23] Insights on correlation dimension from dynamics mapping of three experimental nonlinear laser systems
McMahon, Christopher J.
Toomey, Joshua P.
Kane, Deb M.
[J]. PLOS ONE, 2017, 12 (08):
[24] Muratov EN, 2020, CHEM SOC REV, V49, P3525, DOI 10.1039/d0cs00098a
[25] Nonlinear dynamics and chaos in an optomechanical beam
Navarro-Urrios, Daniel
Capuj, Nestor E.
Colombano, Martin F.
Garcia, P. David
Sledzinska, Marianna
Alzina, Francesc
Griol, Amadeu
Martinez, Alejandro
Sotomayor-Torres, Clivia M.
[J]. NATURE COMMUNICATIONS, 2017, 8
[26] NOVIKOV V P, 1982, Pharmaceutical Chemistry Journal (English Translation of Khimiko-Farmatsevticheskii Zhurnal), V16, P379, DOI 10.1007/BF00762059
[27] CHEMISTRY IN NONINTEGER DIMENSIONS BETWEEN 2 AND 3 .1. FRACTAL THEORY OF HETEROGENEOUS SURFACES
PFEIFER, P
AVNIR, D
[J]. JOURNAL OF CHEMICAL PHYSICS, 1983, 79 (07) : 3558 - 3565
[28] Estimating parameters of nonlinear dynamic systems in pharmacology using chaos synchronization and grid search
Pillai, Nikhil
Schwartz, Sorell L.
Ho, Thang
Dokoumetzidis, Aris
Bies, Robert
Freedman, Immanuel
[J]. JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2019, 46 (02) : 193 - 210
[29] Modelling the formation of porous organic gels - how structural properties depend on growth conditions
Prostredny, Martin
Fletcher, Ashleigh
Mulheran, Paul
[J]. RSC ADVANCES, 2019, 9 (35): : 20065 - 20074
[30] Saha L.M., 2012, APPL MATH SCI, V6, P4197

← 1 2 3 4 →