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

[1] ALBANO AM, 1987, CHAOS BIOL SYSTEMS
[2] Small-Angle Scattering from Weakly Correlated Nanoscale Mass Fractal Aggregates
Anitas, Eugen Mircea
[J]. NANOMATERIALS, 2019, 9 (04):
[3] [Anonymous], 2018, J HEALTHC ENG, DOI DOI 10.1155/2018/6920420
[4] Introducing nonlinear dynamics to chemical and biochemical engineering graduate students using MATHEMATICA©
Binous, Housam
Bellagi, Ahmed
[J]. COMPUTER APPLICATIONS IN ENGINEERING EDUCATION, 2019, 27 (01) : 217 - 235
[5] Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction
Boeing, Geoff
[J]. SYSTEMS, 2016, 4 (04):
[6] Methodological Framework for Estimating the Correlation Dimension in HRV Signals
Bolea, Juan
Laguna, Pablo
Maria Remartinez, Jose
Rovira, Eva
Navarro, Augusto
Bailon, Raquel
[J]. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2014, 2014
[7] Practical method for determining the minimum embedding dimension of a scalar time series
Cao, LY
[J]. PHYSICA D, 1997, 110 (1-2): : 43 - 50
[8] Fractal dimensions derived from spatial allometric scaling of urban form
Chen, Yanguang
Wang, Yihan
Li, Xijing
[J]. CHAOS SOLITONS & FRACTALS, 2019, 126 : 122 - 134
[9] Chaos theory in chemistry and chemometrics: a review
Cramer, Jeffrey A.
Booksh, Karl S.
[J]. JOURNAL OF CHEMOMETRICS, 2006, 20 (11-12) : 447 - 454
[10] Forsythe G. E., 1977, Computer Methods for MathematicalComputations

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