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Journal articles on the topic 'Radius of gyration'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Tanner, John J. "Empirical power laws for the radii of gyration of protein oligomers." Acta Crystallographica Section D Structural Biology 72, no. 10 (2016): 1119–29. http://dx.doi.org/10.1107/s2059798316013218.

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The radius of gyration is a fundamental structural parameter that is particularly useful for describing polymers. It has been known since Flory's seminal work in the mid-20th century that polymers show a power-law dependence, where the radius of gyration is proportional to the number of residues raised to a power. The power-law exponent has been measured experimentally for denatured proteins and derived empirically for folded monomeric proteins using crystal structures. Here, the biological assemblies in the Protein Data Bank are surveyed to derive the power-law parameters for protein oligomer

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2

McMullen, William E., Karl F. Freed, and Binny J. Cherayil. "Apparent radius of gyration of diblock copolymers." Macromolecules 22, no. 4 (1989): 1853–62. http://dx.doi.org/10.1021/ma00194a057.

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3

Zhou, Zhiping, and Deyue Yan. "Mean-square radius of gyration of polysiloxanes." Macromolecular Theory and Simulations 6, no. 1 (1997): 161–68. http://dx.doi.org/10.1002/mats.1997.040060111.

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4

Smirnov, Alexander V., Ivan N. Deryabin, and Boris A. Fedorov. "Small-angle scattering: the Guinier technique underestimates the size of hard globular particles due to the structure-factor effect." Journal of Applied Crystallography 48, no. 4 (2015): 1089–93. http://dx.doi.org/10.1107/s160057671501078x.

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The straightforward calculation of small-angle scattering intensity by hard spheres at different concentrations is performed. For the same system of hard spheres, the scattering intensities were found both using the product of the form factor and the structure factor {based on the work of Kinning & Thomas [Macromolecules, (1984),17, 1712–1718]} and using the correlation function {based on the work of Kruglov [J. Appl. Cryst.(2005),38, 716–720] and Hansen [J. Appl. Cryst.(2011),44, 265–271;J. Appl. Cryst.(2012),45, 381–388]}. All three intensities are in agreement at every concentration. Th

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5

Kawaguchi, Takeshi. "Scattering curve and radius of gyration of a straight chain of identical spheres." Journal of Applied Crystallography 34, no. 6 (2001): 771–72. http://dx.doi.org/10.1107/s0021889801014558.

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The angularly averaged scattering intensity and the radius of gyration of a straight chain ofNequal spheres have been derived. The intensity becomes equal to zero at the same points where the intensity of the constituting sphere vanishes. The property holds also for a `particle' formed ofNequally sized and non-overlapping spheres with different electron densities. The radius of the spheres can be determined from the positions of the zeros. The number of the spheres can be obtained from the extrapolated zero-angle intensity or from the radius of gyration in the case of linear chains.

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6

Li, Zhigang, Yan Shi, and Shanzhi Chen. "Exploring the influence of human mobility on information spreading in mobile networks." International Journal of Modern Physics C 27, no. 06 (2016): 1650066. http://dx.doi.org/10.1142/s0129183116500662.

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In recent years, the dynamic spread of information has captured researchers’ attention. Therefore, identifying influential spreaders of information has become a fundamental element of information spreading research. Many studies have measured the influence of spreaders by considering the centrality indexes of network topology characteristics, such as degree, betweenness and closeness centrality. Additionally, some works have identified influential spreaders by analyzing human mobility characteristics such as contact frequency, contact time and inter-contact time. In this paper, we mainly explo

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7

Jensen, Robert K. "Body segment mass, radius and radius of gyration proportions of children." Journal of Biomechanics 19, no. 5 (1986): 359–68. http://dx.doi.org/10.1016/0021-9290(86)90012-6.

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8

Zuo, Haochen, Shouqi Cao, and Qingzhao Yin. "Molecular dynamics study of alloying process of Cu–Au nanoparticles with different heating rates." International Journal of Modern Physics B 35, no. 04 (2021): 2150060. http://dx.doi.org/10.1142/s0217979221500600.

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In this paper, molecular dynamics (MD) simulation is utilized for the investigation of impact of heating rates on Au and Cu nanoparticles alloying process. Aggregation of contacted nanoparticles experiences three stages due to the contacting, while the alloying process can be distinguished into five regimes because of the contacting and melting. Different heating rates result in different contact temperatures. The decrease of the potential energy can be observed when the temperature reaches the melting temperature. When the temperature reaches the melting point, shrinkage ratio and relative gy

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9

Bluhm, T. L., and M. D. Whitmore. "Styrene/butadiene block copolymer micelles in heptane." Canadian Journal of Chemistry 63, no. 1 (1985): 249–52. http://dx.doi.org/10.1139/v85-041.

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The radius of gyration of poly(styrene-b-butadiene) block copolymer micelles in n-heptane is measured by small angle X-ray scattering (SAXS). The results are compared with theoretical predictions, and good agreement is found, particularly for the appropriate scaling relations. It is argued that the radius of gyration of the micelles depends on both the molecular weight and the composition of the copolymers. The dominant factors which determine the micelle core and corona dimensions are identified.

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10

Stojanovic, Zeljko, Katarina Jeremic, Slobodan Jovanovic, Wolfgang Nierling, and Manfred Lechner. "Influence of substituent type on properties of starch derivates." Chemical Industry 64, no. 6 (2010): 555–64. http://dx.doi.org/10.2298/hemind101125076s.

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The subject of the study was investigation of influence of substituent type on the properties of starch derivates in diluted solutions. Three samples were prepared: two anionic (carboxymethyl starch, CMS) and one cationic starch (KS). Starch derivates were synthesized in two steps. The first step was preparation of alkali starch by the addition of sodium-hydroxide to the starch dispersed in ethanol or water. In the second step, the required amount of sodium monocloracetate or 3-chloro-2-hydroxypropyl-threemethylamonium chloride was added to the obtained alkali starch in order to prepare CMS or

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11

Nechaev, Sergei, and Alexander Valov. "Fixman problem revisited: when fluctuations of inflated ideal polymer loop are non-Gaussian?" Journal of Physics A: Mathematical and Theoretical 54, no. 46 (2021): 465001. http://dx.doi.org/10.1088/1751-8121/ac2ea4.

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Abstract We consider statistics of a planar ideal polymer loop of length L in a large deviation regime, when a gyration radius, R g, is slightly less than the radius of a fully inflated ring, L 2 π . Specifically, we study analytically and via off-lattice Monte-Carlo simulations relative fluctuations of chain monomers in an ensemble of Brownian loops. We have shown that these fluctuations in the regime with fixed large gyration radius are Gaussian with the critical exponent γ = 1 2 . However, if we insert inside the inflated loop the impenetrable disc of radius R d = R g, the fluctuations beco

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12

Budkov, Yury A., and Andrei L. Kolesnikov. "On gyration radius distributions of star-like macromolecules." Journal of Statistical Mechanics: Theory and Experiment 2021, no. 6 (2021): 063213. http://dx.doi.org/10.1088/1742-5468/ac096a.

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13

Abramowicz, M. A., J. C. Miller, and Z. Stuchlík. "Concept of radius of gyration in general relativity." Physical Review D 47, no. 4 (1993): 1440–47. http://dx.doi.org/10.1103/physrevd.47.1440.

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14

Zhou, Zhiping, and Deyue Yan. "Mean-square radius of gyration of polymer chains." Macromolecular Theory and Simulations 6, no. 3 (1997): 597–611. http://dx.doi.org/10.1002/mats.1997.040060302.

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15

SUZUKI, Akihiro, and Rinji ABE. "Algorithm Estimating Radius of Gyration for Rotational Motion." Transactions of the Society of Instrument and Control Engineers 59, no. 2 (2023): 88–90. http://dx.doi.org/10.9746/sicetr.59.88.

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16

Vega Paz, A., F. De J. Guevara Rodríguez, J. F. Palomeque Santiago, and And N. Victorovna Likhanova. "Polymer weight determination from numerical and experimental data of the reduced viscosity of polymer in brine." Revista Mexicana de Física 65, no. 4 Jul-Aug (2019): 321. http://dx.doi.org/10.31349/revmexfis.65.321.

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The molecular weight of poly[acrylamide-co-vinylpyrrolidone-co-(vinyl benzyl) trimethyl ammonium]chloride is determined from numerical and experimental data of the reduced viscosity of polymer in brine (with 0.1M NaCl) at normal temperature and pressure. The methodology is based on the numerical results of the mean radius of gyration of polymer and reduced viscosity which is derived from the molecular dynamics simulation of the mixture by using the NPT ensemble. The formula of the reduced viscosity as a function of the polymer radius of gyration and the polymer concentration in brine is propos

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17

WEN, DE-HUA, WEI CHEN, YI-GANG LU, and LIANG-GANG LIU. "FRAME DRAGGING EFFECT ON MOMENT OF INERTIA AND RADIUS OF GYRATION OF NEUTRON STAR." Modern Physics Letters A 22, no. 07n10 (2007): 631–36. http://dx.doi.org/10.1142/s0217732307023225.

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Accurate to the first order in the uniform angular velocity, the general relativistic frame dragging effect of the moments of inertia and the radii of gyration of two kinds of neutron stars are calculated in a relativistic σ – ω model. The calculation shows that the dragging effect will diminish the moments of inertia and radii of gyration.

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18

Sumardiono, Sumardiono, and I. Putu Wibawa. "Sensitivity of Mass Distribution with Respect to Pitch Motions of High-Speed Craft." Journal of Ocean, Mechanical and Aerospace -science and engineering- (JOMAse) 67, no. 2 (2023): 55–57. http://dx.doi.org/10.36842/jomase.v67i2.332.

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Beside of environmental conditions, ship characteristics also greatly affect in ship behavior when operating at sea, called seakeeping ability. The shape of the hull, appendages, damping, and the weight distribution of ship are some of the factors that determine how the ship motion response occurred. This paper examines how much the pitch motion is influenced in high-speed craft due to the changing of the gyration radius. By using the strip theory method, and by taking the irregular head sea condition and a wave height of 4 meters, then the ship speed and the wave period are varied to determin

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19

Zhai, Baihui, Qiang Tian, Na Li, Minhao Yan, and Mark J. Henderson. "SAXS study of the formation and structure of polynuclear thorium(IV) colloids and thorium dioxide nanoparticles." Journal of Synchrotron Radiation 29, no. 2 (2022): 281–87. http://dx.doi.org/10.1107/s1600577521012923.

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Stable actinide colloids and nanoparticles are of interest because of their potential to affect the transportation of radionuclides in the near-field of a nuclear waste repository. At high concentrations, thorium(IV) can precipitate to form intrinsic colloids. In the present study, polynuclear thorium colloids and thorium dioxide crystallites, formed by the condensation of hydrolyzed Th4+ solutions (3 mM; initial pH 5.5) aged for up to 18 months, were studied using small-angle X-ray scattering. Scattering profiles were fitted using a unified Guinier/power-law model (Beaucage model) to extract

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20

Zhong, Hongzhi, and Minmao Liao. "Higher-Order Nonlinear Vibration Analysis of Timoshenko Beams by the Spline-Based Differential Quadrature Method." Shock and Vibration 14, no. 6 (2007): 407–16. http://dx.doi.org/10.1155/2007/146801.

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Higher-order nonlinear vibrations of Timoshenko beams with immovable ends are studied. The nonlinear effects of axial deformation, bending curvature and transverse shear strains are considered. The nonlinear governing differential equations are solved using a spline-based differential quadrature method (SDQM), which is constructed based on quartic B-splines. Ratios of the nonlinear to the linear frequencies are extracted and their variations with the ratio of amplitude to radius of gyration are examined. In contrast to the well-recognized finding for the nonlinear fundamental frequency of beam

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21

Yanao, Tomohiro, Wang S. Koon, Jerrold E. Marsden, and Ioannis G. Kevrekidis. "Gyration-radius dynamics in structural transitions of atomic clusters." Journal of Chemical Physics 126, no. 12 (2007): 124102. http://dx.doi.org/10.1063/1.2710272.

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22

Ma, Haizhu, and Linxi Zhang. "Unperturbed Mean-Square Radius of Gyration of 1,2-Polybutadiene." Polymer Journal 26, no. 2 (1994): 121–31. http://dx.doi.org/10.1295/polymj.26.121.

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23

Eliezer, D., P. A. Jennings, P. E. Wright, S. Doniach, K. O. Hodgson, and H. Tsuruta. "The Radius of Gyration of an Apomyoglobin Folding Intermediate." Science 270, no. 5235 (1995): 487. http://dx.doi.org/10.1126/science.270.5235.487.

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24

Leung, Alfred F. "Radius of Gyration of a Sphere and a Barrel." Physics Teacher 44, no. 4 (2006): 222–25. http://dx.doi.org/10.1119/1.2186232.

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25

Hoshen, Joseph. "Percolation and cluster structure parameters: The radius of gyration." Journal of Physics A: Mathematical and General 30, no. 24 (1997): 8459–69. http://dx.doi.org/10.1088/0305-4470/30/24/011.

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26

Chia-chung, Sun, Xiao Xing-cai, Huang Xu-ri, and Li Ze-sheng. "Thekth Radius of Gyration of Aa1, Aa2–BbCcType Polymerization." Bulletin of the Chemical Society of Japan 66, no. 11 (1993): 3185–88. http://dx.doi.org/10.1246/bcsj.66.3185.

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27

Kozlov, G. V., and I. V. Dolbin. "Carbon Nanotubes/Nanofibers as Coil Macromolecules: Radius of Gyration." Russian Physics Journal 61, no. 3 (2018): 498–502. http://dx.doi.org/10.1007/s11182-018-1425-3.

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28

Zhang, Danhui, Houbo Yang, Zhongkui Liu, and Anmin Liu. "Molecular dynamics simulations of single-walled carbon nanotubes and polynylon66." International Journal of Modern Physics B 33, no. 23 (2019): 1950258. http://dx.doi.org/10.1142/s0217979219502588.

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Polynylon66, as a kind of important engineering plastics, is widely used in various fields. In this work, we studied the interfacial interactions between polynylon66 and single-walled carbon nanotubes (SWCNTs) using molecular dynamics (MD) simulations. The results showed that the polynylon66 could interact with the SWCNTs and the mechanism of interfacial interaction between polynylon66 and SWCNTs was also discussed. Furthermore, the morphology of polynylon66 adsorbed to the surface of SWCNTs was investigated by the radius of gyration. Influence factors such as the initial angle between polynyl

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29

Egorov, Sergei A. "Depletion Interactions between Nanoparticles: The Effect of the Polymeric Depletant Stiffness." Polymers 14, no. 24 (2022): 5398. http://dx.doi.org/10.3390/polym14245398.

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A Density Functional Theory is employed to study depletion interactions between nanoparticles mediated by semiflexible polymers. The four key parameters are the chain contour length and the persistence length of the polymeric depletant, its radius of gyration, and the nanoparticle radius. In the Density Functional Theory calculation of the depletion interaction between the nanoparticles mediated by semiflexible polymers, the polymer gyration radius is kept constant by varying the contour length and the persistence length simultaneously. This makes it possible to study the effect of the chain s

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30

Li, Qibin, Tao Fu, Tiefeng Peng, Xianghe Peng, Chao Liu, and Xiaoyang Shi. "Coalescence of Cu contacted nanoparticles with different heating rates: A molecular dynamics study." International Journal of Modern Physics B 30, no. 30 (2016): 1650212. http://dx.doi.org/10.1142/s021797921650212x.

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The coalescence, the initial stage of sintering, of two contacted Cu nanoparticles is investigated under different heating rates of 700, 350 and 233 K/ns. The nanoparticles coalesced rapidly at the initial stage when the temperature of the system is low. Then, the nanoparticles collided softly in an equilibrium period. After the system was increased to a high temperature, the shrinkage ratio, gyration radius and atoms’ diffusion started to change dramatically. The lower heating rate can result in smaller shrinkage ratio, larger gyration radius and diffusion of atoms. However, the growth of sin

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31

Kawaguchi, Takeshi. "Radii of gyration and scattering functions of a torus and its derivatives." Journal of Applied Crystallography 34, no. 5 (2001): 580–84. http://dx.doi.org/10.1107/s0021889801009517.

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A torus is a simple body with cylindrical rotational symmetry. The radius of gyration and scattering function of a torus have been derived in cylindrical coordinates. Some derivatives of a torus (torus with elliptical cross section, tubular torus and two stacked tori) have been treated in the same manner as the torus. The radii of gyration are given by simple formulae and the scattering curves are easily obtained by numerical calculation using a personal computer.

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32

Gao, Yue Kai, Xue Jia Ding, Tao Hu, Yi Li, and Si Zhu Wu. "Study on the Stress Relaxation of Polychloroprene Rubber by Molecular Dynamics Simulation at Different Temperature." Advanced Materials Research 532-533 (June 2012): 311–15. http://dx.doi.org/10.4028/www.scientific.net/amr.532-533.311.

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In this study, molecular dynamics (MD) simulation has been employed to investigate the distribution function of gyration radius under different temperatures. The structure of chloroprene rubber (CR) was constructed and the circles of energy minimization were applied. The fitting functions of normal stress with time under different pressures were obtained. Compression stress relaxation experiment of different temperatures was also conducted. Comparing with the coefficient of stress relaxation from the experiment, it was found that the theoretical stress relaxation results were similar to the ex

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33

Liu, Li-Yan, Zhong-Xun Yu, Li-Xiang Liu, et al. "Self-assembly of polyelectrolyte diblock copolymers within mixtures of monovalent and multivalent counterions." Physical Chemistry Chemical Physics 22, no. 28 (2020): 16334–44. http://dx.doi.org/10.1039/d0cp01019g.

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34

Li, Yonghua, Fanling Meng, Jinkuan Wang, and Yuming Wang. "The characterization of crystalline particle growth in TiNi thin films." Journal of Applied Crystallography 37, no. 6 (2004): 1007–9. http://dx.doi.org/10.1107/s0021889804022332.

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Small-angle X-ray scattering (SAXS) and X-ray diffraction (XRD) have been used to investigate sputter-deposited TiNi films annealed at 773 K for 3, 8, 13, 15, 25 and 60 min. The specific interfacial area of the crystalline–amorphous two-phase system increases at the beginning of annealing, achieves a maximum after about 13 min and decreases on further annealing, whereas the radius of gyration of the crystalline particle increases during the annealing process. The prominent increase of the specific interfacial area and the slight increase of the radius of gyration of the crystalline particle at

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35

Saneifard, Rahim, and Rasoul Saneifard. "Defuzzification Method for Ranking Fuzzy Numbers Through Radius of Gyration." Journal of Fuzzy Set Valued Analysis 2016 (2016): 131–39. http://dx.doi.org/10.5899/2016/jfsva-00282.

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36

Nakamura, Yo, Yunan Wan, Jimmy W. Mays, Hermis Iatrou, and Nikos Hadjichristidis. "Radius of Gyration of Polystyrene Combs and Centipedes in Solution." Macromolecules 34, no. 6 (2001): 2018. http://dx.doi.org/10.1021/ma992460m.

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37

Wei, Gaoyuan. "Distribution function of the radius of gyration for Gaussian molecules." Journal of Chemical Physics 90, no. 10 (1989): 5873–77. http://dx.doi.org/10.1063/1.456394.

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38

Mansfield, Marc L. "Change in radius of gyration of semicrystalline polymers upon crystallization." Macromolecules 19, no. 3 (1986): 851–54. http://dx.doi.org/10.1021/ma00157a063.

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39

Slater, Gary W., Jaan Noolandi, and Adi Eisenberg. "Radius of gyration of charged reptating chains in electric fields." Macromolecules 24, no. 25 (1991): 6715–20. http://dx.doi.org/10.1021/ma00025a024.

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40

Nakamura, Yo, Yunan Wan, Jimmy W. Mays, Hermis Iatrou, and Nikos Hadjichristidis. "Radius of Gyration of Polystyrene Combs and Centipedes in Solution." Macromolecules 33, no. 22 (2000): 8323–28. http://dx.doi.org/10.1021/ma0007076.

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41

Heymans, Nicole. "Radius of gyration, maximum extensibility and intrinsic crazing in thermoplastics." Journal of Materials Science 23, no. 7 (1988): 2394–402. http://dx.doi.org/10.1007/bf01111894.

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42

Saneifard, Rahim, and Rasoul Saneifard. "A new effect of radius of gyration with neural networks." Neural Computing and Applications 23, no. 5 (2012): 1257–63. http://dx.doi.org/10.1007/s00521-012-1067-2.

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43

Lobanov, M. Yu, N. S. Bogatyreva, and O. V. Galzitskaya. "Radius of gyration as an indicator of protein structure compactness." Molecular Biology 42, no. 4 (2008): 623–28. http://dx.doi.org/10.1134/s0026893308040195.

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44

Zhou, Zhiping, and Deyue Yan. "Mean-square Radius of Gyration of Poly[oxy(1-alkylethylenes)]." Polymers for Advanced Technologies 8, no. 4 (1997): 270–74. http://dx.doi.org/10.1002/(sici)1099-1581(199704)8:4<270::aid-pat640>3.0.co;2-o.

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45

Zhou, Zhiping. "The Radius of Gyration of the Products of Hyperbranched Polymerization." Macromolecular Theory and Simulations 23, no. 3 (2014): 218–26. http://dx.doi.org/10.1002/mats.201300145.

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46

Jayaram, M. A., G. K. Prashanth, and Sachin C. Patil. "Inertia-Based Ear Biometrics: A Novel Approach." Journal of Intelligent Systems 25, no. 3 (2016): 401–16. http://dx.doi.org/10.1515/jisys-2015-0047.

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AbstractThe human ear has been deemed to be a source of data for person identification in recent years. Ear biometrics has distinct advantages, such as visibility from a distance and ease with which images could be captured. This paper elaborates on a novel approach to ear biometrics. We propose moment of inertia-based biometric for the ears in any random orientation. The features concerned are the moment of inertia about the major and minor axes, corresponding radii of gyration, and the planar surface area of the ear. The databases of the said features were collected through ear images of 600

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47

Alavijeh, Hossein Nouri, and Ruth E. Baltus. "Can Hindered Transport Models for Rigid Spheres Predict the Rejection of Single Stranded DNA from Porous Membranes?" Membranes 12, no. 11 (2022): 1099. http://dx.doi.org/10.3390/membranes12111099.

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In this paper, predictions from a theoretical model describing the rejection of a rigid spherical solute from porous membranes are compared to experimental results for a single stranded DNA (ssDNA) with 60 thymine nucleotides. Experiments were conducted with different pore size track-etched membranes at different transmembrane pressures and different NaCl concentrations. The model includes both hydrodynamic and electrostatic solute–pore wall interactions; predictions were made using different size parameters for the ssDNA (radius of gyration, hydrodynamic radius, and root mean square end-to-en

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48

Cen, Weifu, and Xin He. "Study on the Effect of Ce Doping Concentration on the Kinetics of Graphene Formation." Frontiers in Science and Engineering 4, no. 9 (2024): 1–10. http://dx.doi.org/10.54691/pgdq5z31.

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The thermodynamic and kinetic processes of Ce-doped graphene were simulated by the method of first-principles molecular dynamics. The structural optimization and annealing, the kinetic properties of Ce-doped graphene composites were calculated by the classical mechanics Forcite module. The results show that with the increase of Ce doping concentration, the order of the radial distribution function in the system increases and presents a state of aggregation. According to the analysis of mean azimuth shift function, the mean square displacement (MSD) value of Ce doped graphene composite increase

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49

Bakos, Jack D., and James A. OLeary. "An Equivalent Radius of Gyration Approach to Flexural-Torsional Buckling for Singly Symmetric Sections." Engineering Journal 29, no. 1 (1992): 26–44. http://dx.doi.org/10.62913/engj.v29i1.582.

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Flexural-torsional buckling of compression members must now be considered when designing under all AISC specifications, i.e., Load and Resistance Factor Design (LRFD) and Allowable Stress Design (ASD). Many practicing structural engineers are probably somewhat unfamiliar with the basic flexural-torsional buckling theory and its meaning and application in the design environment. Zahn and Iwankiw have presented an overview on this topic as a means of providing a practical understanding of this strength limit state. Furthermore, the presentation of this new dimension to novice design students not

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50

Zuo, Haochen, Shouqi Cao, Qingzhao Yin, and Junjun Huang. "Investigation of alloying process of Cu and Au nanoparticles based on molecular dynamics simulation." International Journal of Modern Physics B 34, no. 26 (2020): 2050239. http://dx.doi.org/10.1142/s0217979220502392.

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Nanotechnology plays an important role in the development of modern science and technology. In this paper, the alloying process of Cu and Au nanoparticles with different diameters (Cu(100 Å) and Au(70 Å), Au(100 Å) and Cu(70 Å), Au(100 Å) and Cu(50 Å) Cu(100 Å) and Au(50 Å)) was investigated by molecular dynamics (MD) simulation. Cu and Au nanoparticles contact each other at 300 K. The melting temperature of the Cu and Au system is about 1160 K in which the nanoparticles of the studied systems fuse rapidly. At the same time, the lattice structure of nanoparticles is also changed from face-cent

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