Abstract
We propose a method for calculating the evolution of the cluster-size distribution functions of fullerene C60 aggregates in polar solutions within the previously developed limited growth model. This method allows calculation of the distribution function f(r,t) at arbitrary moments of time for the given parameters of the system. As an example, we calculate the evolution of the mean cluster size, concentrations of monomers, and f(r,t) for a model polar solution of fullerenes. Small-angle neutron scattering curves at different times from the onset of C60 aggregation in the solution are obtained.
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REFERENCES
H. W. Kroto, J. R. Heath, S. C. O’Brien, et al., Nature 318, 162 (1985).
R. S. Ruoff, D. S. Tse, R. Malhotra, et al., J. Phys. Chem. 97, 3379 (1993).
M. V. Avdeev, V. L. Aksenov, and T. V. Tropin, Russ. J. Phys. Chem. A 84 (8), 1273 (2010).
O. Kyzyma, M. V. Korobov, M. V. Avdeev, et al., Chem. Phys. Lett. 493, 103 (2010).
A. Mrzel, A. Mertelj, A. Omerzu, et al., J. Phys. Chem. B 103, 11 256 (1999).
T. V. Tropin, M. V. Avdeev, O. A. Kyzyma, and V. L. Aksenov, Phys. Status Solidi B 247, 3022 (2010).
T. V. Tropin, M. V. Avdeev, O. A. Kyzyma, et al., Phys. Status Solidi B 248, 2728 (2011).
T. V. Tropin, N. Jargalan, M. V. Avdeev, et al., J. Mol. Liq. 175, 4 (2012).
T. V. Tropin, N. Jargalan, M. V. Avdeev, et al., Phys. Solid State 56 (1), 148 (2014).
V. V. Slezov and V. V. Sagalovich, Usp. Fiz. Nauk 151 (1), 67 (1987).
J. W. P. Schmelzer, Mater. Phys. Mech. 6, 21 (2003).
V. V. Slezov, Kinetics of First-Order Phase Transitions (Wiley-VCH, Weinheim, 2009).
N. Jargalan, T. V. Tropin, M. V. Avdeev, et al., Nanosyst.: Phys., Chem., Math. 7, 99 (2016).
M. Alfè, B. Apicella, R. Barbella, et al., Chem. Phys. Lett. 405, 193 (2005).
V. L. Aksenov, M. V. Avdeev, T. V. Tropin, et al., Phys. B (Amsterdam, Neth.) 385–386, 795 (2006).
O. A. Kyzyma, T. O. Kyrey, M. V. Avdeev, et al., Chem. Phys. Lett. 556, 178 (2013).
ACKNOWLEDGMENTS
The work was supported by the Russian Foundation for Basic Research (grant no. 14-23-01015).
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Translated by L. Chernikova
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Tropin, T.V., Avdeev, M.V. & Aksenov, V.L. Modeling of the Evolution of Cluster-Size Distribution Functions in Polar Fullerene C60 Solutions. J. Surf. Investig. 13, 82–86 (2019). https://doi.org/10.1134/S102745101901035X
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DOI: https://doi.org/10.1134/S102745101901035X