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The Size Effect for Liquid–Liquid Phase Equilibrium in a Ternary System


Size effects during phase transformations in submicrometer- and nanometer-sized systems manifest themselves in a substantial change of the phase diagrams. The construction of phase diagrams of small-volume ternary and multicomponent systems has not yet been mastered. Using an aniline–methylcyclopentane–hexane solution as an example, the effect of the particle (droplet) size on the region of segregation of droplets with a core–shell configuration with a radius of 100 and 50 nm at temperatures of 25 and 45°C is simulated by the methods of chemical thermodynamics. For this system, a decrease in the volume leads to a change in the region of heterogeneity, to the appearance of metastable states that are absent in macrophases, and to an increase in the thermodynamic stability of a homogeneous solution of poorly soluble components.

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  1. 1

    Yu. I. Petrov, Physics of Small Particles (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  2. 2

    T. Tanaka and S. Hara, Z. Metallknd. 92, 1236 (2001).

  3. 3

    J. Lee, J. Park, and T. Tanaka, CALPHAD 33, 377 (2009).

    Article  Google Scholar 

  4. 4

    L. H. Liang, D. Liu, and Q. Jiang, Nanotechnology 14, 438 (2003).

    ADS  Article  Google Scholar 

  5. 5

    A. V. Shishulin, V. B. Fedoseev, and A. V. Shishulina, Tech. Phys. Lett. 46, 938 (2020).

    ADS  Article  Google Scholar 

  6. 6

    A. V. Shishulin and V. B. Fedoseev, Kinet. Catal. 60, 315 (2019).

    Article  Google Scholar 

  7. 7

    H. Peng, W. Qi, S. Li, and W. Ji, J. Phys. Chem. C 119, 2186 (2015).

    Article  Google Scholar 

  8. 8

    G. Guisbiers, R. Mendoza-Pérez, L. Bazán-Díaz, R. Mendoza-Cruz, J. J. Velázquez-Salazar, and M. José-Yacamán, J. Phys. Chem. C 121, 6930 (2017).

    Article  Google Scholar 

  9. 9

    A. V. Shishulin and A. V. Shishulina, in Physicochemical Aspects of Studying Clusters, Nanostructures and Nanomaterials, Collection of Articles (TGU, Tver’, 2019), No. 11, p. 380 [in Russian].

  10. 10

    A. V. Shishulin and V. B. Fedoseev, Inorg. Mater. 55, 14 (2019).

    Article  Google Scholar 

  11. 11

    A. V. Shishulin and V. B. Fedoseev, Tech. Phys. 65, 340 (2020).

    Article  Google Scholar 

  12. 12

    V. B. Fedoseev, Phys. Solid State 57, 599 (2015).

    ADS  Article  Google Scholar 

  13. 13

    B. D. B. Darwent and C. A. Winkler, J. Phys. Chem. 47, 442 (1943).

    Article  Google Scholar 

  14. 14

    H. Binous, F. Shehzad, A. Hasseine, and A. Bellagi, Effect of Temperature on Solubility of Anilin–Methylcyclopentane–Hexane System, 2015.

Download references


This study was supported within the framework of a state order to the Razuvaev Institute of Organometallic Chemistry, Russian Academy of Sciences, and by the Russian Foundation for Basic Research, project no. 18-43-520034-r_povolzh’e_a.

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Correspondence to V. B. Fedoseev.

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Translated by O. Kadkin

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Fedoseev, V.B. The Size Effect for Liquid–Liquid Phase Equilibrium in a Ternary System. Tech. Phys. Lett. 47, 135–138 (2021).

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  • size effect
  • phase equilibria
  • phase separation
  • ternary system
  • core–shell structure.