To the Dimensional Effect in Nanostructured Systems


  • R.D. Vengrenovich Yu. Fed’kovich National University of Chernivtsi
  • B.V. Ivanskii Yu. Fed’kovich National University of Chernivtsi
  • V.I. Kryvetskyi Yu. Fed’kovich National University of Chernivtsi
  • I.V. Fesiv Yu. Fed’kovich National University of Chernivtsi
  • S.V. Yarema Yu. Fed’kovich National University of Chernivtsi



nanotechnology, nanostructured system, nanoparticle, surface energy, quantum dot, Ostwald ripening, Gibbs–Thomson effect


An expression for the Gibbs–Thomson formula in the nanometer interval from 1 to 10 nm is obtained, in which the surface energy σ0 depends on the particle size r. It is shown that the account for the dependence σ(r) changes the solubility of nanoparticles and the rate of their growth dr/dt, and, hence, the kinetics of the Ostwald ripening process in whole. This circumstance is especially important in the case of quantum dots obtained using the colloidal chemistry methods in the spherical form, with dimensions ranging from one to several nanometers.


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How to Cite

Vengrenovich, R., Ivanskii, B., Kryvetskyi, V., Fesiv, I., & Yarema, S. (2023). To the Dimensional Effect in Nanostructured Systems. Ukrainian Journal of Physics, 68(1), 53.



Structure of materials