Dimensional effects and surface energy оf ferroelectric crystals
DOI:
https://doi.org/10.31489/2019No1/18-23Keywords:
surface tension, surface layer, glycine, atomic volume, size dependenceAbstract
To describe the surface tension, a model of the surface layer of atomically smooth ferroelectrics was considered, neglecting the surface roughness. It is believed that a necessary condition for the manifestation of nanostructured properties of a condensed medium is the size dependence of its properties. The surface layer of an atomically smooth crystal consists of two layers, d(I) and d(II). The layer with thickness h = d is called layer (I), and the layer at h≈10d is called layer (II) of an atomically smooth crystal. At h≈10d, the size dependence of the physical properties of the material begins to appear. When h = d, a phase transition occurs in the surface layer. It is accompanied by abrupt changes in physical properties, for example, the direct Hall-Petch effect is reversed. It can be concluded that both previous and current results of studies of the surface of condensed media (metals, dielectrics, ferroelectrics, etc.) are due to size effects and the final structures of their existence.
References
"1 Anokhin A.S. Dimensional and morphic effects in epitaxial films of ferroelectrics. The dissertation of the candidate of physical and mathematical sciences, Rostov-on-Don, SFU, 2015, 136 p.
Pshenko O.A. Synthesis, structure and properties of dielectric and ferromagnetic porous glasses and composites with the properties of ferroelectrics and multiferroics based on them. The dissertation of the candidate of chemical sciences, St. Petersburg, 2017, 212 p.
Alekseeva O.A. Dielectric properties and phase transitions in ferroelectric composite materials. The dissertation of the candidate of physical and mathematical sciences, St. Petersburg, 2018, 133 p.
Guchenko S.A., Zavatskaya O.N., Yurov V.M., Kasymov S.S., Laurinas V.Ch. Surface energy and the tolman constant of galoganide of alkali metals. Eurasian Physical Technical Journal, 2018, Vol.15, No.1(29), pp.48 – 55.
Shcherbakov L.M. On the statistical evaluation of the excess free energy of small objects in the thermodynamics of microheterogeneous systems. Reports of the Academy of Sciences of the USSR. 1966, Vol. 168, No. 2, pp. 388 – 391. [in Russian]
Uvarov N.F., Boldyrev V.V. Size Effects in the Chemistry of Heterogeneous Systems. Advances in Chemistry, 2001, Vol. 70 (4), pp. 307 – 329.
Tringides M.C., Jatochowski M., Bauer E. Quantum size effects in metallic nanostructures. Physics Today. 2007. Vol. 60, No. 4, pp. 50 – 54.
Arutyunov K.Yu. Quantum Size Effects in Metallic Nanostructures. DAN Higher School of Sciences, Russian Academy of Sciences. 2015, No. 3 (28), pp. 7 – 16.
Yurov V.M., Guchenko S.A., Laurinas V.Ch. Surface layer thickness, surface energy and atomic volume of an element. Physical and chemical aspects of studying clusters, nanostructures and nanomaterials, 2018, Vol. 10, pp. 691 – 699.
Yurov V.M., Laurinas V.Ch., Guchenko S.A. Some questions on the physics of the strength of metallic nanostructures. Physical and chemical aspects of studying clusters, nanostructures and nanomaterials, 2013, Vol. 5, pp. 408 – 412.
Guo J. X-Rays in Nanoscience: Spectroscopy, Spectromicroscopy, and Scattering Techniques. Wiley-Vch. Verlag. 2010, 263 p.
Rekhviashvili S.Sh., Kishtikova E.V., Karmokova R.Yu., Karmokov A.M. To the calculation of the Tolman constant. Letters to the Journal of Technical Physics, 2007, Vol. 33, No. 2, pp. 1 – 7.
Yurov V.M., Portnov V.S., Puzeeva M.P. Method for measuring surface tension and density of surface states of dielectrics. Patent RK No. 58155. Publ. 2008, Bull. No.12.
Yurov V.M., Portnov V.S., Puzeeva MP Method of measuring the surface tension of magnetic materials. Patent of the Republic of Kazakhstan No. 58158. Publ. 2008, Bull. No.12.
Yurov V.M. A method for measuring the surface tension of phosphors. Patent of the Republic of Kazakhstan No. 23223. Publ. 2010, Bull. No.11.
Gleiter H. Nanostructured materials: basic concepts and microstructure // Acta mater. 2000, Vol. 48, pp. 1 – 29.
Maritan A., Langie G. and Indekeu J.O. Derivation of Landau theories and lattice mean-field theories for surface and wetting phenomena from semiinfinite ising models. Physics A, 1991, Vol. 170, pp. 326 – 354.
Solntsev Yu.P., Pryakhin E.I. Materials Science. SPb. Himizdat, 2007, 783 p. [in Russian]
Bae M.-K., Horiuchi T., Hara K., Ishibashi Y., Matsushice K. Direct observation of domain structures in Triglicine Sulfate by atomic force microscope. Jpn. J. Appl.Phys., 1994, Vol.33, pp. 1390 – 1395.
Likodimos V., Labardi M., Allegrini M. Kinetics of ferroelectric domains investigated by scanning force microscopy. Phys. Rev., 2000, Vol. 61, pp. 14440 – 14447.
Eng L.M., Bammerlin M., Loppacher Ch., Guggisberg M., Bennewitz R., Luthi R., Meyer E., Guntherodt H.-J. Nondestructive imaging and characterization of ferroelectric domains of periodically poled crystals. Appl. Surf. Sci., 1999, Vol. 140, pp. 253 – 258.
Tolstikhina A.L. Atomic force microscopy of crystals and films with complex surface morphology. The dissertation of the doctor of physical and mathematical sciences. Moscow, 2013, 333 p.
Kentsig V. Ferroelectrics and antiferroelectrics. Moscow, 1960, 345 p. [in Russian]"
