Some Considerations for Formation of Defects in Crystals at the Atomic Level

V. I. Zasymchuk, O. E. Zasymchuk

G. V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 19.12.2014; final version - 18.05.2018. Download: PDF

Oscillations and interaction of two positive ions embedded into electron gas are investigated including the region far from the linear behaviour. As shown, in order to be unstable movement of the ions, it is necessary that they go away one another on a distance larger than 1.5$\alpha$ at least sometimes during their oscillations. The vibrational energy of ion, which is necessary in order to take place for this separation, and probability of appearance of such ions are estimated for a univalent metals. The obtained results are generalized on a bulk metal. A case of a large number of ‘unstable ions’ is investigated.

Key words: hydrodynamic flow channel, defects, stability, energy of ion natural oscillations, yield stress, active ion, entropy, critical size.



PACS: 05.45.-a, 05.70.-a, 61.72.Bb, 62.20.fq, 62.25.Mn, 81.40.Lm, 83.50.Ha

Citation: V. I. Zasymchuk and O. E. Zasymchuk, Some Considerations for Formation of Defects in Crystals at the Atomic Level, Metallofiz. Noveishie Tekhnol., 40, No. 6: 845—857 (2018) (in Russian)

  1. E. E. Zasimchuk and L. I. Markashova, Mater. Sci. Eng. A, 127: 33 (1990). Crossref
  2. M. N. Belyakova, E. E. Zasimchuk, and Yu. G. Gordienko, Metallofiz. Noveishie Tekhnol., 21, No. 4: 59 (1999) (in Russian).
  3. O. Eh. Zasimchuk and V. I. Zasimchuk, Metallofiz. Noveishie Tekhnol., 28, No. 6: 803 (2006) (in Russian).
  4. V. A. Likhachev, V. E. Panin, E. E. Zasimchuk et al., Kooperativnye Deformatsionnye Protsessy i Lokalizatsiya Deformatsii [Cooperative Deformation Processes and Localization of Deformation] (Kiev: Naukova Dumka: 1989), p. 65 (in Russian).
  5. O. Eh. Zasymchuk, V. I. Zasymchuk, and T. V. Turchak, Prog. Phys. Met., 14, No. 3: 275 (2013) (in Russian). Crossref
  6. Yu. Gordienko and E. Zasimchuk, Phil. Mag. A, 70, Iss. 1: 99 (1994). Crossref
  7. Ya. I. Frenkel', Vvedenie v Teoriyu Metallov [Introduction to the Theory of Metals] (Leningrad: Nauka: 1972) (in Russian).
  8. G. Korn and T. Korn, Spravochnik po Matematike dlya Nauchnykh Rabotnikov i Inzhenerov [Mathematical Handbook for Scientists and Engineers] (Moscow: Nauka: 1978) (Russian translation).
  9. A. I. Ansel'm, Vvedenie v Teoriyu Poluprovodnikov [Introduction to the Theory of Semiconductors] (Moscow: Nauka: 1978) (in Russian).
  10. L. D. Landau and E. M. Lifshits, Teoreticheskaya Fizika. T. V. Statisticheskaya Fizika. Ch. 1 [Theoretical Physics. Vol. V. Statistical Physics. Pt. 1] (Moscow: Nauka: 1976) (in Russian).
  11. L. A. Sena, Edinitsy Fizicheskikh Velichin i Ikh Razmernosti [Units of Physical Quantities and Their Dimensions] (Moscow: Nauka: 1977) (in Russian).
  14. O. S. Gatsenko, O. E. Zasymchuk, P. O. Tesel'ko, S. G. Stirenko, and Yu. G. Gordienko, Metallofiz. Noveishie Tekhnol., 36, No. 9: 1207 (2014) (in Ukrainian). Crossref
  15. Yu. M. Poluektov, Fizika Nizkikh Temperatur, 34, Nos. 4/5: 459 (2008) (in Russian).
  16. V. Kh. Kozlovskiy, Izv. VUZov. Fizika, 50, No. 3: 16 (2007) (in Russian).