Effects of Anisotropy in Prismatic Dislocation Loops and Disc-Shape Clusters Orientation in the Statistical Dynamical Theory of X-Ray Scattering

Issues » Volume 41, Issue 6

I. P. Yaremiy$^{1}$, B. K. Ostafiychuk$^{1}$, U. O. Tomyn$^{2}$, S. I. Yaremiy$^{2}$, M. M. Povkh$^{1}$

$^{1}$Vasyl Stefanyk Precarpathian National University, 57 Shevchenko Str., 76018 Ivano-Frankivsk, Ukraine
$^{2}$Ivano-Frankivsk National Medical University, 2 Halytska Str., 76018 Ivano-Frankivsk, Ukraine

Received: 10.04.2019. Download: PDF

For the analysis of the crystalline structure of single crystals and films within the approach of the statistical dynamical theory of X-ray scattering, functional dependences of structurally sensitive to defects parameters that take into account the effects of anisotropy in the orientation of the centrally asymmetric defects (dislocation loops and disc-shape clusters) are obtained. The coefficient in the expression of the Krivoglaz–Debye–Waller static factor for dislocation loops with different Burgers vector’s orientations for different reflections is calculated. Dependences of the extinction coefficient for dislocation loops of any orientation and size are obtained. As shown, the intensity of the diffuse background, calculated with and without taking into account the anisotropy in the orientation of dislocation loops, may differ by almost an order of magnitude. It is concluded that ignoring the existence of anisotropy in the orientation of the dislocation loops may lead to an over-magnification of the dislocation loops concentration calculated from the experimental rocking curves.

Key words: ion implantation, dislocation loops, disc-shape clusters, effects of anisotropy, statistical dynamic theory of X-ray scattering, X-ray diffractometry.

URL: http://mfint.imp.kiev.ua/en/abstract/v41/i06/0699.html

DOI: https://doi.org/10.15407/mfint.41.06.0699

PACS: 61.05.cc, 61.05.cf, 61.05.cp, 61.72.Dd, 61.72.Qq, 68.55.Ln

Citation: I. P. Yaremiy, B. K. Ostafiychuk, U. O. Tomyn, S. I. Yaremiy, and M. M. Povkh, Effects of Anisotropy in Prismatic Dislocation Loops and Disc-Shape Clusters Orientation in the Statistical Dynamical Theory of X-Ray Scattering, Metallofiz. Noveishie Tekhnol., 41, No. 6: 699—715 (2019) (in Ukrainian)

REFERENCES

M. A. Krivoglaz, Diffraction of X-Rays and Thermal Neutrons in Imperfect Crystals (Berlin, New York: Springer: 1996).
P. H. Dederichs, Phys. Rev. B, 1, Iss. 4: 1306 (1970). Crossref
V. B. Molodkin, A. P. Shpak, M. V. Kovalchuk, V. F. Machulin, and V. L. Nosik, Phys. Usp., 54, No. 7: 661 (2011). Crossref
V. B. Molodkin, S. J. Olikhovskii, B. V. Sheludchenko, E. G. Len, and M. T. Kogut, Metallofiz. Noveishie Tekhnol., 30, No. 9: 1173 (2008) (in Ukrainian).
V. B. Molodkin, S. J. Olikhovskii, B. V. Sheludchenko, E. G. Len', and M. T. Kogut, Nanosistemi, Nanomateriali, Nanotehnologii, 6, No. 3: 785 (2008) (in Ukrainian).
V. B. Molodkin, S. J. Olikhovskii, B. V. Sheludchenko, E. G. Len', and M. T. Kogut, Nanosistemi, Nanomateriali, Nanotehnologii, 6, No. 3: 807 (2008) (in Ukrainian).
L. I. Datsenko, V. B. Molodkin, M. E Osinovskiy, Dinamicheskoe Rasseyanie Rentgenovskikh Luchej Realnymi Kristallami [Dynamic X-ray Scattering of Real Crystals] (Kiev: Naukova Dumka: 1988) (in Russian).
V. B. Molodkin and E. A. Tikhonova, FMM, 24, No. 3: 385 (1967) (in Russian).
S. J. Olikhovs'ky, Ye. M. Kislovs'ky, V. B. Molodkin, Ye. G. Len', T. P. Vladimirova, and O. V. Reshetnyk, Metalloﬁz. Noveishie Tekhnol., 22, No. 6: 3 (2000) (in Ukrainian).
V. V. Nemoshkalenko, V. B. Molodkin, Ye. M. Kislovs'ky, S. I. Olikhovs'ky, T. A. Gryshchenko, M. T. Kogut, and E. V. Pervak, Metalloﬁz. Noveishie Tekhnol., 22, No. 2: 42 (2000) (in Russian).
I. P. Yaremiy, M. M. Povkh, V. O. Kotsyubynsky, V. D. Fedoriv, S. I. Yaremiy, and R. I. Pashkovska, Physics and Chemistry of Solid State, 20, No. 1: 56 (2019). Crossref
I. Yaremiy, S. Yaremiy, M. Povkh, O. Vlasii, V. Fedoriv, and A. Lucas, Eastern-European Journal of Enterprise Technologies, 6, No. 12 (96): 50 (2018). Crossref
B. K. Ostafiychuk, I. P. Yaremiy, S. I. Yaremiy, V. D. Fedoriv, M. M. Umantsiv, U. O. Tomyn, and O. S. Skakunova, Metalloﬁz. Noveishie Tekhnol., 35, No. 10: 1333 (2013) (in Ukrainian).
B. K. Ostafiychuk, I. P. Yaremiy, S. I. Yaremiy, V. D. Fedoriv, U. O. Tomyn, M. M. Umantsiv, I. M. Fodchuk, and V. P. Kladko, Crystallography Reports, 58, No. 7: 1017 (2013). Crossref
I. M. Fodchuk, I. I. Gutsuliak, R. A. Zaplitnyy, I. P. Yaremiy, A. Y. Bonchyk, and I. I. Syvorotka, Metalloﬁz. Noveishie Tekhnol., 35, No. 7: 993 (2013) (in Russian).
I. M. Fodchuk, V. V. Dovganiuk, I. I. Gutsuliak, I. P. Yaremiy, A. Y. Bonchyk, G. V. Savytsky, I. M. Syvorotka, and O. G. Skakunova, Metalloﬁz. Noveishie Tekhnol., 35, No. 9: 1209 (2013) (in Russian).