Characterization of the Defect Structure of Crystalline Compounds by the Total Integrated-Reflectivity Method

 V. B. Molodkin$^{1}$ , I. M. Fodchuk$^{2}$, A. R. Kuzmin$^{2}$, V. V. Dovganyuk$^{2}$, I. I. Hutsuliak$^{2}$, M. S. Solodkyi$^{2}$, R. A. Zaplitnyy$^{2}$, Ya. D. Garabazhiv$^{2}$, V. V. Lizunov$^{1}$

$^{1}$G. V. Kurdyumov Institute for Metal Physics, N.A.S. of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^{2}$Yuriy Fedkovych Chernivtsi National University, 2 Kotsyubynsky Str., UA-58002 Chernivtsi, Ukraine

Received: 03.03.2026; final version - 16.04.2026. Download: PDF

The defect structure of crystalline compounds is investigated using the total integrated-reflectivity method. For interpretation of the experimental data, a generalized dynamical theory of x-ray diffraction is applied to real crystals containing randomly distributed microdefects of various types and a disturbed surface layer. The dynamics of the concentration and size variations are analysed for several types of interconnected dominant defects, including spherical and disk-shaped clusters, as well as dislocation loops.

Key words: total integrated reflectivity, high-resolution x-ray diffractometry, dynamical theory, kinematical theory, diffraction curves, crystalline compounds.

URL: https://mfint.imp.kiev.ua/en/abstract/v48/i05/0449.html

DOI: https://doi.org/10.15407/mfint.48.05.0449

PACS: 07.85.-m, 61.05.cc, 61.05.cp, 61.72.Dd, 61.72.J-, 61.72.Lk

Citation:  V. B. Molodkin , I. M. Fodchuk, A. R. Kuzmin, V. V. Dovganyuk, I. I. Hutsuliak, M. S. Solodkyi, R. A. Zaplitnyy, Ya. D. Garabazhiv, and V. V. Lizunov, Characterization of the Defect Structure of Crystalline Compounds by the Total Integrated-Reflectivity Method, Metallofiz. Noveishie Tekhnol., 48, No. 5: 449–462 (2026)


REFERENCES
  1. V. B. Molodkin and E. A. Tikhonova, Fiz. Met. Metalloved., 24: 385 (1967) (in Russian).
  2. V. B. Molodkin, S. I. Olikhovskii, and M. E. Osinovskii, Metallofizika, 5: 3 (1983) (in Russian).
  3. V. B. Molodkin, S. I. Olikhovskii, and M. E. Osinovskii, Metallofizika, 5: 112 (1983) (in Russian).
  4. V. B. Molodkin, S. I. Olikhovskii, E. N. Kislovskii, E. G. Len, and E. V. Pervak, phys. status solidi (b), 227: 429 (2001).
  5. M. A. Krivoglaz, Diffuznoe Rasseyanie Rentgenovskikh Luchey i Neitronov na Fluktuatsionnykh Neodnorodnostyakh v Neideal’nykh Kristallakh [Diffuse Scattering of X-Rays and Neutrons on Fluctuation Inhomogeneities in Non-Ideal Crystals] (Kiev: Naukova Dumka: 1984) (in Russian).
  6. M. A. Krivoglaz, Diffraction of X-Rays and Thermal Neutrons in Imperfect Crystals (Berlin–Heidelberg: Springer: 1992).
  7. V. M. Pylypiv, T. P. Vladimirova, I. M. Fodchuk, B. K. Ostafiychuk, Ye. M. Kyslovskyy, V. B. Molodkin, S. I. Olikhovskii, O. V. Reshetnyk, O. S. Skakunova, V. V. Lizunov, and O. Z. Garpul’, phys. status solidi (a), 208: 2558 (2011).
  8. V. B. Molodkin, S. I. Olikhovskii, S. V. Dmitriev, A. I. Nizkova, and V. V. Lizunov, Acta Cryst. A, 76: 45 (2020).
  9. V. B. Molodkin, S. I. Olikhovskii, S. V. Dmitriev, and V. V. Lizunov, Acta Cryst. A, 77: 433 (2021).
  10. V. V. Lizunov, V. B. Molodkin, S. V. Lizunova, N. G. Tolmachev, O. S. Skakunova, S. V. Dmitriev, B. V. Sheludchenko, S. M. Brovchuk, L. M. Skapa, R. V. Lekhnyak, V. V. Molodkin, and K. V. Fuzik, Progress in Physics of Metals, 15, Iss. 2: 55 (2014) (in Russian).
  11. V. V. Lizunov, V. B. Molodkin, S. V. Lizunova, N. G. Tolmachev, E. S. Skakunova, S. V. Dmitriev, B. V. Sheludchenko, S. M. Brovchuk, L. N. Skapa, R. V. Lekhnyak, and E. V. Fuzik, Metallofiz. Noveishie Tekhnol., 36, No. 7: 857 (2014) (in Russian).
  12. V. V. Lizunov, S. M. Brovchuk, A. I. Nizkova, V. B. Molodkin, S. V. Lizunova, B. V. Sheludchenko, A. I. Grankina, I. I. Rudnitska, S. V. Dmitriev, M. G. Tolmachev, R. V. Lekhnyak, L. M. Skapa, and N. P. Irkha, Metallofiz. Noveishie Tekhnol., 36, No. 9: 1271 (2014) (in Russian).
  13. S. I. Olikhovskii, V. B. Molodkin, E. G. Len, E. S. Skakunova, and S. V. Lizunova, Phys. Rev. B, 99: 235304 (2019).
  14. V. B. Molodkin, H. I. Nyzkova, V. V. Lizunov, N. G. Tolmachev, S. V. Dmitriev, L. I. Makarenko, O. V. Reshetnik, T. P. Vladimirova, Ya. V. Vasylyk, and I. N. Zabolotnyy, Metallofiz. Noveishie Tekhnol., 41, No. 12: 1677 (2019) (in Russian).
  15. V. B. Molodkin, H. I. Nyzkova, V. V. Lizunov, A. O. Bilots’ka, L. I. Makarenko, T. P. Vladimirova, O. V. Reshetnyk, Ya. V. Vasylyk, and Ye. A. Tsapko, Metallofiz. Noveishie Tekhnol., 44, No. 4: 595 (2020) (in Ukrainian).
  16. V. B. Molodkin, V. Yu. Storizhko, V. P. Kladko, V. V. Lizunov, A. I. Nizkova, O. Yo. Gudymenko, S. I. Olikhovskii, M. G. Tolmachev, S. V. Dmitriev, I. I. Demchyk, E. I. Bogdanov, and B. I. Hinko, Semiconductor Physics, Quantum Electronics and Optoelectronics, 24, No. 1: 5 (2021).
  17. V. B. Molodkin, V. Yu. Storizhko, V. P. Kladko, V. V. Lizunov, A. I. Nizkova, O. Yo. Gudymenko, S. I. Olikhovskii, M. G. Tolmachev, S. V. Dmitriev, I. I. Demchyk, E. I. Bogdanov, and B. I. Hinko, Semiconductor Physics, Quantum Electronics and Optoelectronics, 26, No. 1: 17 (2023).
  18. I. Fodchuk, A. Kuzmin, I. Hutsuliak, M. Solodkyi, V. Dovganyuk, O. Maslyanchuk, Y. Roman, R. Zaplitnyy, O. Gudymenko, V. Kladko, V. Molodkin, and V. Lizunov, Proc. of SPIE, 11369: 113691H (2020).
  19. O. Maslyanchuk, I. Fodchuk, M. Solovan, I. Boledzyuk, A. Kuzmin, V. Gnatyuk, and T. Aoki, Proc. of SPIE, 12126: 121260K (2021).
  20. I. M. Fodchuk, A. R. Kuzmin, O. L. Maslyanchuk, I. I. Hutsuliak, M. S. Solodkyi, Yu. T. Roman, M. M., Solovan, and O. Yo., Gudymenko, Phys. Chem. Solid State, 23, No. 1: 144 (2022).
  21. I. M. Fodchuk, A. R. Kuzmin, I. I. Hutsuliak, M. D. Borcha, and V. O. Kotsyubynsky, Semiconductor Physics, Quantum Electronics and Optoelectronics, 26, No. 4: 415 (2023).
  22. I. M. Fodchuk, A. R. Kuzmin, I. I. Gutsuliak, M. S. Solodkyi, O. L. Maslyanchuk, Yu. T. Roman, V. P. Kladko, O. Yo. Gudymenko, V. B. Molodkin, and V. V. Lizunov, Metallofiz. Noveishie Tekhnol., 43, No. 10: 1289 (2021) (in Ukrainian).
  23. V. V. Brus, O. L. Maslyanchuk, M. M. Solovan, P. D. Maryanchuk, I. M. Fodchuk, V. A. Gnatyuk, N. D. Vakhnyak, S. V. Melnychuk, and T. Aoki, Sci. Rep., 9, No. 1: 1065 (2019).
  24. O. Maslyanchuk, M. Solovan, V. Brus, P. Maryanchuk, E. Maistruk, I. Fodchuk, and V. Gnatyuk, Nucl. Instrum. Methods Phys. Res. A, 988: 164920 (2021).
  25. H. Shiraki, M. Funaki, Y. Ando, A. Tachibana, S. Kominami, and R. Ohno, IEEE Trans. Nucl. Sci., 56, Iss. 4: 1717 (2008).
  26. H. Shiraki, M. Funaki, Y. Ando, S. Kominami, K. Amemiya, and R. Ohno, IEEE Trans. Nucl. Sci., 57, Iss. 1: 395 (2010).
  27. V. B. Molodkin, H. I. Nyzkova, V. V. Lizunov, V. V. Molodkin, S. V. Dmitriev, L. I. Makarenko, O. S. Kononenko, I. I. Demchyk, and N. P. Irkha, Metallofiz. Noveishie Tekhnol., 40, No. 9: 1133 (2018) (in Russian).
  28. V. B. Molodkin, S. I. Olikhovskii, E. G. Len, Ye. M. Kyslovskyy, O. V. Reshetnyk, T. P. Vladimirova, B. V. Sheludchenko, E. S. Skakunova, V. V. Lizunov, E. V. Kochelab, I. M. Fodchuk, and V. P. Klad’ko, Metallofiz. Noveishie Tekhnol., 38, No. 1: 99 (2016).
  29. V. V. Lizunov, V. B. Molodkin, S. I. Olikhovskiy, S. V. Lizunova, N. G. Tolmachev, A. I. Nizkova, E. S. Skakunova, S. V. Dmitriev, B. V. Sheludchenko, T. G. Sych, E. V. Fuzik, R. V. Lekhnyak, and L. N. Skapa, Metallofiz. Noveishie Tekhnol., 37, No. 2: 265 (2015) (in Russian).
  30. V. V. Dovganyuk, I. M. Fodchuk, O. G. Gymchynsky, A. V. Oliynych-Lysyuk, Ye. M. Kyslovs’ky, A. O. Bilots’ka, T. P. Vladimirova, R. F. Seredenko, and Z. Swiantek, Metallofiz. Noveishie Tekhnol., 28, No. 10: 1291 (2006) (in Russian).