Issues »  Volume 10, Issue 3

Integral Multiparameter Diffractometry of Nanosystems on the Basis of Effects of Multiplicity of Diffuse Scattering

A. P. Shpak$^{1}$, M. V. Kovalchuk$^{2}$, V. B. Molodkin$^{1}$, V. L. Nosik$^{2}$, S. V. Dmitriev$^{1}$, E. G. Len$^{1}$, S. J. Olikhovskyi$^{1}$, G. I. Nyzkova$^{1}$, V. V. Molodkin$^{1}$, K. V. Pervak$^{1}$, A. A. Katasonov$^{1}$, L. I. Ninichuk$^{1}$, A. V. Melnyk$^{1}$

$^1$G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^2$A.V. Shubnikov Institute of Crystallography of RAS, 59 Leninskiy Ave., 119333 Moscow, Russia

Received: 06.08.2009. Download: PDF

The generalized dynamical theory of Bragg and diffuse scatterings of x-rays in crystals with defects of several types is presented in a given article. Expressions for differential and integrated scattering intensities, which connect them with characteristics of defects in crystals, are considered in cases of Bragg and Laue geometries. Extinction effects due to scatterings on defects without limitation of their sizes are described in coherent and diffuse scatterings at small and large effects of diffuse extinction for differential and integrated coefficients of extinction due to multiple scattering on fluctuating deviations from the periodicity of crystal lattices. New physical conception is created and based on the built dynamical theory, at its comparison with kinematic one, that allowed to discover and analyse in detail the physical nature of discovered effects, which stipulate the principal limit of informativity of kinematic scattering, on the one hand, and the radical increasing of informativity in case of dynamical diffraction, on the other hand. As shown, this increase of informativity is caused by discovered effect of significant dependence of the character of defects’ influence to dynamical scattering on diffraction conditions that is absent in kinematic case. Unique diagnostic facilities of created integral diffuse-dynamical combined diffractometry (IDDCD) are shown. They are caused by this effect and by series of consequences from it. Particularly, qualitatively new possibilities of carrying out of multiparameter diagnostics of materials and products of nanotechnologies are shown. In addition, the models of high-informative IDDCD are created on the basis of developed theory for analysis of both the intensities’ leap near $K$-edge of extinction and the deviations from Friedel low as well as their deformation and thickness dependences. The experimental test of developed models is carried out.

Keywords: crystals with defects, coherent and diffuse scattering, kinematic and dynamic pattern of scattering, nondestructive multiparametric diagnostics.

PACS: 07.85.Jy, 61.05.cc, 61.05.cf, 61.05.cp, 61.46.Hk, 61.72.Dd, 81.07.Bc

DOI: https://doi.org/10.15407/ufm.10.03.229

Citation: A. P. Shpak, M. V. Kovalchuk, V. B. Molodkin, V. L. Nosik, S. V. Dmitriev, E. G. Len, S. J. Olikhovskyi, G. I. Nyzkova, V. V. Molodkin, K. V. Pervak, A. A. Katasonov, L. I. Ninichuk, and A. V. Melnyk, Integral Multiparameter Diffractometry of Nanosystems on the Basis of Effects of Multiplicity of Diffuse Scattering, Usp. Fiz. Met., 10, No. 3: 229—281 (2009) (in Russian), doi: 10.15407/ufm.10.03.229

References (54)  
  1. W. C. Röntgen, Nobel Lectures. Physics 1901–1921 (Amsterdam: Elsevier Publishing Co.: 1967).
  2. M. Von Laue, Rontgenstrahlinterferezen (Leipzig: Akademishe Verlagsges: 1948), p. 410.
  3. C. Hammond, The Basics of Crystallography and Diffraction. 2nd Ed. (London: Oxford University Press: 2001), p. 320.
  4. R. W. James, Solid State Phys., 15: 55 (1963). Crossref
  5. B. W. Batterman and H. Cole, Rev. Mod. Phys., 36: 681 (1964). Crossref
  6. A. I. Akhiezer, I. Ya. Pomeranchuk, Nekotorye voprosy teorii yadra (OGIZ: 1948).
  7. M. A. Krivoglaz, X-Ray and Neutron Diffraction in Nonideal Crystals (Berlin: Springer: 1996), p. 466. Crossref
  8. V. B. Molodkin, E. A. Tikhonova, Fiz. Met. Metalloved., 24, No. 3: 385 (1967).
  9. V. B. Molodkin, Fiz. Met. Metalloved., 25, No. 3: 410 (1968).
  10. V. B. Molodkin, Fiz. Met. Metalloved., 27, No. 4: 582 (1969).
  11. V. B. Molodkin, Metallofizika, 2, No. 1: 3 (1980).
  12. V. B. Molodkin, Phys. Metals, 3: 615 (1981).
  13. V. B. Molodkin, S. I. Olikhovskii, and M. E. Osinovskii, Phys. Metals, 5: 1 (1984).
  14. V. B. Molodkin, S. I. Olikhovskii, and M. E. Osinovskii, Phys. Metals, 5: 847 (1985).
  15. V. V. Kochelab, V. B. Molodkin, S. I. Olikhovskii, and M. E. Osinovskii, Phys. Status Solidi A, 108, No. 1: 67 (1988). Crossref
  16. L. I. Datsenko, V. B. Molodkin, M. E. Osinovskiy, Dinamicheskoe rasseyanie rentgenovskikh luchey real'nymi kristallami (Kiev: Naukova dumka: 1988), s. 200.
  17. V. B. Molodkin, S. I. Olikhovskii, E. N. Kislovskii, E. G. Len et al., Phys. Status Solidi B, 227, No. 2: 429 (2001). Crossref
  18. S. I. Olikhovskii, V. B. Molodkin, E. N. Kislovskii, E. G. Len et al., Phys. Status Solidi B, 231, No. 1: 199 (2002). Crossref
  19. S. I. Olikhovskiy, V. B. Molodkin, O. S. Kononenko, A. A. Katasonov et al., Metallofiz. noveyshie tekhnol., 29, No. 7: 887 (2007).
  20. S. I. Olikhovskiy, V. B. Molodkin, O. S. Kononenko, A. A. Katasonov et al., Metallofiz. noveyshie tekhnol., 29, No. 9: 1225 (2007).
  21. S. I. Olikhovskiy, V. B. Molodkin, A. I. Nizkova, O. S. Kononenko et al., Metallofiz. noveyshie tekhnol., 29, No. 10: 1333 (2007).
  22. V. B. Molodkin, A. I. Nizkova, A. P. Shpak, V. F. Machulin et al., Difraktometriya nanorazmernykh defektov i geterosloev kristallov (Kiev: Akademperiodika: 2005).
  23. V. B. Molodkin, M. V. Kovalchuk, A. P. Shpak, S. I. Olikhovskii et al. Diffuse Scattering and the Fundamental Properties of Materials (New Jersey: Momentum Press: 2009), p. 401.
  24. A. P. Shpak, M. V. Koval'chuk, I. M. Karnaukhov, V. V. Molodkin et al., Uspehi Fiziki Metallov, 9, No. 3: 305 (2008). Crossref
  25. A. P. Shpak, M. V. Koval'chuk, G. І. Nizkova, І. V. Gіn'ko ta іn., Sposіb bagatoparametrichnoї strukturnoї dіagnostiki monokristalіv z dekіl'koma tipami defektіv (Patent Ukraїni No. 36075) (Zareєstrovano v Derzhavnomu reєstrі patentіv Ukraїni na vinakhodi 10 zhovtnya 2008).
  26. A. N. Bagov, Yu. A. Dinaev, A. A. Dyshekov, T. I. Oranova et al., Rentgenodifraktsionnaya diagnostika uprugo-napryazhennogo sostoyaniya nanogeterostruktur (Nal'chik: Kab.-Balk. un-t: 2008), s. 206.
  27. A. P. Shpak, V. B. Molodkin, S. I. Olikhovskii, Ye. M. Kyslovskyy et al., Phys. Status Solidi A, 204, No. 8: 2651 (2007). Crossref
  28. V. B. Molodkin, S. I. Olikhovskii, E. N. Kislovskii, I. M. Fodchuk et al., Phys. Status Solidi A, 204, No. 8: 2606 (2007). Crossref
  29. Z. G. Pinsker, Rentgenovskaya kristallooptika (Moskva: Nauka: 1982).
  30. E. A. Tikhonova, Fiz. Tverdogo Tela, 9, No. 2: 516 (1967).
  31. P. H. Dederichs, Phys. Rev. B, 1, No. 4: 1306 (1970). Crossref
  32. V. V. Nemoshkalenko, V. B. Molodkin, S. I. Olikhovskiy, E. N. Kislovskiy et al., Metallofiz. Noveishie Tekhnol., 22, No. 2: 51 (2000).
  33. S. Y. Olіkhovs'kiy, Є. M. Kislovs'kiy, V. B. Molodkіn, Є. G. Len' ta іn., Metallofiz. Noveishie Tekhnol., 22, No. 6: 3 (2000).
  34. V. G. Bar'yakhtar, E. N. Gavrilova, V. B. Molodkin, S. I. Olikhovskiy, Metallofizika, 14, No. 11: 68 (1992).
  35. V. V. Nemoshkalenko, V. B. Molodkin, S. I. Olikhovskii, M. V. Kovalchuk et al., Nucl. Instrum. and Meth. in Physics Research A, 308, No. 1: 294 (1991). Crossref
  36. V. B. Molodkin, S. I. Olikhovskiy, S. V. Dmitriev, E. G. Len' et al., Metallofiz. Noveishie Tekhnol., 28, No. 7: 953 (2006).
  37. V. B. Molodkin, S. V. Dmitriev, E. V. Pervak, A. A. Belotskaya et al., Metallofiz. Noveishie Tekhnol., 28, No. 8: 1047 (2006).
  38. A. P. Shpak, V. B. Molodkin, S. V. Dmitriev, E. V. Pervak et al., Metallofiz. Noveishie Tekhnol., 30, No. 9: 1189 (2008).
  39. L. I. Datsenko, E. N. Kislovskiy, UFZh, 20, No. 5: 810 (1975).
  40. L. I. Datsenko, E. N. Kislovsky, and I. V. Prokopenko, UFZh, 22: 513 (1977).
  41. V. B. Molodkin, G. I. Gudzenko, S. I. Olikhovskiy, M. E. Osinovskiy, Metallofizika, 5, No. 3: 10 (1983).
  42. V. B. Molodkin, S. I. Olikhovskiy, M. E. Osinovskiy, A. N. Gureev et al., Metallofizika, 6, No. 2: 18 (1984).
  43. V. B. Molodkin, S. I. Olikhovskiy, M. E. Osinovskiy, A. N. Gureev et al., Metallofizika, 6, No. 3: 105 (1984).
  44. V. B. Molodkin, S. I. Olikhovskii, M. E. Osinovskii, A. N. Gureev et al., Phys. Status Solidi A, 87, No. 2: 597 (1985). Crossref
  45. V. V. Nemoshkalenko, V. B. Molodkin, E. N. Kislovskii, and M. T. Kogut, Metallofizika, 16, No. 2: 48 (1994).
  46. A. P. Shpak, V. B. Molodkin, A. I. Nizkova, Uspehi Fiziki Metallov, 5, No. 1: 51 (2004).
  47. A. I. Nizkova, V. B. Molodkin, I. A. Moskovka, Metallofiz. Noveishie Tekhnol., 26, No. 6: 783 (2004).
  48. A. P. Shpak, V. B. Molodkin, A. I. Nizkova, Uspehi Fiziki Metallov, 5, No. 1: 51 (2004).
  49. V. B. Molodkin, V. V. Nemoshkalenko, A. I. Nizkova, S. I. Olikhovskiy et al., Metallofiz. Noveishie Tekhnol., 22, No. 3: 3 (2000).
  50. V. B. Molodkin, S. I. Olikhovskiy, S. V. Dmitriev, E. G. Len' et al., Metallofiz. Noveishie Tekhnol., 27, No. 12: 1659 (2005).
  51. V. B. Molodkin, S. I. Olikhovskii, E. N. Kislovskii, T. P. Vladimirova et al., Phys. Rev. B, 78: 224109 (2008). Crossref
  52. A. P. Shpak, V. B. Molodkin, M. V. Koval'chuk, V. L. Nosik et al., Metallofiz. Noveishie Tekhnol., 31, No. 5: 615 (2009).
  53. A. P. Shpak, V. B. Molodkin, M. V. Koval'chuk, V. L. Nosik et al., Metallofiz. Noveishie Tekhnol., 31, No. 7: 927 (2009).
  54. A. P. Shpak, V. B. Molodkin, M. V. Koval'chuk, V. L. Nosik et al., Metallofiz. Noveishie Tekhnol., 31, No. 8: 1041 (2009).
Cited By (2)
  1. V. B. Molodkin, A. P. Shpak, M. V. Kovalchuk, V. L. Nosik et al., Crystallogr. Rep. 55, 1122 (2010).
  2. V. B. Molodkin, M. V. Kovalchuk, V. F. Machulin, Eh. H. Muhamedjanov et al., Usp. Fiz. Met. 12, 295 (2011).

© 2013–2018 "G.V. Kurdyumov Institute for Metal Physics"