Issues

 / 

2006

 / 

July

  



Short-range order and diffuse scattering in nonstoichiometric compounds


Institute of Solid State Chemistry, Urals Branch of the Russian Academy of Sciences, ul. Pervomayskaya 91, Ekaterinburg, 620219, Russian Federation

Diffraction studies of nonstoichiometric compounds have revealed a diverse range of diffuse scattering effects due to the short-range order induced by atom and vacancy substitution or by atomic displacements. In this paper, diffuse neutron and X-ray scattering data and electron diffraction data on short-range order in nonstoichiometric compounds are discussed. It is shown that the redistribution of non-metallic atoms and structural vacancies in disordered nonstoichiometric carbides, nitrides, and oxides produces diffuse intensity maxima in diffraction patterns, as does the redistribution of mutually substitutable metallic atoms in the solid solutions of nonstoichiometric compounds before long-range order sets in. A discussion is given of whether the cluster model of transition state is adequate for describing diffuse scattering intensity profile in a nonstoichiometric compound with substitutional short-range order. Flat extended diffuse scattering regions observed in the diffraction patterns of ordered phases and not passing through reciprocal lattice sites are discussed and shown to be due to the appearance of atomic displacement waves in the material.

Fulltext pdf (753 KB)
Fulltext is also available at DOI: 10.1070/PU2006v049n07ABEH005972
PACS: 61.10.−i, 61.12.−q, 61.66.Fn, 61.72.Ji (all)
DOI: 10.1070/PU2006v049n07ABEH005972
URL: https://ufn.ru/en/articles/2006/7/b/
000242169200002
2-s2.0-33751330602
2006PhyU...49..693G
Citation: Gusev A I "Short-range order and diffuse scattering in nonstoichiometric compounds" Phys. Usp. 49 693–718 (2006)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Гусев А И «Ближний порядок и диффузное рассеяние в нестехиометрических соединениях» УФН 176 717–743 (2006); DOI: 10.3367/UFNr.0176.200607b.0717

References (88) ↓ Cited by (26)

  1. Gusev A I, Rempel’ A A Nestekhiometriya, Besporyadok i Poryadok v Tverdom Tele (Ekaterinburg: Izd-vo UrO RAN, 2001)
  2. Gusev A I, Rempel A A, Magerl A J Disorder And Order In Strongly Nonstoichiometric Compounds: Transition Metal Carbides, Nitrides, And Oxides (Berlin: Springer, 2001)
  3. Gusev A I, Rempel’ A A Strukturnye Fazovye Perekhody v Nestekhiometricheskikh Soedineniyakh (M.: Nauka, 1988)
  4. Gusev A I Fizicheskaya Khimiya Nestekhiometricheskikh Tugoplavkikh Soedinenii (M.: Nauka, 1991)
  5. Rempel’ A A Effekty Uporyadocheniya v Nestekhiometricheskikh Soedineniyakh Vnedreniya (Ekaterinburg: Nauka, 1992)
  6. Gusev A I Uspekhi Khimii 57 1595 (1988)
  7. Gusev A I Phys. Status Solidi B 156 11 (1989)
  8. Nazarova S Z, Gusev A I Zhurn. Strukt. Khimii 42 563 (2001)
  9. Gusev A I, Nazarova S Z Usp. Fiz. Nauk 175 681 (2005); Gusev A I, Nazarova S Z Phys. Usp. 48 651 (2005)
  10. Krivoglaz M A, Smirnov A A Teoriya Uporyadochivayushchikhsya Splavov (M.: Fizmatgiz, 1958)
  11. Smirnov A A Teoriya Splavov Vnedreniya (M.: Nauka, 1979)
  12. Khachaturyan A G Teoriya Fazovykh Prevrashchenii i Struktura Tverdykh Rastvorov (M.: Nauka, 1974)
  13. Bethe H A Proc. R. Soc. London A 150 552 (1935)
  14. Cowley J M Phys. Rev. 77 669 (1950)
  15. Warren B E, Averbach B L, Roberts B W J. Appl. Phys. 22 1493 (1951)
  16. Krivoglaz M A Teoriya Rasseyaniya Rentgenovskikh Luchei i Teplovykh Neitronov Real’nymi Kristallami (M.: Nauka, 1967)
  17. Iveronova V I, Katsnel’son A A Blizhnii Poryadok v Tverdykh Rastvorakh (M.: Nauka, 1977)
  18. Gusev A I, Rempel A A Phys. Status Solidi A 84 527 (1984)
  19. Moisy-Maurice V et al. Solid State Commun. 39 661 (1981)
  20. Priem T "Etude de l’ordre a courte distance dans les carbures et nitrures non-stoechiometriques de metaux de transition par diffusion diffuse de neutrons" Rapport CEA-R-5499 (Gif-sur-Yvette: Commissariat a l’Energie Atomique, Centre d’Etudes Nucleaires de Saclay, 1989)
  21. Sparks C J, Borie B (Metallurgical Soc. Conf., Vol. 36, Eds J B Cohen, J E Hilliard) (New York: Gordon and Breach, 1966) p. 5
  22. Beuneu B et al. J. Appl. Crystallogr. 23 497 (1990)
  23. Sauvage M, Parthé E Acta Crystallogr. A 28 607 (1972)
  24. Sauvage M, Parthé E, Yelon W B Acta Crystallogr. A 30 597 (1974)
  25. Billingham J, Bell P S, Lewis M H Acta Crystallogr. A 28 602 (1972)
  26. De Novion C H, Maurice V J. Phys. (Paris) 38 C7-211 (1977)
  27. Fender B E F In Chemical Applications Of Thermal Neutron Scattering (London: Oxford Univ. Press, 1973) p. 250
  28. Priem T et al. Solid State Commun. 63 929 (1987)
  29. Priem T et al. Physica B 156 - 157 47 (1989)
  30. Priem T et al. J. Phys. (Paris) 50 2217 (1989)
  31. Priem T, Beuneu B, de Novion C H In X-ray And Neutron Structure Analysis In Materials Science (Ed. J Hašek) (New York: Plenum Press, 1989) p. 149
  32. De Novion C H et al. In The Physics And Chemistry Of Carbides, Nitrides, And Borides (NATO ASI Series. Ser. E, No. 185, Ed. R Freer) (Dordrecht: Kluwer Acad. Publ., 1990) p. 329
  33. Moisy-Maurice V "Structure atomique des carbures non-stoechiometriques de metaux de transition" Rapport CEA-R-5127 Gif-sur-Yvette: Commissariat a l’Energie Atomique, Centre d’Etudes Nucleaires de Saclay, 1981)
  34. Christensen A N J. Cryst. Growth 33 99 (1976)
  35. Buršík J, Weatherly G C Phys. Status Solidi A 174 327 (1999)
  36. Rempel’ A A, Gusev A I Fiz. Tverd. Tela 32 16 (1990)
  37. Rempel A A, Gusev A I Phys. Status Solidi B 160 389 (1990)
  38. Hiraga K, Hirabayashi M J. Phys. (Paris) Colloq. 38 C7-224 (1977)
  39. Castles J R, Cowley J M, Spargo A E C Acta Crystallogr. A 27 376 (1971)
  40. Terauchi H, Cohen J B Acta Crystallogr. A 35 646 (1979)
  41. Umanskii Ya S, Fadeeva V I Fiz. Met. Metalloved. 19 473 (1965)
  42. Umanskii Ya S, Fadeeva V I Fiz. Met. Metalloved. 20 719 (1965)
  43. Umanskii Ya S, Fadeeva V I Izv. AN SSSR. Neorgan. Mater. 2 82 (1966)
  44. Umanskii Ya S, Fadeeva V I Kristallogr. 11 130 (1966)
  45. Umanskii Ya S, Myuller A S Izv. Vuzov. Ser. Chernaya Metallurgiya (7) 130 (1969)
  46. Umanskii Ya S, Myuller A S Izv. Vuzov. Ser. Chernaya Metallurgiya (1) 128 (1970)
  47. Rudman P S Acta Metall. 12 1381 (1964)
  48. Gorbacheva T B Fiz. Met. Metalloved. 39 768 (1975)
  49. Katsnel’son A A, Gorbacheva T B Fiz. Met. Metalloved. 32 742 (1971)
  50. Katsnel’son A A, Gorbacheva T B, Rybal’chenko R V Fiz. Met. Metalloved. 34 211 (1972)
  51. Clapp P C, Moss S C Phys. Rev. 171 754 (1968)
  52. De Ridder R, van Tendeloo G, Amelinckx S Acta Crystallogr. A 32 216 (1976)
  53. De Ridder R et al. Phys. Status Solidi A 38 663 (1976)
  54. De Ridder R et al. Phys. Status Solidi A 40 669 (1977)
  55. De Ridder R In Diffraction And Imaging Techniques In Material Science (Eds S Amelinckx, R Gevers, J Van Landuyt) 2nd ed. (Amsterdam: North-Holland Publ. Co., 1978) p. 429
  56. Brunel M, de Bergevin F J. Phys. Chem. Solids 30 2011 (1969)
  57. Buršík J, Weatherly G C Phys. Status Solidi A 176 835 (1999)
  58. Sommerfeld A, Bethe H A In Handbuch Der Physik Vol. 24 2nd ed. (Berlin: Springer, 1933) p. 333
  59. Kellerman D G, Shalaeva E V, Gusev A I Fiz. Tverd. Tela 46 1633 (2004)
  60. Van Tendeloo G, Amelinckx S In The Chemistry Of Extended Defects In Non-Metallic Solids: Proc. Of The Inst. For Advanced Study, Scottsdale, Arizona, USA, 1969 (Eds L Eyring, M O’Keeffe) (Amsterdam: North-Holland Publ. Co., 1970) p. 97
  61. Murata Y, Yukawa N J. Less-Common Met. 141 235 (1988)
  62. Murata Y et al. J. Less-Common Met. 141 309 (1988)
  63. Ohshima K et al. Acta Crystallogr. A 44 167 (1988)
  64. Chevalier J-P A A, Stobbs W M Acta Metall. 24 535 (1976)
  65. Venables J D, Lye R G Philos. Mag. 19 565 (1969)
  66. Li P, Howe J M Acta Mater. 51 1261 (2003)
  67. Seitz F, Koehler J S In Solid State Physics. Advances In Research And Applications Vol. 2 (Eds F Seitz, D Turnbull) (New York: Academic Press, 1956) p. 305
  68. Morillo J, de Novion C H, Dural J Radiat. Eff. 55 67 (1981)
  69. Allison C Y, Stoller R E, Kenik E A J. Appl. Phys. 63 1740 (1988)
  70. Gosset D et al. Radiat. Eff. Defects Solids 118 207 (1991)
  71. Morillo J, Le T N, Jackierowicz G Ann. Chim. (France) 16 397 (1991)
  72. Shalaeva E V et al. J. Phys. (Paris) IV 16 C2-209 (1991)
  73. Shalaeva E V, Mitrofanov B V, Shveikin G P Phys. Status Solidi A 154 505 (1996)
  74. Shalaeva E V, Borisov S V, Makhnev A A v Sb. Khimiya Tverdogo Tela. Struktura, Svoistva i Primenenie Novykh Neorganicheskikh Materialov (Otv. red. G P Shveikin, A L Ivanovskii) (Ekaterinburg: Institut khimii tverdogo tela UrO RAN, 1998) p. 56
  75. Shalaeva E V et al. Thin Solid Films 261 64 (1995)
  76. Guinier A X-ray Diffraction In Crystals, Imperfect Crystals, And Amorphous Bodies (New York: Dover, 1994)
  77. Watanabe D et al. In The Chemistry Of Extended Defects In Non-Metallic Solids: Proc. Of The Inst. For Advanced Study, Scattsdale, Arizona, USA, 1969 (Eds L Eyring, M O’Keeffe) (Amsterdam: North-Holland Publ. Co., 1970) p. 238
  78. Bell P S, Lewis M H Phys. Status Solidi A 7 431 (1971)
  79. Valeeva A A i dr. Pis’ma ZhETF 77 28 (2003)
  80. Valeeva A A, Gusev A I Pis’ma ZhETF 79 579 (2004)
  81. Barman S R, Sarma D D Phys. Rev. B 49 16141 (1994)
  82. Gokhale S, Barman S R, Sarma D D Phys. Rev. B 52 14526 (1995)
  83. Leung C et al. Phys. Rev. B 54 7857 (1996)
  84. Valeeva A A, Rempel’ A A, Gusev A I Pis’ma ZhETF 73 702 (2001)
  85. Valeeva A A, Rempel’ A A, Gusev A I Dokl. Ross. Akad. Nauk 382 320 (2002)
  86. Gusev A I, Valeeva A A Fiz. Tverd. Tela 45 1185 (2003)
  87. Valeeva A A Fiz. Tverd. Tela 45 84 (2003)
  88. Cowley J M Diffraction Physics 3rd Ed. 3rd ed. (Amsterdam: Elsevier, 1995)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions