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Nonstoichiometry and superstructures


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

The way in which nonstoichiometry and order and disorder interrelate in solid phase compounds is discussed. Nonstoichiometry due to the presence of structural vacancies is widely found in such solid phase compounds as transition metal carbides, nitrides and oxides, and in related ternary interstitial compounds. It is shown that it is nonstoichiometry that determines the disordered or ordered distribution of atoms and vacancies. A review is given of the current status of research into disorder—order phase transitions in strongly nonstoichiometric cubic and hexagonal compounds. Symmetry analysis results for disorder—order and order—order phase transformations are considered in detail. Key superstructure types that form in nonstoichiometic compounds with vacancies in one or two sublattices are described.

Fulltext is available at IOP
PACS: 61.43.−j, 61.50.Ah, 61.50.Ks, 61.66.Fn, 61.72.jd, 61.72.jj (all)
DOI: 10.3367/UFNe.0184.201409a.0905
URL: https://ufn.ru/en/articles/2014/9/a/
Citation: Gusev A I "Nonstoichiometry and superstructures" Phys. Usp. 57 839–876 (2014)
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Received: 24th, October 2013, revised: 26th, November 2013, 27th, November 2013

Оригинал: Гусев А И «Нестехиометрия и сверхструктуры» УФН 184 905–945 (2014); DOI: 10.3367/UFNr.0184.201409a.0905

References (142) ↓ Cited by (27) Similar articles (20)

  1. 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)
  2. Gusev A I Nestekhiometriya, Besporyadok, Blizhnii i Dal’nii Poryadok v Tverdom Tele (M.: Fizmatlit, 2007)
  3. Gusev A I, Rempel A A Phys. Status Solidi A 163 273 (1997)
  4. Gusev A I, Rempel A A Materials Science Of Carbides, Nitrides, And Borides (NATO Science Ser. Partnership Sub-Ser. 3, High Technology) Vol. 38 (Eds Y G Gogotsi, R A Andrievski) (Dordrecht: Kluwer Acad. Publ., 1999) p. 47
  5. Gusev A I Usp. Fiz. Nauk 170 3 (2000); Gusev A I Phys. Usp. 43 1 (2000)
  6. Gusev A I, Rempel’ A A Nestekhiometriya, Besporyadok i Poryadok v Tverdom Tele (Ekaterinburg: UrO RAN, Institut khimii tverdogo tela, 2001)
  7. Rabenau A (Ed.) Problems Of Nonstoichiometry (Amsterdam: North-Holland, 1970)
  8. Richter J B Anfangsgründen Der Stöchiometrie Oder Messkunst Chemischer Elemente Vol. 1, 2 (Breslau: J.F. Korn dem Aeltern 1792, 1794)
  9. Kurnakov N S Izbrannye Trudy Vol. 1 - 3 (M.: Izd-vo AN SSSR, 1960 - 1963)
  10. Parthé E, Yvon K Acta Cryst. B 26 153 (1970)
  11. Gusev A I, Rempel’ A A Termodinamika Strukturnykh Vakansii v Nestekhiometricheskikh Fazakh Vnedreniya (Sverdlovsk: UNTs AN SSSR, 1987)
  12. Gusev A I, Rempel’ A A Strukturnye Fazovye Perekhody v Nestekhiometricheskikh Soedineniyakh (M.: Nauka, 1988)
  13. Gusev A I Fizicheskaya Khimiya Nestekhiometricheskikh Tugoplavkikh Soedinenii (M.: Nauka, 1991)
  14. Rempel’ A A Effekty Uporyadocheniya v Nestekhiometricheskikh Soedineniyakh Vnedreniya (Ekaterinburg: Nauka, 1992)
  15. Gusev A I, Rempel A A Phys. Status Solidi B 131 43 (1985)
  16. Gusev A I, Rempel A A Phys. Status Solidi B 140 335 (1987)
  17. Gusev A I Philos. Mag. B 60 307 (1989)
  18. Novotnyi G, Benezovskii F Metallovedenie. Struktura i svoistva stalei i splavov. Metallidy. Novye metody issledovaniya. Materialy Simpoziuma po metallurgii i metallovedeniyu, posvyashchennogo 100-letiyu otkrytiya D.K. Chernovym polimorfizma zheleza ( 14 - 18 maya 1968 g. , Otv. red. N V Ageev) (M.: Nauka, 1971) p. 315
  19. De Novion C H, Maurice V J. Physique Colloq. 38 C7-211 (1977)
  20. Khaenko B V Poroshkovaya Metallurgiya (1) 71 (1978)
  21. Khaenko B V Izv. AN SSSR Neorgan. mater. 15 1952 (1979)
  22. De Novion C H, Landesman J P Pure Appl. Chem. 57 1391 (1985)
  23. De Novion C H et al. The Physics And Chemistry Of Carbides, Nitrides, And Borides (NATO ASI Ser. Ser. E) Vol. 185 (Ed. R Freer) (Dordrecht: Kluwer Acad. Publ., 1990) p. 329
  24. Lipatnikov V N, Gusev A I Uporyadochenie v Karbidakh Titana i Vanadiya (Ekaterinburg: UrO RAN, In-t khimii tverdogo tela, 2000)
  25. Gusev A I Phys. Status Solidi B 163 17 (1991)
  26. Gusev A I, Rempel A A Phys. Status Solidi A 135 15 (1993)
  27. Rempel’ A A Usp. Fiz. Nauk 166 33 (1996); Rempel’ A A Phys. Usp. 39 31 (1996)
  28. Gusev A I Uspekhi Khimii 71 507 (2002); Gusev A I Russ. Chem. Rev. 71 439 (2002)
  29. Lipatnikov V N Uspekhi Khimii 74 768 (2005); Lipatnikov V N Russ. Chem. Rev. 74 697 (2005)
  30. Kovalev O V Neprivodimye Predstavleniya Prostranstvennykh Grupp (Kiev: Izd-vo AN USSR, 1961)
  31. Kovalev O V Neprivodimye i Indutsirovannye Predstavleniya i Kopredstavleniya Fedorovskikh Grupp (M.: Nauka, 1986); Kovalev O V Irreducible Representations Of The Space Groups (New York: Gordon and Breach, 1965)
  32. Gusev A I, Rempel’ A A Fiz. Tverd. Tela 26 3622 (1984); Gusev A I, Rempel’ A A Sov. Phys. Solid State 26 2178 (1984)
  33. Gusev A I, Rempel A A Phys. Status Solidi A 93 71 (1986)
  34. Gusev A I, Rempel A A J. Phys. C Solid State Phys. 20 5011 (1987)
  35. Naish V E, Syromyatnikov V N Kristallogr. 21 1085 (1976); Naish V E, Syromyatnikov V N Sov. Phys. Crystallogr. 21 627 (1976)
  36. Khachaturyan A G Teoriya Fazovykh Prevrashchenii i Struktura Tverdykh Rastvorov (M.: Nauka, 1974)
  37. Lipatnikov V N, Kottar A, Zueva L V, Gusev A I Fiz. Tverd. Tela 40 1332 (1998); Lipatnikov V N, Zueva L V, Gusev A I, Kottar A Phys. Solid State 40 1211 (1998)
  38. Goretzki H Phys. Status Solidi B 20 K141 (1967)
  39. Karimov I Izv. AN UzSSR Ser. fiz.-mat. nauk (4) 81 (1979)
  40. Arbuzov M P, Golub S Ya, Khaenko B V Izv. AN SSSR Neorgan. mater. 13 1779 (1977)
  41. Christensen A N, Alamo A, Landesman J P Acta Cryst. C 41 1009 (1985)
  42. Delmas C et al. Int. J. Inorg. Mater. 1 11 (1999)
  43. Peres J P, Weill F, Delmas C Solid State Ionics 116 19 (1999)
  44. Arroyo y de Dompablo M E, Ceder G J. Power Sources 119 - 121 654 (2003)
  45. Arai H et al. Solid State Ionics 80 261 (1995)
  46. Pickering I J et al. Solid State Ionics 53 - 56 405 (1992)
  47. Reimers J N, Li W, Dahn J R Phys. Rev. B 47 8486 (1993)
  48. Gusev A I Pis’ma ZhETF 79 183 (2004); Gusev A I JETP Lett. 79 148 (2004)
  49. Peres J P, Demourgues A, Delmas C Solid State Ionics 111 135 (1998)
  50. Gusev A I Pis’ma ZhETF 91 130 (2010); Gusev A I JETP Lett. 91 119 (2010)
  51. Gusev A I Fiz. Tverd. Tela 52 1804 (2010); Gusev A I Phys. Solid State 52 1935 (2010)
  52. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  53. Gusev A I Fiz. Tverd. Tela 32 2752 (1990); Gusev A I Sov. Phys. Solid State 32 1595 (1990)
  54. Gusev A I, Lipatnikov V N Pis’ma ZhETF 82 320 (2005); Gusev A I, Lipatnikov V N JETP Lett. 82 287 (2005)
  55. Lipatnikov V N, Gusev A I Fiz. Tverd. Tela 48 1546 (2006); Lipatnikov V N, Gusev A I Phys. Solid State 48 1634 (2006)
  56. Gusev A I, Kurlov A S, Lipatnikov V N J. Solid State Chem. 180 3234 (2007)
  57. Markhasev B I Izv. AN SSSR Neorgan. mater. 19 1997 (1983)
  58. Markhasev B I Izv. AN SSSR Neorgan. mater. 18 2001 (1982)
  59. Markhasev B I Izv. AN SSSR Neorgan. mater. 20 1652 (1984)
  60. Gusev A I, Rempel A A, Lipatnikov V N J. Phys. Condens. Matter 8 8277 (1996)
  61. Rempel’ A A, Lipatnikov V N, Gusev A I Dokl. Akad. Nauk SSSR 310 878 (1990); Rempel’ A A, Lipatnikov V N, Gusev A I Sov. Phys. Dokl. 35 103 (1990)
  62. Gusev A I, Rempel’ A A, Lipatnikov V N Fiz. Tverd. Tela 33 2298 (1991); Gusev A I, Rempel’ A A, Lipatnikov V N Sov. Phys. Solid State 33 1295 (1991)
  63. Gusev A I Zh. Eksp. Teor. Fiz. 136 486 (2009); Gusev A I JETP 109 417 (2009)
  64. Gusev A I, Kurlov A S Niobium: Chemical Properties, Applications And Environmental Effects (Eds M Segers, T Peeters) (New York: Nova Science Publ., 2013) p. 61
  65. Venables J D, Kahn D, Lye R G Philos. Mag. 18 177 (1968)
  66. Venables J D, Lye R G Philos. Mag. 19 565 (1969)
  67. Kahn D, Lye R G Bull. Am. Phys. Soc. 14 332 (1969)
  68. Karimov I Dokl. AN UzSSR Ser. fiz.-mat. nauk (2) 32 (1976)
  69. Karimov I Dokl. AN UzSSR Ser. fiz.-mat. nauk (4) 87 (1978)
  70. Cenzual K et al. Acta Cryst. B 47 433 (1991)
  71. Vainshtein B K Sovremennaya Kristallografiya T. 1 Simmetriya Kristallov. Metody Strukturnoi Kristallografii (M.: Nauka, 1979)
  72. Lipatnikov V N et al. J. Alloys Compounds 261 192 (1997)
  73. Kesri R, Hamar-Thibault S Acta Metallurg. 36 149 (1988)
  74. Berger T "Phase transformations in interstitial Pd-B alloys" PhD Thesis (Stuttgart: Univ. Stuttgart, 2005); Berger T http://hdl.handle.net/11858/00-001M-0000-0010-26B9-A
  75. Berger T G et al. Z. Kristallogr. 221 450 (2006)
  76. Gusev A I Zh. Eksp. Teor. Fiz. 140 112 (2011); Gusev A I JETP 113 96 (2011)
  77. Gusev A I Fiz. Tverd. Tela 53 1582 (2011); Gusev A I Phys. Solid State 53 1664 (2011)
  78. Billingham J, Bell P S, Lewis M H Philos. Mag. 25 661 (1972)
  79. Billingham J, Bell P S, Lewis M H Acta Cryst. A 28 602 (1972)
  80. Hiraga K Philos. Mag. 27 1301 (1973)
  81. Karimov I i dr. Izv. AN UzSSR Ser. fiz.-mat. nauk (4) 74 (1976)
  82. Rempel’ A A, Gusev A I Uporyadochenie v Nestekhiometricheskom Monokarbide Niobiya (Sverdlovsk: Ural’skii nauchnyi tsentr AN SSSR, In-t khimii, 1983)
  83. Rempel’ A A, Gusev A I, Zubkov V G, Shveikin G P Dokl. Akad. Nauk SSSR 275 883 (1984); Rempel’ A A, Gusev A I, Zubkov V A, Shveikin G P Sov. Phys. Dokl. 29 257 (1984)
  84. Rempel’ A A, Gusev A I Kristallogr. 30 1112 (1985); Rempel’ A A, Gusev A I Sov. Phys. Crystallogr. 30 648 (1985)
  85. Rempel A A, Gusev A I, Belyaev M Yu J. Phys. C Solid State Phys. 20 5655 (1987)
  86. Khaenko B V, Sivak O P Kristallogr. 35 1110 (1990)
  87. De Novion C H, Lorenzelli N, Costa P C.R. Acad. Sci. B 263 775 (1966)
  88. Alyamovskii S I i dr. Zhurn. Neorgan. Khimii 13 895 (1968); Alyamovskii S I et al. Russ. J. Inorgan. Chem. 13 895 (1968)
  89. Henfrey A W, Fender B E F Acta Cryst. B 26 1882 (1970)
  90. Athanassiadis T, Lorenzelli N, de Novion C H Ann. Chim. France 12 129 (1987)
  91. Rafaja D et al. J. Alloys Compounds 269 60 (1998)
  92. Lipatnikov V N, Gusev A I, Ettmayer P, Lengauer W J. Phys. Condens. Matter 11 163 (1999)
  93. Kurlov A S, Gusev A I Tungsten Carbides: Structure, Properties And Application In Hardmetals (Cham: Springer, 2013)
  94. Kurlov A S, Gusev A I Uspekhi Khimii 75 687 (2006); Kurlov A S, Gusev A I Russ. Chem. Rev. 75 617 (2006)
  95. Rudy E, Windisch S J. Am. Ceram. Soc. 50 272 (1967)
  96. Butorina L N, Pinsker Z G Kristallogr. 5 585 (1960); Butorina L N, Pinsker Z G Sov. Phys. Crystallogr. 5 560 (1960)
  97. Morton N et al. J. Less Common Met. 29 423 (1972)
  98. Yvon K, Nowotny H, Benesovsky F Monatsch. Chem. 99 726 (1968)
  99. Harsta A, Rundqvist S, Thomas J O Acta Chem. Scand. A 32 891 (1978)
  100. Gusev A I, Kurlov A S Pis’ma ZhETF 85 40 (2007); Gusev A I, Kurlov A S JETP Lett. 85 34 (2007)
  101. Lönnberg B, Lundström T, Tellgren R J. Less Common Met. 120 239 (1986)
  102. Dubois J et al. Acta Metallurg. 36 1891 (1988)
  103. Epicier T et al. Acta Metallurg. 36 1903 (1988)
  104. Epicier T et al. C.R. Acad. Sci. II 297 215 (1983)
  105. Kublii V Z, Velikanova T Ya, Khaenko B V Metallofizika Noveish. Tekhnolog. 21 (9) 26 (1999)
  106. Kublii V Z, Velikanova T Ya Poroshkovaya Metallurgiya (11 - 12) 101 (2004)
  107. Kurlov A S, Gusev A I Dokl. Ross. Akad. Nauk 417 616 (2007); Kurlov A S, Gusev A I Dokl. Phys. 52 656 (2007)
  108. Kurlov A S, Gusev A I Zh. Eksp. Teor. Fiz. 132 812 (2007); Kurlov A S, Gusev A I JETP 105 710 (2007)
  109. Kurlov A S, Gusev A I Phys. Rev. B 76 174115 (2007)
  110. Telegus V S, Gladyshevskii E I, Kripyakevich P I Kristallogr. 12 936 (1967)
  111. Telegus V S, Kuz’ma Yu B, Marko M A Poroshkovaya Metallurgiya (11) 56 (1971)
  112. Nozik Yu Z, Lipin Yu V, Kuvaldin B V Izv. AN Latv. SSR Ser. fiz.-tekhn. nauk (6) 30 (1968)
  113. Kublii V Z Poroshkovaya Metallurgiya (3 - 4) 46 (2000)
  114. Suetin D V i dr. Fiz. Tverd. Tela 50 1366 (2008); Suetin D V et al. Phys. Solid State 50 1420 (2008)
  115. Andersson S et al. Acta Chem. Scand. 11 1641 (1957)
  116. Watanabe D et al. Nature 210 934 (1966)
  117. Hilti E Naturwissenschaften 55 130 (1968)
  118. Hilti E, Laves F Naturwissenschaften 55 131 (1968)
  119. Terauchi H, Cohen J B, Reed T B Acta Cryst. A 34 556 (1978)
  120. Valeeva A A, Rempel’ A A, Gusev A I Pis’ma ZhETF 71 675 (2000); Valeeva A A, Rempel’ A A, Gusev A I JETP Lett. 71 460 (2000)
  121. Valeeva A A, Rempel’ A A, Gusev A I Neorgan. Mater. 37 716 (2001); Valeeva A A, Rempel A A, Gusev A I Inorg. Mater. 37 603 (2001)
  122. Gusev A I Pis’ma ZhETF 74 96 (2001); Gusev A I JETP Lett. 74 91 (2001)
  123. Valeeva A A, Tang G, Gusev A I, Rempel’ A A Pis’ma ZhETF 77 28 (2003); Valeeva A A, Tang G, Gusev A I, Rempel A A JETP Lett. 77 25 (2003)
  124. Watanabé D Acta Cryst. 23 307 (1967)
  125. Watanabé D et al. The Chemistry Of Extended Defects In Non-Metallic Solids (Eds L Eyring, M O’Keeffe) (Amsterdam: North-Holland, 1970) p. 238
  126. Gusev A I, Valeeva A A Pis’ma ZhETF 96 400 (2012); Gusev A I, Valeeva A A JETP Lett. 96 364 (2012)
  127. Gusev A I J. Solid State Chem. 199 181 (2013)
  128. Gusev A I Zh. Eksp. Teor. Fiz. 144 340 (2013); Gusev A I JETP 117 293 (2013)
  129. Westman S, Nordmark C Acta Chem. Scand. 14 465 (1960)
  130. Andersson B, Gjonnes J Acta Chem. Scand. 24 2250 (1970)
  131. Bell P S, Lewis M H Phys. Status Solidi A 7 431 (1971)
  132. Andersson B, Gjønnes J, Taftø J Acta Cryst. A 30 216 (1974)
  133. Gusev A I, Davydov D A Pis’ma ZhETF 88 119 (2008); Gusev A I, Davydov D A JETP Lett. 88 111 (2008)
  134. Davydov D A, Gusev A I Zh. Eksp. Teor. Fiz. 135 301 (2009); Davydov D A, Gusev A I JETP 108 267 (2009)
  135. Gusev A I, Davydov D A, Valeeva A A J. Alloys Compounds 509 1364 (2011)
  136. Cambini M, Pellergini G, Amelinckx S Mater. Res. Bull. 6 791 (1971)
  137. Hiraga K, Hirabayashi M J. Solid State Chem. 14 219 (1975)
  138. Galkin L N, Vavilova V V, Fykin L E Izv. AN SSSR Neorgan. mater. 13 1839 (1977)
  139. Arbuzov M P, Bugaichuk N T, Khaenko B V Dokl. AN USSR A (4) 307 (1979)
  140. Gusev A I, Davydov D A Pis’ma ZhETF 86 746 (2007); Gusev A I, Davydov D A JETP Lett. 86 657 (2007)
  141. Davydov D A, Gusev A I Fiz. Tverd. Tela 51 147 (2009); Davydov D A, Gusev A I Phys. Solid State 51 156 (2009)
  142. Davydov D A, Gusev A I Pis’ma ZhETF 91 306 (2010); Davydov D A, Gusev A I JETP Lett. 91 286 (2010)

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