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Non-commensurate (misfit) layer structures

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Inorganic Chemistry

Part of the book series: Structure and Bonding ((STRUCTURE,volume 46))

Abstract

We consider incommensurate structures of the type which have two more or less independent, though modulated, sub-lattices derived from misfitting layers of two types, alternating regularly in the layer-stacking direction. These are the two-dimensional analogues of the so-called “chimney-ladder” structures (which are one-dimensional).

After an introductory discussion of such misfit structures, various terms that have previously been applied are reviewed, and degrees of incommensurability are used as the basis for a systematic nomenclature. The known structures of specific examples are then discussed: graphite intercalates; minerals with brucite-like layers as one component (koenenite, valleriite, tochilinites); silicates; heavy metal sulphides (cylindrite, incaite, franckeite, cannizzarite, lengenbachite, lanthanum-chromium sulphide); anion-excess, fluorite-related yttrium oxy-fluorides and related compounds.

A discussion of types of inter-layer bonding, layer types and layer matching is followed by a consideration of disorder in such structures, as well as symmetry aspects and some growth mechanisms. Structures transitional between this type of structure and commensurate structures, i.e. structures which are really non-commensurate layers joined at anti-phase boundaries which restore commensurability, are then considered and classified with a detailed consideration of known examples from inorganic chemistry and mineralogy. Finally, some broad, general conclusions are enumerated.

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References

  1. Allmann, R.: Chimia 24, 99 (1970)

    CAS  Google Scholar 

  2. Allmann, R., Lohse, H. H. and Hellner, E.: Z. Kristallogr. 126, 7 (1968)

    Article  Google Scholar 

  3. Anderson, J. S.: J. Chem. Soc. Dalton, 1107 (1973)

    Google Scholar 

  4. Andersson, S. and Hyde, B. G.: J. Solid State Chem. 9, 92 (1974)

    Article  CAS  Google Scholar 

  5. Asher, R. C.: J. Inorg. Nucl. Chem. 10, 238 (1959)

    Article  CAS  Google Scholar 

  6. Bärnighausen, H.: Proc. 12th Rare Earth Res. Conf. (ed. C. E. Lundin) 1, 404 (1976). Denver: Univ. of Denver

    Google Scholar 

  7. Bärnighausen, H. and Haschke, J. M.: Inorg. Chem. 17, 18 (1978)

    Article  Google Scholar 

  8. Berner, R. A.: Science, 137, 669 (1962)

    CAS  Google Scholar 

  9. Bevan, D. J. M.: pp. 749–759 in Solid State Chemistry (ed. R. S. Roth and S. J. Schneider), N.B.S. Special Publ. 364. Washington, D. C.: U.S. Government Printing Office (1972)

    Google Scholar 

  10. Bevan, D. J. M., Hoskins, B. F. and Mohyla, J.: 3rd European Crystallography Meet., Zürich (1976)

    Google Scholar 

  11. Bevan, D. J. M. et al.: 11th Australian Crystallography Conf. Bendigo (Vic.), Febr. 1978

    Google Scholar 

  12. Bevan, D. J. M. and Mann, A. W.: Acta Cryst. B31, 1406 (1975)

    Article  Google Scholar 

  13. Bollmann, W.: Crystal defects and crystalline interfaces. Berlin: Springer-Verlag (1970)

    Google Scholar 

  14. Brebrick, R. F.: pp. 183–195 in The chemistry of extended defects in non-metallic solids (ed. L. Eyring and M. O'Keeffe). Amsterdam: North-Holland (1969)

    Google Scholar 

  15. Brouwer, R. and Jellinek, F.: J. de Phys., Colloque C7, 38, C7 (1977)

    Google Scholar 

  16. Bursill, L. A. and Hyde, B. G.: Progr. Solid State Chem. 7, 177 (1972a)

    Article  CAS  Google Scholar 

  17. Bursill, L. A. and Hyde, B. G.: Nature Phys. Sci. 240, 122 (1972b)

    CAS  Google Scholar 

  18. Caro, P. E. and Corbett, J. D.: J. Less-Common Metals 18, 1 (1969)

    Article  CAS  Google Scholar 

  19. Chukhrov, F. V. et al.: Abstract in 8th All-Union Conf. on X-ray analysis of Mineral Raw Materials. Symp. on Phase Analysis. Moscow: IGEM ANSSSR (1979)

    Google Scholar 

  20. Clapp, P. C.: pp. 663–668 in The chemistry of extended defects in non-metallic solids (ed. L. Eyring and M. O'Keeffe). Amsterdam: North-Holland (1969)

    Google Scholar 

  21. Cowley, J. M. and Ibers, J. A.: Acta Cryst. 9, 421 (1956)

    Article  CAS  Google Scholar 

  22. Daly, J. J. and Sanz, F.: Acta Cryst. B31, 620 (1975)

    Article  Google Scholar 

  23. de Ridder, R., van Tendeloo, G. and Amelinckx, S.: Phys. Stat. Sol. (a) 33, 383 (1976)

    Google Scholar 

  24. Dornberger-Schiff, K.: Lehrgang über OD-Strukturen (+ Anhang). Berlin: Akademie-Verlag (1966)

    Google Scholar 

  25. Drits, V. A. and Sakharov, B. A.: Trudy Geol. Inst. Akad. Nauk. SSSR. 295, 256 pp. Moscow: Nauka (1976)

    Google Scholar 

  26. Ďurovič, S.: Acta Cryst. B30, 2214 (1974)

    Article  Google Scholar 

  27. Evans, E. L. and Thomas, J. M.: J. Solid State Chem. 14, 99 (1975)

    Article  CAS  Google Scholar 

  28. Evans, H. T. and Allmann, R.: Z. Kristallogr. 127, 73 (1968)

    Article  CAS  Google Scholar 

  29. Galy, J. and Roth, R. S.: J. Solid State Chem. 7, 277 (1973)

    Article  CAS  Google Scholar 

  30. Graham, A. R., Thompson, R. M. and Berry, L. G.: Am. Miner. 38, 536 (1953)

    CAS  Google Scholar 

  31. Grey, I.: Acta Cryst. B31, 45 (1975)

    Article  Google Scholar 

  32. Guiderow, D.: Acta Cryst. B34, 1804 (1978)

    Article  Google Scholar 

  33. Harris, D. C., Cabri, L. J. and Stewart, J. M.: Am. Miner. 55, 2110 (1970)

    CAS  Google Scholar 

  34. Harris, D. C. and Vaughan, D. J.: Am. Miner. 57, 1037 (1972)

    CAS  Google Scholar 

  35. Hockstra, A., Spoelder, T. and Vos, A.: Acta Cryst. B28, 14 (1972)

    Article  Google Scholar 

  36. Haschke, J. M: Inorg. Chem. 15, 298 (1976)

    Article  CAS  Google Scholar 

  37. Hofmann, W.: Z. Kristallogr. 92A, 161 (1935)

    CAS  Google Scholar 

  38. Hoggins, J. T. and Steinfink, H.: Acta Cryst. B33, 673 (1977)

    Article  Google Scholar 

  39. Hohlwein, D. and Metz, W.: Z. Kristallogr. 139, 279 (1974)

    Article  CAS  Google Scholar 

  40. Holmberg, B.: Acta Chem. Scand. 20, 1082 (1966)

    Article  CAS  Google Scholar 

  41. Hooley, J. G.: Mater. Sci. Eng. 31, 17 (1977)

    Article  CAS  Google Scholar 

  42. Huhma, M. et al.: Bull Geol. Soc. Finland 45, 103 (1973)

    Google Scholar 

  43. Hyde, B. G. et al.: Ann. Rev. Mater. Sci. 4, 43 (1974)

    Article  CAS  Google Scholar 

  44. Hyde, B. G. et al.: Prog. Solid State Chem., 12, 273 (1979)

    Article  CAS  Google Scholar 

  45. Iishi, K. et al.: Am Miner. 55, 2107 (1970)

    Google Scholar 

  46. Jambor, J. L.: Geol. Survey Canada Paper 76-1 B, 65 (1976)

    Google Scholar 

  47. Jeitschko, W. and Parthé, E.: Acta Cryst. 22, 417 (1967)

    Article  CAS  Google Scholar 

  48. Jellinek, F.: p. 758 in Solid State Chemistry (ed. R. S. Roth and S. J. Schneider); N. B. S. Special Publ. 364. Washington, D. C.: U.S. Government Printing Office (1972)

    Google Scholar 

  49. Jesser, W. A. and Kuhlmann-Wilsdorf, D.: Phys. star. sol. 21, 533 (1967)

    CAS  Google Scholar 

  50. Johnson, A. W. S.: paper I C-2 in: Electron Diffraction and The Nature of Defects in Crystals. Melbourne (Australia): Austr. Academy of Science (1965)

    Google Scholar 

  51. Johnson, A. W. S.: Acta Cryst. 23, 770 (1967)

    Article  CAS  Google Scholar 

  52. Johnson, C. K.: Amer. Cryst. Assoc. Meeting Abstracts, Ser. 2, 4, 32 (1976)

    Google Scholar 

  53. Johnson, C. K. and Watson, Ch. R.: J. Chem. Phys. 64, 2271 (1976)

    Article  CAS  Google Scholar 

  54. Jung, W. and Juza, R.: Zeit. anorg. allg. Chem. 399, 129 (1973 a)

    Article  CAS  Google Scholar 

  55. Jung, W. and Juza, R.: Zeit. anorg. allg. Chem. 399, 148 (1973 b)

    Article  CAS  Google Scholar 

  56. Karup-Møller, S. and Makovicky, E.: Neues Jb. Miner. 136, 310 (1979)

    Google Scholar 

  57. Kato, K., Kawada, I. and Takahashi, T.: Acta Cryst. B33, 3437 (1977)

    Article  Google Scholar 

  58. Kupčik, V. and Veselá-Nováková, L.: Tschermaks Mineral. Petrogr. Mitt. 14, 55 (1970)

    Article  Google Scholar 

  59. La Placa, S. J. et al.: Solid State Comm. 17, 635 (1975)

    Article  Google Scholar 

  60. Liebau, F.: Acta Cryst. B24, 690 (1968)

    Article  CAS  Google Scholar 

  61. Löchner, U., Bärnighausen, H. and Corbett, J. D.: Inorg. Chem. 16, 2134 (1977)

    Article  Google Scholar 

  62. Lüke, H. and Eick, H. A.: Proc. 12th Rare Earth Res. Conf. (ed. C. E. Lundin) I, 424. Denver: Univ. of Denver (1976)

    Google Scholar 

  63. Mackay, A. L.: p. 27 in The harvest of a quiet eye (ed. M. Ebison). Bristol: The Institute of Physics. [Quoting G. L. (Comte de) Buffon (1783–1788) Histoire naturelle des minéraux III. Paris.] (1977)

    Google Scholar 

  64. Magnéli, A.: Acta Cryst. 6, 495 (1953)

    Article  Google Scholar 

  65. Makovicky, E.: unpublished MS, McGill Univ., Montreal (1970)

    Google Scholar 

  66. Makovicky, E.: Am. Miner. 56, 353 (1971 a)

    Google Scholar 

  67. Makovicky, E.: Neues Jb. Miner. Mh., 403 (1971 b)

    Google Scholar 

  68. Makovicky, E.: Neues Jb. Miner. Mh., 235 (1974 a)

    Google Scholar 

  69. Makovicky, E.: Fortschritte der Mineralogie 52, Bh. 2, 49 (1974 b)

    Google Scholar 

  70. Makovicky, E.: Neues Jb. Miner. Abh., 126, 304 (1976)

    CAS  Google Scholar 

  71. Makovicky, E.: Neues Jb. Miner. Abh., 131, 187 (1977)

    CAS  Google Scholar 

  72. Makovicky, E. and Karup-Møller, S.: Neues Jb. Miner. Abh., 130, 264; 131, 56 (1977)

    CAS  Google Scholar 

  73. Makovicky, E., Mumme, W. G. and Watts, J. A.: Canad. Miner. 15, 339 (1977)

    Google Scholar 

  74. Mann, A. W. and Bevan, D. J. M.: J. Solid State Chem. 5, 410 (1972)

    Article  CAS  Google Scholar 

  75. Matzat, E.: Acta Cryst. B35, 133 (1979)

    Article  Google Scholar 

  76. Megaw, H. D.: Crystal structures: a working approach. Philadelphia: Saunders (1973)

    Google Scholar 

  77. Metz, W. and Hohlwein, D.: Carbon, 13, 87 (1975)

    Article  CAS  Google Scholar 

  78. Metz, W. and Schulze, E. J.: Z. Kristallogr. 142, 409 (1975)

    Article  Google Scholar 

  79. Mohyla, J.: Thesis, The Flinders Univ. of South Australia (1979)

    Google Scholar 

  80. Mozgova, N. N., Borodayev, Yu. S. and Organova, N. I.: pp. 43–64 in Inhomogeneity in minerals and fine mineral mixtures (ed. F. V. Chukhrov and N. V. Petrovskaya). Moscow: Izd. Nauka (1977)

    Google Scholar 

  81. Mozgova, N. N., Borodayev, Yu. S. and Sveshnikova, O. L.: Dokl. Akad. Nauk U.S.S.R. 220, 191 (1975)

    CAS  Google Scholar 

  82. Mumme, W. G.: Am. Miner. 60, 548 (1975)

    CAS  Google Scholar 

  83. Mumme, W. G.: Am. Miner. 61, 839 (1976)

    CAS  Google Scholar 

  84. Muramatsu, Y., Nambu, N. and Takeuchi, T.: J. Japan Ass. Min. Petr. Econ. Geol. 70, 236 (1975)

    CAS  Google Scholar 

  85. Myers, R. J.: Thesis, Univ. of Melbourne (1976)

    Google Scholar 

  86. Nabarro, F. R. N.: Theory of crystal dislocations, pp. 32, 33. Oxford: Clarendon (1967)

    Google Scholar 

  87. Nickel, E. H. and Hudson, D. R.: Contrib. Mineral Petrol. 55, 265 (1976)

    Article  CAS  Google Scholar 

  88. Niizeki, N. and Buerger, M. J.: Z. Kristallogr. 109, 129 (1957)

    Article  CAS  Google Scholar 

  89. Nowacki, W.: Neues Jb. Miner. Mh., 69 (1968)

    Google Scholar 

  90. Nowacki, W. and Stalder, H. A.: Schweiz. Min. Petr. Mitt. 49, 97 (1969)

    CAS  Google Scholar 

  91. Nuffield, E. W.: Trans. Roy. Soc. Canada, 3rd Ser. 38, Sect. IV-Geol. Sci. and Mineral., 59 (1944)

    Google Scholar 

  92. Oftedal, I.: Z. Phys. Chem. 134, 301 (1928)

    CAS  Google Scholar 

  93. Okamura, K., Iwasaki, H. and Ogawa, S.: J. Phys. Soc. Japan, 21, 1616 (1966)

    Article  CAS  Google Scholar 

  94. Okamura, K., Iwasaki, H. and Ogawa, S.: J. Phys. Soc. Japan, 24, 569 (1968)

    Article  CAS  Google Scholar 

  95. O'Keeffe, M. and Hyde, B. G.: Phil. Trans. Roy. Soc. Lond., A 295, 553 (1979)

    Article  Google Scholar 

  96. Organova, N. I., Drits, V. A. and Dmitrik, A. L.: Kristallografiya, 17, 761 (1972)

    CAS  Google Scholar 

  97. Organova, N. I., Drits, V. A. and Dmitrik, A. L.: Kristallografiya, 18, 966 (1973 a)

    CAS  Google Scholar 

  98. Organova, N. I., Drits, V. A. and Dmitrik, A. L.: Dokl. Akad. Nauk SSSR 212, 192 (1973 b)

    CAS  Google Scholar 

  99. Organova, N. I., Drits, V. A. and Dmitrik, A. L.: Am Miner. 59, 190 (1974)

    CAS  Google Scholar 

  100. Organova, N. I. et al.: Zap. Vses. Min. Obschch., No. 4, 100 (1971)

    Google Scholar 

  101. Papiernik, R., Mercurio, D. and Frit, B.: Acta Cryst. B36, 1769 (1980)

    Article  Google Scholar 

  102. Roether, U.: Thesis, Univ. of Freiburg (1967)

    Google Scholar 

  103. Rösch, H. and Hellner, E.: Naturwiss. 46, 2 (1959)

    Article  Google Scholar 

  104. Roth, R. S. et al.: pp. 183–195 in Solid State Chemistry (ed. R. S. Roth and S. J. Schneider); N.B.S. Special Publ. 364. Washington, D. C.: U.S. Government Printing Office (1972)

    Google Scholar 

  105. Rüdorff, W. and Schulz, H.: Zeit. anorg. allg. Chem. 245, 121 (1940)

    Article  Google Scholar 

  106. Rüdorff, W. and Schulze, E.: Zeit. anorg. allg. Chem. 277, 156 (1954)

    Article  Google Scholar 

  107. Ruff, O. and Bretschneider, O.: Z. anorg. allg. Chem. 217, 1 (1934)

    Article  CAS  Google Scholar 

  108. Šćavničar, S.: Z. Kristallogr. 114, 85 (1960)

    Article  Google Scholar 

  109. Smith, D. K. and Newkirk, H. W.: Acta Cryst. 18, 983 (1965)

    Article  CAS  Google Scholar 

  110. Springer, G.: Neues Jb. Miner. Mh., 252 (1968)

    Google Scholar 

  111. Srikrishnan, T. and Nowacki, W.: Z. Kristallogr. 140, 114 (1974)

    Article  CAS  Google Scholar 

  112. Takagi, J. and Takeuchi, Y.: Acta Cryst. B28, 649 (1972)

    Article  CAS  Google Scholar 

  113. Takeda, H. and Donnay, J. D. H.: Acta Cryst. 19, 474 (1965)

    Article  CAS  Google Scholar 

  114. Takeuchi, Y. and Takagi, J.: Proc. Japan Acad. Sci. 50, 843 (1974)

    CAS  Google Scholar 

  115. Taylor, H. F. W.: Mineralogical Magazine (London), 39, 377 (1973)

    CAS  Google Scholar 

  116. van Tendeloo, G. et al.: Phys. Stat. Sol. (a) 25, 697 (1974)

    Google Scholar 

  117. Wadsley, A. D.: Acta Cryst. 5, 676 (1952)

    Article  CAS  Google Scholar 

  118. Wadsley, A. D.: Acta Cryst. 8, 165 (1955)

    Article  CAS  Google Scholar 

  119. Wolfe, C. W.: Am. Miner. 23, 790 (1938)

    CAS  Google Scholar 

  120. Zoltai, T.: Systematics of simple sulphide structures. Minneapolis: Univ. of Minnesota (1974)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mineralogy, University of Copenhagen, Øster Voldgade 5, DK-1350, Copenhagen K, Denmark

    E. Makovicky

  2. Research School of Chemistry, The Australian National University, P.O. Box 4, 2600, Canberra, A.C.T., Australia

    B. G. Hyde

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  1. E. Makovicky
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  2. B. G. Hyde
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© 1981 Springer-Verlag

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Makovicky, E., Hyde, B.G. (1981). Non-commensurate (misfit) layer structures. In: Inorganic Chemistry. Structure and Bonding, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10655-3_3

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  • DOI: https://doi.org/10.1007/3-540-10655-3_3

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