Skip to main content
SpringerLink
Log in
Book cover

Low-Dimensional Cooperative Phenomena pp 45–64Cite as

Magnetic Interactions In Linear Chain Crystals

  • Chapter

  • 72 Accesses

Part of the book series: Nato Advanced Study Institutes Series ((NSSB,volume 7))

Abstract

Several recent reviews1-5 summarize the physical properties of one-dimensional crystals based on either organic molecules or inorganic complexes. We focus here on magnetic properties and specifically exclude magnetic conductors, or one-dimensional “metals,” in which the approximation of localized moments fails. The crystals of interest are then magnetic insulators or semiconductors that contain linear arrays of localized moments, \({\vec S_n}\).

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Z. G. Soos, Ann. Rev. Phys. Chem., 25, (1974).

    Google Scholar 

  2. I. F. Shchegolev, Phys. Stat. Sol. (a), 12, 4 (1972).

    Article  Google Scholar 

  3. H. R. Zeller, Adv. Sol. State Phys., 13, 31 (1973).

    Article  CAS  Google Scholar 

  4. A. F. Garito and A. J. Heeger, Accounts of Chem. Research, (to be published).

    Google Scholar 

  5. D. W. Hone and P. M. Richards, Ann. Rev. Mat. Sci., 4, 337 (1974), L. J. DeJongh and A. R. Miedema, Adv. in Phys., 23, 1 (1974).

    Google Scholar 

  6. Z. G. Soos and D. J. Klein, “Charge Transfer in Solid State Complexes,” to be published in Molecular Interactions, ed. R. Foster, (Academic Press, New York, 1974 ). A compilation of Hubbard-model computations is given in Section IV, together with the application of Hubbard models to x-molecular CT crystals and their relation to molecular excitons.

    Google Scholar 

  7. J. Hubbard, Proc. R. Soc. Lond., A276, 238 (1963); A277, 237 (1964); A281, 401 (1964).

    Google Scholar 

  8. R. S. Mulliken, J. Am. Chem. Soc., 74, 811 (1952); R. S. Mulliken and W. B. Person, Molecular Complexes: A Lecture and Reprint Volume, ( Wiley, New York, 1969 ).

    Google Scholar 

  9. W. A. Seitz and D. J. Klein, Phys. Rev., B9, 2159 (1974).

    Article  Google Scholar 

  10. C. Herring, in Magnetism, Vol. II.B, (eds. G. T. Rado and H. Suhl, (Academic, New York, 1963) p. 1–185; P. M. Levy, Phys. Rev. 117, 509 (1969).

    Google Scholar 

  11. P. W. Anderson, Solid State Physics, Vol. 14, eds. F. Seitz and D. Turnbull, ( Academic, New York, 1963 ) p. 99–214.

    Google Scholar 

  12. R. L. Martin, in New Pathways in Inorganic Chemistry, eds. E. A. V. Ebsworth, A. G. Maddock, and A. G. Sharpe, ( Cambridge University Press, 1968 ) Chap. 9.

    Google Scholar 

  13. G. F. Kokoszka and G. Gordon, Transition Metal Chem., 5, 181 (1969).

    CAS  Google Scholar 

  14. W. E. Hatfield and R. Whyman, Transition Metal Chem., 5, 47 (1969).

    CAS  Google Scholar 

  15. A. P. Ginsberg, Inorg. Chim. Acta Rev., 5, 545 (1971).

    Google Scholar 

  16. E. Sinn, Coord. Chem. Rev., 5, 313 (1970).

    Google Scholar 

  17. A. Carrington and A. D. McLachlan, Introduction to Magnetic Resonance, (Harper and Row, New York, 1967 ). Any other basic texts in magnetic resonance may be used.

    Google Scholar 

  18. B. R. McGarvey, Trans. Metal Chem., 3, 90 (1966); P. W. Atkins and M. C. R. Symons, The Structure of Inorganic Radicals, ( Elsevier, Amsterdam, 1967 ).

    Google Scholar 

  19. A. Abragam and B. Bleaney, Electron Paramagnetic Resonance of Transition Ions, ( Clarendon, Oxford, 1970 ).

    Google Scholar 

  20. B. Bleaney and K. D. Bowers, Proc. R. Soc. Lond., A214, 451 (1952).

    Article  CAS  Google Scholar 

  21. J. N. Van Niekerk and F. R. L. Schoening, Acta Cryst., 6, 227 (1953); P. de Meester, S. R. Fletcher, and A. C. Skkpske, J. Chem. Soc., 2575 (1973); G. M. Brown and R. Chidambaram, Acta Cryst., B29, 2393 (1973).

    Google Scholar 

  22. J. S. Valentine, A. J. Silverstein, and Z. G. Soos, J. Am. Chem. Soc., 96, 97 (1974).

    Article  CAS  Google Scholar 

  23. B. Morosin, R. C. Hughes, and Z. G. Soos, Acta Cryst., (submitted).

    Google Scholar 

  24. B. Bleaney, Rev. Mod. Phys., 25, 161 (1953).

    Article  Google Scholar 

  25. P. L. Nordio, Z. G. Soos, and H. M. McConnell, Ann. Rev. Phys. Chem., 17, 237 (1966).

    Article  CAS  Google Scholar 

  26. F. H. Herbetein, in Perspectives in Structural Chemistry, Vol. IV, eds. J. D. Dunitz and J. A. Ibers, ( New York, 1971 ) p. 166–395.

    Google Scholar 

  27. J. L. De Boer and A. Vos, Acta Cryst., B28, 835; 839 (1972).

    Google Scholar 

  28. D. D. Thomas, A. W. Merkl, A. F. Hildebrandt, and H. M. McConnell, J. Chem. Phys., 40, 2588 (1964).

    Article  CAS  Google Scholar 

  29. D. B. Chesnut and W. D. Phillips, J. Chem. Phys., 35, 1002 (1963).

    Article  Google Scholar 

  30. W. J. Siemons, P. E. Bierstedt, and R. G. Kepler, J. Chem. Phys., 39, 3523 (1963).

    Article  CAS  Google Scholar 

  31. R. G. Kepler, J. Chem. Phys., 39, 3528 (1963).

    Article  CAS  Google Scholar 

  32. Y. Suzuki and Y. Lida, Bull. Chem. Soc. Japan, 46, 2056 (1973); Y. Iida, J. Chem. Phys., 59, 1607 (1972); Bull. Chem. Soc. Japan, 46, 320 (1972).

    Google Scholar 

  33. R. Lynden-Bell and H. M. McConnell, J. Chem. Phys., 37, 794 (1962); A. B. Harris, Phys. Rev., B8, 2166 (1973)

    Google Scholar 

  34. L. N. Bulaevskii, Soviet Phys. JETP, 17, 684 (1963); Z. G. Soos, J. Chem. Phys., 43, 1121 (1965); W. Duffy, Jr., and K. P. Barr, Phys.. Rev.,, 165, 647 (1968).

    Google Scholar 

  35. M. T. Jones and D. B. Chesnut, J. Chem. Phys., 38, 1311 (1963).

    Article  CAS  Google Scholar 

  36. M.A. Maréchal and H. M. McConnell, J. Chem. Phys., 43, 497 (1965).

    Article  Google Scholar 

  37. T. Hibma, P. Dupuis, and J. Kommandeur, Chem. Phys. Lett.. 15, 17 (1972).

    Article  Google Scholar 

  38. M. J. Hove, B. M. Hoffman, and J. A. Ibers, J. Chem. Phys., 56, 3490 (1972).

    Article  CAS  Google Scholar 

  39. Z. G. Soos, J. Chem. Phys., 46, 4284 (1967).

    Article  CAS  Google Scholar 

  40. Z. G. Soos and H. M. McConnell, J. Chem. Phys., 43, 3780 (1965).

    Article  CAS  Google Scholar 

  41. R. Lynden-Bell, Mol. Phys., 8, 71 (1964).

    Article  CAS  Google Scholar 

  42. R. Colton and J. H. Canterfoid, Halides of the First Row Transition Metals, ( Wiley-Interscience, London, 1969 ).

    Google Scholar 

  43. K. %Ikeda, S. Matsukawa, and T. Reseda, J. Phys. Soc. Japan, 30, 1330 (1971); W. Duffy, Jr., J. E. Venneman, 0. L. Strandburg, and P. M. Richards, Phys. Rev., B9, 2220 (1974).

    Google Scholar 

  44. R. C. Hughes, B. Morosin, P. M. Richards, and W. Duffy, Jr., (to be published).

    Google Scholar 

  45. B. Morosin and E. J. Graeber, Acta. Cryst., 23, 766 (1967).

    Article  CAS  Google Scholar 

  46. R. Kubo and K. Tornita, J. Phys. Soc. J.pan, 9, 888 (1954); P. W. Anderson, ibid, 9, 316 (1954).

    Google Scholar 

  47. T. Z. Huang, R. P. Taylor, and Z. G. Soon, Phys. Rev. Lett., 28, 1054 (1972).

    Article  CAS  Google Scholar 

  48. R. C. Hughes and Z. G. Soos, J. Chem. Phys., 48, 1066 (1968).

    Article  CAS  Google Scholar 

  49. R. C. Hughes, PhD Thesis, Stanford (1966), (unpublished). R. C. Hughes, A. W. Merkl, and H. M. McConnell, J. Chem. Pays., 44, 1720 (1966).

    CAS  Google Scholar 

  50. C. J. Fritchie, Jr., and P. Arthur, Jr., Acta Cryst., 21, 139 (1966); D. B. Chesnut and P. Arthur, Jr., J. Chem. Phys., 36, 2969 (1962).

    Google Scholar 

  51. D. N. Fedutin, I. F. Shchegolev, V. B. Stryukov, E. Yagubskii, A. V. Zvarykina, L. 0. Atovmyan, V. F. Kaminskii, and R. P. Shibaeva, Phys. Stat. Sol., (b) 48, 87 (1971).

    Article  CAS  Google Scholar 

  52. Z. G. Soos, J. Chem. Phys., 49, 2V93 (1968); P. J. Strebel and Z. G. Soos, ibid, 50, 2911 (1969).

    Google Scholar 

  53. B. M. Hoffman and R. C. Hughes, J. Chem. Phys., 52, 4011 (1970); Solid State Comm., 7, 895 (1969).

    Google Scholar 

  54. A. Abragam, The Principles of Nuclear Magnetism, (Clarendon, Oxford, 1961 ) Chap. IV and X.

    Google Scholar 

  55. R. E. Dietz, F. R. Merritt, R. Dingle, D. Hone, B. G. Silbernagel, and P. M. Richards, Phys. Rev. Lett., 26, 1186 (1971); M. J. Henessey, C. D. McElwee, and P. M. Richards, Phys. Rev., B7, 930 (1973).

    Google Scholar 

  56. Z. G. Soos, T. Z. Huang, J. S. Valentine, and R. C. Hughes, Phys. Rev., B8, 993 (1973); T. Z. Huang and Z. G. Soon, ibid, B9, 4981 (1974).

    Google Scholar 

  57. K. W. Plumlee, B. M. Hoffman, J. A. Ibers, and Z. G. Soos, (to be published).

    Google Scholar 

  58. A. J. Epstein, S. Etemad, A. F. Garito, and A. J. Heeger, Phys. Rev., B5, 952 (1972); L. B. Coleman, J. A. Cohen, A. F. Garito, and A. J. Heeger, ibid, B7, 2122 (1973).

    Google Scholar 

  59. S. Etemad and E. Ehrenfreund, Magnetism and Magnetic Materials, eds. C. D. Graham, Jr., and J. J. Rhyne, ( AIP, New York, 1972 ) p. 1449.

    Google Scholar 

  60. Y. Tomkiewicz, B. A. Scott, L. J. Tao, and R. S. Title, Phys. Rev. Lett., 32, 1363 (1974).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Chemistry, Princeton University Princeton, New Jersey, 08540, USA

    Zoltán G. Soos

Authors
  1. Zoltán G. Soos
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Anorganisch-Chemisches Institut der Universität, Heidelberg, Germany

    H. J. Keller

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer Science+Business Media New York

About this chapter

Cite this chapter

Soos, Z.G. (1975). Magnetic Interactions In Linear Chain Crystals. In: Keller, H.J. (eds) Low-Dimensional Cooperative Phenomena. Nato Advanced Study Institutes Series, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1399-2_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1399-2_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1401-2

  • Online ISBN: 978-1-4757-1399-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation