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Behaviour of Interacting Protons: The Average-Mass Approach to its Study and its Possible Biological Relevance

  • G. Aiello
  • M. S. Micciancio-Giammarinaro
  • M. B. Palma-Vittorelli
  • M. U. Palma

Abstract

Among all other kinds of ions occurring in the solid, liquid and living states of matter, positive hydrogen ions (which we shall henceforth call protons for brevity) are singled out by their exceptionally small mass. This is the reason for their specific property of tunnelling through potential barriers, which in turn is responsible for such properties as hydrogen bonding. This is also responsible for the unique properties exhibited in many cases by (sub)systems of interacting protons. Examples are the intriguing properties of liquid water and ice [1]; the para-ferroelectric transition in hydrogen-bonded ferroelectrics [2]; the cooperative transitions in ammonium salts [3] and in hexamine halides [4]; a variety of “transitions” observed in organic compounds [5] and many others. In all these cases the interaction among protons prevails over that existing between protons and heavier atoms. This makes the protons behave as a (sub)system having its own properties and characteristics, determining the macroscopic properties of the system as a whole. In a way, this (sub)system is similar to that of electrons in a conductor, even if the energy-band approach is not applicable.

Keywords

Isotopic Effect Ammonium Salt Water Proton Hysteretic Loop Interact Proton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References and Notes

  1. 1.
  2. 1. a)
    Dorsey, N. E. (Editor): Properties of Ordinary Water-Substance. New York: Hafner 1968 (reprinted).Google Scholar
  3. 1. b)
    Eisenberg, D., Kauzmann, W.: The Structure and Properties of Water. Oxford: Univ. Press 1969.Google Scholar
  4. 1. c)
    Némethy, G,: Ann. Ist. Sup. Sanità (Rome) 6 (1970). Special Issue [in English].Google Scholar
  5. 1. d)
    Riehl, N., Bullemer, B., Engelhardt, H. (Editors): Physics of Ice. New York: Plenum Press 1969.Google Scholar
  6. 2.
  7. 2. a)
    Fatuzzo, E., Merz, W.J.: Ferroelectricity. Amsterdam: North-Holland Publishing Co. 1967.Google Scholar
  8. 2. b)
    Känzig, W.: Ferroelectrics and Antiferroelectrics. London: Academic Press 1967.Google Scholar
  9. 2. c)
    Blinc, R.: Phys. Rev. 147, 430 (1966).ADSCrossRefGoogle Scholar
  10. 2. d)
    Cummins, Z. M., Brody, E. M.: Phys. Rev. Letters 21, 1263 (1968).ADSCrossRefGoogle Scholar
  11. 2. e)
    Fujiwara, T.: J. Phys. Soc. Japan 29, 1282 (1970).ADSCrossRefGoogle Scholar
  12. 3. a)
    Gutowsky, M. S., Pake, G. E., Bershon, R.: J. Chem. Phys. 22, 643, 651 (1954).ADSCrossRefGoogle Scholar
  13. 3. b)
    Freund, L, Kopf, L.: Phys. Rev. Letters 24, 1017 (1970).ADSCrossRefGoogle Scholar
  14. 3. c)
    Schumaker, N. E., Garland, C. W.: J. Chem. Phys. 53, 392 (1970).ADSCrossRefGoogle Scholar
  15. 4. a)
    Palma-Vittorelli, M. B., Palma, M. U., Drewes, G. W. J., Koerts, W.: Physica 26, 922 (1960).ADSCrossRefGoogle Scholar
  16. 4. b)
    Kim, P. H.: J. Phys. Soc. Japan 15, 445 (1960).ADSCrossRefGoogle Scholar
  17. 4. c)
    Watanabe, T.: J. Phys. Soc. Japan 16, 1131 (1961).ADSCrossRefGoogle Scholar
  18. 4. d)
    Palma-Vittorelli, M. B., Palma, M. U., Persico, F.: J. Phys. Soc. Japan 17, Suppl. B 1, 475 (1962).Google Scholar
  19. 4. e)
    Garofano, T., Palma-Vittorelli, M. B., Palma, M. U., Persico, F.: In: Paramagnetic Resonance, Vol. II (W. Low, Editor), p. 582. New York: Academic Press 1963.Google Scholar
  20. 4. f)
    Aiello, G., Palma, M. U., Persico, F.: Phys. Letters 11, 117 (1964).ADSCrossRefGoogle Scholar
  21. 4. g)
    Aiello, G., Palma-Vittorelli, M. B.: Phys. Rev. Letters 21, 137 (1968).ADSCrossRefGoogle Scholar
  22. 4. h)
    Bates, A. R., Stevens, K. W. H.: J. Phys. (C: Solid State Phys.) 2, 1573 (1969) (London).ADSCrossRefGoogle Scholar
  23. 4. i)
    Bates, A. R.: J. Phys. (C: Solid State Phys.) 3, 1825 (1970).ADSCrossRefGoogle Scholar
  24. 4. j)
    Aiello, G., Palma-Vittorelli, M. B.: Collective Phenom. (London) in the press.Google Scholar
  25. 5.
  26. 5. a)
    Andrew, E. R.: J. Chem. Phys. Solids 18, 9 (1961) and J. Chem. Phys. (France) 63, 85 (1966) and literature quoted therein.ADSCrossRefGoogle Scholar
  27. 5. b)
    Bloembergen, N., Purcell, E. M., Pound, R. V.: Phys. Rev. 73, 679 (1948).ADSCrossRefGoogle Scholar
  28. 5. c)
    Gutowsky, H. S., Pake, G. E.: J. Chem. Phys. 18, 162 (1950).ADSCrossRefGoogle Scholar
  29. 6.
    Marois, M. (Editor): From Theoretical Physics to Biology. Proc. 2nd Int’l Conf., Versailles, June 1969. Paris: CNRS 1971 p. 27 ff.Google Scholar
  30. 7.
    Micciancio-Giammarinaro, M. S., Micciancio, S., Palma-Vittorelli, M. B., Palma, M. U., Marino, M. L.: Ann. N.Y. Acad. Sci. 204 (1973).Google Scholar
  31. 8.
    Palma, M. U., in: From Theoretical Physics to Biology (M. Marois, Editor). Proc. 3rd Int’l Conf., Versailles, June 1971 (in the press).Google Scholar
  32. 9. a)
    Cupane, A.: Thesis, Palermo, June 1972.Google Scholar
  33. 9. b)
    Vitrano, E.: Thesis, Palermo, June 1972.Google Scholar
  34. 9. c)
    Cupane, A., Palma, M. U., Vitrano, E.: To appear on J. Mol. Biol. We are indebted to Drs. Cupane and Vitrano for permission to quote their as yet unpublished results.Google Scholar
  35. 10.
    It is impossible to quote here the vast amount of literature concerning hemoglobin. For the present specific purpose, see: Perutz, M. F.: Nature 228, 734 (1970).ADSCrossRefGoogle Scholar
  36. 12.
    Fröhlich, H.:Google Scholar
  37. 12. a)
    In Ref. 6, p. 13.Google Scholar
  38. 12. b)
    Phys. Letters 26 A, 402 (1968).Google Scholar
  39. 12. c)
    Int. J. Quantum Chem. 2, 641 (1968).Google Scholar
  40. 12. d)
    In: Proc. 3rd Int’l Conf. on Theor. Phys. and Biology (M. Mardis, Editor, in the press).Google Scholar
  41. 12. e)
    Phys. Letters 39 A, 153 (1972).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • G. Aiello
    • 1
  • M. S. Micciancio-Giammarinaro
    • 1
  • M. B. Palma-Vittorelli
    • 1
  • M. U. Palma
    • 1
  1. 1.Istituto di Fisica dell’ Università di Palermo and Gruppi Nazionali Struttura della MateriaConsiglio Nazionale delle RicercheItaly

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