Abstract
The hydrogen bond has been under intense scrutiny in physical and chemical systems since its definition by Latimer and Rodebush in 1920 /1,2/. Investigations in biological systems, however, are of much more recent vintage. Indeed, the pioneering investigations of Löwdin /3/ were among the first attempts to characterize the role of protonic motion in hydrogen bonds in the properties of biological macromolecules. In particular, Löwdin /3/ stressed the importance of proton tunneling, and showed that this provides a mechanism for transfer and for loss of information stored in the form of proton position in a double well. Recent experimental advances, particularly in the area of picosecond spectroscopy /4/, have made it possible to experimentally observe the motion of molecular subunits, and the promise of being able to delineate the tunneling process has reemphasized the need for an understanding of the dynamics of protons in hydrogen bonds.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Latimer and W.H. Rodebush, J. Am. Chem. Soc. 42, 1419 (1920).
M.L. Huggins, unpublished (cited by G.N. Lewis in “Valence and the Structure of Atoms and Molecules”, Chem. Catalog Co., New York, 1923, p. 109 ).
P.O. Löwdin, Adv. Quantum Chem. 2, 213 (1965)
P.O. Löwdin, Mutation Res. 2, 218 (1965)
P.O. Löwdin, Pont. Acad. Scient. 31, 1 (1967)
P.O. Löwdin, Ann. N.Y. Acad. Scient. 31, 1 (1967)
P.O. Löwdin, Ann. N.Y. Acad. Sci. 158, 86 (1969).
cf. eg. P.M. Rentzepis, R.P. Jones and J. Jortner, J. Chem. Phys. 59, 766 (1973)
W.S. Struve, P.M. Renzepis and J. Jortner, ibid, 59, 5014 (1973).
J.C. Slater, J. Chem. Phys. 2, 16 (1941).
P.G. deGennes, Solid St. Comm. 1, 132 (1963)
Y. Takagi, J. Phys. Soc. (Japan) 3, 271 (1948)
R. Blinc and M. Ribaric, Phys. Rev. 130, 1816 (1963).
K.K. Kobayashi, J. Phys. Soc. (Japan) 24, 497 (1968)
R. Blinc and B. Zeks, Adv. Phys. 21, 693 (1972)
K. Godzik and A. Blumen, Phys. Stat. Sol. B 66, 569 (1974).
B.I. Stepanov, Zh. Fiz. Khim. 12, 507 (1945)
Y. Marechal and A. Witkowski, J. Chem. Phys. 48, 3697 (1968)
S.F. Fischer, G.L. Hofacker and M.A. Ratner, J. Chem. Phys. l2, 1932 (1969)
M.A. Ratner and J.R. Sabin, in “Wave Mechanics, the First Fifty Years”, eds. W.C. Price et. al., Butterworth, London, 1973
Y. Marechal, G.L. Hofacker, and M.A. Ratner in “Hydrogen Bonding”, eds. P. Schuster et. al., North Holland, Amsterdam, in p ress.
L. Onsager and M. Dupuis, in “Electrolytes”, ed. B. Pesce, Pergamon Press, New York, 1962
P. Gosar, Nuovo Cim. 30, 931 (1963)
S.F. Fischer and G.L. Hofacker in “Physics of Ice”, eds. N. Riehl et.al., Plenum, New York, 1969
P. Gosar, ibid; S.F. Fischer, G.L. Hofacker, and J.R. Sbin, Phys. kondens. Mat. 8, 268 (1969).
Polarons and Excitons“, C.G. Kuper and G. Whitfield, Oliver and Boyd, Edinburgh, 1963.
cf. eg. R. Rein and F.E. Harris, J. Chem. Phys. 41, 3393 (1964); 42, 2177 (1965).
J. Brickmann and H. Zimmerman, J. Chem. Phys. 50 1608 (1969).
M.D. Harmony, Chem. Soc. Revs. 2, 211 (1973). It must be remembered that the considerations of Harmony and of Brick-mann /12/ apply only to rigourously one-dimensional potentials. For real hydrogenbonded systems, the coupling results in a finite width for the localized double well states, and the tremendous reduction of tunneling rate for small asymmetrics predicted by (5) does not occur. Indeed, the “downhill” tunneling in these systems should be faster than the symmetric tunnelings essentially because the argument of the negative exponential in the JWKB expression is reduced by the asymmetry (A. Aviram, P.E. Seiden and M.A. Ratner, to be published).
N. Sheppard, in “Hydrogen Bonding”, ed. D. Hadzi, Pergemon, Oxford, 1959.
N. Rösch, Thesis, T.U., München, 1971; Chem. Phys. 1, 220 (1973)
N. Rösch and M. Ratner, J. Chem. Phys. 61, 3344 (1974).
M.D. Newton and S. Ehrenson, J. Amer. Chem. Soc. 93, 4971 (1971)
R. Janoschek et.al. ibid 24, 2387 (1972).
A. Nitzan and R.J. Silbey, J. Chem. Phys. 60, 4070 (1971+).
G. Sewell, in “Polarons and Excitations”, eds. C.G. Kuper and G. Whitfield,Oliver and Boyd, Edinburgh, 1963.
T. Holstein, Ann. Phys. 8, 325–389 (1959).
S. Glasstone,K.J. Laidler and H. Eyring, “Theory of Rate Processes”, McGraw-Hill, New York, 1941.
R.G. Carbonell and M.D. Kostin, J. Chem. Phys. 60, 2047 (1974).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ratner, M.A., Sabin, J.R. (1976). On Proton Mobilities in Individual Hydrogen Bonds. In: Calais, JL., Goscinski, O., Linderberg, J., Öhrn, Y. (eds) Quantum Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1659-7_43
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1659-7_43
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1661-0
Online ISBN: 978-1-4757-1659-7
eBook Packages: Springer Book Archive