The heterogeneous collision velocity for hydrated ions in aqueous solutions is ~104 cm/s

Journal of Physical Chemistry

Volumn 100, Issue 11, 1996, Pages 4622-4629

  Andersen, Olaf S ^a   Feldberg, Stephen W ^a  

^a WEILL CORNELL MEDICAL COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUEOUS SOLUTIONS; KINETIC THEORY; MATHEMATICAL MODELS; PHYSICAL CHEMISTRY;

CHANNEL ENTRANCE; HETEROGENEOUS COLLISION VELOCITY; HYDRATED IONS; ION DEHYDRATION; SOLUTION PARTICLES;

IONS;

EID: 0030091985     PISSN: 00223654     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp952687t     Document Type: Article

References (36)

1. Einstein, A. Z Elektrochem. 1907, 13, 41.
2. Einstein, A. Investigations on the theory of the brownian motion; Dover publications, Inc.: New York, NY, 1956.
3. Atkins, P. \V. Physical Chemistry, 3rd ed.; W. H. Freeman and Company: New York, 1986.
4. Andersen, O. S.; Koeppe, R. E., II. Physiol. Rev. 1992, 72, S89.
5. Hille, B. Ionic Channels of Excitable Membranes, 2nd ed.; Sinauer Associates, Inc.: Sunderland, MA, 1992.
6. Sarges, R.; Witkop, B. J. Am. Chern. Soc. 1965, 87, 2011.
7. Urry, D. W. Proc. Natl. Acad. Sci. U.S.A. 1971, 68, 672.
8. Ramachandran, G. N.; Chandrasekaran, R. In Progress in Peptide Research; Lande, S., Ed.; Gordon & Breach: New York, NY, 1972; Vol. 2, p 195.
9. Arseniev, A. S.; Lomize, A. L.; Barsukov, I. L.; Bystrov, V. F. Biol. Membr. 1986, 3, 1077.
10. Ketchem, R. R.; Hu, W.; Cross, T. A. Science 1993, 267, 1457.
11. Myers, V. B.; Haydon, D. A. Biochim. Biophys. Acta 1972, 274, 313.
12. Hille, B. In Membranes. Lipid Bilayers and Biological Membranes: Dynamic Properties; Eisenman, G., Ed.; Marcel Dekker, Inc.: New York, 1975; Vol. 3, p 255.
13. Andersen, O. S. Biophys. J. 1983, 41, 147.
14. Andersen, O. S. Biophys. J. 1983, 41, 119.
15. Andersen, O. S. Biophys. J. 1983, 41, 135.
16. Collins, F. C.; Kimball, G. E. J. Colloid Sci. 1949, 4, 425.
17. Alper, J. S.; Gelb, R. I. J. Phys. Cliem. 1990, 94, 4747.
18. Smith, R.; Thomas, D. E.; Atkins, A. R.; Separovic, F.; Cornell, B. A. Biochim. Biophys. Ada 1990, 1026, 161.
19. Bobak, M.; Chiu, S. W.; Jakobsson, E. J. Mol. Graphics 1991, 9, 44.
20. König, S.; Sackmann, E.; Richter, D.; Zorn, R.; Carlile, C; Bayerl, T. M. J. Chem. Phys. 1994, 100, 3307.
21. Wang, J. H.; Robinson, C. V.; Edelman, I. S. J. Am. Chem. Soc. 1953, 75, 466.
22. Eigen, M. Pure Appl. Chem. 1963, 6, 97.
23. Diebler, H.; Eigen, M.; Ilgenfritz, G.; Maas, G.; Winkler, R. Pure Appl. Chem. 1969, 20, 93.
24. Wightman, R. M.; Wipf, D. O. In Electroanalytlcal Chemistry, Vol. 15; Bard, A. J., Ed.; Marcel Dekker, Inc.: New York, 1989; p 267.
25. Brietz, D. Digital Simulation in Electrochemistry; SpringerVerlag: Berlin, 1981.
26. Sahni, D. C. J. Nitcl. Energy, A/B 1966, 20, 915.
27. Durkin, J. T.; Providence, L. L.; Koeppe, R. E., II; Andersen, O. S. J. Mol. Biol. 1993, 231, 1102.
28. Burgess, J. Metal Ions in Solution; Ellis Horwood, Ltd.: Chichester, 1978.
29. Robinson, R. A.; Stokes, R. H. Electrolyte Solutions, 2nd ed.; Butterworths: London, 1959.
30. Swain, C. G.; Evans, D. F. J. Am. Chem. Soc. 1966, 88, 383.
31. Levitt, D. G.; Elias, S. R.; Hautman, J. M. Biochim. Biophys. Acta 1978, 512, 436.
32. Rosenberg, P. A.; Finkelstein, A. J. Gen. Physiol. 1978, 72, 327.
33. Chandrasekhar, S. Rev. Mod. Phys. 1943, 15, 17.
34. A hydrated ion cannot permeate through the pore, as the physical dimensions of an alkali metal cation and its associated HiO in the hydration shell preclude the entry of hydrated ions into the narrow pore. Ions therefore move through the pore with no lateral hydration;3132 most likely, however, the ions are hydrated by two HiO molecules-one in front and one behind the ion.
35. a, we use the expressions D = (<52)/(6r) (e.g., see ref 33) and v = ôtr. Using eq 2 and the approximation (<5)2 ≈. (o2), then ô l.5Dlua. D&2 x 10"3 cmVs, and va = 6 x I03 cm/s, which means that <5 =a 0.5 A and that the condition o/ra& 1 cannot be satisfied.
36. At very high [Cs+], 5 M, the maximal measured currents are ~50 pA, which corresponds to a flux of 3 x 108 ions/s (O. S. Andersen, unpublished observations).