The shape of the nonlocal dielectric function of polar liquids and the implications for thermodynamic properties of electrolytes: A comparative study
J. Chem. Phys. 104, 1524 (1996); doi:10.1063/1.470741
Issue Date: 22 January 1996
You are not logged in to this journal. Log in
Consequences of different forms of the nonlocal dielectric function
(k) of a polar solvent in thermodynamics of electrolytes are studied. This is done with the help of an analytical approximation which covers, as particular cases, different types of results obtained by several groups on the basis of molecular theories or computer simulations. It is shown that the forms of
(k) which include a range of negative values may not contradict experimental data for hydration energies (in contrast to which was argued before) when one goes beyond the simple Born model of an ion and accounts for higher frequency mode contributions. A study of the implications for the activity coefficents shows that oscillations of the interaction energy between ions, following from such forms of
(k), lead to a compensation effect which brings the results closer to the prediction of classical electrostatics and to experimental data. ©1996 American Institute of Physics.
(k) of a polar solvent in thermodynamics of electrolytes are studied. This is done with the help of an analytical approximation which covers, as particular cases, different types of results obtained by several groups on the basis of molecular theories or computer simulations. It is shown that the forms of
(k) which include a range of negative values may not contradict experimental data for hydration energies (in contrast to which was argued before) when one goes beyond the simple Born model of an ion and accounts for higher frequency mode contributions. A study of the implications for the activity coefficents shows that oscillations of the interaction energy between ions, following from such forms of
(k), lead to a compensation effect which brings the results closer to the prediction of classical electrostatics and to experimental data. ©1996 American Institute of Physics.
| History: | Received 27 December 1994; accepted 10 October 1995 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/104/1524/1 |
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (66)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- R. R. Dogonadze, A. A. Kornyshev, and A. M. Kuznetsov,
Teor. Mat. Fiz. 15, No. 1, 127 (1973 ). - R. R. Dogonadze and A. A. Kornyshev,
JCS Faraday II 70, No. 6, 1121 (1974 ). - A. A. Kornyshev,
Electrochimica Acta 26, 1 (1981 ). - A. A. Kornyshev, in The Chemical Physics of Solvation, edited by R. R. Dogonadze, E. Kalman, A. A. Kornyshev, and L. Ulstrup (Elsevier Science, Amsterdam, 1985), Vol. Part A, ch. 3, p. 77.
- See Sec. 3, in A. A. Kornyshev and W. Schmickler, J. Electroanal. Chem. 202, 1 (1986).
- M. A. Vorotyntsev, in The Chemical Physics of Solvation, edited by R. R. Dogonadze, E. Kalman, A. A. Kornyshev, and J. Ulstrup (Elsevier Science, Amsterdam, 1985), Vol. Part C, ch.7, p. 401.
- M. A. Vorotyntsev and A. A. Kornyshev, Electrostatics of Media with Spatial Dispersion (in Russian) (Nauka, Moscow, 1993).
- A. A. Kornyshev and M. A. Vorotyntsev,
Surf. Sci. 101, 23 (1980 ). - M. A. Vorotyntsev and A. A. Kornyshev, Elektrokhimiya 15, No. 5, 660 (1979).
- M. A. Vorotyntsev and A. A. Kornyshev,
Zh. Exper. Teor. Fiz. 78, No. 5, 1008 (1980 ). - A. A. Kornyshev, W. Schmickler, and M. A. Vorotyntsev, Phys. Rev B 25, 5244 (1982).
- A. A. Kornyshev and J. Ulstrup, Chem. Scr. 25, 58 (1985).
- M. A. Vorotyntsev, V. Y. Izotov, and A. A. Kornyshev, Poverkhnost Fiz. Khim. Mekh. 7, 97 (1983).
- P. G. Dzhavakhidze, A. A. Kornyshev, and L. I. Krishtalik,
J. Electroanal. Chem. 228, 329 (1987 ). - A. M. Berezhkovskii, S. A. Kabakchi, A. A. Kornyshev, and G. E. Chudinov, Dokl. AN SSSR 307, 625 (1989).
- D. L. Phelps, A. A. Kornyshev, and M. J. Weaver,
J. Phys. Chem. 94, 1454 (1990 ). - L. I. Krishtalik, N. M. Alpatova, and E. V. Ovsyannikova,
Electrochim. Acta 36, 435 (1991 ). - K. Holub and A. A. Kornyshev,
J. C. S. Faraday 2 76, 67 (1980 ). - M. Neumann,
Mol. Phys. 57, 97 (1986 ). - D. Bertolini and A. Tani,
Mol. Phys. 75, 1065 (1992 ). - F. O. Raineri, H. Resat, and H. L. Friedman, J. Chem. Phys. 96, 3068 (1992).
- B. Bagchi, J. Chem. Phys. 95, 467 (1991).
- A. Chandra and B. Bagchi, J. Chem. Phys. 90, 1832 (1989).
- A. Chandra and B. Bagchi, J. Chem. Phys. 91, 3056 (1989).
- P. Attard, D. Wei, and G. N. Patey,
Chem. Phys. Let. 172, 69 (1990 ). - T. Fonseca and B. M. Ladanyi, J. Chem. Phys. 93, 8148 (1990).
- T. Fonseca and B. M. Ladanyi, in Condensed Matter Physics Aspects of Electrochemistry, edited by M. P. Tosi and A. A. Kornyshev (World Scientific, Singapore, 1991), p. 79.
- F. O. Raineri, Y. Zhou, and H. L. Friedman,
Chem. Phys. 152, 201 (1991 ). - Ph. A. Bopp, A. A. Kornyshev, and G. Sutmann, Phys. Rev. Lett. (to be published).
- O. V. Dolgov, D. A. Kirzhnits, and E. G. Maksimov, Rev. Mod. Phys. 53, 81 (1981).
- A. A. Kornyshev, D. A. Kossakowski, and M. A. Vorotyntsev, in Condensed Matter Physics Aspects of Electrochemistry, edited by M. P. Tosi and A. A. Kornyshev (World Scientific, Singapore, 1991), p. 92.
- R. R. Dogonadze and A. A. Kornyshev,
Elektrokhimiya 9, 1321 (1973 ). - M. S. Skaf, T. Fonseca, and B. M. Ladanyi, J. Chem. Phys. 98, 8929 (1993).
- We refer to this type of
(k), containing a wrong limiting behavior for k
with ACFN (Attard et al.; Chandra and Bagchi; Fonseca and Ladanyi; Neumann). Although the principle of calculation of
(k) [using the Fourier transform of the total dipol moment M(k) for the calculation] seems to be the same in Refs. 20 and 33 we do not include these works into this class (ACFN), as only calculations were performed in the very small k-region. - A. A. Kornyshev, S. Leikin, and G. Sutmann, Electrochim. Acta (in press).
- To evaluate the fitting parameter values, pointing out the qualitative features of the different models (RRF, ACFN, BKLS), we considered the result for 1/
(k) obtained by Raineri et al. (Ref. 21) as a reference. The parameter values were chosen (i) to obtain the desired limiting values of
(k), (ii) to reproduce the minimum value, shown in Fig. 8 of Ref. 21, (iii) to get the position of the minimum on the k-axis, (iv) to reproduce the approximate width of the minimum, (v) to assure the condition 0<
(k)<1. Note that we formally have to set
* =
for the ACFN type of
(k) in order to obtain limk
(k)<0. - The extension of Eq. (7) to the multi-mode case is not possible for the case of ACFN since the formal replacement of
* by
would give misleading results (Ref. 36). - P. P. Schmidt and J. M. McKinley, J. C. S. Faraday 2 72, 143 (1976).
- B. S. Gourary and F. J. Adrian,
Solid State Phys. 10, 127 (1960 ). - L. Pauling, The Nature of the Chemical Bond (Cornell University, Ithaca, 1948).
- A. F. C. Ladd,
Theor. Chim. Acta 12, 333 (1968 ). - M. F. Golovko and I. R. Yukhnovskij, in The Chemical Physics of Solvation, edited by R. R. Dogonadze, E. Kalman, A. A. Kornyshev, and J. Ulstrup (Elsevier Science, Amsterdam, 1985), p. 207.
- M. Revere, R. Miniero, M. Parinello, and M. P. Tosi,
Phys. Chem. Liq. 9, 11 (1979 ). - In the case, where the fitting parameter C =
2 and
>>
(for BKLS:
= 0.15 Å,
= 3 Å),
(k) shows in the small k region a Lorentzian-type behavior with a corresponding correlation length
=
. - A. A. Kornyshev and A. G. Volkov, J. Electroanal. Chem. 180, 363 (1984).
- M. Salomon,
J. Phys. Chem. 74, 2519 (1970 ). - J. E. B. Randles,
Trans. Faraday Soc. 52, 1573 (1956 ). - K. Holub and A. A. Kornyshev, Z. Naturforsch. Tell A31, 1601 (1976).
- H. Falkenhagen and W. Ebeling, in Ionic Interactions, edited by S. Petrucci (Academic, New York, 1971), Vol. 1, p. 1.
- A. A. Kornyshev,
Chem. Scr. 25, 63 (1985 ). - H. S. Harned and B. B. Owen, The Physical Chemistry of Electrolyte Solutions (Reinhold, New York, 1950).
- R. A. Robinson and R. H. Stokes, Electrolyte Solutions (Butterworth, London, 1965).
- W. Ebeling and H. Krienke, in The Chemical Physics of Solvation, edited by R. R. Dogonadze, E. Kalman, A. A. Kornyshev, and J. Ulstrup (Elsevier, Amsterdam, 1986), Vol. Part C, Chap. 2, p. 113.
- G. Kelbg, Z. Phys. Chem. 214, 8, 26, 141, 153 (1960).
- H. L. Friedman and J. C. Rasaiah, J. Chem. Phys. 48, 2742 (1968).
- J. C. Rasaiah and H. L. Friedman, J. Chem. Phys. 50, 3965 (1969).
- H. L. Friedman and C. V. Krishnan, in WaterA Comprehensive Treatise, edited by F. Franks (Plenum, New York, 1973), Vol. 3.
- E. Bich, W. Ebeling, and H. Krienke, Z. Phys. Chem. 257, 549 (1976).
- H. Wiechert, H. Krienke, R. Feistel, and W. Ebeling, Z. Phys. Chem. 259, 1057 (1978).
- H. Krienke and P. Faigl, Wiss. Z. WPU Rostock 27, 887 (1978).
- W. Ebeling, R. Feistel, and R. Sändig,
J. Sol. Chem. 8, 53 (1979 ). - Another, but somewhat minor shortcoming is equalization of radii of positive and negative ions, assumed in the derivation of Eq. (33). For example, rNa+/rCl
0.52 (Ref. 40) or
0.71 (Ref. 39). - R. H. Stokes and R. A. Robinson,
J. Am. Chem. Soc. 70, 1870 (1949 ). - W. A. Harrison, Solid State Theory (McGraw-Hill, New York, 1970).
- Only these components are of interest in electrostatics of isotropic and homogeneous media.4
- M. A. Vorotyntsev,
J. Phys. C 11, 3323 (1978 ).








