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/content/aip/journal/jcp/144/8/10.1063/1.4942353
1.
1.D. V. Matyushov, J. Chem. Phys. 142, 244502 (2015).
http://dx.doi.org/10.1063/1.4922933
2.
2.A. Piekara and S. Kielich, J. Chem. Phys. 29, 1297 (1958).
http://dx.doi.org/10.1063/1.1744712
3.
3.R. L. Fulton, J. Chem. Phys. 78, 6865 (1983).
http://dx.doi.org/10.1063/1.444632
4.
4.R. L. Fulton, J. Chem. Phys. 78, 6877 (1983).
http://dx.doi.org/10.1063/1.444633
5.
5. To be more precise, 〈Msμ0r0 should better be written as 〈Mμ0sr0 to indicate the conditional average of the correlation function over a sphere centered at the position of the dipole μ0. Similarly for correlation function in expression (2a).
6.
6.J. G. Kirkwood, J. Chem. Phys. 7, 911 (1939).
http://dx.doi.org/10.1063/1.1750343
7.
7.H. Fröhlich, Theory of Dielectrics, 2nd ed. (Oxford University Press, New York, 1986).
8.
8.A. Piekara and S. Kielich, Acta Phys. Pol. 17, 209 (1958).
9.
9.F. Booth, J. Chem. Phys. 19, 391 (1951);
http://dx.doi.org/10.1063/1.1748233
9.Errata, F. Booth, J. Chem. Phys. 19, 1327 (1951);
http://dx.doi.org/10.1063/1.1748049
9.Publisher’s Erratum, F. Booth, J. Chem. Phys. 19, 1615 (1951).
http://dx.doi.org/10.1063/1.1748147
10.
10.J. A. Schellman, J. Chem. Phys. 26, 1225 (1957).
http://dx.doi.org/10.1063/1.1743497
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11.S. Kielich, in Dielectric and Related Molecular Processes, edited by M. Davies (Chemical Society, London, 1972), Vol. 1, pp. 192387, this is an excellent and extensive review of earlier work.
12.
12.C. J. F. Böttcher, O. C. van Belle, P. Bordewijk, and A. Rip, Theory of Electric Polarization, 2nd ed. (Elsevier Scientific, Amsterdam, 1973), Vol. 1, Chap. VII.
13.
13. The spherical volumes must be sufficiently large such that any increase in the volume results in negligible change in the phenomenological coefficients.20 Refs. 3, 4, and 6 use the correlation function 〈Msμ0r0 for the linear case. Refs. 2–4, 8, 9, and 11 use expression (2a) for the nonlinear case.
14.
14. The geometry used by Matyushov seems to be that of media confined to lie between parallel plates perpendicular to the z-axis. If so, the integrated quantities 〈M3M3〉 and 〈M3M3M3M3〉 do not have spherical symmetry.
15.
15.R. L. Fulton, J. Chem. Phys. 130, 204503(2009); the expression for the coefficienta in Equation (3) inadvertently has the wrong sign.
http://dx.doi.org/10.1063/1.3139211
16.
16.F. Booth, J. Chem. Phys. 23, 453 (1955).
http://dx.doi.org/10.1063/1.1742009
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17.V. Ballenegger, R. Blaak, and J.-P. Hansen, in Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology, edited byM. Ferrario, G. Ciccotti, and K. Binder, Lecture Notes in Physics Vol. 704 (Springer, Berlin Heidelberg, 2006), Vol. 2, pp. 4563, ISBN: 978-3-540-35283-9.
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18.M. Davies, Acta Phys. Pol. A 50, 241 (1976).
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19.J. D. Bernal and R. H. Fowler, J. Chem. Phys. 1, 515 (1933).
http://dx.doi.org/10.1063/1.1749327
20.
20.R. L. Fulton, J. Chem. Phys. 136, 084502 (2012).
http://dx.doi.org/10.1063/1.3687239
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21.G. Karlström and P. Linse, J. Chem. Phys. 132, 054505 (2010).
http://dx.doi.org/10.1063/1.3305325
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2016-02-24
2016-12-10

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