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In his book, Debye discusses the dependence of the dielectric constant on the ionic concentation by treating the ions as cavities with a different value of dielectric constant compared to the surrounding solution. The results show that the value of depends on the interior and exterior dielectric constant and on the size of the cavity. According to Debye, for most of the salts, the interior dielectric constant should be taken much smaller ($$ 1) than the aqueous one ( 80), leading to 0. The delicate point is how to determine the size of the cavity, and Debye discusses that at length. However, the final conclusion of Debye is that there is no clear conclusion about this issue.
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In his book, Debye discusses the dependence of the dielectric constant on the ionic concentation by treating the ions as cavities with a different value of dielectric constant compared to the surrounding solution. The results show that the value of depends on the interior and exterior dielectric constant and on the size of the cavity. According to Debye, for most of the salts, the interior dielectric constant should be taken much smaller ($$ 1) than the aqueous one ( 80), leading to 0. The delicate point is how to determine the size of the cavity, and Debye discusses that at length. However, the final conclusion of Debye is that there is no clear conclusion about this issue.
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BT). On the other hand, there is also an indirect effect of the dielectric decrement on the potential itself that can be obtained from the Poisson equation (iii) 4en ((n)′)′ 0. The total effect of the dielectric decrement-increment then depends on the combined action of both mechanisms and is obviously very nonlinear. In fact one can see by combining (i) and (iii) that for nonvanishing the effect of dielectric decrement-increment is quadratic in and thus does not depend on its sign. See Eq. and regime (ii) in the adjacent text.
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BT). On the other hand, there is also an indirect effect of the dielectric decrement on the potential itself that can be obtained from the Poisson equation (iii) 4en ((n)′)′ 0. The total effect of the dielectric decrement-increment then depends on the combined action of both mechanisms and is obviously very nonlinear. In fact one can see by combining (i) and (iii) that for nonvanishing the effect of dielectric decrement-increment is quadratic in and thus does not depend on its sign. See Eq. and regime (ii) in the adjacent text.
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s, even in the case of a linear dependence of the dielectric function on the counter-ion concentration, the pressure can thus be written in a local form that contains only the surface electrostatic energy and the surface (ideal) entropy.
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s, even in the case of a linear dependence of the dielectric function on the counter-ion concentration, the pressure can thus be written in a local form that contains only the surface electrostatic energy and the surface (ideal) entropy.
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