ELECTRIC PROPERTIES OF MACROMOLECULES .5. THEORY OF IONIC POLARIZATION IN POLYELECTROLYTES
ELECTRIC PROPERTIES OF MACROMOLECULES .5. THEORY OF IONIC POLARIZATION IN POLYELECTROLYTES
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DOI:
10.1021/j100834a023
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发表时间:
1960-01-01
影响因子:
--
通讯作者:
OKONSKI, CT
中科院分区:
文献类型:
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作者:
OKONSKI, CT
Ionic transport phenomena are shown to be important to the dielectric constant, as well as the dispersion and conductivity of polvelectrolyte solutions. The effects of the excess conductivity arising from mobility of ions at the interface, and—with thin ion atmospheres—thecharge transport due to counterions, may be expressed in terms of a two-dimensional conductivity. The electrical boundary value problem is formulated in terms of this surface conductivity, the dielectric constant and volume conductivity of the medium, and an anisotropic dielectric constant and volume conductivity for the particle. These param-eters have important physical significance for macromolecular structures. It is proposed that this model is more appropriate for polyelectrolytes than either the Debye-Falkenhagen or Maxwell-Wagner models. Isotropic spheres are considered in detail, toshow the effects of a surface conductivity on the internal field, the induced polarization, and the dielectric constant, dispersion, and conductivity of dilute systems. Reasonable approximations were found which obviate detailed treatment of the boundary-value problems for the generalized ellipsoid and the limiting forms of a cylinder. Anlsometric particles of uniform surface conductivity are shown to be electrically equivalent to particles of anisotropic volume conductiv-ity. Equations are given for the complex dielectric constant, the relaxation times, and the low and high frequency dielec-tric and conductivity increments of dilute systems of ellipsoidal particles. Numerical calculations of the increments are made forrandomly and completely oriented ellipsoids ofrevolution over a wide range of parameters appropriate todilute aqueous media. Important differences between needle and disk-shaped particles are found. In oriented systems of aniso-metric particles, counterion transport produces a strong anisotropy of the low frequency dielectric increment, and an aniso-tropy of conductivity apart from the contribution due toanisotropy of the frictional coefficient of the polyion. Further, the internal field depends upon orientation, and this effect on polyion mobility may greatly exceed the frictional coefficient effect discussed by Eigen and Schwarz. The results indicate that essentially all of the known dielectric properties of aqueous proteins, nucleicacids, nucleoproteins, and charged colloids are explicable in terms of this model. It is shown that polariza-tion of the counterion atmosphere reduces theinternal field and thus diminishes permanent dipole polarization. Available experimental data, generally incomplete for the present interpretation, are discussed in as far as possible. The need for further experiments to test the theory is indicated, and some crucial ones are suggested. It is predicted that biological effects in intense high frequency fields may be enhanced by the use of pulsed radiation.