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Dielectric sphere

This force equation can now be used to find the force in model systems such as that of an ideal dielectric sphere (relative dielectric constant Ko) in an ideal perfectly insulating dielectric fluid (relative dielectric constant K ). The force can now be written as... [Pg.2011]

Israelachvili, J, Intermolecular and Surface Forces, 2nd ed. Academic Press London, 1992. Ivory, CF, Transient Electrophoresis of a Dielectric Sphere, Journal of Colloid and Interface Science 100, 239, 1984. [Pg.614]

Ashkin, A. (1992) Forces of a single-beam gradient laser trap on a dielectric sphere in... [Pg.130]

Harada, Y. and Asakura, T. (1996) Radiation forces on a dielectric sphere in the Rayleigh scattering regime. Opt. Commun., 124, 529-541. [Pg.168]

Cassagneau, T. and Caruso, F., Continuous silver nanoparticle coatings on dielectric spheres, Adv. [Pg.89]

Gastine, M., Courtois, L., and Dormann, J.L., 1967, Electromagnetic resonances of free dielectric spheres, IEEE Trans. Microwave Theory Tech. 15(12) 694-700. [Pg.65]

M.I. Angelova and B. Pouligny Trapping and Levitation of a Dielectric Sphere with off-Centered Gaussian Beams I Experimental. Pure Appl. Optics 2,261 (1993). [Pg.197]

Ashkin, A., and J. M. Dziedzic, 1977. Observation of resonances in the radiation pressure on dielectric spheres, Phys. Rev. Lett., 38, 1351-1354. [Pg.500]

Thus the contribution of the structured ionic cloud to the total potential at the surface of the central ion will not be as it is in the DH theory, and because the electrostatic model requires an equipotential surface to be maintained there, a new model is needed. We therefore approximate an ion to a dielectric sphere of radius a, characterized by the dielectric constant of the solvent D, and having a charge Q, residing on an infinitesimally thin conducting surface. This type of model has been exploited by previous workers (17,18) and may be reconciled with a quantum-mechanical description (18). [Pg.202]

Approximation of a classical dielectric sphere of finite thickness... [Pg.28]

Consider an unpolarized incident radiation on a dielectric sphere. The phase function 4> 6) can be expressed as [Siegel and Howell, 1981]... [Pg.146]

Figure 4.5 Dielectric sphere immersed with a uniform electric field, Eq. The sphere and... Figure 4.5 Dielectric sphere immersed with a uniform electric field, Eq. The sphere and...
The molecule is often represented as a polarizable point dipole. A few attempts have been performed with finite size models, such as dielectric spheres [64], To the best of our knowledge, the first model that joined a quantum mechanical description of the molecule with a continuum description of the metal was that by Hilton and Oxtoby [72], They considered an hydrogen atom in front of a perfect conductor plate, and they calculated the static polarizability aeff to demonstrate that the effect of the image potential on aeff could not justify SERS enhancement. In recent years, PCM has been extended to systems composed of a molecule, a metal specimen and possibly a solvent or a matrix embedding the metal-molecule system in a molecularly shaped cavity [62,73-78], In particular, the molecule was treated at the Hartree-Fock, DFT or ZINDO level, while for the metal different models have been explored for SERS and luminescence calculations, metal aggregates composed of several spherical particles, characterized by the experimental frequency-dependent dielectric constant. For luminescence, the effects of the surface roughness and the nonlocal response of the metal (at the Lindhard level) for planar metal surfaces have been also explored. The calculation of static and dynamic electrostatic interactions between the molecule, the complex shaped metal body and the solvent or matrix was done by using a BEM coupled, in some versions of the model, with an IEF approach. [Pg.309]

Differential absorption coefficient between solution and water (------- ) dielectric sphere... [Pg.86]

There are monopolar fluctuations of the net charge on the colloid and its surrounding solution there are dipolar fluctuations, the first moment of the ionic-charge distribution around the colloid as well as polarization of the colloid itself. Monopolar and dipolar fluctuations couple to create a hybrid interaction, d-m, again in the limit of the n = 0 sampling frequency at which the ions are able to fluctuate. The salt solution screens even the dipolar fluctuation the same way that the low-frequency-fluctuation term is screened in planar interactions. For dielectric spheres of radius a, ss whose incremental contribution to dielectric response is a =... [Pg.93]

Most colloids rather behave like the dielectric spheres of fig. c. The reason is that the ions in the solution can rarely pass the phase boundary. Therefore, the field lines must detour the particles. We shall henceforth emphasize such particles. As these particles are usually charged the extra ions in the solution side of the double layer lead to surface conduction, which, in turn, tends to contract the field lines through the double layer. Figure 3.85 illustrates this. Here, we have introduced the dimensionless quantity... [Pg.451]

For quantitative purposes we give here Henry s series for / for dielectric spheres ... [Pg.491]

The value for e can be obtained by solving Poisson s equation in the far field. =0. The general solution for a dielectric sphere of radius a is... [Pg.493]

When these differential equations are properly solved, surface conduction is automatically taken into account, because then all the ionic currents and osmotic flows have been considered. However, most elaborations start from the oversimplified model of a discrete slip plane without surface conduction within the stagnant layer. In such models = 0. We shall call models with K = 0 rigid particle theories. The rigid particles are therefore dielectric spheres, characterized by an outer ( surface") potential The most a priori approach is to Introduce non-zero K s from the very onset, but regarding literature elaborations, we shall follow the historical development and first discuss models with K = 0, thereafter (sec. 4.6e) consider experimental evidence for non-zero K and eventually introduce this phenomenon in the theory. [Pg.540]


See other pages where Dielectric sphere is mentioned: [Pg.2457]    [Pg.2832]    [Pg.587]    [Pg.24]    [Pg.67]    [Pg.68]    [Pg.122]    [Pg.360]    [Pg.25]    [Pg.25]    [Pg.53]    [Pg.75]    [Pg.515]    [Pg.27]    [Pg.90]    [Pg.57]    [Pg.108]    [Pg.108]    [Pg.308]    [Pg.85]    [Pg.1769]    [Pg.487]    [Pg.487]   
See also in sourсe #XX -- [ Pg.287 , Pg.288 ]




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