Dielectric matrices, embedding

Optical absorption in M nanocrystals embedded in dielectric matrix depends on characteristics of matrix and interface between matrix and nanocrystals. In the classical model of Mie only macroscopical dielectric permeability of environment e 2 is taken into account [16]. In this model charges at the M nanocrystal surface are determined by s2 and so frequency coa corresponding to a peak of resonant absorption is defined from a relation [18]. 

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. 

Grigorchuk NI. Resonance plasmon linewidth oscillations in spheroidal metalhc nanoparticle embedded in a dielectric matrix. J Appl Phys 2012 112 064306. 

Daniel Marie-Christine, and Astruc Didier. Gold nanoparticles Assembly, supramolecular chemistry, quantum-size-related properties, and applications toward biology, catalysis, and nanotechnology. Chem. Rev. 104 no. 1 (2004) 293—346. del Muro Montserrat Garcia, Konstantinovic Zorica, Varela M., Batlle Xavier, and Labarta Amflcar. Metallic nanoparticles embedded in a dielectric matrix Growth mechanisms and percolation. J. Nanomater. 2008 (2008) 1-5. 

At present, the major focus of the researchers is on the nanocomposite materials based on the nanoparticles of metals and their compounds stabilized within a polymeric dielectric matrix [1-4]. The dielectric and optical properties of these materials have been demonstrated to be highly dependent on the size, structure, and concentration of the nanopartides, as well as on the type of polymeric matrix [5-8]. These have shown the possibility of the purposeful change of parameters of the nanocomposite materials such as electrical conductivity, complex permittivity, refraction coefficient, and so on. It is believed that these materials would demonstrate low acoustic impedance because they are based on the polymeric matrix [9]. At that, the impedance value should be varied within certain limits by adjusting the parameters of the embedded nanopartides. All of these would allow one to use these materials for low disturbing substrates in various devices based on the waves in thin piezoelectric plates [10]. 

Metal nanoparticles embedded in a dielectric are known to exhibit interesting optical properties resulting from collective electronic excitations at the interfece between the metal and the dielectric matrix, leading to surface plasmon... 

The nanostructured FSS consists of a dielectric matrix (polymeric or silicone resin) with micro- and nanoparticles embedded into it. For this composite nanostmctured material, it is required to have isotropy, homogeneity and continuity properties. In fact, when the nano-FSS works at high frequency. 

We take as our model of an inhomogeneous medium a two-component mixture composed of inclusions embedded in an otherwise homogeneous matrix, where e and are their respective dielectric functions. The inclusions are identical in composition but may be different in volume, shape, and orientation we shall restrict ourselves, however, to ellipsoidal inclusions. The average electric field (E) over a volume V surrounding the point x is defined as... 

Figure 3. Dielectric constant of the dipolar fluid embedded in a charged matrix quenched at low temperature 3r,e2/a = 1. ROZ vs GCMC results. HNC results for the corresponding equilibrated mixture and ROZ results for an equivalent system with a neutral (hard sphere) matrix are included for comparison.

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