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Crystal-vacuum interface

Rig. 7. Snapshot pictures of a Monte Carlo simulation of the crystal-vacuum interface in the framework of a solid-on-solid (SOS) model, where bubbles and overhangs are forbidden. Each lattice site i is characterized by a height variable h, and the Hamiltonian then is 7i = - hf - hj[. Three temperatures are shown kT/4> — 0.545 (a), 0.600 (b) and 0.667 (c). The roughening transition temperature 7r roughly coincides with case (b). From Weeks et al. (1973). [Pg.132]

The electrostatic potential is constant over the surface of the condenser plates. Hence, in a vacuum, the field E, is perpendicular to the plates. The electric displacement in a vacuum is = a. The crystal/vacuum interface... [Pg.178]

Problem 3.2. The surface of a transparent crystal (index of refraction n) is covered with a weakly absorbing film (dielectric function 62 = 62 + 2 k21 2) thickness d. Light of wavelength A d falls from the crystal side at an angle 0 (with respect to the surface normal) which is greater than the critical angle at the crystal-vacuum interface. Find the reflectivity of light for s- and p-polarizations. [Pg.91]

Problem 4.4. Obtain the condition under which a surface polariton at a crystal-vacuum interface propagates over macroscopic distances (L A). Express the dispersion relation of the SP and its propagation length in terms of the dielectric function of a crystal in this case. [Pg.109]

Problem 4.5. Neglecting anharmonicity of phonons, obtain an expression for the propagation length of surface phonon polariton at a crystal-vacuum interface at frequencies close to (Vjo in terms of the decay rate of phonons, r [Pg.109]

In Section 3.1.1 we have discussed the phase changes on reflection. For the two-phase model of a crystal-vacuum interface which does not take into ac-coimt any transition layer, the complex bulk dielectric function of the crystal... [Pg.111]

Real polymer processes involved in polymer crystallization are those at the crystal-melt or crystal-solution interfaces and inevitably 3D in nature. Before attacking our final target, the simulation of polymer crystallization from the melt, we studied crystallization of a single chain in a vacuum adsorption and folding at the growth front. The polymer molecule we considered was the same as described above a completely flexible chain composed of 500 or 1000 CH2 beads. We consider crystallization in a vacuum or in an extremely poor solvent condition. Here we took the detailed interaction between the chain molecule and the substrate atoms through Eqs. 8-10. [Pg.53]

Keywords Oxide surfaces. First Principles, Surfece energy. Structure of clean surfeces. Reconstructions, Solid-gas/vacuum interfaces, Density functional theory. Crystal stoichiometry. Adsorption... [Pg.297]

Since solids do not exist as truly infinite systems, there are issues related to their temiination (i.e. surfaces). However, in most cases, the existence of a surface does not strongly affect the properties of the crystal as a whole. The number of atoms in the interior of a cluster scale as the cube of the size of the specimen while the number of surface atoms scale as the square of the size of the specimen. For a sample of macroscopic size, the number of interior atoms vastly exceeds the number of atoms at the surface. On the other hand, there are interesting properties of the surface of condensed matter systems that have no analogue in atomic or molecular systems. For example, electronic states can exist that trap electrons at the interface between a solid and the vacuum [1]. [Pg.86]


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See also in sourсe #XX -- [ Pg.132 ]




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