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The surface-related effects include the following. First, there will always be some surface relaxation or rumpling, causing deviations from the ideal 32 1 Concepts Fig. 4. Electronic energies as a function of interatomic spacing. Also shown is the energy ␦E needed to raise a solid to an electronically excited state, with typical values for metals, semimetals, semiconductors, and insulators. termination of the basic crystal structure. Relaxation and rumpling will normally lead to a dipole layer at the surface, which will affect the energy needed to bring a charge into the crystal or to remove charge from the solid.

Indeed, the effective temperature for these phonons can become sufficiently close to the spin temperature that the energy transfer between spins and phonons is slowed down. This is the phonon bottleneck, a consequence of a non-equilibrium phonon distribution (van Vleck 1941; Scott & Jeffries 1962; Stoneham 1965, 1975). Excitation of clusters In catalysis, small particles often play a key role. Because they are small this offers a large surface area for a relatively small amount of a possibly highcost material.

1991), or as 10 ps from the analysis of Stoneham (1990) based on the general theory of plasmas due to Landau. These are similar to the 1–10 ps predicted by Sigmund (1974) for energy transfer at the end of a collision cascade; in his model, electrons are not explicit. 8 ps (Golov et al. 1995). 4 Basic issues of electronic structure 31 is proportional to (␶ee␶eph2)1/3 (Gusev & Wright 1998), which involves both electron–electron and electron–phonon scattering times. 4 Basic issues of electronic structure In this section we draw together some of the aspects of electronic structure which we shall need in later parts of the book.

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DORROUGH PLM-120 Power Line Monitor

by Paul

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