Tracing of a random profile with a mechanical profiler with a spherical tipped stylus has been investigated by means of computer simulation. It is shown that the fractional measuring errors of rms roughness depend on only the ratio of rms roughness varsigma to the stylus tip radius r and the ratio of rms roughness to the 1/e correlation length rho(c). The ratios varsigma/r were in the range of 0.005-0.05 and the ratios varsigma/rho(c) were equal to 0.028 and 0.048.

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Refractive index (n) and extinction coefficient (χ) spectra for n-type silicon with impurity concentrations Ni=2.3×1012 cm−3 and Ni=4.5×1018 cm−3 are determined from measured reflectance and transmittance of silicon samples in the 0.7–1.8 μm range. In the 0.81–0.92 μm range, the spectra have a region of the anomalous dispersion and peaks, which are associated with interband transitions. It was found that the increase in Ni leads to increasing n and χ in the ranges of 0.70–0.81 and 0.90–1.80 μm, respectively, and decreasing n in the 0.86–1.80 μm range. For Ni=2.3×1012 cm−3, χ depends slightly on wavelength in the 1.15–1.8 μm range.

Based on linear response theory, Kramers-Kronig relations, and diagram techniques of perturbation theory, it is shown that the second sum rule is satisfied for hot plasma permittivity. An explicit analytical expression for the second sum rule in the limit of weak nonideality is derived.

A metal-insulator transition at zero temperature for a material that is a quantum nonrelativistic Coulomb system of electrons and nuclei of one type has been considered in analyzing the features of the dielectric function beyond the adiabatic approximation for nuclei. It has been found that the isothermal com pressibility of the material diverges at the metal-insulator transition. The static conductivity vanishes because the screening length of the Coulomb interparticle interaction in the "true" dielectric state is larger than any characteristic size and the screening effect is reduced to only a change in the interaction amplitude. In the presence of the density range corresponding to the true dielectric state, the material is highly probable in the self compressed state characterized by zero pressure. The possibility of the description of such a state in the adiabatic approximation for nuclei of the material has been considered using the virial theorem.