Susceptibility static

If 5 aj(r) is slowly varying in space, tire long-wavelength limit x-j(k —> 0) reduces to a set of static susceptibilities or thennodynamic derivatives. Now, since for t > 0 the external fields are zero, it is useful to evaluate the one-sided transfomi... 

Fig. 10.14 Measured static susceptibilities for Na and K solutions in NH3 and the calculated spin susceptibility of a set of independent electrons at 240 K (solid line). The diamagnetic contribution of the NH3 molecules has been eliminated from the measured total susceptibility by using the Wiedemann rule. Since the total susceptibility is quite small in concentrated solutions, the errors may be large. O represent data of Huster (1938) on Na solutions at 238 K represent K-NH3 data of Freed and Sugarman (1943) at the same temperature and + represent data of Suchannek et al. (1967) at room temperature for Na-NH3 solutions. From Cohen and Thompson (1968).

This line has an important advantages over the Lorentz line, since in Eq. (385) (i) the static susceptibility does not depend unlike that in Eq. (355a) on the collision frequency y and (ii) the loss curve is asymmetric. However, in contrast to the formula (382) the integral absorption corresponding to (385) diverges ... 

Fig. 4. The concentration dependence of various electronic properties of metal-ammonia solutions, (a) The ratio of electrical conductivity to the concentration of metal-equivalent conductance, as a function of metal concentration (240 K). [Data from Kraus (111).] (b) The molar spin (O) and static ( ) susceptibilities of sodium-ammonia solutions at 240 K. Data of Hutchison and Pastor (spin, Ref. 98) and Huster (static, Ref. 97), as given in Cohen and Thompson (37). The spin susceptibility is calculated at 240 K for an assembly of noninteracting electrons, including degeneracy when required (37).

Many of the different susceptibilities in Equations (2.165)-(2.167) correspond to important experiments in linear and nonlinear optics. x<(>> describes a possible zero-order (permanent) polarization of the medium j(1)(0 0) is the first-order static susceptibility which is related to the permittivity at zero frequency, e(0), while ft> o>) is the linear optical susceptibility related to the refractive index n" at frequency to. Turning to nonlinear effects, the Pockels susceptibility j(2)(- to, 0) and the Kerr susceptibility X(3 —to to, 0,0) describe the change of the refractive index induced by an externally applied static field. The susceptibility j(2)(—2to to, to) describes frequency doubling usually called second harmonic generation (SHG) and j(3)(-2 to, to, 0) describes the influence of an external field on the SHG process which is of great importance for the characterization of second-order NLO properties in solution in electric field second harmonic generation (EFISHG). 

This section is arranged in the following way. The first subparts discuss the static susceptibility, and the details of the quadratic expansion of the kinetic equation, respectively. Thus, the relevant material parameters and all the necessary mathematical schemes are introduced and explained. In Section IV.B.4, the framework obtained is used to derive, calculate, and analyze the set... 

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