Bulk linear susceptibility, relationship

Thus the set of parameters yield by fitting comprises 7o, To, s, and two amplitudes C and C3. From the definitions of the latter [see Eqs. (4.121) and (4.122)] one sees that they incorporate three material parameters of the system. That means that either /, K, or ip may be taken arbitrary. Note that if one would have dealt with just linear susceptibility measurements, then C3 would not appear, and the uncertainty of the choice would have been enhanced, allowing two of the three parameters as arbitrary. In our case, we set the magnetization of the cobalt particles equal to its bulk value I = 1460 G. On doing that, one gets explicit relationships... 

Because of the bulk of comparable material available, it has been possible to use half-wave potentials for some types of linear free energy relationships that have not been used in connection with rate and equilibrium constants. For example, it has been shown (7, 777) that the effects of substituents on quinone rings on their reactivity towards oxidation-reduction reactions, can be approximately expressed by Hammett substituent constants a. The susceptibility of the reactivity of a cyclic system to substitution in various positions can be expressed quantitatively (7). The numbers on formulae XIII—XV give the reaction constants Qn, r for the given position (values in brackets only very approximate) ... 

The odd order susceptibilities are nonzero in all materials. However, owing to the fact that x is a third rank tensor, the second order susceptibility is nonzero only in noncentrosym-metric materials, that is, materials possessing no center of symmetry. The focus of this paper is on second order processes, and the relationships between the bulk susceptibility, second harmonic generation, and the linear electro-optic effect. For second harmonic generation, Xijl is symmetric in ij, leading to the relationship between the second harmonic coefficient dijk and the bulk second order susceptibility x 2)[i2l... 

For the intermediate-valence compound YbCuAl, MacLaughlin et al. (1979) observed a linear relationship between and x only for temperatures above the maximum of the bulk susceptibility. For T < == 27 K, this relation was no... 

---