Gaussian Transit Characteristics

FIG. 12 The behavior of the internal energy U (per site), heat capacity Cy (per site), the average Euler characteristic (x) and its variance (x") — (x) close to the transition line and at the transition to the lamellar phase for/o = 0. The changes are small at the transition and the transition is very weakly first-order. The weakness of the transition is related to the proliferation of the wormhole passages, which make the lamellar phase locally very similar to the microemulsion phase (Fig. 13). Note also that the values of the energy and heat capacity are not very much different from their values (i.e., 0.5 per site) in the Gaussian approximation of the model [47]. (After Ref. 49.)... 

It is seen that

characteristic behavior suggests that the molecular shape of PBLG in the mixed solvent studied does not differ very much from swollen spheres of randomly coiled polymers at stages where the helical fraction is less than about 0.6. In this connection, it is worth recalling from Chapter C, Section 2.b that the dimensional features of a polypeptide remain close to Gaussian at such stages of helix-coil transition, provided the chain is sufficiently long. 

The information of an EPR spectrum is contained in (i) the resonance frequency (in practice the g value), (ii) the line shape or spectral structure, and (iii) the relaxation behaviour. Comparison of the characteristic parameters with those of known species often leads to identification of the paramagnetic entity under investigation. More fundamentally, they give insight into the magnetic interactions to which the unpaired electron is subjected, and thus into the structure of its environment. In actuality, the stick spectrum of Fig. Ic will consist of resonances with Lorentzian line shape in the case of individual transitions as in Fig. 1, or with Gaussian line shape when many different unresolved hyperfine interactions are... 

If the inhomogeneous distribution in Raman transition frequency is assumed to be a Gaussian with a characteristic width (i.e. standard deviation of the transition frequencies), 5, the intensity of the Raman echo signal I(Ati,At2) is given by the following equation, ... 

---