English translation

The scaling function derived from the theory was published in 1981 [15]:

Equation (3.43) also has an empirical representation [18]:

With Ω_1/2 = 2.1, it follows that:

At this reduced frequency the analytical expression for F(Ω) equals 0.5. Bhattacharjee and Ferrell were uncertain about the precise value of Ω_1/2; determining its actual value is therefore one of the aims of the present work. Changing this parameter alone produces a substantial displacement of F(Ω) along the Ω axis.

For a period, the factor Ω_1/2 = 2.1 was treated as variable within certain limits. Bhattacharjee and Ferrell considered a range from 2.1 to 2.5 and identified this as the weakest point of their theory. Verification of the parameter is consequently an explicit objective of this thesis.

When additional relaxation contributions are included alongside critical and classical absorption, the total attenuation becomes:

The high-frequency Debye processes and the B term together constitute the background absorption (αλ)_bg(f,T). Thus, in the sense of Eq. (3.42), the critical contribution equals total absorption minus background absorption. Two functions are used to describe the critical spectral term: one at T = T_crit [Eq. (3.47)] and another at T ≠ T_crit [Eq. (3.48)], both presented on the following page.

Original mathematical notation preserved from the thesis.