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Oscillations, Waves, and Interactions - GWDG

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358 R. Pottel, J. Haller <strong>and</strong> U. Kaatze<br />

respectively. The parameter mDH (0≤ mDH ≤1) reflects correlations between different<br />

clusters with mDH = 1 constituting the limiting situation of ideally connected<br />

relaxation sequences in the cluster system. Such alternative considerations of the<br />

sound absorption spectra of electrolyte solutions have been currently renewed by a<br />

distribution function theory in which the sonic relaxations in the spectra are related<br />

to the long-range concentration fluctuations within the liquid [32]. We mention that<br />

the ultrasonic absorption spectra of 1:1 valent tetraalkylammonium bromide aqueous<br />

solutions exhibit strong indications of precritical fluctuations in the local concentration<br />

[33].<br />

4.3 Other 2:1 valent salts<br />

Present ultrasonic spectrometry is sufficiently sensitive to indicate the small-amplitude<br />

relaxations due to ion complex formation in aqueous solutions of 2:1 valent salts [34,<br />

35,50]. For a transition-metal-chloride solution an example is given in Fig. 4. A spectrum<br />

with even smaller relaxation amplitude is shown in Fig. 23 where the ultrasonic<br />

excess absorption for a solution of an alkaline earth metal chloride is displayed versus<br />

frequency. All relevant excess absorption spectra measured so far can be well represented<br />

by a single Debye-type relaxation term (Eq. (7)). Parameters as resulting<br />

from a regression analysis of the spectra are given in Table 3.<br />

The relaxation times τ of the solutions are strikingly similar. Obviously, the τ<br />

values do not noticeably depend upon the cation radius <strong>and</strong> on the electronic structure<br />

of the cation. As contact ion pair formation sensitively reflects the properties<br />

of the cations the observed relaxation is unlikely due to a process that involves in-<br />

Figure 23. Ultrasonic excess absorption spectrum for a 1 mol/l solution of SrCl2 in water<br />

at 25 ◦ C [35]. In order to disclose the excess absorption not to be due to systematic errors in<br />

the measurements, data from different specimen cells <strong>and</strong> apparatus are marked by figure<br />

symbols. The line represents a Debye relaxation term (Eq. (7)) with the parameter values<br />

given in Table 3.

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