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Oscillations, Waves, and Interactions - GWDG

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

range [50]. Ion complex formation of the subgroup metal ion Cu 2+ seems to be stabilized<br />

by the Jahn-Teller effect. There are indications of an additional low-frequency<br />

relaxation term in the spectra of CuCl2 solutions which has not been covered by the<br />

measurements because transducer electrodes of the resonator cells were corroded by<br />

the samples [50]. Likely this low-frequency term reflects the equilibrium between the<br />

ion pairs <strong>and</strong> the outer-sphere complexes.<br />

Also striking is the substantial increase in the amplitude A of calcium salt solutions<br />

when chloride is substituted by nitrate (Table 3). We suppose stronger interactions<br />

of (Ca 2+ )aq with the nitrate ion, due to its lone pair electrons <strong>and</strong> its delocalized π<br />

orbital [104], than with the chloride ions with its spherical s 2 p 6 electron configuration.<br />

An unexplained result is the considerably smaller difference in the amplitudes of<br />

MgCl2 <strong>and</strong> Mg(NO3)2 solutions.<br />

5 Conclusions<br />

Multistep associations of ions have been among the first “immeasurable fast” reactions<br />

[1] that have been effectively measured <strong>and</strong> described in detail [9,10]. Nevertheless<br />

still today much interest is directed towards these reactions. Though the Eigen-<br />

Tamm mechanism has been verified by broadb<strong>and</strong> ultrasonic spectrometry of sc<strong>and</strong>ium<br />

sulfate solutions [17] the existence of outer-outer sphere complexes in solutions<br />

of 2:2 valent salts is still under discussion [32]. As early evaluations of experimental<br />

spectra, without any assistance from computer facilities, used a slightly incorrect<br />

high-frequency background term in the ultrasonic excess absorption spectra, a distribution<br />

of relaxation times may have been simulated. More recent broadb<strong>and</strong> spectra<br />

of MnSO4 solutions (Fig. 9) reveal only two Debye-type relaxation terms within the<br />

frequency range of measurements. These terms are assigned to the coupled equilibria<br />

between completely dissociated ions <strong>and</strong> outer-sphere complexes <strong>and</strong> between<br />

the latter <strong>and</strong> contact ion pairs. Halides of second subgroup metals, such as zinc<br />

chloride, display a broad variety of ion complex structures in solution. Their spectra<br />

have indeed been discussed in terms of a complex equilibrium between stoichiometrically<br />

well-defined species [30] but have been also considered assuming fluctuating<br />

ion clusters with intra- <strong>and</strong> intercluster correlations [31]. Small-amplitude ultrasonic<br />

relaxation terms have been revealed for solutions of 2:1 valent electrolytes <strong>and</strong> have<br />

been related to the equilibrium between the complex of encounter <strong>and</strong> the outersphere<br />

complexes [34,35]. This equilibrium is of significance also for biochemistry as<br />

it may interfere with other association mechanisms, like counter ion condensation on<br />

polyelectrolytes, carbohydrate-cation interactions [107], as well as inclusion complex<br />

formation [108].<br />

Acknowledgments<br />

We are indebted to the technicians of the institute for their continual support with<br />

precision engineering components, electronic devices, computer facilities, <strong>and</strong> figure<br />

layout.

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