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Oscillations, Waves, and Interactions - GWDG

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

Figure 3. Real part ɛ ′ (ν) <strong>and</strong> negative imaginary part ɛ ′′ (ν) of the complex dielectric<br />

spectrum of a solution of 0.051 mol/l NaCl in water at 20 ◦ C [47,48]. Open symbols represent<br />

the dielectric part ɛ ′′ = ɛ ′′<br />

tot − ɛ ′′<br />

σ in the total loss. Triangles on the one h<strong>and</strong> <strong>and</strong> points as<br />

well as circles on the other h<strong>and</strong> indicate results from two institutes [47].<br />

2.2 Measurement techniques<br />

Wide frequency ranges exist for both spectroscopic methods in which absolute measurements<br />

of the liquid properties are enabled by variation of the sample thickness.<br />

In dielectric measurements of aqueous systems the wavelength λ within the liquid at<br />

frequencies roughly above 1 GHz is sufficiently small to enable variable path length<br />

techniques for the determination of the complex propagation constant γ = α+i2π/λ<br />

[38]. In ultrasonic spectrometry the limiting parameter is the absorption coefficient<br />

which only above about 1 MHz is sufficiently large to enable absolute α measurements<br />

[36,37]. At lower frequencies quasistatic ɛ (ν) measurements are performed<br />

with the aid of suitable sample cells, whereas the ultrasonic attenuation coefficient is<br />

obtained from resonator techniques in which the path length of interactions between<br />

the sample <strong>and</strong> the sonic field is virtually increased by multiple reflections.<br />

Figure 5 shows the scheme of a semi-automatic double-beam interferometer for<br />

dielectric measurements in the microwave region [52]. It may be constructed from

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