Changes in frequency of an extremely stable isothermal $\mathrm{LC}$ oscillator are associated with the temperature dependence of the surface impedance of a thermally isolated metallic sample placed within the inductor. Even in the anomalous skin-effect regime, where the electronic mean free path is much greater than the rf skin depth, there is a small yet measurable temperature dependence to the surface impedance. The formulas for the surface impedance (valid for the anomalous through classical skin-effect regimes) by Reuter and Sondheimer are used to extract, from the changes in frequency of the oscillator, information related to electronic relaxation rates. The electronic relaxation rates determined in this way are compared to relaxation rates obtained from published dc electrical resistivity data. Cu, Al, and K have yielded consistent temperature dependencies with respect to the dc measurements in certain temperature ranges. A comparison of dc electrical conductivity and surface-impedance measurements is also made through the use of the theoretical work of Manz, Black, Pashaev, and Mills, who find, for the temperature-dependent surface impedance in the extreme anomalous limit, a new relaxation rate different from that in the relaxation-time approximation. This new relaxation rate in certain limits is predicted to be proportional to that characterizing the dc electrical resistivity. The results obtained from copper are the best verification of this prediction. Data from aluminum are about a factor of 5 greater than the model-dependent prediction of Manz et al. Difficulty in achieving a high residual resistance ratio in potassium prevents a comparison through the theory of Manz et al. However, a ${T}^{2}$ dependence observed with potassium at low temperatures is about 150 times greater than that observed in recently reported dc electrical resistivity data. A further theoretical investigation by Black and Mills examined the contribution of electron-electron normal scattering processes to surface impedance in the extreme anomalous limit. Their findings suggest that these electron-electron $N$ processes may fully contribute to the surface-impedance relaxation rate. Our copper and potassium data qualitatively support this suggestion.
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