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• W2001232790 abstract "Approximately 60 cylindrically shaped single crystals of pure and cadmium-doped (%1 Cd) tin in the tetragonal phase were prepared. Electrical-resistivity determinations were made at 373, 273, 77, and 4.2ifmmode^circelsetextdegreefi{}K. An investigation was made of the variation of the superconducting critical-field parameters with impurity content. The anisotropy of the temperature-dependent electrical resistivity $ensuremath{rho}(T)$ for pure tin was determined. $frac{{ensuremath{rho}}_{mathrm{II}}(T)}{{ensuremath{rho}}_{ensuremath{perp}}(T)}$ is found to be 1.53ifmmodepmelsetextpmfi{}0.01 at 373ifmmode^circelsetextdegreefi{}K, 1.555ifmmodepmelsetextpmfi{}0.009 at 273ifmmode^circelsetextdegreefi{}K, and 1.684ifmmodepmelsetextpmfi{}0.010 at 77ifmmode^circelsetextdegreefi{}K. ${ensuremath{rho}}_{ensuremath{perp}}(T)$ is 13.25ifmmodepmelsetextpmfi{}0.05, 9.05ifmmodepmelsetextpmfi{}0.03, and 1.772ifmmodepmelsetextpmfi{}0.006 ensuremath{mu}ensuremath{Omega}-cm at 373, 272, and 77ifmmode^circelsetextdegreefi{}K respectively. The anisotropy of the residual resistivity ${ensuremath{rho}}_{0}$ for cadmium impurity was determined at 4.2ifmmode^circelsetextdegreefi{}K by two different experimental methods in different regions of impurity concentration $x$. $frac{{ensuremath{rho}}_{0mathrm{II}}}{{ensuremath{rho}}_{0ensuremath{perp}}}$ is found to be 1.6ifmmodepmelsetextpmfi{}0.1 in both regions. The residual resistivity for any specific crystal orientation is found to vary linearly with $x$ ($frac{{ensuremath{rho}}_{0ensuremath{perp}}}{x}=1.39$ ensuremath{mu}ensuremath{Omega} cm/at.%). Deviations from Matthiessen's rule are found to vary linearly [$ensuremath{rho}{(T)}_{mathrm{impure}}ensuremath{-}ensuremath{rho}{(T)}_{mathrm{pure}}=0.16{ensuremath{rho}}_{0ensuremath{perp}}$] with impurity concentration and appear to be temperature-independent for $77ifmmode^circelsetextdegreefi{}mathrm{K}ensuremath{le}Tensuremath{le}373ifmmode^circelsetextdegreefi{}mathrm{K}$. The general features of the data relating the change in superconducting transition temperature (${T}_{c}$) with doping are in good agreement with the data of Lynton, Serin, and Zucker. However, there is evidence for anomalous ${T}_{c}$ behavior in the region of composition ($xensuremath{approx}0.3%$) at which a lattice-spacing anomaly was reported by Lee and Raynor. The development of vacant sites as reported by Lee and Raynor in this region is not observed in plots of ${ensuremath{rho}}_{0ensuremath{perp}}$ versus $x$, however. The theory of Markowitz and Kadanoff is applied to the data relating ${T}_{c}$ to impurity concentration. Reasonable agreement between the theory and experiment is found. The mean-squared relative anisotropy of the superconducting energy gap parameter $〈{a}^{2}〉$, is found from this analysis to be 0.023. A recent theoretical treatment due to Clem which describes the change in the critical-field parameters with doping is compared to our experimental results. The so-called similarity conditions are found not to be satisfied. The shape of the reduced critical-field curve is found to be a function of impurity concentration. The value of $〈{a}^{2}〉$ obtained from our data employing Clem's equations is 0.022, in good agreement with the value obtained from the ${T}_{c}$ data alone. The data describing the reduced critical-field curve of pure tin is in good agreement with the results od Shaw et al. The change in shape of the reduced critical-field curve can be understood both qualitatively and quantitatively in terms of the reduction of the effects of $〈{a}^{2}〉$ with doping as given by Clem's theoretical treatment." @default.
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• W2001232790 date "1966-10-07" @default.
• W2001232790 modified "2023-09-28" @default.
• W2001232790 title "Superconducting Properties and Anisotropic Electrical Resistivities of Pure and Cadmium-Doped Tin" @default.
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• W2001232790 doi "https://doi.org/10.1103/physrev.150.346" @default.
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