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Use the free electron model to estimate the gap parameter ?0 and the transition temperature Tc for (a) aluminum (1.81 x 10^29 electrons/m3 ) and (b) zinc (1.31 x 10^29 electrons/m3 ).

(b) For each superconductor estimate the product ?U of the density of states of a single spin and the electron-phonon parameter. (Debye temperatures are Al – 428K, and Zn- 327K; Critical fields are Al – 7.9 x 10^3 A/m and Zn – 4.2 x 10^3 A/m).

(c) Using the free electron model to estimate the intrinsic coherence length for aluminum. Use the gap parameter calculated above

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