Assume that Sodium is a monovalent free-electron metal and has a body-centric cubic structure. (i) Answer in eV. If the cubic cell side of sodium is 0.4225 nm, calculate its Fermi energy. (ii) Calculate the electrical resistivity of sodium at room temperature (assume a mean-free electron path equal to the inter-atomic separation) and tell why this does not explain the measured conductivity. (iii) If the actual resistivity of a sample of sodium at room temperature is 5x10n cm, estimate its expected thermal conductivity, stating any assumptions you are making.
Assume that Sodium is a monovalent free-electron metal and has a body-centric cubic structure. (i) Answer in eV. If the cubic cell side of sodium is 0.4225 nm, calculate its Fermi energy. (ii) Calculate the electrical resistivity of sodium at room temperature (assume a mean-free electron path equal to the inter-atomic separation) and tell why this does not explain the measured conductivity. (iii) If the actual resistivity of a sample of sodium at room temperature is 5x10n cm, estimate its expected thermal conductivity, stating any assumptions you are making.
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Transcribed Image Text:Assume that Sodium is a monovalent free-electron metal and has a
body-centric cubic structure.
(i) Answer in eV. If the cubic cell side of sodium
is 0.4225 nm, calculate its Fermi energy.
(ii) Calculate the electrical resistivity of sodium
at room temperature (assume a mean-free
electron path equal to the inter-atomic
separation) and tell why this does not explain
the measured conductivity.
(iii) If the actual resistivity of a sample of
sodium at room temperature is 5x10 n cm,
estimate its expected thermal conductivity,
stating any assumptions you are making.
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