Physics20795 marksNumerical: Fermi energy aluminumClassical and quantum mechanical free electron model
The density of aluminum is 2.70 g/cm3 and its molecular weight is 26.98 g/mole. a. Calculate the Fermi energy b. If the experimental value of EF is 12 eV, What is the electron effective mass in aluminum? Aluminum is trivalent.
The density of aluminum is 2.70 g/cm3 and its molecular weight is 26.98 g/mole. a. Calculate the Fermi energy b. If the experimental value of EF is 12 eV, What is the electron effective mass in aluminum? Aluminum is trivalent. [5]
Quantity Value ------ Density $\rho$ $2.70$ g/cm³ Molecular weight $M$ $26.98$ g/mol Valency $Z$ $3$ (trivalent) Experimental $EF$ $12$ eV $NA$ $6.022\times10^{23}$ /mol $\hbar$ $1.055\times10^{-34}$ J·s $me$ $9.11\times10^{-31}$ kg --- Electron density: $$n = \frac{Z,\rho,NA}{M} = \frac{3\time...