Question

A metal has a mass density ρ = 8.95 g/cm3 . Assuming the effective mass of electron in the metal m*=0.5m0. The electron rest mass m0 = 9.11×10-31 kg. The atomic mass is 63.5, Avogadro’s number is 6.022×1023 . The Boltzmann constant kB = 1.38×10-23 J/K = 8.62×10-5 eV/K. The reduced Planck constant ћ = 1.55×10-34 J·s. Calculate the following assuming the periodic boundary condition.

(a) the concentration of the conduction electrons (assume that each Copper atom has one electron in the outermost shell.)

(b) The Fermi wavevector kF

(c) The Fermi energy EF and the Fermi velocity vf

(d) The Fermi temperature

Answer 1