[Layla sh]

اتمني المساعدة في هـذة الاسئله

1) Consider a 1.00g piece of Na.
a. How many conduction electrons are there?



b. How many electron states are there in each energy band?





2) Two free electron wave functions at the boundary of the 1st Brillouin zone (k = +/- π/a) has the form



One of these equation represents an electron travelling in the +x direction and the other one represents an electron travelling in the –x direction. If ψ1 is the sum of these two waves, calculate the probability function of ψ1.














3) Find the Fermi energy and Fermi velocity of conduction electrons in Na metal given that Na metal is a bcc structure with a = 4.3 Å. Assume n goes as 1/V, where V is the primitive cell volume.
 














4) Assuming the free electron theory, calculate the Fermi energy of fcc Al with a =4Å. Again assume