Calculate fermi temperature and Fermi velocity for an atom whose fermi level is 3.2 eV.
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Presentation on Problems on Fermi -Dirac distribution function By Ms.Chetana Magadum Smt. Kasturbai Walchand College,Sangli
2. Problems on Fermi –Dirac distribution function:- 1. The Fermi level for potassium is 2.1eV. Calculate the velocity of the electron at the Fermi level. Solution:- We have the formula, = 1 2 2 Therefore, = 2 1 2 = 2 × 2.1 × 1.602 × 10−19 / 9.11 × 10−31 1 2 = 8.6 × 10 5 /.
3. 2. In a solid, consider the energy level lying 0.01 eV below Fermi level. What was is the probability of this level not being occupied by an electron? Given : Energy Difference − = 0.01 Thermal energy at room temperature, kT=0.026eV Solution:- We have the formula, = 1 1 + −( −)/ = 1 1 + −0.01/0.026 = 1 1 + −0.3846 = 0.595 Therefore, = 1 − = 1 − 0.595 = 0.405