Question

Calculate the fermi velocity given fermi energy is 11.63 eV.

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Answer 1

Fermi energy equals 1/2 of the product of mass and velocity square of the particle.

Explanation:

• Fermi Velocity is the speed when a particle is put in Fermi energy and occupies the highest kinetic energy.
• Fermi energy equals 1/2 of the product of mass and velocity square of the particle.
• $E_{f} = \frac{mV^{2} }{2}$
• Where Ef is fermi energy = 11.63 ev, m is the mass of the particle, and V is the Fermi velocity of the particle.
• Let the mass of the particle be equal to the electron mass i.e. e
• Then, $V = \sqrt{\frac{2E_{f} }{m} }$  
• so, $V = \sqrt{\frac{2*11.63e}{e} } = \sqrt{23.26} = 4.82 m/s$
• Hence, Fermi's velocity is 4.82 meters per second.