Plot nFD(E)/V for electrons whose Fermi energy is 4.8 eV from E=4.5eV to 5.1
eV at T=300 K. Determine from the graph the number of electrons perunit
volume just below the Fermi energy that can move to states justabove the
Fermi energy.

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The density of electron states in a metal can be written as g(E)=AE_F^1/2 .

a) Show that the total number of statesis(2/3)AE_F^2/3 .

b) About what fraction of the conduction electrons arewithink_BT of the Fermi energy?

c) Evaluate this fraction for copper at T = 300K.

The depth of the potential well for free electrons in a metal can be accurately determined by observing that the photoelectric work function is the energy necessary to remove an electron at the top of the occupied states from the metal; an electron in such a state has a Fermi energy. Assuming each atom provides one free electron to the electron gas, compute the depth of the well for the free electrons in gold. The work function for gold is 4.87 eV.

The depth of the potential well for free electrons in a metal canbeaccurately determined by observing that the photoelectricworkfunction is the energy necessary to remove an electron at thetopof the occupied states from the metal; an electron in such astatehas the Fermi energy. Assuming each atom provides onefreeelectron to the gas, compute the depth of the well for thefreeelectrons in gold. The work function for gold is 4.8 eV.

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Plot nFD(E)/V for electrons whose Fermi energy is 4.8 eV from E=4.5eV to 5.1
eV at T=300 K. Determine from the graph the number of electrons perunit
volume just below the Fermi energy that can move to states justabove the
Fermi energy.

Related textbook solutions

Physics: Principles with Applications

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Plot nFD(E)/V for electrons whose Fermi energy is 4.8 eV from E=4.5eV to 5.1eV at T=300 K. Determine from the graph the number of electrons perunitvolume just below the Fermi energy that can move to states justabove theFermi energy.

Related textbook solutions

Physics: Principles with Applications

Related questions

Weekly leaderboard

Plot nFD(E)/V for electrons whose Fermi energy is 4.8 eV from E=4.5eV to 5.1
eV at T=300 K. Determine from the graph the number of electrons perunit
volume just below the Fermi energy that can move to states justabove the
Fermi energy.