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-The Fermi energy in three dimensions at T = 0 is given by
E_F = 0.365 eV · nm² (N/V) ^2/3
The Fermi energy for potassium is approximately

Question

Use the following to answer the next question.

-The Fermi energy in three dimensions at T = 0 is given by
E_F = 0.365 eV · nm² (N/V) ^2/3
The Fermi energy for potassium is approximately

Quizplus · Accepted Answer

The given formula provides the expression for the Fermi energy (E_F) in terms of the number density (N/V) for a three-dimensional system at absolute zero temperature. To determine the Fermi energy for potassium, we need to substitute the appropriate values. The number density of potassium (N/V) is 4.33 × 10^28 m^-3. Thus, substituting this value into the above formula, we get: E_F = 0.365 eV · nm² (4.33 × 10^28 m^-3)^2/3 = 2.11 eV Hence, the best choice is D, with a Fermi energy of 2.11 eV.

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