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Chapter 41: Q51P (page 1275)

The Fermi energy of copper is 7.0eV. Verify that the corresponding Fermi speed is 1600 km/s.

Short Answer

Expert verified

The corresponding Fermi speed for Fermi energy value 7.0 eV is 1600 km/s .

Step by step solution

01

The given data

Fermi energy of copper, EF=7.0eV

02

Understanding the concept of energy and speed

The energy of a body due to its speed, is known as kinetic energy of the body. The total work done in moving from one place to another is stored in the bodyin the form of kinetic energy.

Formula:

The kinetic energy of a system,E=12mv2 (i)

03

Calculation of the Fermi energy

Using the given data of Fermi energy of copper in equation (i), we can get the value of the corresponding Fermi speed as follows:

vf=2EFm=c2EFmc2=3脳105km/s27.0eV5.11脳105eV=1.6脳103km/s

Hence, the value of the speed is 1.6脳103km/s.

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Most popular questions from this chapter

If the temperature of a piece of a metal is increased, does the probability of occupancy 0.1 eV above the Fermi level increase, decrease, or remain the same?

(a) Using the result of Problem 23 and 7.00eVfor copper鈥檚 Fermi energy, determine how much energy would be released by the conduction electrons in a copper coin with mass3.10g if we could suddenly turn off the Pauli exclusion principle. (b) For how long would this amount of energy light a100 Wlamp? (Note: There is no way to turn off the Pauli principle!)

In a silicon lattice, where should you look if you want to find (a) a conduction electron, (b) a valence electron, and (c) an electron associated with the 2psubshell of the isolated silicon atom?

Pure silicon at room temperature has an electron number density in the conduction band of about 5.00脳1015m-3and an equal density of holes in the valence band. Suppose that one of every 107silicon atoms is replaced by a phosphorus atom. (a) Which type will the doped semiconductor be, nor p? (b) What charge carrier number density will the phosphorus add? (c) What is the ratio of the charge carrier number density (electrons in the conduction band and holes in the valence band) in the doped silicon to that in pure silicon?

Figure 41-1bshows 18 atoms that represent the unit cell of silicon. Fourteen of these atoms, however, are shared with one or more adjoining unit cells. What is the number of atoms per unit cell for silicon? (See Question 2)
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