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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=3×105km/s27.0eV5.11×105eV=1.6×103km/s

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

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Most popular questions from this chapter

Silver melts at 961°C. At the melting point, what fraction of the conduction electrons is in states with energies greater than the Fermi energy of 5.5 eV? (See Problem 21)

Consider a copper wire that is carrying, say, a few amperes of current. Is the drift speed vdof the conduction electrons that form that current about equal to, much greater than, or much less than the Fermi speed vFfor copper (the speed associated with the Fermi energy for copper)?

A certain computer chip that is about the size of a postage stamp 2.54cm×2.22cmcontains about 3.5 million transistors. If the transistors are square, what must be their maximumdimension? (Note:Devices other than transistors are also on the chip, and there must be room for the interconnections among the circuit elements. Transistors smaller than 0.7μmare now commonly and inexpensively fabricated.)

The Fermi energy for copper is 7.00eV. For copper at 1000K, (a) find the energy of the energy level whose probability of being occupied by an electron is 0.900. For this energy, evaluate (b) the density of states N(E) and (c) the density of occupied states N0(E).

Figure 41-1ashows 14 atoms that represent the unit cell of copper. However, because each of these atoms is shared with one or more adjoining unit cells, only a fraction of each atom belongs to the unit cell shown. What is the number of atoms per unit cell for copper? (To answer, count up the fractional atoms belonging to a single unit cell.)
See all solutions

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