Chapter 41: Conduction of Electricity in Solids

Expert-verified

Pages: 1252 - 1275

Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

Answers without the blur.

Just sign up for free and you're in.

64 Questions for Chapter 41: Conduction of Electricity in Solids

Show that the probability P(E) that an energy level having energy Eis not occupied isP(E)=1e-∆EIkT+1where∆E=E-EFwhere .

Found on Page 1273
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?

Found on Page 1272
Calculate N0(E)the density of occupied states, for copper at 10000K for energy Eof (a)4.00eV , (b) 6.75eV, (c) 7.00eV, (d) 7.25eV, and (e) 9.00eV. Compare your results with the graph of Fig. 41-8b.The Fermi energy for copper is 7.00eV.

Found on Page 1273
The energy gaps Egfor the semiconductors silicon and germanium are, respectively, 1.12 and 0.67eV . Which of the following statements, if any, are true? (a) Both substances have the same number density of charge carriers at room temperature. (b) At room temperature, germanium has a greater number density of charge carriers than silicon. (c) Both substances have a greater number density of conduction electrons than holes. (d) For each substance, the number density of electrons equals that of holes.

Found on Page 1272
What is the probability that, at a temperature of T = 300 K, an electron will jump across the energy gapEg(=5.5eV) in a diamond that has a mass equal to the mass of Earth? Use the molar mass of carbon in Appendix F; assume that in diamond there is one valence electron per carbon atom.

Found on Page 1273
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).

Found on Page 1273
Assume that the total volume of a metal sample is the sum of the volume occupied by the metal ions making up the lattice and the (separate) volume occupied by the conduction electrons. The density and molar mass of sodium (a metal) are 971kg/m3and 23.g/mol, respectively; assume the radius of the Na+ ion is . (a) What percent of the volume of a sample of metallic sodium is occupied by its conduction electrons? (b) Carry out the same calculation for copper, which has density, molar mass, and ionic radius of 8960kg/m3, 63.5g/mol, and 135 pm, respectively. (c) For which of these metals do you think the conduction electrons behave more like a free-electron gas?

Found on Page 1273
In Eq. 41-6 let, E-EF=∆E=1.00eV. (a) At what temperature does the result of using this equation differ by 1% from the result of using the classical Boltzmann equation P(E)=e-∆E/kT(which is Eq. 41-1 with two changes in notation)? (b) At what temperature do the results from these two equations differ by 10%?

Found on Page 1273
Calculate the number density (number per unit volume) for (a) molecules of oxygen gas at 0.0°Cand 1.0 atm pressure and (b) conduction electrons in copper. (c) What is the ratio of the latter to the former? What is the average distance between (d) the oxygen molecules and (e) the conduction electrons, assuming this distance is the edge length of a cube with a volume equal to the available volume per particle (molecule or electron)?

Found on Page 1273
The Fermi energy of aluminum is 11.6 eV; its density and molar mass are2.70g/cm3and 2.70g/mol, respectively. From these data, determine the number of conduction electrons per atom.

Found on Page 1273

Find Study Materials for

Create Study Materials

Select your language

Chapter 41: Conduction of Electricity in Solids

Fundamentals Of Physics

Answers without the blur.

64 Questions for Chapter 41: Conduction of Electricity in Solids

Related Physics Textbooks with Solutions