Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Question
Chapter 10, Problem 24P
(a)
To determine
The ratio of number of allowed energy levels at
(b)
To determine
The ratio of number of allowed energy levels at
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(a) If EF equals Eo, calculate the Fermi probability of a state being occupied at E=E₂+kT.
(b) If EF equals Ev, determine the probability of a state being empty at E=E,-kT.
(c) Find the probability that an energy level is occupied by an electron when the state is
positioned above the Fermi level by 5kT.
(d) Determine the probability that an energy level is occupied by an electron when the
state is positioned above the Fermi level by 10kT.
Utilize Fermi-Dirac statistics with a temperature of T=300K.
The Fermi energy of copper at 300 K is 7.05 eV. (a) What is the average energy of a conduction electron in copper at 300 K? (b) At what temperature would the average translational energy of a molecule in an ideal gas be equal to the energy calculated in part (a)?
The Fermi energy for gold is 5.51 eV at T = 293 K. (a) Find the average energy of a conduction electron at that temperature. (b) Compute the temperature at which the average kinetic energy of an ideal gas molecule would equal the average energy you found in (a). (c) Comment on the relative temperatures in (a) and (b).
Chapter 10 Solutions
Modern Physics
Ch. 10 - Prob. 1QCh. 10 - Prob. 2QCh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 8PCh. 10 - The light from a heated atomic gas is shifted in...
Ch. 10 - Prob. 10PCh. 10 - To obtain a more clearly defined picture of the...Ch. 10 - Prob. 12PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 26P
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Similar questions
- To obtain a more clearly defined picture of the FermiDirac distribution, consider a system of 20 FermiDirac particles sharing 94 units of energy. By drawing diagrams like Figure P10.11, show that there are nine different microstates. Using Equation 10.2, calculate and plot the average number of particles in each energy level from 0 to 14E. Locate the Fermi energy at 0 K on your plot from the fact that electrons at 0 K fill all the levels consecutively up to the Fermi energy. (At 0 K the system no longer has 94 units of energy, but has the minimum amount of 90E.) 1 Microstate8 others? One of the nine equally probable microstates for 20 FD particles with a total energy of 94E.arrow_forwardWhy does the horizontal Line in the graph in Figure 9.12 suddenly stop at the Fermi energy? Figure 9.12 (a) Density of state for a free electron gas; (b) probability that a state is occupied at T = 0 K; (c) density if occupied states at T = 0 k.arrow_forwardASAParrow_forward
- Consider a sample of GaAs at 300 K in which the Fermi level is 0.40 eV below the bottomof the conduction band. For the following questions, the Boltzmann approximation isvalid.a) What is the probability the energy state Ec is occupied by an electron?b) What is the probability a state E = 0.20 eV above the valence band is empty?c) What is the carrier concentration of electrons in this sample? Holes?arrow_forwardThe Fermi energy for copper is EF = 7.00 eV. For copper at T = 1020 K, (a) find the energy of the energy level whose probability of being occupied by an electron is 0.911. For this energy, evaluate (b) the density of states N(E) and (c) the density of occupied states No(E).arrow_forwardUsing the Fermi function, estimate the temperature at which there is a 1% probability that an electron in a solid will have an energy of 0.5 eV above the Fermi energy.arrow_forward
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