Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 37, Problem 60P
To determine
The fraction of conduction electrons in a metal at absolute zero having energies less than half the Fermi energy.
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The Fermi energy is the highest energy of an electron at 0k.At what temperature can we expect a 10% probability that the electrons in silver have an energy that is 2% above the Fermi energy of 5.5eV?
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Chapter 37 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 37.1 - Prob. 37.1GICh. 37.2 - If a scientist uses microwave technology to study...Ch. 37.3 - Prob. 37.3GICh. 37 - If you push two atoms together to form a molecule,...Ch. 37 - Prob. 2FTDCh. 37 - Prob. 3FTDCh. 37 - Does it make sense to distinguish individual NaCl...Ch. 37 - Prob. 5FTDCh. 37 - Prob. 6FTDCh. 37 - Radio astronomers have discovered many complex...
Ch. 37 - Prob. 8FTDCh. 37 - Prob. 9FTDCh. 37 - Prob. 10FTDCh. 37 - Prob. 11FTDCh. 37 - Prob. 12FTDCh. 37 - Prob. 13FTDCh. 37 - Prob. 14FTDCh. 37 - Prob. 15FTDCh. 37 - Prob. 16ECh. 37 - Prob. 17ECh. 37 - Prob. 18ECh. 37 - Prob. 19ECh. 37 - Prob. 20ECh. 37 - Prob. 21ECh. 37 - Prob. 22ECh. 37 - Prob. 23ECh. 37 - Prob. 24ECh. 37 - Prob. 25ECh. 37 - Prob. 26ECh. 37 - Prob. 27ECh. 37 - Prob. 28ECh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - The critical field in a niobium-titanium...Ch. 37 - The transition from the ground state to the first...Ch. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Youre troubled that Example 37.1 neglects the mass...Ch. 37 - Prob. 60PCh. 37 - The Madelung constant (Section 37.3) is...Ch. 37 - Prob. 62PCh. 37 - (a) Count the number of electron states N(E) with...Ch. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PPCh. 37 - Prob. 69PPCh. 37 - Prob. 70PPCh. 37 - Prob. 71PP
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- Why 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_forwardIf the election number density (N/V) of a metal increases by a factor 8, what happens to the Fermi energy (EF)?arrow_forwardSilver has an atomic radius of 1.44 angstrom. Assuming silver to be monovalent metal, calculate the value of Fermi energy, the Fermi temperature and Fermi velocityarrow_forward
- The occupancy probability at a certain energy E1 in the valence band of a metal is 0.60 when the temperature is 300 K. Is E1 above or below the Fermi energy?arrow_forwardAt what temperature do 1.30% of the conduction electrons in lithium (a metal) have energies greater than the Fermi energy EF, which is 4.70 eV?arrow_forwardThe Fermi energy is the highest energy of an electron at 0K. At what temperature can we expect a 10% probability that the electrons in silver have an energy that is 1% above the Fermi energy of 5.5 eV?arrow_forward
- The fermi energy is the highest energy of an electron at 0K. At what temperature can we expect a 50% probability that the electron is silver have an energy that is 1% above the fermi energy of 5.5eV?arrow_forwardThe Fermi energy of the conduction electrons in lithium metal is 4,7 eV measured from the bottom of the conduction band, what fraction of these electrons are thermally excited at 300 K? Make a rough estimate of the heat capacity of 1 mole of the electron at 10 K.arrow_forwardSilicon is doped with phosphorus atoms (column V of Mendeleev table) with a concentration of 1018 cm-3 a- What is, at 27 °C, the electron density in doped Si. Use this result to derive the hole density. Which type of semiconductor is obtained? b- Calculate, at 27 °C, the position of the Fermi level EF and plot the band diagram.arrow_forward
- At low temperatures, copper has a free-electron concentration n = 8.45 *1028 m-3. Using the free-electron model, find the Fermi energy for solid copper, and find the speed of an electron with a kinetic energy equal to the Fermi energy.arrow_forwardA state 63 meV above the Fermi level has a probability of occupancy of 0.090.What is the probability of occupancy for a state 63 meV below the Fermi level?arrow_forwardThe probability of an electron occupying a state 3kT above the Fermi energy in a particular semiconducting sample is 4.74 x 10-2. What is the probability of a hole occupying a state 3kT below the Fermi energy in the same sample?arrow_forward
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