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Group A. Q1. Using Fermi function, evaluate the temperature at which there is 1% probability of an electron in a solid having energy 0.5 eV above E, of 5 ev. Q2. Using Fermi Distribution function, obtain the value of f(E) for E - E, = 0.01 ev at 200 K. Q3. If the energy level is lying 0.01 ev above Fermi level in a solid, what is the probability of this level being occupied by an electron at 270?

Group A. Q1. Using Fermi function, evaluate the temperature at which there is 1% probability of an electron in a solid having energy 0.5 eV above E, of 5 ev. Q2. Using Fermi Distribution function, obtain the value of f(E) for E - E, = 0.01 ev at 200 K. Q3. If the energy level is lying 0.01 ev above Fermi level in a solid, what is the probability of this level being occupied by an electron at 270?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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| %7Y , L H Homework 2... Homework Group A. Q1. Using Fermi function, evaluate the temperature at which there is 1% probability of an electron in a solid having energy 0.5 eV above E, of 5 ev. Q2. Using Fermi Distribution function, obtain the value of f(E) for E - E; = 0.01 ev at 200 K. 03. If the ene level is lying 0.01 ev above Fermi level in a solid, what is the probability of this level being occupied by an electron at 270? Q4. Calculate the Fermi energy and Fermi temperature in a metal. The Fermi velocity of electrons in the metal is 0.86 x 10° m/s. Q5. Calculate the temperature at which there is 1% probability of a state with energy 0.5 ev above Fermi energy. Group B. Q1. Calculate the number of states per unit volume in an energy interval of 0.01 ev above the Fermi energy of sodium metal. The Fermi energy of sodium at 0K = 3 eV. Q2. Assuming all the electrons to be free, calculate the total number of states below E = 5 ev in a volume 105 m³. Q3. The Fermi energy of silver is 5 ev, calculate the number of energy states for the free electrons in a cubical box of side 0.02 m lying below energy of 3 ev. Q4. The atomic radius of silver which crystallizes in the FCC structure is 1.4 Å. Calculate E,. Q5. Density of free electrons in aluminium is 18.1 x 1028 m. Calculate its Fermi energy at zero Kelvin.
Transcribed Image Text:| %7Y , L H Homework 2... Homework Group A. Q1. Using Fermi function, evaluate the temperature at which there is 1% probability of an electron in a solid having energy 0.5 eV above E, of 5 ev. Q2. Using Fermi Distribution function, obtain the value of f(E) for E - E; = 0.01 ev at 200 K. 03. If the ene level is lying 0.01 ev above Fermi level in a solid, what is the probability of this level being occupied by an electron at 270? Q4. Calculate the Fermi energy and Fermi temperature in a metal. The Fermi velocity of electrons in the metal is 0.86 x 10° m/s. Q5. Calculate the temperature at which there is 1% probability of a state with energy 0.5 ev above Fermi energy. Group B. Q1. Calculate the number of states per unit volume in an energy interval of 0.01 ev above the Fermi energy of sodium metal. The Fermi energy of sodium at 0K = 3 eV. Q2. Assuming all the electrons to be free, calculate the total number of states below E = 5 ev in a volume 105 m³. Q3. The Fermi energy of silver is 5 ev, calculate the number of energy states for the free electrons in a cubical box of side 0.02 m lying below energy of 3 ev. Q4. The atomic radius of silver which crystallizes in the FCC structure is 1.4 Å. Calculate E,. Q5. Density of free electrons in aluminium is 18.1 x 1028 m. Calculate its Fermi energy at zero Kelvin.
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