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1. Show that the mean velocity of an electron in an electron gas at the absolute zero of temperature is ve where vr is the velocity of an electron at the Fermi energy. 2. Calculate the Fermi energy for the valence electrons in sodium metal given that the valency of sodium is one, the density of sodium is 097 g cm, the mass of the electron is 9-05 x 10-28 Planck's constant is 6-62 x 1-27 erg sec, Avogadro's number is 6-025 x 1023 per gramme molecule and the atomic weight of şodium metal is 23. (Ans: (0) = 3-12 eV, T 37,000°K.) 3. Find the occupation probability of a state 0.2 eV above and below fermi energy at T 50 K and T 1000 K. 4. Find the energy range (in units of kT) in which the fermi function drops from 0.9 to 0.1

1. Show that the mean velocity of an electron in an electron gas at the absolute zero of temperature is ve where vr is the velocity of an electron at the Fermi energy. 2. Calculate the Fermi energy for the valence electrons in sodium metal given that the valency of sodium is one, the density of sodium is 097 g cm, the mass of the electron is 9-05 x 10-28 Planck's constant is 6-62 x 1-27 erg sec, Avogadro's number is 6-025 x 1023 per gramme molecule and the atomic weight of şodium metal is 23. (Ans: (0) = 3-12 eV, T 37,000°K.) 3. Find the occupation probability of a state 0.2 eV above and below fermi energy at T 50 K and T 1000 K. 4. Find the energy range (in units of kT) in which the fermi function drops from 0.9 to 0.1

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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1. Show that the mean velocity of an electron in an electron gas at the absolute zero of temperature is ve where vr is the velocity of an electron at the Fermi energy. 2. Calculate the Fermi energy for the valence electrons in sodium metal given that the valency of sodium is one, the density of sodium is 097 g cm, the mass of the electron is 9-05 x 10-28 Planck's constant is 6-62 x 1-27 erg sec, Avogadro's number is 6-025 x 1023 per gramme molecule and the atomic weight of sodium metal is 23. (Ans: (0) = 3-12 eV, T 37,000°K.) 3. Find the occupation probability of a state 0.2 eV above and below fermi energy at T 50 K and T 1000 K. 4. Find the energy range (in units of kT) in which the fermi function drops from 0.9 to 0.1
Transcribed Image Text:1. Show that the mean velocity of an electron in an electron gas at the absolute zero of temperature is ve where vr is the velocity of an electron at the Fermi energy. 2. Calculate the Fermi energy for the valence electrons in sodium metal given that the valency of sodium is one, the density of sodium is 097 g cm, the mass of the electron is 9-05 x 10-28 Planck's constant is 6-62 x 1-27 erg sec, Avogadro's number is 6-025 x 1023 per gramme molecule and the atomic weight of sodium metal is 23. (Ans: (0) = 3-12 eV, T 37,000°K.) 3. Find the occupation probability of a state 0.2 eV above and below fermi energy at T 50 K and T 1000 K. 4. Find the energy range (in units of kT) in which the fermi function drops from 0.9 to 0.1
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