Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 38, Problem 73P

(a)

To determine

The fraction of free electrons in copper that are in energy states above the Fermi energy at 300K .

(b)

To determine

The fraction of free electrons in copper that are in energy states above the Fermi energy at 1000K .

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Q5/ (a) If the Fermi energy of copper at 300K is 7.05 eV, calculate the probability that a state with energy equal to 99.2 % of the Fermi energy is occupied. (b) What is the Debye frequency of copper, if it has Tp of 315K, and find the Debye specific heat capacity at 10K and at 30OK.
The Fermi energies of two metals X and Y are 5 eV and 7eV and their Debye temperatures are 170 K and 340 K , respectively. The molar specific heats of these metals volume at low temperatures be written as at constant can (C, )x =rxT + AxT' and (C, ), =7yT+ A,T³ where y and A are constants. Assuming that the thermal effective mass of the electrons in the two metals are same, which of the following is correct? 7 Ax = 8 (b) Y x 7 Ax 1 (a) = - = - 5'Ay 5' A, 8. Y Y x 5 Аx 1 Y x 5 Аx (c) (d) = 8 = - 7' Ay 7' Ay 8. II II
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