Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 41, Problem 7P
To determine

To calculate:

the probability that a state 0.0620 eV above Fermi energy will be occupied at

(a) 0 K

(b)  320 K

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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
10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(E) = constant = D ɛ>0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.
A 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?
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