Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Silver melts at $961 ° C$ . At the melting point, what fraction of the conduction electrons is in states with energies greater than the Fermi energy of 5.5 eV? (See Problem 21)

The fraction of the conduction electrons with greater energies than the Fermi energy of silver is 0.03.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

a) Melting point of silver, $M P (T) = 961 ° C$

b) Fermi energy of silver, $E_{F} = 5.5 e V$

Step 2: Understanding the concept of fraction of conduction electrons

The electrons that are free to move within the walls of the substance and are not bound to any atom, are called conduction electrons or free electrons.

Formula:

The fraction of electrons above Fermi level at the melting point are-

$f r a c = \frac{3 kT}{2 E_{F}} where k = 8.62 \times 10^{- 5} eV / K$ (i)

Step 3: Calculation of the fraction of conduction electrons

Using the given data in equation (i), we can get the value of the fraction of the conduction electrons of the copper material as follows:

$f r a c = \frac{3 (8.62 \times 10^{- 5} eV / K) (961 + 273) K}{2 (5.5 eV)} = 0.03$

Hence, the value of the fraction is 0.03.

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Fundamentals Of Physics

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Short Answer

Silver melts at $961 ° C$ . At the melting point, what fraction of the conduction electrons is in states with energies greater than the Fermi energy of 5.5 eV? (See Problem 21)

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of fraction of conduction electrons

Step 3: Calculation of the fraction of conduction electrons

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Fundamentals Of Physics

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Short Answer

Silver melts at 961°C. At the melting point, what fraction of the conduction electrons is in states with energies greater than the Fermi energy of 5.5 eV? (See Problem 21)

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of fraction of conduction electrons

Step 3: Calculation of the fraction of conduction electrons

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Silver melts at $961 ° C$ . At the melting point, what fraction of the conduction electrons is in states with energies greater than the Fermi energy of 5.5 eV? (See Problem 21)