Kittel's Solid-State Physics: Finding Cutoff Frequency \omega_D

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SUMMARY

The discussion revolves around the determination of the cutoff frequency \(\omega_D\) as presented in Kittel's "Solid-State Physics." Specifically, participants seek clarification on the derivation of equation (23) and its relation to equation (19). The lack of access to the book is a common issue among users, prompting requests for reproduction of the equations for better understanding.

PREREQUISITES
  • Understanding of solid-state physics concepts
  • Familiarity with Kittel's "Solid-State Physics" textbook
  • Basic knowledge of mathematical equations used in physics
  • Ability to interpret and manipulate equations related to frequency
NEXT STEPS
  • Review Kittel's "Solid-State Physics" focusing on equations (19) and (23)
  • Study the derivation of cutoff frequencies in solid-state systems
  • Explore supplementary materials or textbooks on solid-state physics for additional context
  • Engage with online forums or study groups discussing Kittel's work
USEFUL FOR

Students of solid-state physics, educators teaching Kittel's material, and researchers needing clarity on cutoff frequency derivations.

ehrenfest
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Homework Statement


This question refers to Kittel's solid-state physics book.

Above equation (23), Kittel says that a cutoff frequency \omega_D is determined by (19) as" and then he gives equation (23). I have absolutely no idea where equation (23) comes from.


Homework Equations





The Attempt at a Solution

 
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Could you reproduce the equations for those of us who don't have the book handy?
 

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