Graduate Can a Solid Vibrate at Debye Max Frequency?

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SUMMARY

A solid can vibrate at the Debye maximal frequency, but this scenario is contingent upon the atomic structure of the crystal. In cases where atoms vibrate independently around their equilibrium positions, the system aligns with the Einstein model, which describes such behavior using a singular vibration frequency. This model simplifies the vibrational dynamics of solids, particularly in crystalline structures.

PREREQUISITES
  • Understanding of solid-state physics
  • Familiarity with the Einstein model of solids
  • Knowledge of Debye frequency concepts
  • Basic principles of atomic vibrations in crystals
NEXT STEPS
  • Research the Einstein model of solids in detail
  • Explore the concept of Debye frequency and its implications
  • Study the vibrational modes of crystalline structures
  • Investigate the differences between Einstein and Debye models
USEFUL FOR

Physicists, materials scientists, and students studying solid-state physics who are interested in the vibrational properties of crystalline materials.

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TL;DR
Debye model
Can a solid vibrate with only one frequency-Debye maximal frequency?
 
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Well, if you had a crystal where atoms would vibrate independently around their equilibrium position, this system would be described by the Einstein model with only one vibration frequency.
 
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I am observing an irregular, aperiodic noise pattern in the reflection signal of a high-finesse optical cavity (finesse ≈ 20,000). The cavity is normally operated using a standard Pound–Drever–Hall (PDH) locking configuration, where an EOM provides phase modulation. The signals shown in the attached figures were recorded with the modulation turned off. Under these conditions, when scanning the laser frequency across a cavity resonance, I expected to observe a simple reflection dip. Instead...

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