Solving Cyclotron Resonance: Azbel-Kaner Method

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    Cyclotron Resonance
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SUMMARY

The discussion focuses on the Azbel-Kaner method for solving cyclotron resonance, where a magnetic field is applied parallel to the sample surface to induce cyclotron motion. The resonance condition is defined as ω=n.ω', with ω' being the cyclotron frequency calculated as eB/m'. Participants emphasize the importance of scanning frequency ranges to identify discrete resonance frequencies, such as 2.6 GHz, 3.9 GHz, and 5.2 GHz, which can indicate a fundamental resonance frequency of 1.3 GHz. The need for specific equipment to measure resonance frequencies during experiments is also highlighted.

PREREQUISITES
  • Understanding of cyclotron motion and resonance principles
  • Familiarity with electromagnetic fields and their effects on charged particles
  • Knowledge of frequency scanning techniques in experimental physics
  • Experience with resonance measurement equipment
NEXT STEPS
  • Research the principles of cyclotron resonance in detail
  • Learn about the Azbel-Kaner method and its applications in solid-state physics
  • Investigate the types of equipment used for measuring resonance frequencies, such as vector network analyzers
  • Explore frequency scanning techniques and data analysis methods for resonance detection
USEFUL FOR

Physicists, experimental researchers, and students studying solid-state physics or electromagnetic theory, particularly those interested in cyclotron resonance phenomena.

thuytran
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Hi, I am a new member. May you help me with this problem?
In Azbel-Kaner cyclotron resonance, a B field is placed parallel to the sample surface to make cyclotron motion, an oscillation electric field is place to induce resonance.

There is a link about this:
http://books.google.com.tw/books?id...n resonance+de Haas van alphen effect&f=false

The resonance occurs when ω=n.ω' where ω'=eB/m' (cyclotron frequency_unknown value, we want to determine this) and ω is the frequency of Electric field E (known value). But I don't know how can we know when the resonances occur? ω=ω' or ω=2ω', ...

Thank you a lot!
 
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You can scan some frequency range, and you will see discrete steps between the resonance frequencies. If you see resonance at 2.6 GHz, 3.9 GHz, 5.2GHz, ..., (arbitrary example) you can guess that the resonance frequency is 1.3 GHz.
 
Thanks a lot for your reply!
I am curious about how we know that the resonance occur when we scan the frequency of the E field. In experiment, I think there must have an equipment so that we can know at which value of the frequency range have resonance. But I don't know what is the equipment in this case? Could you help me, please?
 

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