Value of Cylotron frequency?

arunashish

Can anyone tell me the value of cyclotron frequency with full mathematical proof and explanation?

Born2bwire

Honestly, the Wikipedia article does a satisfactory job of doing so.

http://en.wikipedia.org/wiki/Cyclotron_resonance

*Bob S*

Two things the above formula for proton cyclotron resonance misses:

1) At higher proton energies, the mass in the denominator of the equation becomes relativistic, causing the resonance frequency to drop.

2) For vertical orbit stability, the vertical B field B_z(r) must decrease as a function of r (radius) of orbit.

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arunashish	Value of Cylotron frequency? Tweet Can anyone tell me the value of cyclotron frequency with full mathematical proof and explanation?

Born2bwire Recognitions: Gold Member Science Advisor	Honestly, the Wikipedia article does a satisfactory job of doing so. http://en.wikipedia.org/wiki/Cyclotron_resonance

Bob S	Two things the above formula for proton cyclotron resonance misses: 1) At higher proton energies, the mass in the denominator of the equation becomes relativistic, causing the resonance frequency to drop. 2) For vertical orbit stability, the vertical B field B_z(r) must decrease as a function of r (radius) of orbit.