Value of Cylotron frequency?

1. Apr 26, 2012

arunashish

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

2. Apr 26, 2012

Born2bwire

3. Apr 26, 2012

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 Bz(r) must decrease as a function of r (radius) of orbit.