1. The problem statement, all variables and given/known data Give expressions for the first and second harmonics of the electron cyclotron frequency. 2. Relevant equations Gyration frequency is ωB = (eB) / (mec) Interval between cyclotron lines is Δv = (eB) / (2∏mec) 3. The attempt at a solution I think that (although my equations use ω and v) they are both talking about the same thing, eg that emission frequency v is identical in value to gyration frequency ωB. Is that correct? If am right here, I can just say that: fundamental frequency v1 = (eB) / (mec) second harmonic frequency v2 = v1 + Δv so v2 = [ (eB) / (mec) ] + [(eB) / (2∏mec)] v2 = [1 + 1/(2∏)] [ (eB) / (mec) ] This is probably a really simple question but I am struggling with this course and doubting my answers to everything!