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| '''Cyclotron resonance''' describes the interaction of external forces with charged particles experiencing a [[magnetic field]], thus already moving on a circular path. It is named after the [[cyclotron]], a cyclic [[particle accelerator]] using this resonance to add kinetic energy to charged particles.
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| The ''cyclotron frequency'' or ''gyrofrequency'' is the frequency of a [[charged particle]] moving perpendicular to the direction of a uniform magnetic field ''B'' (constant magnitude and direction). Since that motion is always circular,<ref name="Physics">Physics by M. Alonso & E. Finn, Addison Wesley 1996.</ref> the cyclotron frequency is given by equality of [[centripetal force]] and magnetic [[Lorentz force]]
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| :<math>\frac{mv^2}{r} = qBv</math>
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| with the particle mass ''m'', its charge ''q'', velocity ''v'', and the circular path radius ''r'', also called [[gyroradius]].
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| By substitution for the circulation frequency <math>f = \frac{v}{2 \pi r}</math> which defines the cyclotron frequency, this leads to
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| :<math>f = \frac{q B}{2\pi m}</math>. | |
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| == See also ==
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| * [[Gyroradius]]
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| * [[Cyclotron]]
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| * [[Ion cyclotron resonance]]
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| * [[Electron cyclotron resonance]]
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| * [http://www.wolframalpha.com/input/?i=cyclotron+frequency| Calculate Cyclotron frequency with Wolfram Alpha]
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| == References == | |
| <references />
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| [[Category:Condensed matter physics]]
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| [[Category:Electric and magnetic fields in matter]]
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| [[Category:Accelerator physics]]
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| [[Category:Scientific techniques]]
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| {{accelerator-stub}}
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Latest revision as of 15:57, 11 January 2015
Claude is her title and she completely digs that name. Interviewing is how I make a living and it's something I really enjoy. What he truly enjoys performing is to play handball but he is having difficulties to discover time for it. Arizona is her beginning place and she will by no means transfer.
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