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The Cyclotron Resonance Frequency calculator compute the resonance frequency (ƒ) of a particle based on the mass of the particle (m), the charge (q) and the magnetic field (B).
INSTRUCTIONS: Choose units and enter the following:
- (q) Charge of the Particle
- (m) Mass of the Particle
- (B) Magnetic Field strength
Cyclotron Frequency(ƒ): The calculator returns the frequency in hertz. However, this can be automatically converted to compatible units via the pull-down menu.
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The Math / Science
The formula for the Cyclotron Frequency is:
`ƒ = (q·B) / (2·π·m)`
where:
- ƒ is the cyclotron resonance frequency (aka gyrofrequency)
- q is the charge of the particle
- m is the mass of the particle
- B is the magnetic field strength
A cyclotron is a type of particle accelerator in which charged particles accelerate outwards from the center along a spiral path. The particles are held to a spiral trajectory by a static magnetic field and accelerated by a rapidly varying (radio frequency) electric field.
Cyclotron resonance describes the interaction of external forces with charged particles experiencing a magnetic field, thus already moving on a circular path.
The cyclotron frequency or gyro-frequency is the frequency of a charged particle moving perpendicular to the direction of a uniform magnetic field (constant magnitude and direction). Since that motion is always circular, the cyclotron frequency is given by equality of centripetal force and magnetic Lorentz force.
