# Cyclotron resonance frequency

## Description

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 gyrofrequency 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.

Related formulas## Variables

f | Cyclotron resonance frequency (sec^{-1}) |

q | The particle charge (coulomb) |

B | The magnetic field (T) |

π | pi |

m | The particle mass (kg) |

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