Cyclotron Resonance
Cyclotron resonance may refer to: * Cyclotron motion - the motion of charged particles in a magnetic field * Ion cyclotron resonance - the motion of heavy ions in a magnetic field * Electron cyclotron resonance Electron cyclotron resonance (ECR) is a phenomenon observed in plasma physics, condensed matter physics, and accelerator physics. It happens when the frequency of incident radiation coincides with the natural frequency of rotation of electrons in ...

Cyclotron Motion
In physics, cyclotron motion, also known as gyromotion, refers to the circular motion exhibited by charged particles in a uniform magnetic field. The circular trajectory of a particle in cyclotron motion is characterized by an angular frequency referred to as the cyclotron frequency or gyrofrequency and a radius referred to as the cyclotron radius, gyroradius, or Larmor radius. For a particle with charge q and mass m initially moving with speed v_\perp perpendicular to the direction of a uniform magnetic field B, the cyclotron radius is: r_ = \frac and the cyclotron frequency is: \omega_ = \frac. An external oscillating field matching the cyclotron frequency, \omega=\omega_c, will accelerate the particles, a phenomenon known as cyclotron resonance. This resonance is the basis for many scientific and engineering uses of cyclotron motion. In quantum mechanical systems, the energies of cyclotron orbits are quantized into discrete Landau levels, which contribute to Landau diamagnet ...
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Ion Cyclotron Resonance
Ion cyclotron resonance is a phenomenon related to the movement of ions in a magnetic field. It is used for accelerating ions in a cyclotron, and for measuring the masses of an ionized analyte in mass spectrometry, particularly with Fourier transform ion cyclotron resonance mass spectrometers. It can also be used to follow the kinetics of chemical reactions in a dilute gas mixture, provided these involve charged species. Definition of the resonant frequency An ion in a static and uniform magnetic field will move in a circle due to the Lorentz force. The angular frequency of this ''cyclotron motion'' for a given magnetic field strength ''B'' is given by : \omega = 2\pi f = \frac, where ''z'' is the number of positive or negative charges of the ion, ''e'' is the elementary charge and ''m'' is the mass of the ion. An electric excitation signal having a frequency ''f'' will therefore resonate with ions having a mass-to-charge ratio ''m/z'' given by : \frac = \frac. The circular motion ...
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