Electron cyclotron resonance is a phenomenon observed both in plasma physics and condensed matter physics. An electron in a static and uniform magnetic field will move in a circle due to the Lorentz force. The circular motion may be superimposed with a uniform axial motion, resulting in a helix, or with a uniform motion perpendicular to the field, e.g., in the presence of an electrical or gravitational field, resulting in a cycloid. The frequency of this cyclotron motion is given by A Plasma lamp In physics and chemistry, a plasma is an ionized gas, and is usually considered to be a distinct phase of matter. ... Condensed matter physics is the field of physics that deals with the macroscopic physical properties of matter. ... In physics, the Lorentz force is the force exerted on a charged particle in an electromagnetic field. ... A helix (pl: helices), from the Greek word έλικας/έλιξ, is a twisted shape like a spring, screw or a spiral staircase. ... Cycloid (red) generated by a rolling circle A cycloid is the curve defined by a fixed point on a wheel as it rolls, or, more precisely, the locus of a point on the rim of a circle rolling along a straight line. ...

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where e is the electronic charge and m is the electronic mass. For the commonly used microwave frequency 2.45 GHz and the bare electron charge and mass, the resonance condition is met when B = 875 G = 0.0875 T. Microwave image of 3C353 galaxy at 8. ... The gauss, abbreviated as G, is the cgs unit of magnetic flux density or magnetic induction (B), named after the German mathematician and physicist Carl Friedrich Gauss. ... The tesla (symbol T) is the SI derived unit of magnetic flux density (or magnetic induction). ...

In plasma physics

An ionized plasma may be efficiently produced or heated by superimposing a static magnetic field and a high-frequency electromagnetic field at the electron cyclotron resonance frequency. In the toroidal magnetic fields used in magnetic fusion energy research, the magnetic field decreases with the major radius, so the location of the power deposition can be controlled within about a centimeter. Furthermore, the heating power can be rapidly modulated and is deposited directly into the electrons. These properties make electron cyclotron heating a very valuable research tool for energy transport studies. In addition to heating, electron cyclotron waves can be used to drive current. The inverse process of electron cyclotron emission can be used as a diagnostic of the radial electron temperature profile. A Plasma lamp, illustrating some of the more complex phenomena of a plasma, including filamentation In physics and chemistry, a plasma is typically an ionized gas, and is usually considered to be a distinct phase of matter. ... It has been suggested that Magnetic field density be merged into this article or section. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... The Tacoma Narrows Bridge (shown twisting) in Washington collapsed spectacularly, under moderate wind, in part because of resonance. ... The magnetic fusion energy (MFE) program seeks to establish the conditions to sustain a nuclear fusion reaction in a plasma that is contained by magnetic fields. ... Cyclotron radiation is a type of bremsstrahlung (braking) radiation. ... Plasma diagnostics are experimental techniques used to measure properties of a plasma such as temperature and density. ...

In condensed matter physics

Within a solid the mass in the cyclotron frequency equation above is replaced with the effective mass tensor . Cyclotron resonance is therefore a useful technique to measure effective mass and Fermi surface cross-section in solids. In a sufficiently high magnetic field at low temperature in a relatively pure material In solid state physics, a particles effective mass is the mass it seems to carry in the semiclassical model of transport in a crystal. ... In solid state physics, a particles effective mass is the mass it seems to carry in the semiclassical model of transport in a crystal. ... In solid-state physics, the Fermi surface is an abstract boundary or interface useful for characterizing and predicting the thermal, electrical, magnetic, and optical properties of metals, semimetals, and semiconductors. ...

where τ is the carrier scattering lifetime, k_B is Boltzmann's constant and T is temperature. When these conditions are satisfied, an electron will complete its cyclotron orbit without engaging in a collision, at which point it is said to be in a well-defined Landau level. The Boltzmann constant (k or kB) is the physical constant relating temperature to energy. ...

See also

• Cyclotron
• Synchrotron
• Gyrotron
• "Personal Reminiscences of Cyclotron Resonance," G. Dresselhaus, Proceedings of ICPS-27 (2004). This paper describes the early history of cyclotron resonance in its heyday as a band structure determination technique.