# Cyclotron Frequency

## cyclotron frequency

[′sī·klə‚trän ‚frē·kwen·sē]
(electromagnetism)
The angular frequency of the motion of a charged particle in a uniform magnetic field in a plane perpendicular to the field. Also known as gyrofrequency.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Cyclotron Frequency

the orbital frequency Ω of an electron in a constant magnetic field H in the plane perpendicular to H. For a free electron, the cyclotron frequency, or gyrofrequency, is given by the equation for the Lorentz force and the centrifugal force

Ω = eH/m0c

where e is the charge of the free electron, m0 is its mass, and c is the speed of light in vacuum. For a relativistic electron, Ω = ecH/ℰ, where ℰ is the energy of the electron.

In solids, the motion of an electron is complicated by interaction with the crystal lattice. When a current carrier, such as a conduction electron, moves in a constant magnetic field, the carrier’s energy ℰ and the projection of its quasimomentum p in the direction H(pc) are conserved, so that in momentum space (p space) the carrier moves along a curve where the plane pc = const, intersects the isoenergetic surface ℰ(p), If the curve is closed, the motion is periodic and occurs at the cyclotron frequency

Ω = eH/m*c

where m* is the effective mass of the conduction electron.

References in periodicals archive ?
The basic method is to use the detector to measure two frequencies-known as the Larmor (spin-precession) frequency and the cyclotron frequency of the proton in a magnetic field.
The contents of this paper are organized as follows: in Section 2 we study the noncommutative corrections on cyclotron frequency of a charged particle in an external magnetic field; in Section 3 we study the constraints of the results in  on noncommutative parameters; in Section 4 we study the constraints of the results in  on a related model with Lorentz violation; summary is given in Section 5.
In this magnetized plasma, electrons circle around the direction of the magnetic field at the cyclotron frequency, given as [[omega].sub.c] = eB/m.
and, [OMEGA] is the normalized frequency and R is the normalized cyclotron frequency. Expressions of [OMEGA] and R are given in (5).
It can be explained as following: the electrons move as a circular motion with [[omega].sub.le] = eB/[m.sub.e] cyclotron frequency in the plane which is perpendicular to the magnetic lines of force.
In addition, the hybrid resonance frequencies are found to decrease as we increase the ratio of the electron plasma frequency to the electron cyclotron frequency. In Ref.
[6.] Jankauskas Z., Kvedaras V., Cyclotron Frequency Oscillations in Semiconductor Plasma in Modulated Magnetic Field // Electronics and Electrical Engineering.--Kaunas: Technologija.
[[omega].sub.e],[[tau].sub.e][sigma],e,[p.sub.e] and [n.sub.e] are respectively the cyclotron frequency of electrons, the electron collision time, the electrical conductivity, the electron charge, the electron pressure and the number density of the electron.
Fourier-transform ion-cyclotron-resonance (FT-ICR) MS can achieve mass measurement accuracy [MMA; (observed mass - theoretical mass) /theoretical mass x [10.sup.6]] of [less than or equal to] 3 ppm if it can accurately measure the cyclotron frequency of the ions of interest.
The 140 GHz microwaves are absorbed by the electrons in the plasma at a harmonic of the electron cyclotron frequency. The microwaves can be used both to heat the plasma, ECRH, as well as to drive current, ECCD.
If a moving charged particle is subjected to a magnetic field, it will spiral with a specific cyclotron frequency which depends on the particle's mass, charge, and magnetic field.
A) Cyclotron Resonance Masers: In CRMs, the main effect leading to electron bunching and to coherent bremsstrahlung radiation is the relativistic dependence of electron cyclotron frequency on its energy.

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