Cyclotron Frequency

cyclotron frequency

[′sī·klə‚trän ‚frē·kwen·sē]
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.

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 ?
Past attempts to produce electron density enhancements have yielded densities of 4 x 10(5) electrons per cubic centimeter (cm(3)) using HF radio transmissions near the second, third and fourth harmonics of the electron cyclotron frequency.
The NRL group succeeded in producing artificial plasma clouds with densities exceeding 9 x 10(5) electrons cm(3) using HAARP transmissions at the sixth harmonic of the electron cyclotron frequency.
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.
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 value of this socalled cyclotron frequency depends on a particle's charge-to-mass ratio.
In traditional techniques for heating the plasma with radio waves, researchers send in waves with a frequency that matches the cyclotron frequency of ions at the center of the plasma.