By Topic

Electron Flow in Gas Diodes. I. Transition from Inertia‐Limited Flow to Mobility‐Limited Flow

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $31
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Ingold, J.H. ; General Electric Lighting Research Laboratory, Cleveland, Ohio 44112

Your organization might have access to this article on the publisher's site. To check, click on this link: 

The transition from inertia‐limited flow (vacuum) to mobility‐limited flow (high pressure) in gas‐filled diodes is studied theoretically by taking velocity moments of the Boltzmann equation for the electron‐velocity distribution function. It is shown that the momentum‐transfer equation can be integrated when νc(C), the frequency of elastic collisions between electrons and gas atoms, is independent of the electron speed c, and the hydrostatic‐pressure term is neglected. The resulting current‐voltage (J‐V) curve, which is valid for all gas pressures, reduces to the proper vacuum law (J ∝ V3/2) at extremely low gas pressure and to the proper high‐pressure law (J ∝ V2) at high gas pressure, while it is a mixture of the two laws for intermediate gas pressures. The importance of the ratio νcp, where νc is the average value of νc(C) and νp is the electron‐plasma frequency, is emphasized. It is shown that the current is inertia limited for νcp≪1, and is mobility limited for νcp≫1. It is shown further that mobility‐limited flow divides naturally into two cases, according to whether the electrons retain the energy imparted to them by the electric field or whether this energy is given up in elastic collisions with atoms. The former situation, called the low‐pressure case, prevails when (m/M)1/2νcp≪1, and the latter, called the high‐pressure case, prevails when (m/M)1/2νcp≫1, where m/M is the ratio of electron mass to atom mass.

Published in:

Journal of Applied Physics  (Volume:40 ,  Issue: 1 )