A statistical mechanics derivation of the empirical asymptotic thermionic emission equation

A statistical mechanics derivation of the empirical asymptotic thermionic emission equation

This paper will obtain a physical derivation for a very useful empirical emission formula. Thermionic emission has long been understood, by the supply side limited regime, described by Richardson-Dushman’s equation and the space charge regime by Child-Langmuir’s equation. These equations adequately...

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Main Author: R. T. Longo
Format: Article
Language:English
Published: AIP Publishing LLC 2019-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5096662
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spelling doaj-a9ab9335de724c79a2126b3009a5a7192020-11-25T01:34:00ZengAIP Publishing LLCAIP Advances2158-32262019-08-0198085227085227-610.1063/1.5096662103908ADVA statistical mechanics derivation of the empirical asymptotic thermionic emission equationR. T. Longo0Boeing Aircraft Company, Torrance, California 90509, USAThis paper will obtain a physical derivation for a very useful empirical emission formula. Thermionic emission has long been understood, by the supply side limited regime, described by Richardson-Dushman’s equation and the space charge regime by Child-Langmuir’s equation. These equations adequately describe thermionic emission and provide a measure of internal parameters, such as work function, over a limited range and in special designed devices. They fail in the intermediate region between the two laws where most measurements are required, as well as in practical devices. This theory places the well known empirical emission formula on a solid physical foundation.http://dx.doi.org/10.1063/1.5096662
collection DOAJ
language English
format Article
sources DOAJ
author R. T. Longo
spellingShingle R. T. Longo
A statistical mechanics derivation of the empirical asymptotic thermionic emission equation
AIP Advances
author_facet R. T. Longo
author_sort R. T. Longo
title A statistical mechanics derivation of the empirical asymptotic thermionic emission equation
title_short A statistical mechanics derivation of the empirical asymptotic thermionic emission equation
title_full A statistical mechanics derivation of the empirical asymptotic thermionic emission equation
title_fullStr A statistical mechanics derivation of the empirical asymptotic thermionic emission equation
title_full_unstemmed A statistical mechanics derivation of the empirical asymptotic thermionic emission equation
title_sort statistical mechanics derivation of the empirical asymptotic thermionic emission equation
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2019-08-01
description This paper will obtain a physical derivation for a very useful empirical emission formula. Thermionic emission has long been understood, by the supply side limited regime, described by Richardson-Dushman’s equation and the space charge regime by Child-Langmuir’s equation. These equations adequately describe thermionic emission and provide a measure of internal parameters, such as work function, over a limited range and in special designed devices. They fail in the intermediate region between the two laws where most measurements are required, as well as in practical devices. This theory places the well known empirical emission formula on a solid physical foundation.
url http://dx.doi.org/10.1063/1.5096662
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AT rtlongo statisticalmechanicsderivationoftheempiricalasymptoticthermionicemissionequation
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