Theoretical TotalEnergy Distribution of FieldEmitted Electrons
Abstract
The FowlerNordheim equation is derived in terms of total electron energy so as to obtain the totalenergy distribution of fieldemitted electrons. At 0°K the new distribution width is less than 13 of that obtained from the previous "normalenergy" theory. A surprising mirrorimage symmetry is observed between the zerotemperature totalenergy field emission and the zerofield normalenergy thermionic emission distributions. The totalenergy distribution is also derived for the zerofield thermionic case and this is found to be the mirror image of the normalenergy zerotemperature field emission distribution. The new distribution applies to problems involving the total energy of electrons before and after emission.
 Publication:

Physical Review
 Pub Date:
 January 1959
 DOI:
 10.1103/PhysRev.113.110
 Bibcode:
 1959PhRv..113..110Y