| Issue |
EPL
Volume 85, Number 1, January 2009
|
|
|---|---|---|
| Article Number | 17001 | |
| Number of page(s) | 4 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/85/17001 | |
| Published online | 07 January 2009 | |
Enhancement factor, electrostatic force and emission current in a nanoneedle emitter
Research Center for Applied Sciences, Academia Sinica - 128, Section 2, Academia Road Nankang, Taipei 115, Taiwan
Corresponding author: azhbanov@gate.sinica.edu.tw
Received:
23
July
2008
Accepted:
21
November
2008
We consider field emission from carbon nanotubes and other elongated nanostructures. An exact solution for the electrostatic field between a metallic hemi-ellipsoidal needle on a plate (as a cathode) and a flat anode are presented. The basic idea is to replace the cathode by a linearly charged thread in a uniform electric field and to use a set of “image” charges to reproduce the anode. Exact analytical formulas of the electrical field, field enhancement factor, and electrostatic force are found. Using the Fowler-Nordheim theory we obtain an exact analytical formula for the total current. The field enhancement factor, total force and emission current, as well as their distributions on the top of the needle for a wide range of parameters, have been calculated and analyzed.
PACS: 79.70.+q – Field emission, ionization, evaporation, and desorption / 81.07.De – Nanotubes
© EPLA, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.