DOI: 10.1063/1.112775. Three-dimensional electrostatic potential, and potential-energy barrier, near a tip-base junction

Three-dimensional electrostatic potential, and potential-energy barrier, near a tip-base junction

10.1063/1.112775

Crossref journal-article

AIP Publishing

Applied Physics Letters (317)

Abstract

The geometry of an atomically sharp or nearly atomically sharp tip in proximity to a planar anode may be closely approximated in the prolate-spheroidal coordinate system. An exact three-dimensional electrostatic-potential solution for a free charge in such a tip/base junction is given in this letter, including calculations for both the symmetrical on-axis case and the asymmetric off-axis case. An exact solution for the potential-energy barrier is also given; this solution has immediate applications in three-dimensional tunneling studies and in calculations of electron trajectories in micron- and submicron-sized field-emitter arrays.

Bibliography

Pan, L.-H., Sullivan, T. E., Peridier, V. J., Cutler, P. H., & Miskovsky, N. M. (1994). Three-dimensional electrostatic potential, and potential-energy barrier, near a tip-base junction. Applied Physics Letters, 65(17), 2151â2153.

Authors 5

Li-Hong Pan (first)
Thomas E. Sullivan (additional)
Vallorie J. Peridier (additional)
Paul H. Cutler (additional)
Nicholas M. Miskovsky (additional)

References 7 Referenced 46

{'key': '2024020308015346000_r1', 'first-page': '2659', 'volume': '31', 'year': '1989', 'journal-title': 'IEEE Trans. Electron Devices II'} / IEEE Trans. Electron Devices II (1989)
{'key': '2024020308015346000_r2'}
10.1016/0079-6816(93)90068-7 / Prog. Surf. Sci. (1993)
10.1016/0039-6028(91)90437-W / Surf. Sci. (1991)
{'key': '2024020308015346000_r5'}
10.1002/sapm1954331276 / J. Math. Phys. (1954)
{'key': '2024020308015346000_r7'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:38 a.m.)
Deposited	1 year, 6 months ago (Feb. 3, 2024, 3:02 a.m.)
Indexed	4 months, 2 weeks ago (April 16, 2025, 3:46 a.m.)
Issued	30 years, 10 months ago (Oct. 24, 1994)
Published	30 years, 10 months ago (Oct. 24, 1994)
Published Print	30 years, 10 months ago (Oct. 24, 1994)

Funders 0

None

BibTeX

@article{Pan_1994, title={Three-dimensional electrostatic potential, and potential-energy barrier, near a tip-base junction}, volume={65}, ISSN={1077-3118}, url={http://dx.doi.org/10.1063/1.112775}, DOI={10.1063/1.112775}, number={17}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Pan, Li-Hong and Sullivan, Thomas E. and Peridier, Vallorie J. and Cutler, Paul H. and Miskovsky, Nicholas M.}, year={1994}, month=oct, pages={2151–2153} }

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