Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model

Kazuya Yuasa; Ayumi Shimoi; Ichiro Ohba; Chuhei Oshima

doi:10.1016/S0039-6028(02)02035-6

Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model

Kazuya Yuasa^*, Ayumi Shimoi, Ichiro Ohba, Chuhei Oshima

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

Field emission formulae, current-voltage characteristics and energy distribution of emitted electrons, are derived analytically for a nonplanar (hyperboloidal) metallic emitter model. The traditional Fowler-Nordheim (F-N) formulae, which are derived from a planar emitter model, are modified, and the assumption of the planar emitter in the F-N model is reconsidered. Our analytical calculation also reveals the backgrounds of the previous numerical discussion by He et al. on the effect of the geometry of emitter on field emission. The new formulae contain a parameter which characterizes the sharpness of the hyperboloidal emitter, and experimental data of field emissions from clean tungsten emitters and nanotip emitters are analyzed by making use of this feature.

Original language	English
Pages (from-to)	18-28
Number of pages	11
Journal	Surface Science
Volume	520
Issue number	1-2
DOIs	https://doi.org/10.1016/S0039-6028(02)02035-6
Publication status	Published - 2002 Nov 20

Keywords

Field emission
Field emission spectroscopy
Semi-empirical models and model calculations

ASJC Scopus subject areas

Condensed Matter Physics
Surfaces and Interfaces
Surfaces, Coatings and Films
Materials Chemistry

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10.1016/S0039-6028(02)02035-6

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abstract = "Field emission formulae, current-voltage characteristics and energy distribution of emitted electrons, are derived analytically for a nonplanar (hyperboloidal) metallic emitter model. The traditional Fowler-Nordheim (F-N) formulae, which are derived from a planar emitter model, are modified, and the assumption of the planar emitter in the F-N model is reconsidered. Our analytical calculation also reveals the backgrounds of the previous numerical discussion by He et al. on the effect of the geometry of emitter on field emission. The new formulae contain a parameter which characterizes the sharpness of the hyperboloidal emitter, and experimental data of field emissions from clean tungsten emitters and nanotip emitters are analyzed by making use of this feature.",

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T1 - Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model

AU - Yuasa, Kazuya

AU - Shimoi, Ayumi

AU - Ohba, Ichiro

AU - Oshima, Chuhei

PY - 2002/11/20

Y1 - 2002/11/20

N2 - Field emission formulae, current-voltage characteristics and energy distribution of emitted electrons, are derived analytically for a nonplanar (hyperboloidal) metallic emitter model. The traditional Fowler-Nordheim (F-N) formulae, which are derived from a planar emitter model, are modified, and the assumption of the planar emitter in the F-N model is reconsidered. Our analytical calculation also reveals the backgrounds of the previous numerical discussion by He et al. on the effect of the geometry of emitter on field emission. The new formulae contain a parameter which characterizes the sharpness of the hyperboloidal emitter, and experimental data of field emissions from clean tungsten emitters and nanotip emitters are analyzed by making use of this feature.

AB - Field emission formulae, current-voltage characteristics and energy distribution of emitted electrons, are derived analytically for a nonplanar (hyperboloidal) metallic emitter model. The traditional Fowler-Nordheim (F-N) formulae, which are derived from a planar emitter model, are modified, and the assumption of the planar emitter in the F-N model is reconsidered. Our analytical calculation also reveals the backgrounds of the previous numerical discussion by He et al. on the effect of the geometry of emitter on field emission. The new formulae contain a parameter which characterizes the sharpness of the hyperboloidal emitter, and experimental data of field emissions from clean tungsten emitters and nanotip emitters are analyzed by making use of this feature.

KW - Field emission

KW - Field emission spectroscopy

KW - Semi-empirical models and model calculations

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JO - Surface Science

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Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model

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