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

2002/11/01 by Kazuya Yuasa, Ayumi Shimoi, Ichiro Ohba +2
Engineering · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Semiconductor materials and devices #cond-mat.mtrl-sci

paper · pdf · doi:10.1016/s0039-6028(02)02035-6

published as Surf. Sci. 520, 18 (2002) · 9 pages, 8 figures

openalex publication_date 2002/11/01 · arxiv created 2003/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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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