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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


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 languageEnglish
Pages (from-to)18-28
Number of pages11
JournalSurface Science
Issue number1-2
Publication statusPublished - 2002 Nov 20


  • 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


Dive into the research topics of 'Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model'. Together they form a unique fingerprint.

Cite this