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

Kazuya Yuasa, Ayumi Shimoi, Ichiro Ohba, Chuhei Oshima

    Research output: Contribution to journalArticle

    25 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 languageEnglish
    Pages (from-to)18-28
    Number of pages11
    JournalSurface Science
    Volume520
    Issue number1-2
    DOIs
    Publication statusPublished - 2002 Nov 20

    Fingerprint

    Field emission
    field emission
    emitters
    Nanotips
    Tungsten
    Current voltage characteristics
    Geometry
    Electrons
    sharpness
    energy distribution
    tungsten
    electric potential
    geometry
    electrons

    Keywords

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

    ASJC Scopus subject areas

    • Physical and Theoretical Chemistry
    • Condensed Matter Physics
    • Surfaces and Interfaces

    Cite this

    Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model. / Yuasa, Kazuya; Shimoi, Ayumi; Ohba, Ichiro; Oshima, Chuhei.

    In: Surface Science, Vol. 520, No. 1-2, 20.11.2002, p. 18-28.

    Research output: Contribution to journalArticle

    Yuasa, Kazuya ; Shimoi, Ayumi ; Ohba, Ichiro ; Oshima, Chuhei. / Modified Fowler-Nordheim field emission formulae from a nonplanar emitter model. In: Surface Science. 2002 ; Vol. 520, No. 1-2. pp. 18-28.
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