Field Emission calculator

Alexandre Mayer

Electric field : V/nm
Work Function : eV
Fermi Energy : eV
Temperature : K

Current Density : 3.5254E+5 A/cm²
Standard Fowler-Nordheim result : 3.9179E+5 A/cm² R.H. Good and E.W. Müller, Handbuch der Physik (S. Flugge, Springler Verlag, Berlin) 21 176 (1956)
y : 0.5963
v : 0.5813 R.G. Forbes and J.H.B. Deane, Proc. R. Soc. A 463 2907 (2007)
t : 1.0561
Murphy-Good expression : 4.0101E+5 A/cm² E.L. Murphy and R.H. Good, Phys. Rev. 102 1464 (1956)
d : 0.2178 eV
(pi.kB.T/d) / sin(pi.kB.T/d) : 1.0236
Transfer-matrix result : 3.5254E+5 A/cm² A. Mayer, Journal of Vacuum Science & Technology B 29 021803 (2011)
lambda_MG : 0.8791

References :

  1. R.H. Fowler and L.W. Nordheim, Proc. R. Soc. London Ser. A 119 173 (1928)
  2. R.H. Good and E.W. Müller, Handbuch der Physik (S. Flugge, Springler Verlag, Berlin) 21 176 (1956)
  3. E.L. Murphy and R.H. Good, Physical Review 102 1464 (1956)
  4. R.G. Forbes and J.H.B. Deane, Proc. R. Soc. A 463 2907 (2007)
  5. A. Mayer, Journal of Physics: Condensed Matter 22 175007 (2010)
  6. A. Mayer, Journal of Vacuum Science & Technology B 28 758 (2010)
  7. A. Mayer, Journal of Vacuum Science & Technology B 29 021803 (2011)

See also : simplified version for smartphone / Excel calculator

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