Calculate Field Emission

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        Calculate:   Current      Output Format        Notes

Definition:                           

Equation

Parameters

Diagram

Field Emission of Electrons into Vacuum:        top

Parameter

Value

Units

Special Values

Inputs:

E, electric field
β, enhancement factor  
A, stressed area
Φ, work function
         

Outputs:

I, current

v

t

y

 

Output Format:                                                        top

Select Format: Scientific Engineering Fixed

 

Notes:                                                                       top

  • (y) and t(y) are slowly varying functions, which have often been approximated by a constant (often=1).  See table below.

  • Source:  Fowler-Nordheim and My dissertation at ODU (Appendix A).

y

v(y)

t(y)

y

v(y)

t(y)

0

1.0000

1.0000

0.55

0.6351

1.0502

0.05

0.9948

1.0011

0.60

0.5768

1.0565

0.10

0.9817

1.0036

0.65

0.5152

1.0631

0.15

0.9622

1.0070

0.70

0.4504

1.0697

0.20

0.9370

1.0111

0.75

0.3825

1.0765

0.25

0.9068

1.0157

0.80

0.3117

1.0832

0.30

0.8718

1.0207

0.85

0.2379

1.0900

0.35

0.8323

1.0262

0.90

0.1613

1.0969

0.40

0.7888

1.0319

0.95

0.0820

1.1037

0.45

0.7413

1.0378

1.00

0

1.1107

0.50

0.6900

1.0439

 

 

 

 

Copyright ©2002-2021  Raymond J. Allen