Field Emission

Definition:

Equation

Parameters

Diagram

Field Emission of Electrons into Vacuum: top

Parameter

Value

Units

Special Values

Inputs:
E, electric field

b, enhancement factor

A, stressed area

F, work function

Outputs:

I, current

v

t

y

v(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

Parameter

Value

Units

Special Values

Inputs:

Outputs:

Notes: top

Definition:

Equation

Parameters

Diagram

Field Emission of Electrons into Vacuum: top

Output Format: top

	Parameter	Value	Units	Special Values
Inputs:	E, electric field
	b, enhancement factor
	A, stressed area
	F, work function

Outputs:	I, current
	v
	t
	y

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