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МММ / 01_Layer_Deposition_Thermal_Oxidation_and_CVD

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C* = Concentration in the solid oxide which would be in 11 equilibrium with the partial pressure in the bulk of the gas (PG)

C* = HPG

F1 = h(C*-C0) ; h = hG/HkT

Steady state:

F1 = F2 = F3

Ci

 

C *

 

 

 

 

 

k t

 

 

 

 

 

 

 

 

CO

Ci 1

 

S

OX

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

D

 

 

1 h

D

 

 

 

 

 

 

 

ks

kstox

 

 

 

 

 

RUPESH GUPTA

Indo German Winter Academy

12

Solution of Deal Grove Model

F F3 kS Ci

N1

dt

OX

 

 

 

 

dt

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

t 2

At

ox

B t

 

 

 

 

 

 

 

 

 

ox

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2DC *

 

 

2

AX i

 

 

 

1

 

1

 

B

 

X i

 

 

A 2D

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

h

N1

 

B

 

 

 

kS

 

 

 

 

 

 

 

 

 

 

B C1 exp(

 

E1

)

 

 

 

 

B

C2 exp(

E2

)

 

 

 

 

 

A

kT

 

 

 

 

 

 

 

 

 

 

 

kT

 

 

 

 

 

 

 

 

 

RUPESH GUPTA

Indo German Winter Academy

13

Rate Limiting

The slowest step out of oxidant diffusion and interface reaction will determine the overall process rate.

The resultant oxide growth rate is

tox2 Atox B t

RUPESH GUPTA

Indo German Winter Academy

14

Rate Limiting Steps

 

 

tox

 

 

 

 

 

 

 

 

tox

 

CG

 

 

 

 

 

 

 

 

CG

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

C*

 

 

 

 

 

 

 

CS C*

 

 

 

 

 

 

 

 

CS

 

 

 

Ci

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ci

 

 

Reaction Controlled

 

Diffusion Controlled

 

 

 

Regime

 

 

Regime

 

 

tox

 

B

t

 

 

tox2 Bt

 

 

 

 

 

 

 

A

 

 

 

 

 

 

RUPESH GUPTA

Indo German Winter Academy

15

Common Oxidation Methods

Dry Oxidation

Si O2 SiO2

Slow Growth

For films up to 100-200 nm

Wet Oxidation

Si 2H2O SiO2 2H2

Faster growth due to high solubility of H2O in SiO2

(Higher B, B/A values )

For thicker films

RUPESH GUPTA

Indo German Winter Academy

16

Oxidation Equipment

Quartz

 

Tube

Wafers

 

Resistance Heating

Flat temperature profile maintained using thermocouples

RUPESH GUPTA

Indo German Winter Academy

17

OUTLINE

Thermal Oxidation and Model

Factors Affecting Kinetics

o Future Trends: Oxidation

o CVD and Model

o Factors Affecting Kinetics

o Future Trends: CVD

RUPESH GUPTA

Indo German Winter Academy

18

Factors Affecting Growth Kinetics

Temperature

B C exp(

E1

)

B

C

 

exp(

E2

)

 

 

2

 

1

kT

 

A

 

kT

 

 

 

 

 

 

Crystal Orientation

Pressure

RUPESH GUPTA

Indo German Winter Academy

Crystal Orientation

19

 

(111)

Difference more

(110)

obvious for thin

1.68

 

 

 

 

oxides

 

 

 

 

 

 

 

 

(100)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

orientation

Most ICs made with (100) Si

 

 

 

 

 

 

 

 

 

RUPESH GUPTA

Indo German Winter Academy

Pressure 20

Increase in oxidation rate even at low temperatures

RUPESH GUPTA

Indo German Winter Academy

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