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Plasma Physics - Thin Film Materials Processing - Lecture Slides, Slides of Material Engineering

These are the Lecture Slides of Thin Film Materials Processing which includes Vaporization, Vapor Pressure Curves, Thermal Desorption, Molecular Binding Energy, First Order Desorption, Desorption Rate, Real Surfaces, Diffusion of Gas Particles etc. Key important points are: Plasma Physics, Plasma Properties, Plasma Density, Dc Glow Discharge, Ionization and Plasma Current, Townsend Equation, Ionization Coefficient, Paschen Curve, Particleinelastic Events

Typology: Slides

2012/2013

Uploaded on 03/21/2013

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Plasma Physics
Page 1
Plasma Physics
Page 2
Definitions
•Plasma- partially ionized gas containing an equal number
of positive and negative charges, as well as some other
number of none ionized gas particles
Glow discharge - globally neutral, but contains regions of
net positive and negative charge
Most thin film processes utilize glow discharges, but
“plasmas” and “glow discharges” are often used
interchangeably
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Page 1

Plasma Physics

Page 2

Definitions

  • Plasma - partially ionized gas containing an equal number of positive and negative charges, as well as some other number of none ionized gas particles
  • Glow discharge - globally neutral, but contains regions of net positive and negative charge
  • Most thin film processes utilize glow discharges, but “plasmas” and “glow discharges” are often used interchangeably

Page 3

Plasma Properties

  • Plasma Density (n) – number of

species/cm

  • 10 7 – 10 20
  • Typical glow discharges and arcs have an

electron and ion density ~ 10^8 – 10 14

Plasma Physics

Page 4

DC Glow Discharge

  • Before application of the potential, gas molecules are electrically neutral and the gas at room temperature will contain very few if any charged particles. Occasionally however, a free electron may be released from a molecule by the interaction of, for example, a cosmic ray or other natural radiation, a photon, or a random high energy collision with another particle.
0V

A → A+^ + e -

hv

Page 7

Ionization and Plasma Current

[ ( )]

i initial current

d distancebetweenelectrodes

Townsendsecondary-electroncoefficient

Townsendionizationcoefficient

1 exp 1

exp( )

0

e

0

=

=

=

=

− −

=

γ

α

γ α

α

where

d

i i d e

meanfree path

E electricfield

q electroncharge

ionizationpotential

exp 1

=

=

=

=

 

  

 −

λ

λ λ

α

i

i

V

qE

V

Townsend Equation

Plasma Physics

Page 8

Townsend Ionization Coefficient

The probability per unit length of ionization occurring during an Electron-gas collision. Increase Field, decrease Ionization Potential you will increase α. At low pressure α approaches the mean free path.

1

10

100

0.001 0.01 0.1 1 10 100

Pressure (Pa)

alpha (mm-1)

alpha (d=100mm, Vi=15eV, E=100V/10mm) E=500/10mm Vi = 20 Vi = 10 1/lambda

Page 9

Paschen Curve

Pd B

APd

VB

ln( )

Pd

VB

Paschen Limit

Plasma Physics

Page 10

DC Glow Discharge

  • Other electron/particleinelastic events

e -^ (100eV) + AB inelastic e -^ (<100eV) + A + B + e -

e -^ (100eV) + AB inelastic e -^ (<100eV) + A +^ + B + 2e -

e -^ (100eV) + AB inelastic e -^ (<100eV) + A +^ + B-^ + e -

Dissociation/ Fragmentation

Dissociative Ionization

Dissociative Ionization with Attachment

Page 13

DC Glow Discharge

  • Positive ions are accelerated toward the negative electrode (cathode). Collision with the cathode causes the emission of secondary electrons which are emitted from the cathode into the plasma.

100V

e (^) A +

Cathode Anode

Plasma Physics

Page 14

Secondary Electron Coefficient

  • Secondary Electron Coefficient (δ) vs Incident Electron Energy - Secondary Electron Coefficient (γi ) vs Incident Ion Energy

Page 15

DC Glow Discharge

  • Free electrons from secondary emission and from ionization are accelerated in the field to continue the above processes, and a steady state self-sustaining discharge is obtained.

e -^ A +

e - e - A + e - e -

Cathode

Plasma Physics

Page 16

DC Glow Discharge

  • Electrons are lost by: (a) Drift and diffusion to the chamber walls, (b) recombination with positive ions, (c) attachment to neutral molecules to form negative ions.

100V

Cathode Anode

e-

e-

e-^ + A+A e-^ + AA-

Page 19

Plasma Species

  • A plasma contains:
    • Neutral Atomic and/or molecular species
    • An equal number of (+) ions and (-) electrons
  • Degree of ionization:
    • fi = ne/(ne+n0 ), where: n (^) e is the number of electrons and n0 is the number of neutral atoms or molecules.
    • Typical glow discharge 10mTorr (n 0 ~10^14 cm-3^ ) and fi =10-
    • High density plasmas can reach 10-2^ or electron densities of 10^12 /cm^3

Plasma Physics

Page 20

Particle Energies and Temperatures

  • Electrons
    • Energy: Ee 1-10eV with an average

temperature of ~ 2eV

  • Temperature: E=2eV, T = E/k (^) B: T= ~ 23,000K
  • Neutral particles
  • E~0.025eV
  • Temperature = room temperature (293K)

Page 21

DC versus RF Plasmas

  • Insulating materials will not sustain a

plasma

  • Ion current charges the insulator positively and

ultimately extinguishes the plasma (ie. Can not

bleed off charge)

  • Use rf power to deposit insulating materials

Plasma Physics

Page 22

RF Plasma

  • At frequencies > 100kHz electrons respond and

ions do not

  • Typical rf frequency - 13.56 MHz (designated by FCC)
  • High mobility of electrons causes a dc “self bias”

to develop on target after the first ac cycles(~1/

rf peak-to-peak)

Page 25

Various Magnetron Configurations

  • Planar Magetron
  • Enhanced rate in high ion region

Plasma Physics

Page 26

Various Magnetron Configurations

  • S-gun

Page 27

Collision Processes

  • Elastic – (billiard ball collisions) – only

kinetic energy is exchanged. Conservation

of both momentum and translational kinetic

energy.

  • Inelastic – change in the internal (potential)

energy of the particles change (ionization,

excitation, dissociation…)

Plasma Physics

Page 28

Elastic Collisions

M
M
M

v

θ

where istheenergy transfer function

( )

4

:

cos ( )

4

2

1

2

1

2 1 2

1 2

2 2 1 2

1 2 2 11

2 2 2 1

2

γ

γ

θ

=

= =

M M

MM

where

M M

MM Mv

Mv E

E

Electron mass << ion/molecule, therefore γ is ~ 10 -

v1 sin(θ)

Page 31

Inelastic Events

  • Ionization
  • Dissociation
  • Vibrational
  • Rotational
  • Dissociative ionization
  • Dissociative ionization with attachment

Plasma Physics

Page 32

Chemical Reaction Rates

kT

k T k E

k

k T n n dt

dn

AB

AB

AB A B

p

= −

=

rateconstant ( ) exp

where isthethermallyactivatedreaction

( )

0

Bi-molecular Reactions:

A+B → P

Page 33

Chemical Reaction Rates

Electron stimulated reactions:

e- + AP

( )isthetotalelectroncollisionalcross- section

( )istheelectron velocitydistribution

( )istheelectronenergydistribution

:

( , ) ( ) ( ) ( )

( , )

0

E

v E

f E

where

k eT f E v E E dE

k eT nn dt

dn

T

e

e

e e T

e A

p

σ

=

Plasma Physics

Page 34

Electron Stimulated Reactions

0

1

1 10 100 1000 10000 Energy (eV)

Normalized Probability (au)

Cross-section for SF 6

Secondary Electron Distribution

SF6 + e → SF 5 + F + e, Si + 4F → SiF 4 ↑