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Photoresists in Fabrication in
Micro-scale
Negative Photoresists
H2 H2 H2 H2
alkenes: (at least 1 double bond): H3C−CH= CH − CH2 −
CH2
alkanes: (no double bonds): H3C C C C C
Organic Chemistry
H2 H2
alkynes: (at least 1 triple bond): H3C C C C C
[alkenes and alkynes are unsaturated hydrocarbons.]
R OH alcohol
R O R
' ether
CH3OH methanol
R CHO aldehyde HCHO formaldehyde
O
R C R' ketone HCOOH formic acid
O
R C OH acid
Organic Chemistry
O
R C O R' ester
R O OH hydroperoxide
R O O R' peroxide
benzene OH phenol
CH3 toluene CH3 (xoyrltehnoe-)
CH3
Organic Chemistry
(meta-)(para-)
CH
3 xylene H3CCH3
xylene
H3C
ortho- means straight out
meta- means beyond
para- means opposite
Common Monomers and Their Polymers
MONOMER POLYMER
H2C CH2 n
ethylene polyethylene
(PE)
H2C CHCH
CH3CH3n
propylene polypropylene
(PP)
H2C CH
H2C CH2
H2C
Common Monomers and Their Polymers
O
O
Cln
vinyl chloride polyvinyl chloride (PVC)
H2C
styrene
MONOMER POLYMER
H2C CH
CO
CH3n
methyl acrylate polymethyl acrylate (PMA)
CH3
H2C C
CH
H2C CH
Cl
H2C CH
n
polystyrene (PS)
H2C CH
CO
O
CH3
Common Monomers and Their Polymers
CO
CH3n
methyl methacrylate
polymethyl methacrylate (PMMA)
H
All rubbers are H2C C C CH2
diene polymers
CH
3n
isoprene polyisoprene (PI)
(2-methyl-1,3-butadiene)
H2C C
CO
CH3
O
CH3
H2C C
H
C CH2
CH3
Common Monomers and Their Polymers
HOH HOH
HOHO
HO HO
HH
HO HO
D-glucose D-manose
O
H
H
OH
H
O
H
OH
H
H
Common Monomers and Their Polymers
O
O
H
H
HO
H
HO
OH
H
OH
O
O
H
H
HO
OH
HO
H
H
O
OH
cellulose
Atomic Weights
hydrogen 1.0079
carbon 12.011
nitrogen 14.0067
oxygen 15.9994
silicon 28.0855
sulfur 32.06
chlorine 35.453
(distribution of isotopes gives rise to fractional atomic weights)
Molecular Weights
ethylene C2H4 2(12.011) + 4(1.0079) = 28.05 g/mole
propylene C3H6 3(12.011) + 6(1.0079) = 42.08 g/mole
vinyl chloride C2H3Cl 2(12.011) + 3(1.0079) + 35.453 = 62.50 g/mole
styrene C8H9 8(12.011) + 9(1.0079) = 105.16 g/mole
methyl acrylate C4H6O2 4(12.011) + 6(1.0079) + 2(15.9994) = 86.09 g/mole
methyl methacrylate C5H8O2 5(12.011) + 8(1.0079) + 2(15.9994) = 100.12 g/mole
isoprene C5H8 5(12.011) + 8(1.0079) = 68.12 g/mole
1 mole is Avogadro’s number of particles: NA = 6.023 x 1023
Molecular Weight of a Polymer
• Mp = nMm
• n = number of units
• Mm = molecular weight of monomer
• Mp = molecular weight of polymer
• For use in a photoresist resin, need a molecular weight
of around 100,000 - 200,000 for proper viscosity,
melting point, softening point, and stiffness.
• Example:
– To get Mp = 100,000 using isoprene (Mm = 68.12 g/mole), need to
get chains of average length of n = 100,000/68.12 = 1468 units.
– This would lead to a molecule that is too long for proper
photolithographic resolution, so need to coil the chains to make the
lengths shorter and to increase the mechanical stiffness.
Polyisoprene Rubber
• 2-methyl-1,3-butadiene (isoprene) spontaneously polymerizes
into natural latex rubber (polyisoprene).
• Polyisoprene becomes sticky and looses its shape at warm
temperatures.
• Natural latex rubber is the only known polymer which is
simultaneously:
• elastic
• air-tight
• water-resistantn
• long wearing
• adheres well to surfaces
polyisoprene
C5H8
Cyclicized Poly(cis-isoprene) - 1
• Poly(cis-isoprene) is the substrate material for nearly all
negative photoresists.
– cis- CH3 groups are on the same side of the chain
– trans- CH3 groups are on alternatingly opposite sides of the chain
– cis-isoprene is needed in order to curl the chains up into rings; (trans-
isoprene will not work; CH3 groups would hit each other).
• Two protons are added to cis-isoprene to further saturate the
polymer and induce curling into cyclicized versions.
H2
C C
CH3
H
C
H2
C
Bicyclic and tricyclic forms are also possible. (This is usually part of
the proprietary part of photoresist manufacture.
n
C10
H
16
Cyclicized Poly(cis-isoprene) - 2
• Cyclicized poly(cis-isoprene) allows greater solids content in
coating solutions and is less subject to thermal crosslinking.
Property Uncyclicized Cyclicized
Average Molecular Weight ~ 106
~ 104
Density 0.92 g/mL 0.99 g/mL
Softening Point 28 C 50-65 C
C
H2C
C
H2
CH2
C
C
CH3
H2
CCH3
H2
C
monocyclic poly(cis-isoprene)
Intrinsic Viscosity 3-4 0.36-0.49
Unsaturation 14.7 mmole/g 4-8 mmole/g
Vulcanization (Cross-Linking) of Rubber
• Vulcanization of rubber uses sulfur atoms to form bridging
bonds (cross-links) between polymer chains.
• Sulfur is thermally activated; it is not photosensitive.
Components of a Negative Photoresist
• 1. Non-photosensitive substrate material
– About 80 % of solids content
– Usually cyclicized poly(cis-isoprene)
• 2. Photosensitive cross-linking agent
– About 20 % of solids content
– Usually a bis-azide ABC compound
• 3. Coating solvent
– Fraction varies
– Usually a mixture of n-butyl acetate, n-hexyl acetate, and 2butanol
• Example: Kodak KTFR thin film resist:
– work horse of the semiconductor industry from 1957 to 1972.
ABC Photosensitive Cross-Linking Agent
O CHO
+ 2
CH3 N3
4-methylcyclohexanone 4-azidobenzaldehyde
"ABC"
Bis-Azide Cross-Linking Agents
CH3
O
NH3
H
C
H
CH3N
2,6-bis(4-azidobenzal)-4-methylcyclohexanone
• “bis” means oppositely oriented---needed to attach both ends
of the cross linker to two different substrate strands.
• It plays the same role as sulfur in vulcanization of rubber.
• The ABC bis-azide compound is photosensitive instead of
being thermally activated.
• Photosensitivity arises from explosophore groups on ends:
– N3 azide group
– NO2 nitro group
– Lead azide Pb(N3)2 is a primary explosive...
• Nitrenes are photoionized azide groups with a triplet ground
state and a singlet excited state which is extremely reactive
and capable of bonding to hydrocarbon chains.
Bis-Azide Cross-Linking Chemistry - 1
hν
R N3 R N* + N2
photolysis of nitrene group: the only photoreaction
+RN*
2
+RN
5
R N + O2 R NO2 R
6
NH + HCRR
NH
Bis-Azide Cross-Linking Chemistry - 2
HC R
R NHHC
1
3
C
H
N
C
2
C
H
N
C+
+
4
– Photolysis of nitrene group by ultraviolet light is the only
photoreaction.
– Reaction 1 is the desired pathway which leads to one end of the ABC
compound being cross-linked to an isoprene strand.
– Reactions 2, 3, and 4 are an alternative pathway to the same result,
involving an intermediate ground state and a radical state of the
nitrene.
– The ground state nitrene can combine with O2. (Reaction 5)
• This competes with cross-linking.
• This can be used in an image reversal process.
– The radical state nitrene can steal an additional proton from an
isoprene strand and terminate the ABC compound without forming a
cross link. (Reaction 6)
• This competes with cross-linking, also.
Cross-Linking Efficiency
• χ is the efficiency of thermal cross-linking of nitrene
groups to isoprene strands, set by the rates of
reactions 1,2,3,4 versus 5,6.
• φ is the quantum efficiency of photolysis of the azide
groups, set by the wavelength and absorption of the
resist.
• Φ= φχ is the quantum yield of cross-link bond
formation.
• For a bis-azide resist, two bonds are needed (one on
each end) to form a cross-link between isoprene
strands; thus:
• Φ= φ2
χ 2
– This requires two photons per cross-link, and thus has very low
photographic speed.
– This allows great variety in the substrate polymer chains.
The Gel Point
– All sites for cross-linking (chromophores) are equally likely; thus,
larger polymer chains are more likely to bind together than small
ones.
– A many-branched supermolecule results from increased exposure.
– This supermolecule permeates the irradiated area forming a lattice
which solvent atoms can penetrate, but not disperse.
– The polymer chains have at this point been rendered insoluble to the
solvent, and the exposure required to produce this is called the
Gel Point.
Exposure is measured in Einsteins/cm2
(1
Einstein = 1 mole of photons)
The Gel Curve
0.0
0.5
1.0
Gel Fraction, W
Exposure, E
(linear scale)
Gel Point
~ 5 x 1016 photons/cm2, or
~ 8.3 x 10-8 Einsteins/cm2
initial slope
percent of solids by weight in a gel
Exposure and Dose Calculations
The Sensitometric Curve
0.0
0.5
1.0
Gel Fraction, W
Exposure Dose, D
)(logarithmic scale
Gel Point
initial slope is the photographic contrast, γ
percent of solids by weight in a gel
working point range
DG ~ 10-20 mJ/cm2
Exposure energy dose in mJ/cm2
NA = Avogadro’s number = 6.022 x 1023
particles/mole h = Planck’s constant =
6.626 x 10-34
J-s c = speed of light in vacuum = 2.998 x 108
m/s
NAhc = 0.1196 J-m/mole
E = exposure in Einsteins/cm2
D = exposure energy dose in mJ/cm2
Assume nearly monochromatic exposure illumination of wavelength λ
hc
is the energy per photon
l
NA
hc is the energy in a mole of photons (one Einstein) l
= ENA
hc
Therefore:D
l
Optical Absorption by the Resist
A = fraction of light that is absorbed by the photoresist layer dr = thickness of the
photoresist layer αr = optical absorption coefficient of the photoresist layer ρr =
density of the photoresist layer
R1 = reflectivity of the air - photoresist boundary
R2 = reflectivity of the photoresist - substrate boundary
single pass:
A = (1− R1)(1− e− a rdr
)
double pass: − a rz
A = (1− R1)(1− e− a rdr )[1+ R2e− a rdr
]
Cross-Link Fraction
E = exposure in Einsteins/cm2
A = absorbed fraction of light
Φ = quantum efficiency of cross-link formation
C = cross-link fraction
resist
layer
z
I(z)
eRIzI −= )1()( 10
EAΦ = number of formed cross-links in moles/cm2
drρr
= mass of resist in grams/cm2
drρr/2Mm = number of
possible cross-links in moles/cm2
therefore, the fraction of possible cross-links is proportional to the exposure:
= EAΦ2Mm C
drr r
Gel Point Exposure
• The gel point occurs when each polymer strand, on average,
has one cross-link. Thus,
Cgel =M m =1 M
p n
The gel point exposure is thus:
Egel = dr r r = dr r r AΦ2M mn
AΦ2M p
For Φ = 1, A = 1, dr = 1 µm, Mp = 105
g/mole, and λ = 365 nm, obtain that
Egel = 0.25 x 10-9
Einsteins/cm2
and Dgel = 0.1 mJ/cm2
.
This is a benchmark for negative resist systems.
The Flory Function - 1
W = gel fraction (fraction of solids) C
= cross-link fraction
n = degree of polymerization (an integer) = Mp/Mm
f(n) = distribution of polymerization, a log-normal
distribution β = dispersity, typically 0.6 - 2.2 n0 = average
polymer chain length
The Flory function relates the cross-link fraction C (proportional to exposure) to
the resulting gel fraction W (solids content) as a function of the average chain
length and dispersity of the polymer.
f (n) = exp (lnn2−bln2 n0)2 W
∑ n
n=1
The Flory Function - 2
Dispersity and Contrast
• The slope of the sensitometric curve is the photographic
contrast of the resist:
0.0
0.5
1.0
Gel Fraction, W
Exposure, C/Cgel
0 1 2 3 4 5 6 7 8 9 10 11 12
β = 0
β = 1
β = 1.5
β = 2
dW = 2 e− b2
dE gel point Egel
d(logdWE) gel point = 2ln(10) e− b2 = 4.606 e− b2 =g
• Desire a minimally dispersed polymer to optimize the
sensitometric curve.
– Age increases the dispersity of the polymer.
– This is a key factor in limiting the shelf life of photoresist.
Negative Photoresist Ingredients
• 1. Non-photosensitive substrate material
• 2. Photosensitive cross-linking agent
• 3. Coating solvent
• 4. Other additives: (usually proprietary)
– antioxidants
– radical scavengers
– amines; to absorb O2 during exposure
– wetting agents
– adhesion promoters
– coating aids
– dyes
Negative Photoresist Development - 1
• The unexposed (uncross-linked) areas of resist as well as
polymer chains that have not been cross-linked to the overall
network of the gel must be dissolved during development.
• Negative photoresist developers are solvents which swell the
resist, allowing uncross-linked polymer chains to untangle
and be washed away.
• A sequence of solvents is often used to keep the swelling
reversible.
• The swelling of the resist during development is the largest
contributor to loss of features and linewidth limitations.
Negative Photoresist Development - 2
of solvent in ethanol
Negative Photoresist Strippers
• Most commonly used are:
– Methyl ethyl ketone (MEK)
volume expansion factor, V/Vo
molecular percent
1
0
5
10
0% 50% 100%
ethanol (base solvent)
hexane
benzene
toluene
chloroform
increasing
solubility
parameter δ
– Methyl isobutyl ketone (MIBK)
CH3
H3C
O
C C
H2
CH3 H3C CH3 methyl ethyl ketone
(MEK) CH3
methyl isobutyl ketone (MIBK)
Single Component Negative Photoresists
• Electron beam irradiation produces cross-linking.
• An anion A-
is needed to complete the reaction.
A- + R
CH
O
CH2
epoxide group
CH2A-
O
C C
R C
H
+
O-
n
glycidyl methacrylate and ethyl acrylate
copolymer
e-beam radiation CH2A-
H
C CH2 R CH
O O-
CH2A
2
R
O-
H2
C C
CH3
H2
C
CO
O
CH2
CH
H
C
CO
O
CH2
CH3
CH2
O
e-beam radiation
H C
H
C R
O
R CH
O CH2
CH

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Negative Photoresists in photolithography

  • 1. Photoresists in Fabrication in Micro-scale Negative Photoresists H2 H2 H2 H2 alkenes: (at least 1 double bond): H3C−CH= CH − CH2 − CH2 alkanes: (no double bonds): H3C C C C C
  • 2. Organic Chemistry H2 H2 alkynes: (at least 1 triple bond): H3C C C C C [alkenes and alkynes are unsaturated hydrocarbons.] R OH alcohol R O R ' ether CH3OH methanol R CHO aldehyde HCHO formaldehyde O R C R' ketone HCOOH formic acid O R C OH acid
  • 3. Organic Chemistry O R C O R' ester R O OH hydroperoxide R O O R' peroxide benzene OH phenol CH3 toluene CH3 (xoyrltehnoe-) CH3
  • 4. Organic Chemistry (meta-)(para-) CH 3 xylene H3CCH3 xylene H3C ortho- means straight out meta- means beyond para- means opposite
  • 5. Common Monomers and Their Polymers MONOMER POLYMER H2C CH2 n ethylene polyethylene (PE) H2C CHCH CH3CH3n propylene polypropylene (PP) H2C CH H2C CH2 H2C
  • 6. Common Monomers and Their Polymers O O Cln vinyl chloride polyvinyl chloride (PVC) H2C styrene MONOMER POLYMER H2C CH CO CH3n methyl acrylate polymethyl acrylate (PMA) CH3 H2C C CH H2C CH Cl H2C CH n polystyrene (PS) H2C CH CO O CH3
  • 7. Common Monomers and Their Polymers CO CH3n methyl methacrylate polymethyl methacrylate (PMMA) H All rubbers are H2C C C CH2 diene polymers CH 3n isoprene polyisoprene (PI) (2-methyl-1,3-butadiene) H2C C CO CH3 O CH3 H2C C H C CH2 CH3
  • 8. Common Monomers and Their Polymers HOH HOH HOHO HO HO HH HO HO D-glucose D-manose O H H OH H O H OH H H
  • 9. Common Monomers and Their Polymers O O H H HO H HO OH H OH O O H H HO OH HO H H O OH cellulose
  • 10. Atomic Weights hydrogen 1.0079 carbon 12.011 nitrogen 14.0067 oxygen 15.9994 silicon 28.0855 sulfur 32.06 chlorine 35.453 (distribution of isotopes gives rise to fractional atomic weights) Molecular Weights ethylene C2H4 2(12.011) + 4(1.0079) = 28.05 g/mole propylene C3H6 3(12.011) + 6(1.0079) = 42.08 g/mole vinyl chloride C2H3Cl 2(12.011) + 3(1.0079) + 35.453 = 62.50 g/mole
  • 11. styrene C8H9 8(12.011) + 9(1.0079) = 105.16 g/mole methyl acrylate C4H6O2 4(12.011) + 6(1.0079) + 2(15.9994) = 86.09 g/mole methyl methacrylate C5H8O2 5(12.011) + 8(1.0079) + 2(15.9994) = 100.12 g/mole isoprene C5H8 5(12.011) + 8(1.0079) = 68.12 g/mole 1 mole is Avogadro’s number of particles: NA = 6.023 x 1023 Molecular Weight of a Polymer • Mp = nMm • n = number of units • Mm = molecular weight of monomer • Mp = molecular weight of polymer • For use in a photoresist resin, need a molecular weight of around 100,000 - 200,000 for proper viscosity, melting point, softening point, and stiffness. • Example:
  • 12. – To get Mp = 100,000 using isoprene (Mm = 68.12 g/mole), need to get chains of average length of n = 100,000/68.12 = 1468 units. – This would lead to a molecule that is too long for proper photolithographic resolution, so need to coil the chains to make the lengths shorter and to increase the mechanical stiffness. Polyisoprene Rubber • 2-methyl-1,3-butadiene (isoprene) spontaneously polymerizes into natural latex rubber (polyisoprene). • Polyisoprene becomes sticky and looses its shape at warm temperatures. • Natural latex rubber is the only known polymer which is simultaneously: • elastic • air-tight
  • 13. • water-resistantn • long wearing • adheres well to surfaces polyisoprene C5H8 Cyclicized Poly(cis-isoprene) - 1 • Poly(cis-isoprene) is the substrate material for nearly all negative photoresists. – cis- CH3 groups are on the same side of the chain – trans- CH3 groups are on alternatingly opposite sides of the chain – cis-isoprene is needed in order to curl the chains up into rings; (trans- isoprene will not work; CH3 groups would hit each other). • Two protons are added to cis-isoprene to further saturate the polymer and induce curling into cyclicized versions. H2 C C CH3 H C H2 C
  • 14. Bicyclic and tricyclic forms are also possible. (This is usually part of the proprietary part of photoresist manufacture. n C10 H 16 Cyclicized Poly(cis-isoprene) - 2 • Cyclicized poly(cis-isoprene) allows greater solids content in coating solutions and is less subject to thermal crosslinking. Property Uncyclicized Cyclicized Average Molecular Weight ~ 106 ~ 104 Density 0.92 g/mL 0.99 g/mL Softening Point 28 C 50-65 C C H2C C H2 CH2 C C CH3 H2 CCH3 H2 C monocyclic poly(cis-isoprene)
  • 15. Intrinsic Viscosity 3-4 0.36-0.49 Unsaturation 14.7 mmole/g 4-8 mmole/g Vulcanization (Cross-Linking) of Rubber • Vulcanization of rubber uses sulfur atoms to form bridging bonds (cross-links) between polymer chains. • Sulfur is thermally activated; it is not photosensitive.
  • 16. Components of a Negative Photoresist • 1. Non-photosensitive substrate material – About 80 % of solids content – Usually cyclicized poly(cis-isoprene) • 2. Photosensitive cross-linking agent – About 20 % of solids content – Usually a bis-azide ABC compound • 3. Coating solvent – Fraction varies – Usually a mixture of n-butyl acetate, n-hexyl acetate, and 2butanol • Example: Kodak KTFR thin film resist: – work horse of the semiconductor industry from 1957 to 1972. ABC Photosensitive Cross-Linking Agent
  • 17. O CHO + 2 CH3 N3 4-methylcyclohexanone 4-azidobenzaldehyde "ABC" Bis-Azide Cross-Linking Agents CH3 O NH3 H C H CH3N 2,6-bis(4-azidobenzal)-4-methylcyclohexanone
  • 18. • “bis” means oppositely oriented---needed to attach both ends of the cross linker to two different substrate strands. • It plays the same role as sulfur in vulcanization of rubber. • The ABC bis-azide compound is photosensitive instead of being thermally activated. • Photosensitivity arises from explosophore groups on ends: – N3 azide group – NO2 nitro group – Lead azide Pb(N3)2 is a primary explosive... • Nitrenes are photoionized azide groups with a triplet ground state and a singlet excited state which is extremely reactive and capable of bonding to hydrocarbon chains. Bis-Azide Cross-Linking Chemistry - 1 hν R N3 R N* + N2
  • 19. photolysis of nitrene group: the only photoreaction +RN* 2 +RN 5 R N + O2 R NO2 R 6 NH + HCRR NH Bis-Azide Cross-Linking Chemistry - 2 HC R R NHHC 1 3 C H N C 2 C H N C+ + 4
  • 20. – Photolysis of nitrene group by ultraviolet light is the only photoreaction. – Reaction 1 is the desired pathway which leads to one end of the ABC compound being cross-linked to an isoprene strand. – Reactions 2, 3, and 4 are an alternative pathway to the same result, involving an intermediate ground state and a radical state of the nitrene. – The ground state nitrene can combine with O2. (Reaction 5) • This competes with cross-linking. • This can be used in an image reversal process. – The radical state nitrene can steal an additional proton from an isoprene strand and terminate the ABC compound without forming a cross link. (Reaction 6) • This competes with cross-linking, also. Cross-Linking Efficiency
  • 21. • χ is the efficiency of thermal cross-linking of nitrene groups to isoprene strands, set by the rates of reactions 1,2,3,4 versus 5,6. • φ is the quantum efficiency of photolysis of the azide groups, set by the wavelength and absorption of the resist. • Φ= φχ is the quantum yield of cross-link bond formation. • For a bis-azide resist, two bonds are needed (one on each end) to form a cross-link between isoprene strands; thus: • Φ= φ2 χ 2 – This requires two photons per cross-link, and thus has very low photographic speed.
  • 22. – This allows great variety in the substrate polymer chains. The Gel Point – All sites for cross-linking (chromophores) are equally likely; thus, larger polymer chains are more likely to bind together than small ones. – A many-branched supermolecule results from increased exposure. – This supermolecule permeates the irradiated area forming a lattice which solvent atoms can penetrate, but not disperse. – The polymer chains have at this point been rendered insoluble to the solvent, and the exposure required to produce this is called the Gel Point.
  • 23. Exposure is measured in Einsteins/cm2 (1 Einstein = 1 mole of photons) The Gel Curve 0.0 0.5 1.0 Gel Fraction, W Exposure, E (linear scale) Gel Point ~ 5 x 1016 photons/cm2, or ~ 8.3 x 10-8 Einsteins/cm2 initial slope percent of solids by weight in a gel
  • 24. Exposure and Dose Calculations The Sensitometric Curve 0.0 0.5 1.0 Gel Fraction, W Exposure Dose, D )(logarithmic scale Gel Point initial slope is the photographic contrast, γ percent of solids by weight in a gel working point range DG ~ 10-20 mJ/cm2 Exposure energy dose in mJ/cm2
  • 25. NA = Avogadro’s number = 6.022 x 1023 particles/mole h = Planck’s constant = 6.626 x 10-34 J-s c = speed of light in vacuum = 2.998 x 108 m/s NAhc = 0.1196 J-m/mole E = exposure in Einsteins/cm2 D = exposure energy dose in mJ/cm2 Assume nearly monochromatic exposure illumination of wavelength λ hc is the energy per photon l NA hc is the energy in a mole of photons (one Einstein) l = ENA hc Therefore:D
  • 26. l Optical Absorption by the Resist A = fraction of light that is absorbed by the photoresist layer dr = thickness of the photoresist layer αr = optical absorption coefficient of the photoresist layer ρr = density of the photoresist layer R1 = reflectivity of the air - photoresist boundary R2 = reflectivity of the photoresist - substrate boundary single pass: A = (1− R1)(1− e− a rdr )
  • 27. double pass: − a rz A = (1− R1)(1− e− a rdr )[1+ R2e− a rdr ] Cross-Link Fraction E = exposure in Einsteins/cm2 A = absorbed fraction of light Φ = quantum efficiency of cross-link formation C = cross-link fraction resist layer z I(z) eRIzI −= )1()( 10
  • 28. EAΦ = number of formed cross-links in moles/cm2 drρr = mass of resist in grams/cm2 drρr/2Mm = number of possible cross-links in moles/cm2 therefore, the fraction of possible cross-links is proportional to the exposure: = EAΦ2Mm C drr r Gel Point Exposure • The gel point occurs when each polymer strand, on average, has one cross-link. Thus,
  • 29. Cgel =M m =1 M p n The gel point exposure is thus: Egel = dr r r = dr r r AΦ2M mn AΦ2M p For Φ = 1, A = 1, dr = 1 µm, Mp = 105 g/mole, and λ = 365 nm, obtain that Egel = 0.25 x 10-9 Einsteins/cm2 and Dgel = 0.1 mJ/cm2 . This is a benchmark for negative resist systems. The Flory Function - 1
  • 30. W = gel fraction (fraction of solids) C = cross-link fraction n = degree of polymerization (an integer) = Mp/Mm f(n) = distribution of polymerization, a log-normal distribution β = dispersity, typically 0.6 - 2.2 n0 = average polymer chain length The Flory function relates the cross-link fraction C (proportional to exposure) to the resulting gel fraction W (solids content) as a function of the average chain length and dispersity of the polymer. f (n) = exp (lnn2−bln2 n0)2 W ∑ n n=1 The Flory Function - 2
  • 31. Dispersity and Contrast • The slope of the sensitometric curve is the photographic contrast of the resist: 0.0 0.5 1.0 Gel Fraction, W Exposure, C/Cgel 0 1 2 3 4 5 6 7 8 9 10 11 12 β = 0 β = 1 β = 1.5 β = 2
  • 32. dW = 2 e− b2 dE gel point Egel d(logdWE) gel point = 2ln(10) e− b2 = 4.606 e− b2 =g • Desire a minimally dispersed polymer to optimize the sensitometric curve. – Age increases the dispersity of the polymer. – This is a key factor in limiting the shelf life of photoresist. Negative Photoresist Ingredients • 1. Non-photosensitive substrate material • 2. Photosensitive cross-linking agent
  • 33. • 3. Coating solvent • 4. Other additives: (usually proprietary) – antioxidants – radical scavengers – amines; to absorb O2 during exposure – wetting agents – adhesion promoters – coating aids – dyes Negative Photoresist Development - 1 • The unexposed (uncross-linked) areas of resist as well as polymer chains that have not been cross-linked to the overall network of the gel must be dissolved during development.
  • 34. • Negative photoresist developers are solvents which swell the resist, allowing uncross-linked polymer chains to untangle and be washed away. • A sequence of solvents is often used to keep the swelling reversible. • The swelling of the resist during development is the largest contributor to loss of features and linewidth limitations. Negative Photoresist Development - 2
  • 35. of solvent in ethanol Negative Photoresist Strippers • Most commonly used are: – Methyl ethyl ketone (MEK) volume expansion factor, V/Vo molecular percent 1 0 5 10 0% 50% 100% ethanol (base solvent) hexane benzene toluene chloroform increasing solubility parameter δ
  • 36. – Methyl isobutyl ketone (MIBK) CH3 H3C O C C H2 CH3 H3C CH3 methyl ethyl ketone (MEK) CH3 methyl isobutyl ketone (MIBK) Single Component Negative Photoresists • Electron beam irradiation produces cross-linking. • An anion A- is needed to complete the reaction. A- + R CH O CH2 epoxide group CH2A- O C C
  • 37. R C H + O- n glycidyl methacrylate and ethyl acrylate copolymer e-beam radiation CH2A- H C CH2 R CH O O- CH2A 2 R O- H2 C C CH3 H2 C CO O CH2 CH H C CO O CH2 CH3 CH2 O e-beam radiation H C H C R O R CH O CH2 CH