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Photoresists/Coating/Lithography
Lecture 10.0 Photoresists/Coating/Lithography
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Semiconductor Fab Land $0.05 Billion Building $0.15 Billion
Tools & Equipment $1 Billion Air/Gas Handling Sys $0.2 Billion Chemical/Electrical Sys $0.1 Billion Total $1.5 Billion 10 year Amortization ~$1 Million/day
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80nm Line width with =193 nm Lithography
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Photoresist -Sales $1.2 billion/yr. in 2001
Resins phenol-formaldehyde, I-line Solvents Photosensitive compounds Polymethylmethacrylate or poly acrylic acid = 638 nm RED LIGHT diazonaphthoquinone Hg lamp, = 365 nm, I-line o-nitrobenzyl esters – acid generators Deep UV, = 248 nm, KrF laser Cycloolefin-maleic anhydride copolymer Poly hydroxystyrene =193 nm gives lines 100 nm = 157 nm F laser Additives
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Photoresist Spin Coat wafer Dry solvent out of film Expose to Light
Develop Quench development Dissolve resist (+) or developed resist (-)
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Spin Coating Cylindrical Coordinates Navier-Stokes Continuity
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Navier-Stokes
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Spin Coating Dynamics
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Newtonian Fluid- non-evaporating
If hois a constant film is uniform For thin films, h -1 t-1/2
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Evaporating Model - Heuristic Model
CN non-volatile, CV volatile e= evaporation q= flow rate
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Spin Coater - Heuristic Model
Flow Rate, h is thickness Evaporation rate due to Mass Transfer
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Spin Coating Solution Dimensionless Equations
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Viscosity increases with loss of solvent
Viscosity of pure Resin is very high Viscosity of Solvent is low
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Spin Coating Thickness RPM-1/2 o1/4 Observed experimentally
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Results Effect of Mass Transfer
= dimensionless Mass transfer Coefficient Increase MT Increase in Film Thickness MT increases viscosity and slows flow leading to thicker film Dimensionless Film Thickness
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Dissolve edge of photoresist
So that no sticking of wafer to surfaces takes place So that no dust or debris attaches to wafers Wafer with Photoresist
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Wafer with Photoresist
Light Source Lithography Light passes thru die mask Light imaged on wafer Stepper to new die location Re-image Mask Reduction Lens Wafer with Photoresist
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Lithography Aspect Ratio (AR)=3.5 Lateral Resolution (R)
AR=Thickness/Critical Dimension Critical Dimesion=line width Thickness= photoresist thickness Lateral Resolution (R) R=k1 /NA Numerical Apparature (NA) NA is a design parameter of lens Depth of Focus (DOF) DOF= k2 /NA2
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Lithography - Photoreaction
Photo Reaction Kinetics dC/dt = koexp(-EA/RT) C I(x,) Beer’s Law I(x, )/Io=exp(- () C x) () = extinction coefficient Solution? dC/dt = koexp(-EA/RT) C Io exp(- () C x) C=Co at t=0, 0<x<L
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Drying solvent out of Layer
Removal of Solvent Simultaneous Heat and Mass Transfer In Heated oven Some shrinkage of layer
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Photoresist Positive Negative Light induced reaction Development
decomposes polymer into Acid + monomers Development Organic Base (Tri Methyl ammonium hydroxide) + Water neutralizes Acid group Dissolves layer Salt + monomer Negative Light induced reaction Short polymers crosslink to produce an insoluble polymer layer No Development needed Dissolution of un- reacted material
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Photoresist Development
Boundary Layer Mass Transfer Photoresist Diffusion Chemical Reaction Product diffusion, etc. Reactant Concentration Profile Product Concentration Profile Reaction Plane
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Rate Determining Steps
X
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Dissolution of Uncrosslinked Photoresist
Wafers in Carriage Placed in Solvent How Long?? Boundary Layer MT is Rate Determining Flow over a leading edge for MT Derivation & Mathcad solution Also a C for the Concentration profile
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Mass transfer correlation - flow over leading edge
Sh=Kgx/DAB Kg= DAB / C Sc=/DAB Re=V x/
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Global Dissolution Rate/Time
Depends on Mass Transfer Diffusion Coefficient Velocity along wafer surface Size of wafer Solubility Density of Photoresist Film
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Local Dissolution Rate/Time
Depends on Mass Transfer Diffusion Coefficient Velocity along wafer surface Size of wafer Solubility Density of Photoresist Film Position on the wafer
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