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CONTROL OF ELECTRON ENERGY DISTRIBUTIONS AND FLUX RATIOS IN PULSED CAPACITIVELY COUPLED PLASMAS * Sang-Heon Song a) and Mark J. Kushner b) a) Department of Nuclear Engineering and Radiological Sciences University of Michigan, Ann Arbor, MI 48109, USA ssongs@umich.edu
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CONTROL OF ELECTRON ENERGY DISTRIBUTIONS AND FLUX RATIOS IN PULSED CAPACITIVELY COUPLED PLASMAS* Sang-Heon Songa) and Mark J. Kushnerb) a)Department of Nuclear Engineering and Radiological Sciences University of Michigan, Ann Arbor, MI 48109, USA ssongs@umich.edu b)Department of Electrical Engineering and Computer Science University of Michigan, Ann Arbor, MI 48109, USA mjkush@umich.edu http://uigelz.eecs.umich.edu Oct 2010 AVS * Work supported by DOE Plasma Science Center and Semiconductor Research Corp.
University of Michigan Institute for Plasma Science & Engr. AGENDA • Motivation for controlling f(e) • Description of the model • Typical Ar pulsed plasma properties • Typical CF4/O2 pulsed plasma properties • f(e) and flux ratios with different • PRF • Duty Cycle • Pressure • Concluding Remarks SHS_MJK_AVS2010_02
k SiH3 + H + e e + SiH4 University of Michigan Institute for Plasma Science & Engr. CONTROL OF ELECTRON KINETICS- f() • Controlling the generation of reactive species for technological devices benefits from customizing the electron energy (velocity) distribution function. • Need SiH3 radicals* • LCD • Solar Cell * Ref: Tatsuya Ohira, Phys. Rev. B 52 (1995) SHS_MJK_AVS2010_03
University of Michigan Institute for Plasma Science & Engr. HYBRID PLASMA EQUIPMENT MODEL (HPEM) Te,S, k Fluid Kinetics Module Fluid equations (continuity, momentum, energy) Poisson’s equation Electron Monte Carlo Simulation E,Ni, ne, Ti • Fluid Kinetics Module: • Heavy particle and electron continuity, momentum, energy • Poisson’s equation • Electron Monte Carlo Simulation: • Includes secondary electron transport • Captures anomalous electron heating • Includes electron-electron collisions SHS_MJK_AVS2010_04
University of Michigan Institute for Plasma Science & Engr. REACTOR GEOMETRY • 2D, cylindrically symmetric • Ar, CF4/O2, 10 – 40 mTorr, 200 sccm • Base conditions • Lower electrode: LF = 10 MHz, 300 W, CW • Upper electrode: HF = 40 MHz, 500 W, Pulsed SHS_MJK_AVS2010_05
PULSE POWER University of Michigan Institute for Plasma Science & Engr. • Use of pulse power provides a means for controlling f(). • Pulsing enables ionization to exceed electron losses during a portion of the period – ionization only needs to equal electron losses averaged over the pulse period. Pmax Power(t) Duty Cycle Pmin Time = 1/PRF • Pulse power for high frequency. • Duty-cycle = 25%, PRF = 100 kHz, 415 kHz • Average Power = 500 W SHS_MJK_AVS2010_06
Ar SHS_MJK_AVS2010_07
University of Michigan Institute for Plasma Science & Engr. MAX MIN PULSED CCP: Ar, 40 mTorr • Pulsing with a PRF and moderate duty cycle produces nominal intra-cycles changes [e] but does modulate f(). • LF = 10 MHz, 300 W • HF = 40 MHz, pulsed 500 W • PRF = 100 kHz, Duty-cycle = 25% ANIMATION SLIDE-GIF • [e] VHF 226 V VLF 106 V f(e) • Te SHS_MJK_AVS2010_08
University of Michigan Institute for Plasma Science & Engr. PULSED CCP: Ar, DUTY CYCLE • Excursions of tail are more extreme with lower duty cycle – more likely to reach high thresholds. ANIMATION SLIDE-GIF • Cycle Average • Duty cycle = 25% • Duty cycle = 50% VHF 128 V VLF 67 V VHF 226 V VLF 106 V • LF 10 MHz, pulsed HF 40 MHz • PRF = 100 kHz, Ar 40 mTorr SHS_MJK_AVS2010_09
University of Michigan Institute for Plasma Science & Engr. PULSED CCP: Ar, PRESSURE • Pulsed systems are more sensitive to pressure due to differences in the rates of thermalization in the afterglow. ANIMATION SLIDE-GIF • Cycle Average • 10 mTorr • 40 mTorr VHF 226 V VLF 106 V VHF 274 V VLF 146 V • LF 10 MHz, pulsed HF 40 MHz • PRF = 100 kHz SHS_MJK_AVS2010_10
CF4/O2 SHS_MJK_AVS2010_11
CW University of Michigan Institute for Plasma Science & Engr. MAX MIN ELECTRON DENSITY • At 415 kHz, the electron density is not significantly modulated by pulsing, so the plasma is quasi-CW. • At 100 kHz, modulation in [e] occurs due to electron losses during the longer inter-pulse period. • The lower PRF is less uniform due to larger bulk electron losses during longer pulse-off cycle. • PRF=415 kHz • PRF=100 kHz • 40 mTorr, CF4/O2=80/20, 200 sccm • LF = 10 MHz, 300 W • HF = 40 MHz, 500 W (CW or pulse) ANIMATION SLIDE-GIF SHS_MJK_AVS2010_12
CW University of Michigan Institute for Plasma Science & Engr. MAX MIN ELECTRON SOURCES BY BULK ELECTRONS • The electrons have two groups: bulk low energy electrons and beam-like secondary electrons. • The electron source by bulk electron is negative due to electron attachment and dissociative recombination. • Only at the start of the pulse-on cycle, is there a positive electron source due to the overshoot of E/N. • PRF=415 kHz • PRF=100 kHz • 40 mTorr, CF4/O2=80/20, 200 sccm • LF 300 W, HF 500 W ANIMATION SLIDE-GIF SHS_MJK_AVS2010_13
CW University of Michigan Institute for Plasma Science & Engr. MAX MIN ELECTRON SOURCES BY BEAM ELECTRONS • The beam electrons result from secondary emission from electrodes and acceleration in sheaths. • The electron source by beam electron is always positive. • The electron source by beam electrons compensates the electron losses and sustains the plasma. • PRF=415 kHz • PRF=100 kHz • 40 mTorr, CF4/O2=80/20, 200 sccm • LF = 10 MHz, 300 W • HF = 40 MHz, 500 W (CW or pulse) ANIMATION SLIDE-GIF SHS_MJK_AVS2010_14
University of Michigan Institute for Plasma Science & Engr. TYPICAL f(e): CF4/O2 vs. Ar • Ar • CF4/O2 • Less Maxwellian f(e) with CF4/O2 due to lower e-e collisions. • Enhanced sheath heating with CF4/O2 due to lower plasma density. • Tail of f(e) comes up to compensate for the attachment and recombination that occurs at lower energy. VHF 226 V VLF 106 V VHF 203 V VLF 168 V ANIMATION SLIDE-GIF • 40 mTorr, 200 sccm • LF = 10 MHz, 300 W • HF = 40 MHz, 500 W (25% dc) SHS_MJK_AVS2010_15
University of Michigan Institute for Plasma Science & Engr. RATIO OF FLUXES: CF4/O2 • In etching of dielectrics in fluorocarbon gas mixtures, the polymer layer thickness depends on ratio of fluxes. • Ions – Activation of dielectric etch, sputtering of polymer • CFx radicals – Formation of polymer • O – Etching of polymer • F – Diffusion through polymer, etch of dielectric and polymer • Investigate flux ratios with varying • PRF • Duty cycle • Pressure • Flux Ratios: • Poly = (CF3+CF2+CF+C) / Ions • O = O / Ions • F = F / Ions SHS_MJK_AVS2010_16
University of Michigan Institute for Plasma Science & Engr. f(e): CF4/O2, PRF • Average • PRF = 100 kHz • The time averaged f(e) for pulsing is similar to CW excitation. • Extension of tail of f(e) beyond CW excitation during pulsing produces different excitation and ionization rates, and different mix of fluxes to wafer. VHF 203 V VLF 168 V ANIMATION SLIDE-GIF • 40 mTorr, CF4/O2=80/20, 200 sccm • LF = 10 MHz, 300 W • HF = 40 MHz, 500 W (25% dc) SHS_MJK_AVS2010_17
University of Michigan Institute for Plasma Science & Engr. RATIO OF FLUXES: CF4/O2, PRF • Ratios of fluxes are tunable using pulsed excitation. • Polymer layer thickness may be reduced by pulsed excitation because poly to ion flux ratio decreases. CW 100 CW 100 415 415 kHz 100 CW 415 F O Poly • 40 mTorr, CF4/O2=80/20, 200 sccm, Duty-cycle = 25% • LF = 10 MHz, 300 W • HF = 40 MHz, 500 W SHS_MJK_AVS2010_18
University of Michigan Institute for Plasma Science & Engr. f(e): CF4/O2, DUTY CYCLE • Control of average f() over with changes in duty cycle is limited if keep power constant. ANIMATION SLIDE-GIF • Cycle Average • Duty cycle = 25% • Duty cycle = 50% VHF 203 V VLF 168 V VHF 191 V VLF 168 V • 40 mTorr, CF4/O2=80/20, 200 sccm • LF 10 MHz, Pulsed HF 40 MHz, PRF = 100 kHz SHS_MJK_AVS2010_19
University of Michigan Institute for Plasma Science & Engr. RATIO OF FLUXES: CF4/O2, DUTY CYCLE • Flux ratio control is limited if keep power constant. • With smaller duty cycle, polymer flux ratio is more reduced compared to the others. CW 50% 25% 50% CW 25% 50% 25% CW F O Poly • LF 10 MHz, Pulsed HF 40 MHz, PRF = 100 kHz • 40 mTorr, CF4/O2=80/20, 200 sccm SHS_MJK_AVS2010_20
University of Michigan Institute for Plasma Science & Engr. f(e): CF4/O2, PRESSURE • Pulsed systems are sensitive to pressure due to differences in the rates of thermalization in the afterglow. ANIMATION SLIDE-GIF • Cycle Average • 10 mTorr • 40 mTorr VHF 233 V VLF 188 V VHF 191 V VLF 168 V • CF4/O2=80/20, 200 sccm, PRF = 100 kHz • LF 10 MHz, Pulsed HF 40 MHz SHS_MJK_AVS2010_21
University of Michigan Institute for Plasma Science & Engr. RATIO OF FLUXES: CF4/O2, PRESSURE • Flux ratios decrease as pressure decreases. • Polymer layer thickness may be reduced with lower pressure in the pulsed CCP. 40 P: Pulsed excitation CW: CW excitation CW 40 mTorr P CW 10 P 10 P CW CW P 40 10 P CW CW P F O Poly • CF4/O2=80/20, 200 sccm • LF = 10 MHz, 300 W • HF = 40 MHz, 500 W • PRF = 100 kHz, Duty-cycle = 25% SHS_MJK_AVS2010_22
CONCLUDING REMARKS • Extension of tail of f(e) beyond CW excitation produces different mix of fluxes. • Ratios of fluxes are tunable using pulsed excitation. • Different PRF provide different flux ratios due to different relaxation time during pulse-off cycle. • Duty cycle is another knob to control f(e) and flux ratios, but it is limited if keep power constant • Pressure provide another freedom for customizing f(e) and flux ratios in pulsed CCPs. SHS_MJK_AVS2010_23