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OLED Simulation using DSMC method
2016/5/18
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 2
Name : Wave Front Co., Ltd.
Incorporation : March 1990
Head Office : Yokohama in Japan
Business Description
(1) CFD(Computational Fluid Dynamics)&Plasma Software, Sales &
Consulting Services
(2) CMMS(Computerized Maintenance Management System) Software,
Sales, Consulting and Implementation services
Number of Employee : 18
Software Products sold in Foreign Countries
(1) Particle-PLUS( Plasma) & DSMC-Neutrals( Rarefied Gas Flow)
(2) PM-Optimizer( CMMS) & FLIPS( Scheduler)
Our Company
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 3
Semiconductor
(1)Thin Film Fabrication: Plasma Enhanced Chemical Vapor Deposition,
Magnetron Sputtering, Ion Plating, Vacuum Evaporation
(2)Microfabrication: Plasma Etching
Surface Processing
Coating on Glass and Other Materials, Hydrophilic Surface Treatment
Plasma Carburizing, Plasma Cleaning
Vacuum Technology
Vacuum Pump
Electrical Appliance
Lighting, Plasma TV, Air Cleaner (Conditioner), Organic Electroluminescence
Energy
Nuclear Fusion Plasma, Solar Cell Fabrication
Internal Combustion Engine
Spark Ignition
Ecology
Exhaust Gas Disposal
Application field of our software
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 4
1. first Rarefied Gas Flow Simulation
based on Direct Simulation Monte Carlo (DSMC) method
2. DSMC-Neutrals is composed of pre, post, and solver.
pre : WF-Geom and WF-Geom2D
post : WF-View
solver : DSMC-Neutrals-GUI
3. No Divergence for All Model including Bad Quality Mesh
User can obtain solution always.
4. Simulation of Thin Film Growth due to Chemical Reaction like CVD
• Gas Phase Chemical Reaction
• Surface Chemical Reaction
5. Detail Geometry Modeling Capability by Unstructured Mesh
Feature
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 55
Mesh Parallel processor
tetrahedron
hexahedron
pyramid
wedge
"DSMC-Neutrals" is commercial software that computes the behavior of the
rarefied gas using the DSMC method. It consists of pre-processor with
powerful mesher, post-processor and solver. DSMC-Neutrals is available for
Hex dominant mesh. Therefore, it is possible to simulate the complicated
geometry model. Chemical reactions in the volume and on the surface are
available. Parallel computing using MPI processor is also possible.
Feature
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 6
Making Grid
Initial Particle Setup
Particles Moving
Reflection on Boundary
Collision between Particles
One particle collides another
in the same cell.
Cell size
D x < l : mean free path
Time interval
D t < t : collision time
Represent Particle of Neutral Species
DSMC method
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 7
Elastic Collision
Inelastic Collision (for Molecule)
• Vibrational Excitation
• Rotational Excitation
• Dissociation
• Recombination
• Molecular(Atom) Exchange
Chemical Reaction ( Total Collision Energy model )
Collision
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 8
T
ETk a
f exp
1132605.11098.4 9
aE
74.027317.40.282N
TDMspecies refref
Reaction : N2 + M -> N + N + M
*1 Bird G. A., “Molecular Gas Dynamics and the Direct Simulation of Gas Flows”, 1st edition, Clarendon Press,
Oxford, New York, (1994)
*2 Yasunori Tanak, J. Phys. D: Appl.Phys. 37 (2004) 1190-1205
T
etemperaturreferenceT
diameterreferenceD
massatomicM
ref
ref
:
:
:
:
VHS parameter*1
Arrhenius parameter*2
Gas phase chemical reaction
DSMC-Neutrals adopts TCE (Total Collision Energy) model. TCE model reproduces
gas phase chemical reaction of Arrhenius type. TCE mode considers dissociation,
recombination, and atom exchange. The reaction includes forward and reverse
reactions, reverse reaction is obtained by partition function. The collision energy
conserves, where activation energy and inner energy is considered.
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 9
212018201717
212018181717
1065.21073.61048.11018.61031.11014.2
1012.21000.61043.11011.61036.11020.2
][7500][10000][15000][20000][25000][30000
NeutralsDSMC
Arrhenius
KKKKKK
Initial density : N2 1x1020 [ / m3 ]
Validation of TCE model
TCE model reproduces well rate
coefficient which is input data of
Arrhenius format.
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 10
CAD WF-Geom DSMC-Neutrals-GUI WF-View
EnSight Desktop
1. Geometry 2. Mesh 3. Solver setting 4. Visualization
• DSMC-Neutrals is composed of WF-Geom, WF-Geom2D, DSMC-Neutrals-GUI
including solver, WF-View. Furthermore, the output file is available for EnSight
Goldd format.
Create geometry ⇒ Make mesh⇒ Set physical parameters ⇒ Visualize results
Pre processor Solver setting Post processor
Package of DSMC-Neutrals
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 11
1. Typical OVPD (Organic Vapor Phase Deposition)
2. OVPD with Carrier Gas
In this simulation, the separate domain model is
presented. The results of low pressure area
tends to be very rough. The high precision
results are obtained using the separate domain
model.
In this simulation, it is introduced how to determine evaporation
rate from enthalpy. Furthermore, DSMC-Neutrals’ results is
compared with experimental data.
Application Example 1
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 12
3. MBE (Molecular Beam Epitaxy) : nozzle shape effect
with cap
without cap
Experimental Data DSMC-Neutrals
Application Example 2
4. OVPD with N2 adsorption on wall : surface reaction
Step 60000 Step 80000 Step100000
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 13
The number of simulated particles is almost proportional to pressure. Therefore, the
number of simulated particles tends to be few and rough results on low pressure area when
the pressure difference between the shower head part and the chamber part is very large.
In OLED simulation, pressure difference between the chamber (1x10-6 Pa) and the source
cell (10 – 100 Pa) exist. Therefore, the numerical error in the chamber is very large. The
results including deposition rate profile are too rough to estimate the results.
DSMC-Neutrals can avoid above problem by using the Separate model. The separate
model computes automatically the low pressure area with many simulated particles. The high
precision results in the chamber including deposition rate are obtained.
1. Typical OVPD
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 14
Low pressure area
(chamber)
High pressure area
(source cell)
Separate model
• first computation
compute for whole computation domain
• second computation
compute separate domain (low pressure area)
The high precision results
are obtained by using
separate domain model.
conventional modelwith separate domain model
1. Separate domain model
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 15
500
[mm]
500
T :300 [ K ]
full adsorption
Glass
T :300 [ K ]
full adsorption
source cell
species:Alq3
T :700 [ K ]
Evaporation rate : 1.0×1022 /m2s
T :700 [ K ]
1. Typical OVPD model
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 16
adsorption profile on substrate
[ #/m2 s ]density profile [ #/m3 ]
The accurate result is obtained short time by using separate
domain model.
1. Results (Typical OVPD)
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 17
4
1.5
45
20 10 91
1.25
4.25
[ cm ]
Species
• carrier gas : N2
• organic material : Alq3
Temp: 269 ℃ or 276 ℃
Substrate300 K
LP-OVPD reactor*1
*1 J. Appl. Phys., Vol. 89, No.2, 1470 (2001)
*1 J. Appl. Phys., Vol. 113, 154503.1-6 (2013)
~3 Pa
Wall 550 K
2. OVPD with carrier gas
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 18
Evaporation rates are estimated with enthalpy in this simulation model. An evaporation rate
with carrier gas flow rate and a source cell temperature are 30 sccm and 276 degree,
respectively. The procedure of estimating evaporation rate is as follows;
1. Deposition rate on the substrate is computed with expected evaporation rate.
2. The evaporation rate is modified by comparing the DSMC-Neutrals’ deposition rate with
experimental that.
3. Repeat above steps till the DSMC-Neutrals’ deposition rate agrees with experimental
deposition rate.
The evaporation rate with other source cell temperature is obtained from following equation.
Equilibrium vapor pressure and proportional to evaporation rate. In above
equation, the condition on the evaporation surface assumes to be equilibrium
that gas flow velocity is zero.
Enthalpy obtained experimental data.
Kinetic factor for evaporation and regarded as fitting parameter in this model.
2. Evaporation rate
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 19
F : 20 [ sccm ]
T : 269 [ ℃ ]
F : 20 [ sccm ]
T : 276 [ ℃ ]
F : 40 [ sccm ]
T : 269 [ ℃ ]
F : 40 [ sccm ]
T : 276 [ ℃ ]
Alq3 number density [m-3]
DSMC-Neutrals’ results reproduce well experimental data
reverse of deposition rate
vs
root of carrier gas flow rate
F : carrier gas flow rate
T : source cell temperature
2. Results (OVPD with carrier gas)
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 20
The nozzle with cap makes film thickness profile uniform. By comparing the models
between with a cap and without it, the geometry dependence is investigated. Furthermore,
DSMC-Neutrals' results are compared to experimental results which are presented on Web
site and in patent information.
cap
without cap with cap
*1.
http://www.ekouhou.net/%E5%88%86%E5%AD%90%E7%B7%9A%E6%BA%90%E3%82%BB%E3%83
%AB/disp-A,2009-40615.html
Computation time:1.3 hour
No. of mesh:20000, No. of sample particle:80000
OS:Windows Vista, CPU:intel 2.66GHz, Memory:8GByte
3. Nozzle shape effect with cap
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 21
substrate
T : 300[K]
adsorp. : 1.0
chamber wall
T : 300[K]
adsorp. : 1.0
symmetry
[mm]
evaporation surface
species : Alq3
T : 700[K]
adsorp. : 1.0
without cap
with cap
40
40
40
3. Nozzle shape effect with cap
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 22
with capwithout cap
DSMC-Neutrals experimental data
3. Results (Nozzle shape effect with cap)
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 23
4. OVPD with N2 adsorption
It is reported that the nitrogen adsorption on the wall affects the film formation. The
coverage effect of nitrogen molecule on chamber wall is computed, where nitrogen
molecules are adsorbed on a surface layer. DSMC-Neutrals can consider the surface
site which shows the coverage rate for each species. Left figure shows the
dependence of adsorption probability of nitrogen on the wall upon the open site. The
open site means dangling bond.
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 24
図 1-1 図 1-2
inflow
flow rate :Alq3 : 1.0×1021 [/m2s]N2 : 200 [sccm]
flow velocity : 10 [m/s]
diameter of : 6 [mm]
substrate
T : 300[K]
substrate side wall
T : 300[K]
chamber wall
T : 300[K]
outlet
T : 300[K]
P : 0.01[Pa]500
[mm]
500
500
450
450
100
4. OVPD with N2 adsorption
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 25
*1 A User’s Guide to Vacuum Technology (3rd ed.) (2003)
*2 Open site rate is 1 – N2 adsorption rate.
Open*2 adsorption
rate
0.57 0.0018
0.67 0.0034
0.75 0.0081
0.87 0.026
0.962 0.13
0.982 0.24
0.989 0.3
OPEN(S) + N2 -> N2(S)
surface reaction equation
(S) show surface site.
4. N2 adsorption on Ti model
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 26
substrate
Alq3 adsorption profle
Step 5000 Step 15000 Step 25000
Step 50000 Step 100000
4. Results (OVPD with N2 adsorption)
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 27
wall
N2 coverage profile
Step 0 Step 20000 Step 40000
Step 60000 Step 80000 Step100000
4. N2 Coverage profile on wall
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 28
• Four simulation models are presented.
• The high precision results are obtained by using the separate
domain model.
• The evaporation rate is estimated using enthalpy of organic material.
• DSMC-Neutrals’ results agree with experimental data in OVPD with
carrier gas.
• In nozzle geometry dependence, the DSMC-Neutrals’ results agree
with experimental data.
Summary
Dust Simulation
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 30
Behavior of dust in the chamber
Dust size is micro meter
Thermophoresis
high temperature
low temperature
Dust (micro-particle) simulation
The dust sometimes has a bad influence on the wafer. The behavior of dusts
is computed by DSMC-Neutrals. It is difficult to simulate behavior of dust
because cross section of the dust is much large and time step becomes too
small for conventional DSMC method.
DSMC-Neutrals can simulate dust behavior with collision weight factor, where
the collision weight factor is the number of molecules in a molecule-dust collision
event or a time step.
The DSMC method with the collision weight factor considers drag and
thermophoretic forces.
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 31
1. Molecule–particle collision model
collision factor
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 32
1. Validation of collision model
As the validation of molecule – particle collision model, thermophoretic velocity
of micro size particle in an Ar gas is computed. Furthermore, the results compares
with Waldmann’s thermophoretic velocity which is theoretical solution.
The validation model is one dimension model. The time step is less than one
millionth of the one for conventional DSMC method. The computation time
becomes to be 1/50,000 with considering the number of sample particles per cell.
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 33
particle speed dependence on momentum
ratio, where ratio of momentum of particle
and momentum transfer in a collision event.
particle speed dependent on accommodation
factor
1. Results (particle in Ar gas)
Below figures show particle speed versus distance from particle generating point.
The particle initial speed is very small. The results is different from Waldmann’s
results because of slip wall around the wall. The DSMC-Neutrals’ thermophoretic
speed agrees with Waldmann’s results.
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 34
2. Thermophoresis phenomena
speed 8.5 m/s
The behavior of 220 nm PSL particle in Air is computed. DSMC-Neutrals’ results
are compared with the experimental data of Kim et. al.. The two models with
temperature gradient 10 K/mm and without are simulated. This phenomena is
used as thermophoretic protection.
J.H.Kim and H.Fissan and C.Asbach and Se-Jin Yook and Y.H.Pui and K.L.Orvek, J. Vac. Sci. Technol.
B, Vol.24. No.3, (2006), pp.1178
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 35
2. Results (density and velocity)
Particle density Particle velocity
The some particles can not arrive at upper wall when temperature gradient exists
because of thermophoretic force. This result is the same as the experimental
results of Kim et. al..
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 36
Inlet : Ar
diameter : 5 mm
gas flow rate : 280 slm1 m
1 mParticles (dusts) are located
around bottom of the chamber
3. Dust simulation
• The micro meter particles are set on bottom of the chamber. The initial dust
density is uniform.
• Ar gas inflows from the nozzle whose diameter is 5mm. Gas flow rate is 280 [slm].
• As the initial condition, Ar gas does not exist in the chamber.
• Wall temperature is 300 K.
• Particle - Particle, Ar atom - Particle, Ar atom - Ar atom collisions are considered.
• Chamber size is 1x1x1 [m3].
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 37
• Density gradient is very large around inlet. Therefore, shock wave appears in
the computation results.
• Particles are blown up by Ar gas flow.
3. Results (Dust simulation)
Copyright © 2016 Wave Front Co., Ltd. All Rights Reserved. 38
• It is important to investigate the particle behavior in the chamber.
• Conventional DSMC method can not be applied to the dust
simulation because time step size becomes much smaller.
• The computation speed with molecule – particle model becomes
50,000 times than conventional DSMC method.
• DSMC-Neutrals can simulate the micro size particle behavior.
Summary