fem simulation of the scanning electrochemical potential ... · 1 fem simulation of the scanning...
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FEM simulation of the scanning electrochemical potential microscopy (SECPM)
Fayçal. R. Hamou
Max-Planck Institut für Eisenforschung GmbH
Interface Chemistry and Surface Engineering Department
Atomistic Modeling Group (AMG) IMPRS-SurMat
P.U. Biedermann, M. Rohwerder, A.T. Blumeneau
Presented at the COMSOL Conference 2008 Hannover
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Electrochemical Scanning Probe
Microscope Systems
Electrochemical Atomic Force Microscope
(ECAFM)
Electrochemical Scanning Tunneling Microscope
(ECSTM)
Scanning Electrochemical Potential Microscope
(SECPM)
STM imaging of electrode surfaces in solution under electrochemical control.
nanometer-resolution AFM imaging of electrode surfaces in solution
Scanning Electrochemical Microscope (SECM)
Imaging the surface using the Faradaic current from electrolysis of solution species
ESPM
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Scanning Electrochemical Potential Microscopy (SECPM)
•in-situ imaging or potential mapping of the electrode surface with nanometer-scale resolution
Applications: electroplating, corrosion, and battery research and development.
•Measure the profile of Electrochemical Potential at the metal/electrolyte interface
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Potential imaging
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EDL Potential Profiling
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Potential Profiling:
SECPM measurement
• Low concentration
• Polar liquids
• Totally Inert metallic probe
Interpretation of the
SECPM measurement
Estimation of the parameters:
•Debye length
•Concentration profile at the interface.
Theoretical model : Gouy-Chapmann-Stern
Fitting the results
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C. Hurth, C. Li, and Allen J. Bard, J. Phys. Chem. C 2007, 111, 4620-4627
Recent experimental results
• The Gouy-Chpmann-Stern failed to describe the experiment results
• Non-Boltzmannian distribution of the ions
• The tip perturbs the electric double layer (EDL interaction)
• Theoretical approach is needed to interpret the SECPM measurement
M. Rohwerder and J.W. Yan MPIE
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Motivation
SECPM measurement
FEM
SECPM Simulation
EDL Simulation
probe Simulation
• EDL interaction
• Tip geometry effect
• Coating effect
• Theoretical Model for fitting
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Axial symmetric Model
Electric Field
Electric potential
V
Working electrode
z
r
z
Revolving the geometry
Extrusion of the solutionThe full 3D model
v
E
E
Tip
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( ) 01112
1 =∇∇−∇− VCRTzFDCD
( ) 02222
2 =∇∇−∇− VCRTzFDCD
( )o iε ε V ρ NC zq−∇ ∇ = =∑
Solving the PD equations for C1 C2 V and Vt
Finite element method0 't tV Gauss equationε ε ρ∇ =
1 1 2 2( , ) ( , )Q N z qC x y N z qC x y= +∫Surrounding the metallic tip
ED
LP
robe
SE
CP
M
Nernst-Planck Equation in the steady state
Multiphysics Modelling
Symmetric electrolyte 1:1
Physics
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Protruding tip Non-Protruding tip
Tip geometry effect
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Tip geometry effect: Electric potential distribution
Protruding tip Non-Protruding tip
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Cation Anion
Tip geometry effect: Ions distribution
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Tip geometry effect: Ions distribution
Cation Anion
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Tip geometry effect: electric potential
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Tip geometry effect: ions distribution
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ε =2.3ε =4.5
Coating effect
Cation distribution
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Coating effect: electric potential
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Coating effect: ions distribution
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Outlook: Ion size effect, steric effect
The Gouy-Chapmann-Stern Model not valid for SECPM fitting or simulation
Steric effect
SECPM experiment: applied electric potential >200 mV
Modified Poisson Boltzmann
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2sinh
1 2 sinh
b
zqVNzqC kTV
zqVkT
εε υ
⎛ ⎞⎜ ⎟⎝ ⎠∇ =⎛ ⎞+ ⎜ ⎟⎝ ⎠
M. S. Kilic, M.Z Bazant and A. Ajdari: Phys. Rev. E, 75, 021502 (2007)
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Steric effect
Potential Cation concentration
Near future: SECPM Simulation with the modified Poisson-Boltzmann Model
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Thanks to:
• IMPRS-SurMat program for financial support
• Dr. Andreas Erbe form MPIE
• YOU for listening