scanning probe acceleration microscopy: towards real time reconstruction of tip-sample forces in...
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8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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PNAS, (2006), 103, 4813-4818
Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Scanning Probe Acceleration Microscopy:Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
Tomek Kowalewski
Department of Chemistry
Carnegie Mellon University
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Acknowledgements:
Justin Legleiter
Brian Cusick
Matthew Park
Funding:
NSF: CTS-0304568, DMR-9974457
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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E = 109 Pa
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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E = 108 Pa
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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E = 107 Pa
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Plotting tapping force vs. cantilever deflection reveals that each tappingevent resembles closely the contact mode force curve.
The slope of these “mini force curves” depends in a familiar way on tehsample stiffness and dictates the width of the tapping pulse
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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0[ sin(2 )]eff o tip samo l p p em z bz k z D a f t F π −+ + − − =&& &
0
1[ ( sin(2 ))]o otip samp e
e
l p
ff
z bz kz k D a f t
m
F π −= − − + −&& &
Cantileveracceleration
These terms vary as exp( i ω op t)Tappingforce pulse
PNAS, (2006), 103, 4813-4818
Towards direct reconstruction of tip-sample force fromcantilever trajectory
Scanning Probe Acceleration Microscopy
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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S:N 105
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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S:N = 105
S:N = 104
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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S:N = 104
S:N 103
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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S:N = 103
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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S:N = 103
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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S:N = 10
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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1
1( ) ( ) ( )
N
rec oper
k y t y k ω δ ω ω
−
=
⎡ ⎤= ℑ −⎢ ⎥⎣ ⎦∑
PNAS, (2006), 103, 4813-4818
Harmonic Comb Filtering
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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1
1
( ) ( ) ( ) N
rec oper
k
y t y k ω δ ω ω −
=
⎡ ⎤= ℑ −⎢ ⎥
⎣ ⎦∑
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Key To Modeling “Fluid Tapping” : LOW Q!
0 0 0[ sin( )]eff ext m z bz k z D a t F ω + + − − =&& &
26 / z HRF tipext −=
22 / 3 6 / )()3 /(4 DMT tip DMT tipeff ext a HR za RF −−= πκ
where
for z > a DMT
for z < a DMT
omQ
b
ω =
o
o
AQ
a
=
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Simulated fluid tapping cantilever position
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Fluid tapping cantilever trajectories
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Simulated fluid tapping cantilever position
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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0 0 sin( ) y z D a t ω = − +Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Recall that optical lever measures cantilever deflection – not position!
Fluid Tapping Force-Curve
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Experiment Simulation
Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Fluid Tapping Force-Curve
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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SPAM under water
PNAS, (2006), 103, 4813-4818
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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PNAS, (2006), 103, 4813-4818
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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⎥⎦⎤⎢
⎣⎡ ++−−= )]cos(
1)[sin(
10
2 t Q
t amky ybF m
y eff ext
eff
ω ω ω &&&
PNAS, (2006), 103, 4813-4818
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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⎥⎦⎤⎢
⎣⎡ ++−−= )]cos(1)[sin(1
0
2 t Q
t amky ybF m
y eff ext
eff
ω ω ω &&&
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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⎥⎦⎤⎢
⎣⎡ ++−−= )]cos(1)[sin(1
0
2 t Q
t amky ybF m
y eff ext
eff
ω ω ω &&&
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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⎥⎦⎤⎢
⎣⎡ ++−−= )]cos(1)[sin(1
0
2 t Q
t amky ybF m
y eff ext
eff
ω ω ω &&&
The effect of noise
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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The effect of noise
Harmonic Comb Filter
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Harmonic Comb Filter
1
1
( ) ( ) ( )
N
rec oper
k
y t y k ω δ ω ω −
=
⎡ ⎤= ℑ −⎢ ⎥⎣ ⎦∑
Sliding window Fourier transform
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Sliding window Fourier transform
PNAS, (2006), 103, 4813-4818
Sliding window Fourier transform
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Sliding window Fourier transform
PNAS, (2006), 103, 4813-4818
Sliding window Fourier transform
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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g
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Calibration curve
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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PNAS, (2006), 103, 4813-4818
Total brain lipid extract bilayers
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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p y
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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PNAS, (2006), 103, 4813-4818
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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PNAS, (2006), 103, 4813-4818
Conclusions:
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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Co c us o s