Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in...
Transcript of 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
![Page 2: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/2.jpg)
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
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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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E = 109 Pa
![Page 4: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/4.jpg)
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
![Page 5: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/5.jpg)
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
![Page 6: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/6.jpg)
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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![Page 7: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/7.jpg)
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
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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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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
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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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S:N 105
![Page 10: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/10.jpg)
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
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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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S:N = 104
S:N 103
![Page 12: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/12.jpg)
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
![Page 13: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/13.jpg)
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
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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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S:N = 10
![Page 15: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/15.jpg)
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
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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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1
1
( ) ( ) ( ) N
rec oper
k
y t y k ω δ ω ω −
=
⎡ ⎤= ℑ −⎢ ⎥
⎣ ⎦∑
![Page 17: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/17.jpg)
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
=
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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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Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Simulated fluid tapping cantilever position
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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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Fluid tapping cantilever trajectories
![Page 21: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/21.jpg)
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
![Page 22: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/22.jpg)
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
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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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Experiment Simulation
Appl.Phys.Lett., (2005), 87, 163120/1-163120/3
Fluid Tapping Force-Curve
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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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SPAM under water
PNAS, (2006), 103, 4813-4818
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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
![Page 26: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/26.jpg)
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
![Page 27: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/27.jpg)
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 &&&
![Page 28: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/28.jpg)
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 &&&
![Page 29: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/29.jpg)
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
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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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The effect of noise
Harmonic Comb Filter
![Page 31: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/31.jpg)
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
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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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Sliding window Fourier transform
PNAS, (2006), 103, 4813-4818
Sliding window Fourier transform
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Sliding window Fourier transform
PNAS, (2006), 103, 4813-4818
Sliding window Fourier transform
![Page 34: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/34.jpg)
8/7/2019 Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM
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g
![Page 35: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/35.jpg)
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
![Page 36: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/36.jpg)
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
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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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p y
![Page 38: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/38.jpg)
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
![Page 39: Scanning Probe Acceleration Microscopy: Towards Real Time Reconstruction of Tip-Sample Forces in Tapping Mode AFM](https://reader031.fdocuments.in/reader031/viewer/2022021214/577d2f3a1a28ab4e1eb12756/html5/thumbnails/39.jpg)
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:
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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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Co c us o s