High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy...
Transcript of High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy...
![Page 1: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/1.jpg)
High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy Techniques
Prof. Marco Farina, Senior Member IEEE Dipartimento di Ingegneria dell’Informazione Università Politecnica delle Marche
![Page 2: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/2.jpg)
Our Team
Andrea Di Donato (Assistant Professor) Giuseppe Venanzoni (Research Fellow) Davide Mencarelli (Research Fellow) Tamara Monti (PhD Student) Francesco Bigelli (PhD Student) Antonio Morini (Associate Professor)
![Page 3: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/3.jpg)
Scanning Probe Microscopy (SPM)
A quite recent class (1981) of microscopy techniques that has improved our understanding of surfaces and materials at sub-nanometric scale. In 1986 this work earned Nobel Prize to Gerd Binnig and Heinrich Rohrer (then @IBM in Zurich)
Today IBM labs still holds records in resolution! Imaging the
charge distribution within a single
molecule F. Mohn et al,
Nature Nanotechnology 7, 227–231
(2012)
Imaging of naphthalocyanine (left) and DFT-model (right)
![Page 4: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/4.jpg)
Scanning Probe Microscopy (SPM)
In all cases a probe is scanned in close proximity of the surface of the sample (or vice-versa) and, depending on the type of probe, variations of some physical parameter arising from the interaction between surface and probe are recorded
SPM techniques may achieve “atomic resolution” at room temperature without need for vacuum!
Generally piezoelectric membranes are used to displace the sample (or the probe) at sub-nanometric scale: membranes are driven by some feedback system
![Page 5: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/5.jpg)
Scanning Probe Microscopy (SPM)
In the Atomic Force Microscope (AFM) in “contact mode”, the device recovers the sample topography by a measurement of the deflection of a mechanical sharp tip, when the latter "touches" -in some sense- the sample surface. The tip is a few atoms at its edge
The deflection is detected by means of a laser beam
Images can be obtained by processing either the lateral or the normal deflection
![Page 6: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/6.jpg)
Atomic Force Microscopy
• Credits animation: J.C. Bean, University of Virginia Virtual LAB
![Page 7: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/7.jpg)
Atomic Force Microscopy
In the “semi-contact mode” the tip oscillates nearby its mechanical resonance; the interaction with the sample modifies amplitude and phase of the mechanical oscillation (there is also a frequency shift)
Useful for softer materials, such as polymers and bio-organic samples; phase allows to detect material inhomogeneity
In the “non-contact” mode, still the tip oscillates, but it is farther
Image: courtesy NT-MDT
![Page 8: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/8.jpg)
Conducting Atomic Force Microscopy
Also called “spreading resistance” microscopy: a bias is applied and the current recorded via a conducting tip. The current is proportional to the sample local resistivity
Image: courtesy NT-MDT
It may be not as easy as it seems: -in air there is always a water meniscus, -there is chance to damage or contaminate the conductive coating during scans -the measurement depends on the contact area, and hence the landing conditions
![Page 9: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/9.jpg)
Techniques derived from AFM: Electric Force Microscopy (EFM)
Using a conductive tip: there are many versions; e.g. in a common semi-contact “two pass” technique the first pass recovers the topography. During the second pass the cantilever is driven at a given distance and following the surface profile, while it oscillates at resonant frequency and cantilever is biased. Capacitive tip-sample electric force (actually its derivative) leads to resonance frequency shift.
Variations of the capacitance (Scanning Capacitance Microscopy SCM), or the surface potential distribution can be imaged by reporting variations in the oscillation amplitude
Image: courtesy NT-MDT
![Page 10: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/10.jpg)
Techniques derived from AFM: SCM
Alternative (typical) implementation of SCM:
Variations of the capacitance are detected as frequency shift of a microwave resonator
Transmission line resonator
Output Coupled line
Varactor
Electrode (SCM probe)
Input coupled line
Resonator X-y scanner
Microwave source (around 1 GHz)
Detector
In any case the above measurements are qualitative and differential (variations are shown)
![Page 11: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/11.jpg)
Other AFM-related Techniques
Kelvin Probe Microscopy: measurement of contact potential difference between tip and sample; often a two-pass technique and a static potential is applied by a feedback system to keep the system in equilibrium. This potential maps the contact potential
Magnetic Force Microscopy: Investigation of magnetic domains; several possible modes even in this case
…and many more Image: courtesy NT-MDT
Actually a good deal of confusion arises in classifying the large number of possible modifications in the original SPM (e.g., contact, semi-contact, non-contact, tapping mode….)
![Page 12: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/12.jpg)
...AFM manipulation
AFM tip can be used to move object at nano-scale and to perform some lithography (below some example at our Dept. [DIBET] old name: the whole text is 2mm wide; thickness 10nm)
![Page 13: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/13.jpg)
A different approach: the Scanning Tunneling Microscopy (STM)
Historically, the first SPM technique
Exploits the tunneling current between a sharp tip and a conducting sample Sharp tips are obtained by simply cutting a conducting wire or by electrochemical etching
Very sensitive as tunnel current is exponentially dependent from the distance!
Virtually tunnel current occurs just at level of a single tip atom (or just a few); hence no problem related to the curvature radius of the tip (convolution) : atomic resolution!
In AFM in fact the height image is a convolution between tip shape and surface geometry
![Page 14: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/14.jpg)
the Scanning Tunneling Microscopy (STM)
• Credits: animation: J.C. Bean, University of Virginia Virtual LAB
![Page 15: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/15.jpg)
Notes
The convolution arising in AFM imaging is not necessarily a dramatic issue: by scanning a known profile, the tip profile can be estimated, and images can be processed by deconvolution
STM on other hand can be used for other kind of measurements, such as the surface Density of States (DoS) by measuring the tunneling volt-ampère characteristic
Image: courtesy NT-MDT
![Page 16: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/16.jpg)
STM: imaging at atomic scale
HOPG (graphite) surface as seen in our lab by the NT-MDT P-47 microscope
Carbonium lattice
![Page 17: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/17.jpg)
Microwave Imaging: basic principles
Near-Field Scanning Microwave Microscopy (SMM): a first successful realization dates back to ‘70s[1] while the idea is credited to E.H. Synge [2], 1928
[1]E. A. Ash and G. Nicholls, "Super-resolution Aperture Scanning Microscope", Nature, vol. 237, pp. 510-512, June 1972
[2] E.H. Synge, "A suggested method for extending microscopic resolution into the ultra-microscopic region", Phil. Mag. 6 356–62, 1928
Microwaves are used to resolve sample details well below the Abbe's barrier, namely the wavelength limit; this is done by exploiting “evanescent” (near field) microwave fields interacting with probe and sample
The general line of reasoning: A sharp tip fed with microwave signal, having curvature radius R0<<l, will generate evanescent waves with wave vector k in the order of 1/ R0, hence rapidly decaying from the metal tip and giving resolution power in the order of R0, in spite of the wavelength
..actually the resolution can be much higher than R0 (shared some principles with synthetic radar)
Main issue: results are a convolution of effects due topography and local composition of the sample; difficult interpretation of results
![Page 18: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/18.jpg)
Scanning Microwave Microscopy
Aperture microscopes: a miniature waveguide is used to generate evanescent fields •Pros: near field interaction may dominate (shielding) •Cons: usually resolution limited (micrometric)
Apertureless microscopes: a sharp tip excites quasi-singular fields •Pros: simple, achieves sub-nanometric resolution •Cons: tip radiates: strong coexistence of local and non-local interaction with sample makes somehow harder quantitative measurements and interpretation of data
Microwave Imaging: basic principles
![Page 19: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/19.jpg)
Aperture Vs Apertureless
waveguide
aperture
sample
coax
sample
Parallel
strip TL
sample sample
cantilever
shield
coax
sample
coax
STM tip
Microwave Imaging: Aperture vs. apertureless
![Page 20: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/20.jpg)
Scanning Microwave Microscopy
Common question: How can we use microwaves (centimetric wavelengths) to image nanometeric features?
Answer: we use electromagnetic fields to locally couple the probe and sample when they are very close (reactive interaction), not as radiated “rays”. The Abbe’s barrier (wavelength diffraction limit) does not apply
BUT: radiated fields still exist. Usually both local and non local interaction occur, making difficult data interpretation.
Microwave Imaging: basic principles
![Page 21: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/21.jpg)
Scanning Microwave Microscopy
Generally SMM is associated to either AFM or STM. AFM or STM are used to control the tip-to-sample distance (for example: Agilent’ implementation uses AFM)
There are important exceptions: in ‘90s group leaded by Weiss used STM tip/sample junction to generate microwave harmonics, using the microwave signal directly in the feedback controlling the tip distance. Important result: possibility to use STM also on insulating specimens
In the most common implementation the SMM tip is part of a microwave resonant structure: they work at a fixed frequency and frequency shift is recorded by a PLL •Pro: enhanced sensitivity, simpler quantitative measurements •Cons: narrow-band; microwave spectroscopy not possible
Microwave Imaging: basic principles
![Page 22: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/22.jpg)
Microwave Imaging: Our Approach
VNA for Microwave signal source and reflection measurement:
- 0.01 – 70 GHz (PNA
E8361A)
- max Dynamic range 120 dB
Our Software:
- STM-SMM synchronization
- Data processing: new algorithms for broadband processing. We process the complex reflection coefficient, not the resonant frequency shift
STM/AFM feedback control and spatial resolution (Nt-MDT Solver P 47)
Coax. C
able
Ethernet Cable
Vector NetworkAnalyzer
Conductive Pt/Ir tip
Sample
XYZ piezo
Tunnel current
Voltagesource
SPMcontroller/Feedback
![Page 23: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/23.jpg)
Microwave Imaging: Our Approach
![Page 24: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/24.jpg)
Pros and Cons of STM
• Possible Atomic Resolution, quite easily, in ambient conditions • Currently no longer restricted to conducting surfaces: very sensitive current amplifiers (<1pA) available, so that also measurement on biological samples is possible. • possible to reduce parasitic interaction between tip and sample, owing to the typical shape of the tip. Minimum the “piezo cross-talk” effect.
AFM tip
STM tip
• STM is difficult over relatively large areas, or over dishomogeneous regions • The STM information is never purely topographic • Need to be careful in reducing interaction between microwave signal and STM electronics
![Page 25: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/25.jpg)
Our implementation
We have not inserted resonators: “broadband” (0-70GHz)
Of course the tip is in any case a resonator, the mismatched cable is a resonator, the cavity is a resonator… (generally “broadband” implementations involved aperture probe)
Consequence: the sensitivity will be frequency dependent. Our “broadband” statement refers to data collection and manipulation rather than to a specific hardware implementation!
Data acquisition: We use a Vector Network Analyzer in the STM-assisted system (usually VNAs in literature have been used in AFM-assisted systems). VNA allows unpaired dynamics and extremely broadband
Microwave Imaging: Our Approach
![Page 26: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/26.jpg)
The idea is straightforward: a sample imaged at different (eventually close) frequencies shows the same features but with different amount of noise; one can extract common features among images obtained at different frequencies
Data Processing: Frequency
In many frequency regions the sensitivity will not be sufficient, owing to the lack of resonances. How to improve sensitivity?
This can be done by performing cross-correlation between images at different frequencies, or simply by normalizing and averaging images (M. Farina et al. IET Electronic Letters Jan 2010)
Microwave Imaging: Our Approach
![Page 27: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/27.jpg)
SMM before frequency processing (20.35GHz)
SMM after frequency processing (20-20.5GHz)
STM
Example: HOPG Microwave Imaging: Our Approach to HOPG
![Page 28: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/28.jpg)
Screen-shot of our software
![Page 29: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/29.jpg)
A gallery of SMM results:
Integrated circuit
STM SMM
![Page 30: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/30.jpg)
Example: Calibration grating
chalcagenid glass, with gold surface and aluminum
sublayer; the pattern height is 30 nm, period 278 nm
STM SMM @ 22.8GHz
A gallery of SMM results:
![Page 31: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/31.jpg)
Example: Fixed C2C12 muscle cell
STM (1pA, 8V) SMM (X band)
A gallery of SMM results: C2C12 mouse muscle cell
![Page 32: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/32.jpg)
Example: Fixed C2C12 muscle cell (zoom) A gallery of SMM results: C2C12 mouse muscle cell (detail)
![Page 33: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/33.jpg)
Example: Fixed C2C12 muscle cell (further zoom) A gallery of SMM results: C2C12 mouse muscle cell: detail
![Page 34: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/34.jpg)
TIME DOMAIN?
What we measure is at the input of a “box error”, defining all effects not related to the sample (cable, tip body etc)
Quantitative measurement: calibration (IEEE MTT 2011, M. Farina et al.)
Y(e)
Sample local
admittance
Raw
Admittance
By assuming to know three different loads, we can evaluate the error box and remove it
Note: here we assume that just one port connects the error to the sample: not trivial (multimode or multipath interaction is possible). Generally multipath interaction gives poor imaging.
![Page 35: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/35.jpg)
TIME DOMAIN?
The tip edge assumed to be as a sphere, and, if the tip-sample distance is known on a ground plane, the sphere capacitance becomes the known load!
Our Idea: the known loads
h1
h2
h3 > h2 > h1
C1
C2
C3
![Page 36: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/36.jpg)
TIME DOMAIN? Comparison theory/experiment
0 100 200 300 400 500 6001.4
1.6
1.8
2
2.2
2.4
2.6
2.8
Height (nm)
Ca
pa
cita
nce
(1
0-1
6 F
)
Tip capacitance against tip/ground distance (calculated square Vs theory circle)
![Page 37: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/37.jpg)
TIME DOMAIN? Time Domain?
![Page 38: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/38.jpg)
TIME DOMAIN?
Question: How can we use microwaves (tents of picoseconds) to image nanometric features?
We can borrow some concepts of time-domain reflectometry and to Fourier-transform the recorded reflection coefficient Consider an open transmission line 1.5cm long. In vacuum at the speed of light a microwave signal is reflected back to the source in 100 picoseconds
1nm at speed of light in vacuum 0.003 femtoseconds...
1.5cm
A Fourier-transform of a signal with 20GHz as upper frequency would give a pulse of 50picoseconds (actually worse for windowing): perfectly detectable
Time Domain?
![Page 39: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/39.jpg)
TIME DOMAIN?
This transmission line could be the probe. Any added capacitance (tip-to-sample interaction) changes the effective length of the line (as known by Hertz...)
The ability to resolve a small time-shift will depend on the system dynamic range, rather than on the upper frequency of the frequency acquisition
Time Domain?
(unfortunately the time delay depends on the frequency so that the pulse is also distorted)
![Page 40: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/40.jpg)
Advantages?
•Probably easier understanding and interpretation of what is going on
•It is at zero cost (just a matter of post-process!)
•The signal in time is Real: features sometimes hidden either in the real or the imaginary parts (or mag and phase) of the frequency domain reflection coefficient are combined in a real signal and identified more easily
•Idea: reflections from the region of sample under the tip vertex (closer region) can be disentangled from reflections arising from the radiated waves, as the latter should reach the probe at different times. Appropriate selection of time should allow to disentangle local and non-local probe interactions
Time Domain:why?
![Page 41: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/41.jpg)
A Model
COAXP2
ID=CX2
Di=600 um
Do=2620 um
L=1.36e4 um
K=2.12
A=0.0573
F=0.1 GHz
CAP
ID=C1
C=55.8 fF
RES
ID=R1
R=7.5e4 Ohm
CAP
ID=C2
C=0.7 fFTLIN
ID=TL2
Z0=2.754e4 Ohm
EL=3.382 Deg
F0=30 GHz
RES
ID=R3
R=657 Ohm
TLIN
ID=TL1
Z0=792 Ohm
EL=104 Deg
F0=10 GHz
RES
ID=R2
R=20.5 Ohm
CAP
ID=C4
C=13.9 fF
CAP
ID=C3
C=8.8 fF
CAP
ID=C5
C=11.4 fF
RES
ID=R4
R=51.3 Ohm
TLIN
ID=TL3
Z0=2.294e4 Ohm
EL=8.575 Deg
F0=30 GHz
CAP
ID=C6
C=12.4 fF
CAP
ID=C7
C=18.1 fF
CAP
ID=C8
C=18.3 fF
RES
ID=R5
R=46.2 Ohm
RES
ID=R6
R=42.2 Ohm
RES
ID=R7
R=1000 Ohm
TLIN
ID=TL4
Z0=1.994e4 Ohm
EL=3.835 Deg
F0=50 GHz
TLIN
ID=TL5
Z0=2.294e4 Ohm
EL=4.195 Deg
F0=60 GHz
TLIN
ID=TL6
Z0=2.264e4 Ohm
EL=347.5 Deg
F0=70 GHz
PORT
P=1
Z=50 Ohm
Local tip to sample interaction
Non-local tip-to-sample and tip-to-surround interaction
Parameters
selected to fit the
measured
response; number
of lines depends
on the frequency
band
A model to understand:
![Page 42: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/42.jpg)
Comparison with measured data A model to understand: experiment vs model
![Page 43: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/43.jpg)
Local
interaction
dominates
Non-local interaction
dominates
Time domain circuit simulation A proper selection of the time interval allows to disentangle local and non local interactions
![Page 44: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/44.jpg)
SMM time transform (no correction!)
Original SMM in frequency (Mag @ 20.35GHz)
...After all Time Domain transform involves a combination of spectral data...
Some result
![Page 45: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/45.jpg)
Ti Domain Animation Some result: HOPG
![Page 46: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/46.jpg)
Now STM/SMM in liquid (M. Farina et al. IEEE
MWCL In press vol 22, issue 11 2012)
![Page 47: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/47.jpg)
Advantages?
•The part of the tip immersed in water may change with piezo z-displacement: cross-talk
•Solutions: •- shield going up to water •- and/or time disentangling capability! See below…
STM SMM in liquid
![Page 48: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/48.jpg)
Advantages? STM SMM in liquid (HOPG)
•STM
•SMM time 1
•SMM time 2
![Page 49: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/49.jpg)
Advantages?
•We are testing a new AFM assisted SMM: easier to land and to compare with topography
•However piezo cross-talk is in this case relevant, owing to parasitic tip to piezo capacitance
AFM assisted SMM (M. Farina et al. Applied
Physics Letters November 2012 in press)
![Page 50: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/50.jpg)
Time Domain Animation
Some result: Interaction nanotubes-cells (co-work with University of Trieste; University of
Chieti, Dr. Tiziana Pietrangelo)
AFM Microwave
![Page 51: High Resolution Imaging of Nanoscale Structures by Scanning Probe Microscopy …deb.univpm.it/Farina/LezioneMicroscopia.pdf · 2012-11-06 · Scanning Probe Microscopy (SPM) In all](https://reader034.fdocuments.in/reader034/viewer/2022042321/5f0a95387e708231d42c5824/html5/thumbnails/51.jpg)
Time Domain Animation Some result: Interaction nanotubes-cells (smaller area around the nanotube)
AFM Microwave