Table of Contents

AFM Advanced Techniques

Static Force Curves and Measuring the Spring Constant

Static force curves allow you make graphs of deflection versus tip height for single pushes onto a sample. There is a calibration process that is necessary to make these measurements accurate.

Start with the tip far away from the surface to measure virtual deflection. If you don't, the tip will crash into the surface because the trigger channel is set to “none” Calibrating the measured deflection is a two part process:

For the second part of the calibration you will engage the surface with the tip. In this step, you will calibrate the Deflection InvOLS, or Inverse Optical Lever Sensitivity. It is the sensitivity of the detector-cantilever combination, which lets you relate deflection to an actual force value. (It's the inverse because the bigger the number, the less sensitive the detector is.)

There are two ways to proceed from here.

Calibrating the Deflection curve.

force curve from clean tip

force curve from dirty tip

Getting the spring constant of the cantilever is just a few more steps away.

Force Maps

Data from a force curve can be used to calculate material properties of a sample (such as tip-sample adhesion forces, surface softness/elasticity, etc). Other exotic things can be measured as well (such as the forced required to unfold a protein - See Kerstin Blank's cool article on this). Often there may be xy dependence across the sample, so there is a need to take multiple force curves in order to create a map of the parameter versus xy. This technique is known as a force curve map, or a force map.

Example: measuring local resistance of on-chip electronics

Updated 11-12-2012 by Landon for MFP-3D 101010+1403

The below procedure describes how to measure resistances of sample electronics as a function of xy. The sample electronics are biased and a grounded, gold-coated AFM probe is brought into contact at multiple locations. The tip-sample current is recorded as a function of xy. Additionally, a voltmeter may be used to measure the potential on a third (floating) electrode in order to learn the exact voltage drop across the electronics. Similar to a four-point-probe measurement, the current and the voltage drop across the electrics are known - so the resistance of the sample can found precisely (and complications arising from a variable tip-sample resistance are avoided).

Function FMapCalcAdhesion(Data,DataB,ParmWave)  //Hijacked! Outputs electronic resistance and not adhesion force!!!
  //This function uses the voltage drop and current across an element to compute the resistance.
  //It does this by averaging the measured resistances for all values where the voltage drop across the element
  //differs by >10% the 'free-air' values. This code assumes that the bias voltage is applied to the surface
  //electronics and the tip is grounded.
  Wave Data                        //Wave holds current amp signal
  Wave/Z DataB                     //Wave holds voltage amp signal
  Wave/Z ParmWave		     //not used
  Variable CurrentSens = 100e-9    //Set the current amp sensitivity here (in Amps/Volt)
  Variable VoltageSens = 1e2     //Set the voltage amp sensitivity here (in Volts/Volt)
  Variable Bias = 25e-3            //Set the bais on the electronics (in Volts)
  Bias = abs(Bias)
  Variable i1 = 0
  Variable i2 = 0
  Variable ResistanceHold = 0
  
  for(i1=0;i1<dimsize(DataB,0);i1+=1)  //Stepping through the force curve data
    if(abs(DataB[i1])/VoltageSens<0.5*Bias)                 //If the voltage drop drops below 90% then compute and store the resistance
      ResistanceHold+=(bias-abs(DataB[i1])/VoltageSens)/(abs(Data[i1])*CurrentSens)
      i2+=1
    endif
  endfor

    if(i2==0)  //Preventing zero divided by zero
      i2=1
    endif

  Variable Output = ResistanceHold/i2 //This is the average resistance of all of the resistance measurements
  return(output)
End //FMapCalcAdhesion

Offline Analysis

Attractive Mode Imaging

Attractive mode imaging is characterized by imaging with a phase value above 90 degrees. This imaging mode is typically used when the sample is sensitive to the magnitude of the forces being exerted on it during repulsive imaging. During a typical repulsive mode image taken with 'standard' imaging conditions (standard tuning, set point about 675 mV, and a 40 N/m tip), the sample will undergo forces around 50 nN. Imaging in attractive mode (phase above 90 degrees) with a small free air amplitude will reduce the force the tip exerts on the sample by about an order of magnitude (Budget Sensor 40 N/m tips).

Setting the imaging parameters for attractive mode is a straight forward process of reducing the drive amplitude on the tip (this reduces the free air amplitude), then lowering the set point until the tip begins to image the surface. Improving image quality is then balancing the integral gain and scan rate. *Maintaining attractive mode with largely varying sample geometry can be difficult and will require tweaking integral gain and scan rate and possibly lowering the set point*

Electrical Measurements with AFM

There's a helpful manual Asylum made for doing electrical measurements. Here is a link to it on their website http://www.asylumforum.com/forum/attachment.php?attachmentid=56&d=1170453484

You will need to set up a username and password to access the forum.

The manual is also on the T drive at T:\Physics\Minot Group\Manuals\EFM on the MFP.pdf

Using the command line to readout and change voltages

Electric Force Microscopy (EFM)

Alternating Current EFM (AC-EFM)

This scan is a more quantitative version of an EFM scan. Contrast in the NAP amplitude reflects the surface potential and the capacitance there.

Scanning Gate Microscopy (SGM)

Below describes how to do simultaneous SGM and tip-modulated SGM (tmSGM). To do SGM by itself omit the steps involving the lock-in amplifier.

IV Curves

'Standard' IV Curves Applying voltage sweep to tip while recording current through tip via the ORCA current amp. Note: The ORCA current amp maxes out at 500 nA.

'Non-Standard' IV Curves Applying voltage sweep to anything while recording anything. Note: Requires version 080129 (beta) of the MFP-3D software. Note: The following instructions have yet to be 'test run' so there could be errors.

Taking I-Vg curve of an individual nanotube How to contact a nanotube with an Au tip and take a transistor curve of a single CNT. These instructions assume the current amplifier is connected to 'In0' and the gate voltage is coming out of 'Out0'. A similar (and more reliable) measurement can be done using force curve mapping. Consider this more reliable measurement instead if it's only the CNT resistance that you're after (rather than Vg dependence).

Taking a circuit's I-Vg curve These instructions assume the current amplifier is connected to 'In0' and the gate voltage is coming out of “Out0'.

Cutting & Nicking Nanotubes

Updated 06-15-2010 with MFP3D version 090909+0801. These instructions assume the current amplifier output is monitored with a multimeter and connected to 'In0', 'Out0' is the source drain voltage, & 'Out1' is the gate voltage. Use the standard cantilever holder.

Lithography

Using the Litho Panel it is possible to make the tip move along a preassigned path. (e.g. beaver logo) If you want to use this function for the first time it is a good idea to open the Litho Panel (MFP Controls), click on one of the question marks and read thru the help section. If you're done here's a short summary for

Lithography in Deflection (Contact) Mode Updated 03-30-2012 for version 090909+1214

Recording data during lithography

Writing charge on the oxide surface

It is possible to put a large amount of charge on the oxide surface by applying a 10 V bias to the tip. Our group wrote a paper about using this charge to gate CNTs.

There is a recent review of charge writing techniques written by Nikolaus Knorr which appears in Microscopy and Analysis, July 2012. “Charging of insulators has been found to be highly variable in different labs and for different experimenters due to, amongst other things, its strong dependence on the humidity. Therefore, for qunatitative charging experiments it is advisable to work under a well-defined atmosphere by performing the AFM experiments in a glove box or in a humidty cell. A low humidity will also reduce the charge dissipation rate [16].”

[16] N. Knorr et al. J. Appl. Phys. 107 054106 (2010). link (see Figure 11)

Image processing

Basic image processing is described in the manualette (see the red binder or the manuals folder on the T: drive). For making nice 3D images there is an additional stand alone program called ARgyleL (AR stands for Asylum Research, L stands for Light). The program is in the Minot Group folder on the T: drive. ARgyleL has the best interface for adjusting the rendering parameters.

Below are some image processing proceedures that aren't explained in the manualette.

Offline Image Analysis: Energy Dissipation

When looking at saved images its possible to create another tab that displays the energy dissipation. The saved image must include both phase and amplitude tabs for the function that calculates the energy dissiapation to work. In the Command Window, which can be brought up by going to Windows→Command Window(CTRL+j), type CalcDisp4OfflineImage(a,b,c,d,e) then press enter. a should be 0 (enter in values you've recorded) or 1 (let the program choose the values from the saved image parameters). b is the Free Air Amplitude(meters) of the cantilever when the image was taken. c is the measured/estimated spring constant of the cantilever. d is the quality factor of the cantilever, and e is the resonant frequency. Its best to use your own recorded values to get accurate dissipation calculations.

Skins in Igor version of ARgle

Normally you create an Argyle window by clicking '3D' from the image window but that will only bring up a single channel. To overlay one channel on another you need to use the controls in the Argyle Panel (found under “MFP IP/3D Surface Plots” ). On the 'New' tab are settings for launching a new Argyle window with specific settings. First choose the image for the 'surface' and its corresponding 'data type', then check the 'color' checkbox and choose the same image, then choose the other channel to overlay and press 'Do It'.

Once the Argyle window is displayed with the overlay, you can control the scale/offset of the overlay channel by choosing 'Color Scale' in the 'View Mode' dropdown in the 'View' tab. To adjust the physical scaling of the channel with the overlay, change 'View Mode' back to 'Data Scale' and adjust scale/offset accordingly.

If you would like to change the aspect ratio of the 'Z' axis relative to the X/Y axis, change 'View Mode' to 'Zoom' and adjust the 'Z Scale' values. The default ratio of Z is 1/3 of the logical X length.

Also, you may want to uncheck the 'Color' checkbox under the 'New' tab once the overlay is displayed otherwise all subsequent launches of the Argyle window will attempt to perform an overlay.

Exporting high resolution images

ARgyle Light can export at higher resolution, it is controlled by factors (1x, 2x, 3x, 4x) of the window size instead of specific dimensions for each axis. You set these factors in the Preferences dialog.

When using the Igor version of ARgyle, open the command line interface in Igor: argl_export2(”“, “c:image1.jpg”, 0, 0, 4000, 3000 )

fileSaveType 0 JPEG 1 JPEG 2 PNG 3 TIFF 4 BMP

operationType 0 Just use command line variables 1 Show a file SaveAs dialog and allow the user to set name, path, and type

xDimension yDimension You will need to scale your dimensions to the same aspect ratio as the ARgyle window in Igor to get the proper output. Each dimension should not be greater than 4096.