Working Model of an Atomic Force Microscope
Relatively few laboratory experiments are available for introductory
lab courses relating to nanoscience and nanotechnology.
  In order to
explain the working principles of an atomic force microscope (AFM) to an introductory level physics class, we have created an inexpensive
working model of an AFM using a modified phonograph stylus in place of the AFM cantilever and tip.
  The sample to be studied is positioned under the stylus using a micrometer stage, and a 10 mW laser diode is
used to produce a beam, wh
ich reflects off a very small mirror glued
to the end of the stylus. No electronic detection is used, rather
students can measure the deflection of the tip directly from the
movement of the laser beam on a piece of graph paper placed 50 cm from the mirror.
  The laser beam is deflected roughly a centimeter for each 10 microns of stylus deflection, making it simple for students to
collect data.
  A one-dimensional trace is typically performed, however
the instrument could be easily modified to produce a full
two-dimensional scan.
Working AFM Demonstration Model
Research Funds:

National Science Foundation, Grant Number: DMR - 0348354


College of Arts and Sciences DeanÕs Office at the University of Vermont

¥Acknowledgement
Introduction
Above: Large-scale working model of an Atomic Force Microscope used for class demonstrations. The model uses an aluminum arm with a plexiglass tip to follow the contours of a ÔsampleÕ made from plaster of paris. A photocell detects the reflected laser beam and transmits the signal to an oscilloscope. Note the weight secured to the end of the arm to ensure the lightest possible contact between the arm and the sample.

Oscilloscope Reading from Demo AFM Model
Working AFM Lab Model
Kirsten L. Bonson
Above: Complete set-up of the working AFM model to be used in an introductory nanotechnology lab.
A: Second mirror used to reflect laser beam to screen (behind apparatus)
B: 10 mW laser source (see blow up below)
C: AFM tip (see blow up below)
D: Stage with sample (see blow up below)
E: Micrometer stages used to adjust x/y and z positions
Measurements and Data
Above: Close up of the AFM tip and sample. By seeing them both together, one gets a better sense of scale and also can see how well the tip will trace the sample. In this case, the tip is slightly larger than the deepest parts of the grooves and so measured values will show slightly shallower channels than are actually present.
Introductory Lab
¥Conclusion
¥Michael J. Hamblin
David A. Hammond
Randall L. Headrick
Above: An example of an oscilloscope reading during a scan. The small regular bumps on the top waves are thought to be due to the grooves in the photocell itself.
Above:  Lens which fits over the laser source. The lens is fitted with a cross-hair made from quartz fiber .
A
B
C
E
D
Above: Model tip and sample. The tip is a shortened phonograph stylus. A tiny piece of silicon wafer is glued to the top acting as the primary mirror. The sample is a regularly grooved piece of plastic (see below).
Above: Close up of the grooved plastic sample. The picture is taken from the side at a 10 x zoom. The grooves are approximately 65 micrometers deep and each bump is about 325 micrometers wide.
Above:  Graph of the data taken during actual scans. One scan was performed and then quickly repeated to test for continuity. Converting the laser deflection (in cm) to depth of the groove (micrometers) gave almost the same values as those found using the microscope.
Above:  Students perform scans and collect data using our working AFM model.  Measurements were taken directly off of a sheet of graph paper taped to the screen, as can be seen in the fourth photograph, and graphed in a similar manner as shown previously.  Please note that the students were given flashlights and so the glow that is seen (especially in the fourth photo) is not due to the laser beam alone.
Above: In order to calculate the height of the bumps on the surface of the sample from the deflection of the laser point, students learn the following relationships as illustrated above: the change in angle of the arm is equal to the change in height of the tip (h) divided by the length of the tip (L). The deflection of the laser (d) divided by twice the distance from the second mirror to the screen (D) is also the change in angle of the arm. Therefore, the height of the bumps equals the deflection distance multiplied by the length of the arm divided by twice the distance from the second mirror to the screen, or:  h = dL / 2D.
Overall both our demonstration AFM model and the smaller lab version worked very well. The design of the small model was especially tricky and several setups were tried before this final construction was made. We believe it is the best balance of sensitivity and simplicity. The tip of the AFM was also a very important decision. We found that a shortened phonograph stylus works best after trying a tack, bent sheet metal, and a victrola stylus. 
In the lab, the students were very successful in being able to adjust the sample stage, align the mirror, and measure the deflection of the laser beam. Although the instrument itself was small and somewhat delicate, they were able to take measurements in the dark with little problem.
As for the future of this project, we tried only one kind of phonograph tip so it would be interesting to see if other tips, if any, perform better. Also, a small chip of silicon wafer was by far the best mirror to be used on the tip itself. However, even careful cutting of the silicon resulted in chips of various shapes; this and the fact that they were glued on caused slightly different angles of reflection for each tip. The difference was so small that it could be ignored for our purpose, but improvements could be made if one was willing to invest the time and effort into perfecting the model.
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D
L
h