SEARCHING FOR FRACTALS IN CRYSTAL GROWTH
Ken Hammons, Yvette McCulley, Anne Zellinger
I. STATEMENT OF PURPOSE OR HYPOTHESIS:
We wanted to grow the crystals of the solutions that Group 8, the
Pin heads, were using in their electrodeposition experiment. We
hypothesized that a crystal of a particular compound would have a
specific fractal dimension and that different compounds would produce
different fractal dimensions.
- Make up .2M solutions of Cu(NO3)2, CuSO4 and Ni(NO3)2.
- Place 2 drops of each salt solution on glass slides.
- Evaporate to dryness by placing the slides on a hot plate.
- Capture crystal air boundary or interface image on the computer using a video microscope. See Fig. 1.1.
Fig. 1.1: Ni(NO3)2 image
- Load the image into Image 1.4 to adjust the contrast to create
areas of only black and white. See Fig. 1.2
- Crop the image to include only the interface.
- Load this
into MacPaint. Highlight the interface using Trace Edges. Zoom In and
erase any pixels that lie outside the boundary of the interface so that
it is one continuous line. See Fig. 1.3.
III. ANALYSIS OF DATA:
The fractal dimensions of each interface are shown in the graphs
The comparisons show a very limited range of values. The hypothesis is
null according to the very limited range of study allowed in the time
frame. The second hypothesis leads the investigators to believe that
there is no difference between the fractal dimensions of these