How to determine a particular microstrututure to be fcc or bcc?
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The procedure is straightforward and is something that we teach to our first year undergraduate students when we introduce them to diffraction. I'll describe the old-fashioned paper and pencil method:
First, measure the 2-theta values of the lowest angle diffraction peaks in your pattern and list them in a column. For each, calculate [sin(theta)]^2 and then compute the ratios of successive values of [sin(theta)]^2, and list these as the nearest integer. These are labelled "N" below. For a first example, suppose we have the following 2-theta values and their results:
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