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What information has been lost when one moves from analyzing a single crystal to considering an ensemble of grains (powder)?
Why are we interested in powder diffraction if single crystal diffraction works well?
Consider a primitive cubic crystal with a single atom basis at the origin. You load a powder of this material into a powder diffractometer and do a scan where delta k starts at the reciprocal lattice origin and moves away in a straight line (aka an omega-2 theta scan).
What is the first peak you would see as delta k moved along its path away from the origin?
QUALITATIVELY, what fraction of the grains would be contributing to the intensity of this first peak if you're using a point detector?
What's the third peak you would see as delta k moved along its path away from the origin?
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