How Does the Cell Constant d Relate to Diffraction Angles in Bragg's Law?

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Chemist@
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How is the cell constant "d" related to the cell parameters? I know that for the smallest possible diffraction angle d is equal to the longest cell edge. Why?
 

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Chemist@ said:
How is the cell constant "d" related to the cell parameters? I know that for the smallest possible diffraction angle d is equal to the longest cell edge. Why?

For the relationships, see See http://en.wikipedia.org/wiki/Bragg's_law

Your second statement seems like a special case to me; I've never used it in my work. Do you have a reference for it?