The table on the right lists the relative intensities of the observed reflections for sodium chloride
along with the d-spacings of the indicated sets of Bragg planes. Actually, the “complete”
dataset for NaCl includes many more reflections - each general hkl reflection is one of 48 symmetry
related reflections. To generate the 48 equivalent reflections, start with set no. 1: hkl, klh, lhk,
hlk, khl, lkh (these six reflections will have equal intensities). For set no. 2, convert +k and +l
in set no. 1 to -k and -l; for set no. 3 convert +h and +l in set no. 1 to -h and -l; for set no. 4,
convert +h and +k in set no. 1 to -h and -k. Finally, take the 24 reflections in these first four
sets and change all positive signs to negative signs and all negative signs to positive signs (“Whew!”)
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