Solution of the Phase Problem in the Theory of Structure Determination of Crystals
from X-Ray Diffraction Experiments
There are three things about it I find interesting. First, this has been an outstanding "problem" for 100 years! The second is that it is one of the few examples I have seen where introducing "real world" complications (non-ideal eg. finite spectral width) actually simplifying the calculation. I should disclose the fact that I usually read papers with little experimental impact: ideal systems and first principles papers. It is also kind of cute that it is only 2 pages of work including some fairly basic equations. This paper shows that "standard" models can sometimes be altered slightly (albeit in usually less obvious ways) and solved.