Earlier quoted context omitted.
I’m not a protein crystallographer, but here’s my generalist take. We understand the physics of e.g. X-ray diffraction pretty well, so we can fit pretty decent forward models for the x-ray data given a proposed structure. The hardest task here is getting a good enough guess at the structure to optimize the physical model, and it’s my impression that people use an iterative model refinement workflow. At least that’s h…
X-ray diffraction is pretty nutty, too. You're taking the diffraction pattern, which is the fourier transform of the electron density. Fourier transform results are complex-valued data. Unfortunately, we don't really have X-Ray lasers, so you can only get the intensities and not the phases of those diffraction spots. Since mother science hates us, it of course the case that, in a fourier transform "more information"…
I guess my question is, how do you know if you’ve converged on the right structure or not? Is there a different experiment you could do?