Crystal real-space crystallographic methods

Diffraction methods depend on interference effects, and therefore obtaining structural information from the observed patterns also involves Fourier transformations. For crystal lattices a three-dimensional FT is used to convert between the recorded diffraction scattering pattern (in reciprocal space) and the crystallographic lattice (in real space) (Sections 3.4 and 10.2). Similarly, in gas-phase electron diffraction a one-dimensional FT converts between the (reciprocal space) diffraction data and the (real space) radial distribution curves, which are one-dimensional plots of increasing distances separating pairs of atoms in the stmcture. 

---