I wonder which type of X-ray scattering or diffraction will provide more information of a liquid crystalline polymer, that will be a confirmation relate to the mesophase type.
Article Control over Internal Structure of Liquid Crystal Polymer Na...
Well. It is highly dependent on which spatial scale you need. If you care about lattice scale down to angstrom. You should use WXAD or WXAS. If you want the meso-scale information in nm scale, you should use SAXS.
Perhaps it is more useful to think both small and wide angle x-ray scattering can contain diffraction peaks. The critical issue is the length scales and therefore the angle that you expect to see the repeat spacing on.
Based on your abstract: "Liquid crystal polymer nanofibers with a diameter ranging from 0.13 to 4.71 µm were prepared by electrospinning from a main-chain liquid crystalline polyester, BB-5(3-Me)." If these are the length scales you want to confirm than you will to use USAXS (ultra-small angle x-ray scattering) at a synchrotron source.