I want to resolve a issue and kind of mystery to me being a research scholar for the apatite materials. Generally apatite shows P63/m space group when we perform refinement from the XRD data. The issue arises as P63/m do not fit well to explain the vibrational modes(IR or RAMAN) as the DFT calculations suggests wrong results (as read in many papers) and says P63 is the best space group for apatite materials. Many papers says XRD shows an averaging effect nature and a result there is no issue when we perform refinement by P63/m and P63 space group do not fits well during the refinement. Till now its issue has not been yet resolved and I want to solve it. How should I proceed to tackle such kind of situations?