By doping in perovskite structure octahedral rotation/tilting occurs; which can depicted by vibrational spectroscopy studies. But my question is how to find the degree of rotation/tilting (how much degree the octahedra gets rotated)?
Prof. Lior provide you three advanced technique to resolve your questions. In brief, Rietveld fitting of your powder x-ray diffraction result can help you to analyze the structure evolution in doped perovskites. The crystallographic sites and bond length and angle information can be output. This technique can help you roughly analyzing the tilt of octahedral rotation.
Yes...Prof. Long... from Rietveld analysis we can get some idea about the angle O-B-O. I think it can also be well resolved by phonon modes present in that side. Anyway thank your for sharing idea.
Exactly Dr. Aurelio...I think polarized Raman study can help in this context...If octahedra rotates Raman active modes related to that vibration may changes it's position/ may change it's intensity...can we correlate these things with octahedra rotation...any idea can you wish to share?
I think that you could refine the XRD data. Then input the refine data to the VESTA software , which can help you to draw the structure model, automatically. Then, you could print the structure with different lattice plane. Then, you could measure the rotated angle of oxygen octahedron at given axis using protractor.