Will you please suggest me a free of cost software for XRD data analysis? and also please suggest me the procedure to calculate the Miller indices from XRD data.
I will make a wild guess and assume you are asking a question about x-ray crystallography. In that case consult a GOOD synthetic inorganic chemist. HTH, David Booth p.s. I was physical and am out of date. Sorry
HighScore Plus, FulProf, MAUD and XPowder are some good softwares for XRD data analysis. However I would agree with Dr. David Eugene Booth that you must consult a good synthetic inorganic chemist or a good XRD analyst.
Please see the previous RG discussions to calculate Miller indices:-https://www.google.com/amp/s/www.researchgate.net/post/How_to_calculate_miller_indices_from_XRD_data_or_graph/amp
Each software has their own specification, though most of them can do quantitative or Rietveld analysis. In particular if you want to do magnetic phase then Fullprof, structure solution then EXPO2014 or PowderCell, modulated structure then Jana2006, micro-structure then PM2K, MEM then Rietan or Z-Rietveld etc.