How one can estimate the lattice parameters of a modified polymer from XRD pattern with a constraint that the unmodified polymer assumes a orthorhombic structure?
The inter reticular distance d (h,k,l) is retaled to the diffraction angle (theta) by the Bragg's law. For each diffraction pattern on your diffractogram, you can calculate the related inter reticular distance (it is clear that your polymer should not be amorphous)
You can also estimate the % of crystallinity as told by Chaled.
The parameters suggested by Dr Atilla, and Chalad are very important and common parameters to understand polymers. From this modification, what you observed or expect? However, you can apply the standard formula related to d, a, b, c, h, k, l, theta etc ( material attached). Again, you can apply Hull and Davey tech for its indexing. Before indexing, you can answer yourself the following questions:
1. Are expecting change in its crystal structure ?
2. Are you getting ant increase/decrease of peak intensity?
3. Number of peaks increases/ decreases?
4. Shifting of peak position observed?
5. Pattern of diffraction changes?
6. What method you have used for modification of your polymer?
7. Are you expecting any strain/stress in structure during modification?
You can also refer some paper available in my RG ID.