presently, I am working on crystalline properties of some polymers with respect to their individual treatments using X-Ray Diffraction (XRD). Is there any software which can give the probable lattice structure based on the XRD data?
Yes, there are softwares, which can give you h,k,l of peaks by matching with standard XRD data. One I know is X'Pert HighScore Plus, which is a paid software.
If you know the crystal structure details like lattice parameters, space group and atomic position x,y,z position coordinates, you can generate the h,k,l data using VESTA, which is free software.
You can also calculate manually if you know the crystal structure details using Bragg's law.
now there is a software in the instrument itself help you to find the structure directly or try by the (X-pert plus), if you want so i'll send it to you by email.
TREOR & DICVOL can be used for determining probable lattice type and probable lattice constants. These analysis are possible using WinPlotr / FullProf software (its free).