If we carried out 27Al NMR characterization of sample in DMSO and another 27Al NMR in Solid state then the chemical shift of Al is Changes? Or it is apeared at same position for both the spectra?
It is probably slightly different. Most NMR signals have a chemical shift that is solvent dependent, and the difference between dmso and solid state is presumably much greater than the difference between dmso and D2O. That said, I doubt there would be a huge shift unless the coordination environment of the Al is substantially different in the solid state than in dmso solution--dmso is Lewis basic enough to be a good ligand, and would likely coordinate strongly to trivalent aluminum species, and could potentially displace weakly bound ligands (like bromide or triflate)...
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