BST nanoparticles were directly synthesized from solution at 70 degrees C and then wrapped with zinc doped MgO, in solution. This core-shell structure was analyzed by a conjunction of XRD, HRTEM, and FE-SEM. The lattice cell parameter of BST core was found to have shrinkage. The lattice cell mismatch between core and shell creates a variation of lattice cell parameter of BST core and we proposed a new method to estimate it by the XRD peak broadening effect. Two possible modes of matching the BST core and MZO shell were suggested and mode II was assigned to our core-shell structure by the observation of HRTEM and analysis of XRD data. Un-grown BST nanoparticles can also be observed by FE-SEM in fracture grains of the ceramics, which was sintered at 1350 degrees C.