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The superconductivity of a sintered pellet of the newly discovered MgB2 superconductor has been studied withmagnetic measurements and its crystal structure was analysed using the Rietveld method of powder X-ray pattes. Ithas hexagonal symmetry (S.G. P6/mmm) with unit cell lattice parameters a=0.308136(14)nm and c=0.351782(17)nm.