Abstract.Porous magnesium diboride samples have been prepared by the heat treatment of a pressed mixture of Mg and MgB 2 powders. It was found that linked superconducting structure is formed down to the minimum normalized density c = d/d o 0.16 (percolation threshold), where d is the density of MgB 2 averaged over the sample, d o = 2.62 g/cm 3 is the X-ray density. Lattice parameters and critical temperature of the porous sample decrease with increasing porosity (decreasing ) and T c2 32K is minimal at c . The grain boundaries in the porous samples are transparent for the current and J c~3 .
105 A/cm 2 in self field at T= 20K in the samples with ~ 0.24.