Abstract
In order to investigate the correlation between number and mass bases of both the particle size and shape, the particle size-shape dispersion diagrams were used. On the assumption that the dispersion condition between particle size and shape is expressed with the two dimensional normal distribution laws, the theoretical consideration of the conversion between number and mass bases revealed the equations expressing the correlation between the two bases. The equations of basis conversion derived in this study contain Hatch's equations for the particle size distribution. The average value of the shape distribution changed with the standard deviations of both size and shape distributions and the correlation coefficient between them.