The correct calibration of coefficients in the inversion model for aerosol mass concentration is the precondition of obtaining highly precise results. The concept of the fractal dimension of scattering equivalent section is presented, and the calibration mechanism of the fractal dimension is discussed. Based on the calibration mechanism, the stability of the fractal dimension is analyzed. Theoretical analysis and experimental results indicate that the fractal dimension obtained by the intersection point calibration method is stable, while that calibrated by the Gauss-Newton method is instable, which only describes the shape characteristic of a small sample. The study of the calibration mechanism for the fractal dimension markedly enhances the present model for aerosol mass concentration.