As with virtually all photographic plate material, the astrograph plat
es from which the Southern Proper Motion (SPM) catalog is being compil
ed suffer from magnitude-dependent systematic shifts in the image posi
tions, i.e., a magnitude equation. If left uncorrected, these would ad
versely affect both the primary goals of the SPM catalog, the absolute
proper motions, and the faint secondary reference frame. Using the di
ffraction-grating images present on the plates, a procedure is adopted
that allows a spatially variant magnitude equation correction to be d
erived individually for each SPM place. Application of the method to s
imilar to 120 SPM fields, primarily around the south Galactic pole and
the -30 degrees and -35 degrees declination zones, demonstrates its e
ffectiveness. Indeed, the method proves superior, in the case of the S
PM, to a direct calibration of the magnitude equation using the newly
available Tycho Catalogue. The result of the diffraction-grating techn
ique is final SPM positions and proper motions that are largely magnit
ude equation-free, as verified by numerous internal and external check
s.