Abstract: Iterative compensation of drift of peak positions of spectral lines is effected in a spectral monochromator including a grating, a detector of spectral fractions of a spectral band, a stepper motor for varying relative orientation of the grating and the detector, and a computer. Computer-defined spectral windows each encopasses a spectral band and has an initial spectral center. Each window is scanned to determine a peak spectral position. Calculation is made for determining a spectral position error of the peak position from the initial center for each corresponding window. A functional average of the offsets for the peaks is calculated as a linear function of window position, and a revised spectral center for each window is calculated as being equal to the initial center plus the functional average for the window position determined from the linear function. Each window is shifted correspondingly.