Lorentz–polarization factor for correction of diffraction-line profiles

The Lorentz–polarization factor (1 + cos²2 θ)/sin² θ cos θ for the integrated intensity of a diffraction line is different from the Lorentz–polarization factor (1 + cos² 2θ)/sin² θ for a diffraction-line profile; nevertheless, in most of the literature it is being used to correct diffraction-line profiles. The errors introduced in the peak shape and position by use of the Lorentz–polarization factor (1 + cos² 2θ)/sin² θ cos θ are discussed.