Journal of Applied Polymer Science, Vol.80, No.3, 358-366, 2001
About the Lorentz correction used in interpretation of small-angle X-ray scattering data of semicrystalline polymers
Lorentz correction is used to correct the intensities of X-ray scattering of single-crystal diffractometry in order to recalculate intensities to obtain structure factors. This correction reduces the intensities to zero at zero diffraction angle. Small-angle scattering is used to study the dimensions of heterogeneities in polymeric materials. The scattering intensities at a near to zero scattering angle originate partly from periodic systems (reciprocal lattice) and partly from dispersed particle systems. Periodic systems should result in individual Gaussian or Lorentzian peaks with the position of a peak maximum depending on the length of the periodicity. Particle scattering results in a Gaussian peak centered at zero scattering angle. The effect of the Lorentz correction on the interpretation of small-angle X-ray scattering data is shown for some semicrystalline polyethylenes (high-density, linear low-density, and low-molecular-weight waxy polyethylenes). The data are compared to those for amorphous block copolymers (styrene-butadiene), in which there is a periodic system with homogeneous lamellar thickness. Lorentz correction destroys the characteristics of the particle scattering and can be applied only for periodic systems. It should not be used to produce a peak on scattering data, which do not show periodicity (peaks) without correction.
Keywords:small-angle X-ray scattering;diffraction;semicrystalline polymers;polyethylene;Lorentz correction