In the last chapter, we presented the principles of x-ray diffraction and the construction of a pole figure, particularly the pole figure constructed from the diffraction patterns obtained by an area detector. In this chapter, we describe the similarities and differences between reflection high-energy electron diffraction (RHEED) transmission mode and x-ray diffraction. Detailed descriptions of the diffraction space characteristics of RHEED transmission for a variety of crystal textures are given. We discuss kinematic simulations of RHEED patterns and the construction of RHEED pole figures from RHEED patterns. The relationship between RHEED pole figures and the orientation distribution function of biaxial texture is presented with examples.
X-Ray Diffraction vs RHEEDMost thin films grown by common deposition techniques such as physical vapor deposition or chemical vapor deposition are not single crystals. Single crystals are grown only under specific favorable conditions. A major technique used for texture structure characterization is the x-ray pole figure. The typical photon energy used in x-ray diffraction is 8,048 eV (Cu K α ), while tens of kiloelectron volt electrons are used for reflection high-energy electron diffraction (RHEED). Here we discuss the similarities and differences between x-ray diffraction and the RHEED transmission mode.
Strength of scattering cross sectionThe scattering cross section for electrons in solids is orders of magnitude higher than that for x-rays. For example, the total elastic electron scattering from Mo at 10 keV incident electron energy is on the order of 10 −19 m 2 (Browning 1991). In the energy range of 1-100 keV, the cross-section scales as E −0.5 in the low-energy regime and E −1 and Z 1.33 in the high-energy regime, where E is in units of keV and Z is the atomic number of an atom. For 1 keV photon, the total photon cross section from Pb is on the order of 10 −22 m 2 (Hubbell et al. 1975). The stronger scattering cross section of electrons provides a stronger electron diffraction signal from ultrathin films and nanostructures.