High-resolution X-ray diffraction has been used to analyze GaN(0001) epitaxial layers on sapphire substrates. Several structural properties of GaN, including the lattice constants, strains, and dislocation densities are revealed by the technique of X-ray dffraction (XRD). Lattice constants calculated from the omega/2theta scan are c=0.5185 nm and a=0.3157 nm. Also, the in-plane strain is −1.003%, while out of the plane, the epitaxial film is almost relaxed. Several methods are used to deduce the mosaicity and dislocation density of GaN, showing that the edge type dislocations are the overwhelming majority.
GaN, XRD, dislocation, epitaxialGaN has been widely studied for years because of its wide band gap as well as efficient light emitting properties, which makes it suitable for optoelectronic devices [1, 2]. However, due to the large mismatch with substrates such as SiC, Si, and sapphire, strains and stresses are inevitable in group III-nitride thin films, and a proper treatment of strains and stresses in films is significant for understanding the modification of the band gap. Additionally, intense strains and stresses in GaN thin films lead to high densities of threading dislocations [3] (TDs), which can exceed values of 10 10 cm −2 . In this case, the high magnitude of dislocations would affect the electrical and optical properties of thin films, such as carriers' mobility [4], conductivity [5], and emitting efficiency [1, 6]. Consequently, strains and dislocations in thin films are usually researched with great enthusiasm.These sorts of epitaxial layers can be described by a mosaic model [7], as shown in Figure 1. The epitaxial layer is assumed to consist of many single crystallites, namely mosaic blocks, and their twist rotation (in-plane rotation) as well as tilt rotation (out of plane rotation) which would result in the edge-type dislocations and screw-type dislocations in the thin film, respectively. The vertical and lateral dimensions of the block are represented respectively by certain mean vertical (L // ) and lateral correlation lengths ( L ⊥ ). For wurtzite III-nitrides, screw-type dislocations with a Burgers vector b=[0001] result in a tilt of the lattice planes, which in turn are appearent in the full-width at halfmaximum (FWHM) of symmetric X-ray omega scans (rocking curves). More accurately, the Williamson-Hall plots of the FWHMs of the omega scans with increasing order are needed [ 8]. In addition, the tilt and lateral correlation length can be deduced from the slope and y intercept of these plots. Meanwhile, the tilt and lateral correlation of the mosaic blocks contributing to the broadening of the reciprocal lattice point (RLP) can also be determined from the reciprocal space map in asymmetric diffraction geometry [9].In fact, the dislocation density can be directly measured