THEORY OF SMALL-ANGLE X-RAY-SCATTERING CAUSED BY INCOMPATIBILITIES INELASTIC ANISOTROPIC MEDIA AND THE APPLICATION TO DISLOCATIONS IN H.C.P. CRYSTALS

So, far. the Small-Angle X-Ray Scattering (SAXS) amplitude caused by i nternal stress sources which are described by an incompatibility field mas calculated for isotropic and cubic crystal symmetry by Kroner and Seeger. In this work this problem has been solved for arbitrary cryst al symmetry within the framework of the linear anisotropic elasticity theory. Using the unique decomposition of the elastic strain tensor in to the deformational and incompatible parts as an ansatz, the SAXS amp litude has been obtained by Fourier transformation of the basic equati ons of the internal stress theory. The integration problem can be redu ced to the Fourier transformation of the incompatibility tensor only. A calculation of the volume dilatation field can be avoided in this wa y. The calculated SAXS amplitude is applied to dislocation loops in h. c.p. crystals. It is shown which information about these dislocation l oops is available by measuring SAXS intensity contours.