NONLINEAR EQUATIONS FOR X-RAY CRYSTAL ORIENTATION

Nonlinear equations are given for determining the crystallographic orientation of surfaces of single crystals. The equations are solved by an iterative method in several variables. The angle-phi between the surface plane and the lattice plane in question is decomposed into two components alpha and beta. These two components are obtained from the solution of a nonlinear system of equations using two measurements and the Bragg angle. The diffractometric system considered is the well known theta/2-theta with a sufficiently large area of X-ray detection and the capability of holding single-crystal samples. The results obtained are discussed from experimental and theoretical points of view.