Zur Gitterkonstantenbestimmung mit Ausgleichsmethoden

Abstract

Abstract For determination of lattice parameters by least squares methods iterative algorithms are often used for monoclinic and triclinic symmetries because of apparent nonlinearity of the normal equation. On the other hand, several authors have used straightforward linear solutions, but without proof of linearity. This paper gives conditions necessary and sufficient for the linearity of the problem. In practice, the direct linear approach is possible in general for the determination of lattice parameters.