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Why we should give up the sin2ψ method

Published online by Cambridge University Press:  06 March 2012

Balder Ortner
Balder Ortner
Affiliation:
University Leoben, Jahnstraße 12, A-8700 Leoben, Austria
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Abstract

The sin2ψ method can be formulated as a single system of simultaneous linear equations. Using this it is easy to show that the sin2ψ method is not a least-squares method. It further helps to compare the accuracies of the stress tensors obtained by the sin2ψ method and the method of least squares. Quantitative comparisons have been made for different fictitious measurements. It is shown that the unnecessary loss in accuracy by using the sin2ψ method is quite significant and by no means negligible. The same course of action has been applied to compare the so-called Dölle-Hauk method with a least-squares method; the result is similar. Some other methods for X-ray stress determination, most often similar to the sin2ψ method, and their shortcomings are also discussed briefly, together with the corresponding, more effective and more versatile least-squares method.

Keywords

X-ray stress measurementsin2 ψ methodX-ray elastic factorsleast-squares method
Type
Methods For Residual Stress Analysis
Information
Powder Diffraction , Volume 24 , Supplement S1 , June 2009 , pp. S16 - S21
Copyright
Copyright © Cambridge University Press 2009

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