Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Chemistry. 2009 2 (1)
- Authors
- Yakimov, Igor S.; Dubinin, Peter S.; Piksina, Oksana E.
- Contact information
- Yakimov, Igor S. 79 Svobodny, Krasnoyarsk, 660041 Russia ; Dubinin, Peter S. 79 Svobodny, Krasnoyarsk, 660041 Russia; Piksina, Oksana E. 79 Svobodny, Krasnoyarsk, 660041 Russia
- Keywords
- X-ray quantitative phase analysis; reference intensity ratio method; regularization
- Abstract
The application of Tikhonovs regularization theory to reference intensity ratio (RIR) method of standardless X-ray quantitative phase analysis of powder patterns has been developed. A mathematical model of the multi-peaks RIR with addition of element balance equations for chemical analysis data is constructed and common least square functional is regularized. Applications of new regularized reference intensity ratio (RRIR) method are demonstrated on CPD1 data of Round Robin on Quantitative Phase Analysis. The RRIR standard deviation without using of chemical data is 1.13 % mass per phase and with using of XRF CPD non-metals analysis data is 0.69 % mass per phase.
- Pages
- 71-80
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/1302
Journal of Siberian Federal University. Chemistry / Regularization of the Reference Intensity Ratio Method for X-Ray Quantitative Phase Analysis of Powders
Full text (.pdf)