Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-05T04:29:48.449Z Has data issue: false hasContentIssue false

Standardless Quantitative X-Ray Phase Analysis – Estimation of Precision

Published online by Cambridge University Press:  10 January 2013

L.S. Zevin
Affiliation:
The Institutes for Applied Research and Materials Engineering Department, Ben-Gurion University of the Negev, P.O. Box 1025, Beer-Sheva 84110, Israel
Sh.L. Zevin
Affiliation:
Department of Computer Science, Hebrew University, Jerusalem

Abstract

Quantitative phase analysis of n-phase mixtures can be performed if at least n samples composed of no more than n identical phases are available. The fact that there is no need for pure phases (analytical standards) constitutes the main advantage of the method presented here. However, substitution for the pure phases by an unknown mixture of these phases decreases the diversity of the sample set and also the precision of the analysis. The crucial step in a standardless method is the creation of an initial sample set. A simple test is developed to estimate the suitability of the sample set for analysis and to evaluate the analysis error. Application of this test to 13 four-phase mixtures has confirmed its high quality.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Alexander, L. & Klug, P. (1948). Anal. Chem. 20, 886889.CrossRefGoogle Scholar
Bar-On, P., Zevin, L. & Lach, S. (1981). X-Ray Spectrom. 10, 5760.CrossRefGoogle Scholar
Braun, G. (1986). J. Appl. Cryslallogr. 19, 217221.CrossRefGoogle Scholar
Fang, J.H. & Zevin, L.S. (1985). Sedimentary Petrology 55, 611613.CrossRefGoogle Scholar
Fiala, Ja. (1980). Anal. Chem. 52, 13001304.CrossRefGoogle Scholar
Leroux, J., Lennox, D.H. & Kay, K. (1953). Anal. Chem. 25, 740743.CrossRefGoogle Scholar
Moore, Ch.A. (1965). Southeast. Geol. 6, 139158.Google Scholar
Noble, G. & Daniel, J.W. (1977). Applied Linear Algebra, p 170. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
Starks, T.H., Fang, J.H. & Zevin, L.S. (1984). Mathemat. Geology 16, 351–36.CrossRefGoogle Scholar
Zevin, L.S. (1977). J. Appl. Crystallogr. 10, 147150.CrossRefGoogle Scholar