Accurate predictions of iron redox state in silicate glasses: A multivariate approach using X-ray absorption spectroscopy
Abstract
Pre-edge features in the K absorption edge of X-ray absorption spectra are commonly used to predict Fe3+ valence state in silicate glasses. However, this study shows that using the entire spectral region from the pre-edge into the extended X-ray absorption fine-structure region provides more accurate results when combined with multivariate analysis techniques. The least absolute shrinkage and selection operator (lasso) regression technique yields %Fe3+ values that are accurate to ±3.6% absolute when the full spectral region is employed. This method can be used across a broad range of glass compositions, is easily automated, and is demonstrated to yield accurate results from different synchrotrons. It will enable future studies involving X-ray mapping of redox gradients on standard thin sections at 1 × 1 μm pixel sizes.
Acknowledgments
We are grateful to Gordon Moore for the loan of the samples from his thesis and 1995 paper. We acknowledge funding from NSF grants EAR-1219761 and -1219850.
References cited
Berry, A.J., O’Neill, H.St.C., Jayasuriya, K.D., Campbell, S.J., and Foran, G.J. (2003) XANES calibrations for the oxidation state of iron in a silicate glass. American Mineralogist, 88, 967–977.10.2138/am-2003-0704Suche in Google Scholar
Berry, A.J., Yaxley, G.M., Woodland, A.B., and Foran, G.J. (2010) A XANES calibration for determining the oxidation state of iron in mantle garnet. Chemical Geology, 278, 31–37.10.1016/j.chemgeo.2010.08.019Suche in Google Scholar
Borisov, A., and Jones, J.H. (1999) An evaluation of Re, as an alternative to Pt, for the 1 bar loop technique: An experimental study at 1400 °C. American Mineralogist, 84, 1528–1534.10.2138/am-1999-1006Suche in Google Scholar
Cottrell, E., Kelley, K.A., Lanzirotti, A., and Fischer, R.A. (2009) High-precision determination of iron oxidation state in silicate glasses using XANES. Chemical Geology, 268, 167–179.10.1016/j.chemgeo.2009.08.008Suche in Google Scholar
Dyar, M.D., Breves, E.A., Emerson, E., Bell, S.M., Nelms, M., Ozanne, M.V., Peel, S.E., Carmosino, M.L., Tucker, J.M., Gunter, M.E., and others. (2012) Accurate determination of ferric iron in garnets in bulk Mössbauer spectroscopy and synchrotron micro-XANES. American Mineralogist, 97, 1726–1740.10.2138/am.2012.4107Suche in Google Scholar
Filzmoser, P., Gschwandtner, M., and Todorov, V. (2012) Review of sparse methods in regression and classification with application to chemometrics. Journal of Chemometrics, 26, 42–51.10.1002/cem.1418Suche in Google Scholar
Haskell, D. (1999) FLUO: Correcting XANES for self-absorption in fluorescence measurements, http://www.aps.anl.gov/xfd/people/haskel/fluo.html.Suche in Google Scholar
Hastie, T., Tibshirani, R., and Friedman, J. (2009) The Elements of Statistical Learning, 2nd ed., 745 pp. Springer, New York.10.1007/978-0-387-84858-7Suche in Google Scholar
Kalivas, J.H. (1999) Interrelationships of multivariate regression methods using eigenvector basis sets. Journal of Chemometrics, 13, 1311–1329.10.1002/(SICI)1099-128X(199903/04)13:2<111::AID-CEM532>3.0.CO;2-NSuche in Google Scholar
Kraft, S., Stumpel, J., Becker, P., and Kuetgens, U. (1996) High resolution X-ray absorption spectroscopy with absolute energy calibration for the determination of absorption edge energies. Review of Scientific Instruments, 67, 681–687.10.1063/1.1146657Suche in Google Scholar
Lühl, L., Hesse, B., Mantouvalou, I., Wilke, M., Mahikow, S., Aloupi-Siotis, E., and Kanngiesser, B. (2014) Confocal XANES and the Attic black glaze: The three-stage firing process through modern reproduction. Analytical Chemistry, 86, 6924–6930.10.1021/ac500990kSuche in Google Scholar
McMaster, W.H., Kerr-Del Grande, N., Mallett, J.H., and Hubbell, J.H. (1969) Compilation of X-ray cross sections. Lawrence Radiation Laboratory Report UCRL-50174. National Bureau of Standards.Suche in Google Scholar
Moore, G., Righter, K., and Carmichael, I.S.E. (1995) The effect of dissolved water on the oxidation state of iron in natural silicate liquids. Contributions to Mineralogy and Petrology, 120, 170–179.10.1007/BF00287114Suche in Google Scholar
Pedregosa, F., Varoquaux, G., Gramfort, A., Michel, V., Thirion, B., Grisel, O., Blondel, M., Prettenhofer, P., Weiss, R., Dubourg, V., and others. (2011) Scikit-learn: Machine learning in Python. Journal of Machine Learning Research, 12, 2825–2830.Suche in Google Scholar
Ravel, B., and Newville, M. (2005) ATHENA, ARTEMIS, HEPHAESTUS: data analysis for X-ray absorption spectroscopy using IFEFFIT. Journal of Synchrotron Radiation, 12, 537–541.10.1107/S0909049505012719Suche in Google Scholar PubMed
Sato, M., Hickling, N.L., and McLane, J.E. (1973) Oxygen fugacity values of Apollo 12, 14, and 15 lunar samples and reduced state of lunar magmas. Proceedings of the Lunar Science Conference, 4, 1061–1079.Suche in Google Scholar
Wegelin, J.A. (2000) A survey of partial least squares (PLS) methods, with emphasis on the two-block case. Technical Report, University of Washington, Seattle.Suche in Google Scholar
Westre, T.E., Kennepohl, P., DeWitt, J.G., Hedman, B., Hodgson, K.O., and Solomon, E.I. (1997) A multiplet analysis of Fe K-edge 1s-3d pre-edge features of iron complexes. Journal of the American Chemical Society, 119, 6297–6314.10.1021/ja964352aSuche in Google Scholar
Wilke, M., Partzsch, G.M., Bernhardt, R., and Lattard, D. (2005) Determination of the iron oxidation state in basaltic glasses using XANES at the K-edge. Chemical Geology, 213, 71–87.10.1016/j.chemgeo.2004.08.034Suche in Google Scholar
Manuscript handled by Ian Swainson.
© 2016 by Walter de Gruyter Berlin/Boston
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