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American Mineralogist

Journal of Earth and Planetary Materials

Ed. by Baker, Don / Xu, Hongwu / Swainson, Ian

IMPACT FACTOR 2017: 2.645

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Volume 101, Issue 5


Use of multivariate analysis for synchrotron micro-XANES analysis of iron valence state in amphiboles

M. Darby Dyar / Elly A. Breves / Mickey E. Gunter / Antonio Lanzirotti
  • Center for Advanced Radiation Sources, University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637, U.S.A
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/ Jonathan M. Tucker
  • Department of Earth and Planetary Science, Harvard University, 20 Oxford Street, Cambridge, Massachusetts 02138, U.S.A
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/ C.J. Carey
  • School of Computer Sciences, University of Massachusetts at Amherst, Amherst, Massachusetts 01003, U.S.A
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/ Samantha E. Peel
  • Department of Earth and Planetary Sciences, The University of Tennessee, 1412 Circle Drive, Knoxville, Tennessee 37996, U.S.A
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/ Elizabeth B. Brown / Roberta Oberti / Mirna Lerotic / Jeremy S. Delaney
  • Department of Earth and Planetary Sciences, Rutgers University, Piscataway, New Jersey 08854, U.S.A
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Published Online: 2016-04-30 | DOI: https://doi.org/10.2138/am-2016-5556


Microanalysis of Fe3+/ΣFe in geological samples using synchrotron-based X-ray absorption spectroscopy has become routine since the introduction of standards and model compounds. Existing calibrations commonly use least-squares linear combinations of pre-edge data from standard reference spectra with known coordination number and valence state acquired on powdered samples to avoid preferred orientation. However, application of these methods to single mineral grains is appropriate only for isometric minerals and limits their application to analysis of in situ grains in thin sections. In this work, a calibration suite developed by acquiring X-ray absorption near-edge spectroscopy (XANES) data from amphibole single crystals with the beam polarized along the major optical directions (X, Y, and Z) is employed. Seven different methods for predicting %Fe3+ were employed based on (1) area-normalized pre-edge peak centroid, (2) the energy of the main absorption edge at the location where the normalized edge intensity has the highest R2 correlation with Fe3+/ΣFe, (3) the ratio of spectral intensities at two energies determined by highest R2 correlation with Fe3+/ΣFe, (4) use of the slope (first derivative) at every channel to select the best predictor channel, (5 and 6) partial least-squares models with variable and constant numbers of components, and (7) least absolute shrinkage and selection operator models. The latter three sophisticated multivariate analysis techniques for predicting Fe3+/ΣFe show significant improvements in accuracy over the former four types of univariate models. Fe3+/ΣFe can be measured in randomly oriented amphibole single crystals with an accuracy of ±5.5–6.2% absolute. Multivariate approaches demonstrate that for amphiboles main edge and EXAFS regions contain important features for predicting valence state. This suggests that in this mineral group, local structural changes accommodating site occupancy by Fe3+ vs. Fe2+ have a pronounced (and diagnostic) effect on the XAS spectra that can be reliably used to precisely constrain Fe3+/ΣFe.

Keywords: Amphibole; X-ray absorption spectroscopy; X-ray near-edge spectroscopy; kaersutite; potassic-magnesio-hastingsite; oxo-potassic-magnesio-hastingsite; pargasite; magnesio-hornblende; actinolite; magnesio-edenite; partial least-squares analysis; Lasso; garnet

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About the article

Received: 2015-09-08

Accepted: 2016-01-18

Published Online: 2016-04-30

Published in Print: 2016-05-01

Citation Information: American Mineralogist, Volume 101, Issue 5, Pages 1171–1189, ISSN (Online) 1945-3027, ISSN (Print) 0003-004X, DOI: https://doi.org/10.2138/am-2016-5556.

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