AMFORM, a new mass-based model for the calculation of the unit formula of amphiboles from electron microprobe analyses

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Authors

  • Filippo Ridolfi
  • Alberto Zanetti
  • Alberto Renzulli
  • DIego Perugini
  • Francois Holtz
  • Roberta Oberti

Research Organisations

External Research Organisations

  • National Research Council Italy (CNR)
  • University of Urbino "Carlo Bo"
  • University of Perugia
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Details

Original languageEnglish
Pages (from-to)1112-1125
Number of pages14
JournalAmerican Mineralogist
Volume103
Issue number7
Early online date2 Jul 2018
Publication statusPublished - 26 Jul 2018

Abstract

In this work, we have studied the relationships between mass concentration and unit formula of amphibole using 114 carefully selected high-quality experimental data, obtained by electron microprobe (EMP) + single-crystal X-ray structure refinement (SREF) ± secondary-ion mass spectrometry (SIMS) analyses, of natural and synthetic Li-free monoclinic species belonging to the Ca and Na-Ca subgroups, and 75 Li-free and Mn-free C2/m end-members including oxo analogs of Ca amphiboles. Theoretical considerations and crystal-chemical driven regression analysis allowed us to obtain several equations that can be used to: (1) calculate from EMP analyses amphibole unit-formulas consistent with SREF±SIMS data, (2) discard unreliable EMP analyses, and (3) estimate WO2- and Fe3+ contents in Li-free C2/m amphiboles with relatively low Cl contents (≤1 wt%). The AMFORM approach mostly relies on the fact that while the cation mass in Cl-poor amphiboles increases with the content of heavy elements, its anion mass maintains a nearly constant value, i.e., 22O + 2(OH, F, O), resulting in a very well-defined polynomial correlation between the molecular mass and the cation mass per gram (R2 = 0.998). The precision of estimating the amphibole formula [e.g., TSi ± 0.02, CAl ± 0.02, A(Ca+Na+K) ± 0.04 apfu] is 2-4 times higher than when using methods published following the last IMA recommended scheme (2012). It is worth noting that most methods using IMA1997 recommendations (e.g., PROBE-AMPH) give errors that are about twice those of IMA2012-based methods. A linear relation between WO2- and the sum of C(Ti, Fe3+) and A(Na+K) contents, useful to estimate the iron oxidation state of highly oxidized amphiboles typical of post-magmatic processes, is also proposed. A step by step procedure (Appendix1 1) and a user-friendly spreadsheet (AMFORM.xlsx, provided as supplementary material1) allowing one to calculate amphibole unit-formulas from EMP analyses are presented. This work opens new perspectives on the unit-formula calculation of other minerals containing OH and structural vacancies (e.g., micas).

Keywords

    amphibole deprotonation, amphibole oxidation, cation mass, Li-free amphiboles, Mössbauer spectroscopy, oxo component, SIMS, SREF

ASJC Scopus subject areas

Cite this

AMFORM, a new mass-based model for the calculation of the unit formula of amphiboles from electron microprobe analyses. / Ridolfi, Filippo; Zanetti, Alberto; Renzulli, Alberto et al.
In: American Mineralogist, Vol. 103, No. 7, 26.07.2018, p. 1112-1125.

Research output: Contribution to journalArticleResearchpeer review

Ridolfi F, Zanetti A, Renzulli A, Perugini DI, Holtz F, Oberti R. AMFORM, a new mass-based model for the calculation of the unit formula of amphiboles from electron microprobe analyses. American Mineralogist. 2018 Jul 26;103(7):1112-1125. Epub 2018 Jul 2. doi: 10.2138/am-2018-6385
Ridolfi, Filippo ; Zanetti, Alberto ; Renzulli, Alberto et al. / AMFORM, a new mass-based model for the calculation of the unit formula of amphiboles from electron microprobe analyses. In: American Mineralogist. 2018 ; Vol. 103, No. 7. pp. 1112-1125.
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AU - Ridolfi, Filippo

AU - Zanetti, Alberto

AU - Renzulli, Alberto

AU - Perugini, DIego

AU - Holtz, Francois

AU - Oberti, Roberta

N1 - Publisher Copyright: © 2018 Walter de Gruyter GmbH, Berlin/Boston. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2018/7/26

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N2 - In this work, we have studied the relationships between mass concentration and unit formula of amphibole using 114 carefully selected high-quality experimental data, obtained by electron microprobe (EMP) + single-crystal X-ray structure refinement (SREF) ± secondary-ion mass spectrometry (SIMS) analyses, of natural and synthetic Li-free monoclinic species belonging to the Ca and Na-Ca subgroups, and 75 Li-free and Mn-free C2/m end-members including oxo analogs of Ca amphiboles. Theoretical considerations and crystal-chemical driven regression analysis allowed us to obtain several equations that can be used to: (1) calculate from EMP analyses amphibole unit-formulas consistent with SREF±SIMS data, (2) discard unreliable EMP analyses, and (3) estimate WO2- and Fe3+ contents in Li-free C2/m amphiboles with relatively low Cl contents (≤1 wt%). The AMFORM approach mostly relies on the fact that while the cation mass in Cl-poor amphiboles increases with the content of heavy elements, its anion mass maintains a nearly constant value, i.e., 22O + 2(OH, F, O), resulting in a very well-defined polynomial correlation between the molecular mass and the cation mass per gram (R2 = 0.998). The precision of estimating the amphibole formula [e.g., TSi ± 0.02, CAl ± 0.02, A(Ca+Na+K) ± 0.04 apfu] is 2-4 times higher than when using methods published following the last IMA recommended scheme (2012). It is worth noting that most methods using IMA1997 recommendations (e.g., PROBE-AMPH) give errors that are about twice those of IMA2012-based methods. A linear relation between WO2- and the sum of C(Ti, Fe3+) and A(Na+K) contents, useful to estimate the iron oxidation state of highly oxidized amphiboles typical of post-magmatic processes, is also proposed. A step by step procedure (Appendix1 1) and a user-friendly spreadsheet (AMFORM.xlsx, provided as supplementary material1) allowing one to calculate amphibole unit-formulas from EMP analyses are presented. This work opens new perspectives on the unit-formula calculation of other minerals containing OH and structural vacancies (e.g., micas).

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