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Assessing analytical convolution effects in diffusion studies: Applications to experimental and natural diffusion profiles

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  • Michael C Jollands

Abstract

Given that all in-situ analytical techniques have a non-zero beam size, all measured profiles, resulting from diffusion or otherwise, will be artefactually elongated to some degree. Profiles where the total length over which the concentration changes approaches the resolution of the analytical technique likely suffer from serious convolution; the measured profiles may be considerably elongated relative to the true profile. Resolving this effect is non-trivial, except for some specific combinations of profile type and beam geometry. In this study, a versatile method for numerically deconvoluting diffusion profiles acquired using techniques with Gaussian, Lorentzian, (pseudo-)Voigt, circular/elliptical or square/rectangular interaction volumes, is presented. A MATLAB code, including a user-friendly interface (PACE-the Program for Assessing Convolution Effects in diffusion studies), is also provided, and applied to several experimental and natural profiles interpreted as resulting from diffusion, showing various degrees of convolution.

Suggested Citation

  • Michael C Jollands, 2020. "Assessing analytical convolution effects in diffusion studies: Applications to experimental and natural diffusion profiles," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-14, November.
    • Handle: RePEc:plo:pone00:0241788
    DOI: 10.1371/journal.pone.0241788
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    1. Philipp Ruprecht & Terry Plank, 2013. "Feeding andesitic eruptions with a high-speed connection from the mantle," Nature, Nature, vol. 500(7460), pages 68-72, August.
    2. Michael R. Ackerson & B. O. Mysen & N. D. Tailby & E. B. Watson, 2018. "Low-temperature crystallization of granites and the implications for crustal magmatism," Nature, Nature, vol. 559(7712), pages 94-97, July.
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    1. Andreas Audétat & Axel K. Schmitt & Raphael Njul & Megan Saalfeld & Anastassia Borisova & Yongjun Lu, 2023. "New constraints on Ti diffusion in quartz and the priming of silicic volcanic eruptions," Nature Communications, Nature, vol. 14(1), pages 1-11, December.

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