Articles | Volume 4, issue 2
Geochronology, 4, 561–576, 2022
Geochronology, 4, 561–576, 2022
Research article
19 Aug 2022
Research article | 19 Aug 2022

An algorithm for U–Pb geochronology by secondary ion mass spectrometry

Pieter Vermeesch

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Cited articles

Aitchison, J.: The Statistical Analysis of Compositional Data, J. Roy. Stat. Soc., 44, 139–177, 1982. a
Aitchison, J.: The statistical analysis of compositional data, London, Chapman and Hall, ISBN 0412280604, 1986. a
Black, L. P.: The use of multiple reference samples for the monitoring of ion microprobe performance during zircon 207Pb /206Pb age determinations, Geostand. Geoanal. Res., 29, 169–182, 2005. a
Black, L. P., Kamo, S. L., Allen, C. M., Davis, D. W., Aleinikoff, J. N., Valley, J. W., Mundil, R., Campbell, I. H., Korsch, R. J., Williams, I. S., and Foudoulis, C.: Improved 206Pb /238U microprobe geochronology by the monitoring of a trace-element-related matrix effect; SHRIMP, ID–TIMS, ELA–ICP–MS and oxygen isotope documentation for a series of zircon standards, Chem. Geol., 205, 115–140, 2004. a
Bodorkos, S., Bowring, J., and Rayner, N.: Squid3: Next-generation Data Processing Software for Sensitive High Resolution Ion Micro Probe (SHRIMP), Geoscience Australia,, 2020. a, b
Short summary
Secondary ion mass spectrometry (SIMS) is the oldest and most sensitive analytical technique for in situ U–Pb geochronology. This paper introduces a new algorithm for SIMS data reduction that treats data as compositional data, which means that the relative abundances of 204Pb, 206Pb, 207Pb, and 238Pb are processed within a tetrahedral data space or simplex. The new method is implemented in an eponymous computer programme that is compatible with the two dominant types of SIMS instruments.