TY - JOUR A1 - Vogl, Jochen A1 - Rienitz, O. A1 - Pramann, A. A1 - Flierl, L. T1 - Scale Conversion and Uncertainty Calculations in Isotope Delta Measurements JF - Geostandards and Geoanalytical Research N2 - Isotope ratio applications are on the increase and a major part of which are delta measurements, because they are easier to perform than the determination of absolute isotope ratios while offering lower measurement uncertainties. Delta measurements use artefact-based scales and therefore scale conversions are required due to the lack of the scale defining standards. Such scale conversions often form the basis for comparing data being generated in numerous projects andtherefore need to be as accurate as possible. In practice, users are tempted to apply linear approximations, which are not sufficiently exact, because delta values are defined by nonlinear relationships. The bias of such approximations often is beyond typical measurement uncertainties and its extent can hardly be predicted. Therefore, exact calculations are advised. Here, the exact equations and the bias of the approximations are presented, and calculations are illustrated by real-world examples. Measurement uncertainty is indispensable in this context and therefore, its calculation is described as well for determining delta values but also for scale conversions. Approaches for obtaining a single delta measurement and for repeated measurements are presented. For the latter case, a new approach for calculating the measurement uncertainty is presented, which considers covariances between the isotope ratios. KW - Delta isotope standard KW - Delta scale KW - In-house calibration solution KW - Isotope ratios KW - Isotope reference material KW - Measurement uncertainty KW - Scale conversion PY - 2022 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-557254 DO - https://doi.org/10.1111/ggr.12450 SN - 1639-4488 VL - 46 IS - 4 SP - 773 EP - 787 PB - Wiley AN - OPUS4-55725 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Vogl, Jochen A1 - Rosner, M. A1 - Kasemann, S. A. A1 - Kraft, R. A1 - Meixner, A. A1 - Noordmann, J. A1 - Rabb, S. A1 - Rienitz, O. A1 - Schuessler, J. A. A1 - Tatzel, Michael A1 - Vocke, R. D. T1 - Intercalibration of Mg isotope delta scales and realisation of SI traceability for Mg isotope amount ratios and isotope delta values JF - Geostandards and geoanalytical research N2 - The continuous improvement of analytical procedures using multi-collector technologies in ICP-mass spectrometry has led to an increased demand for isotope standards with improved homogeneity and reduced measurement uncertainty. For magnesium, this has led to a variety of available standards with different quality levels ranging from artefact standards to isotope reference materials certified for absolute isotope ratios. This required an intercalibration of all standards and reference materials, which we present in this interlaboratory comparison study. The materials Cambridge1, DSM3, ERMAE143, ERM-AE144, ERM-AE145, IRMM-009 and NIST SRM 980 were cross-calibrated with expanded measurement uncertainties (95% confidence level) of less than 0.030‰ for the δ25/24Mg values and less than 0.037‰ for the δ26/24Mg values. Thus, comparability of all magnesium isotope delta (δ) measurements based on these standards and reference materials is established. Further, ERM-AE143 anchors all magnesium δ-scales to absolute isotope ratios and therefore establishes SI traceability, here traceability to the SI base unit mole. This applies especially to the DSM3 scale, which is proposed to be maintained. With ERM-AE144 and ERM-AE145, which are product and educt of a sublimation-condensation process, for the first time a set of isotope reference materials is available with a published value for the apparent triple isotope fractionation exponent θapp, the fractionation relationship ln α(25/24Mg)/ln α(26/24Mg). KW - Delta scale KW - Traceability KW - Scale anchor KW - Absolute isotope ratio KW - Comparability KW - Triple isotope fractionation PY - 2020 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-511557 DO - https://doi.org/10.1111/ggr.12327 SN - 1751-908X VL - 44 IS - 3 SP - 439 EP - 457 PB - Wiley-Blackwell CY - Oxford AN - OPUS4-51155 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -