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 - CONF A1 - Brauckmann, C. A1 - Pramann, A. A1 - Rienitz, O. A1 - Schulze, A. A1 - Phukphatthanachai, P. A1 - Vogl, Jochen T1 - Combining Isotope Dilution and Standard Addition - Elemental Analysis in Complex Samples N2 - A new method combining isotope dilution mass spectrometry (IDMS) and standard addition has been developed to determine the mass fractions w of different elements in complex matrices: (a) silicon in aqueous tetramethylammonium hydroxide (TMAH), (b) sulfur in biodiesel fuel, and (c) iron bound to transferrin in human serum. All measurements were carried out using inductively coupled plasma mass spectrometry (ICP–MS). The method requires the gravimetric preparation of several blends (bi)—each consisting of roughly the same masses (mx,i) of the sample solution (x) and my,i of a spike solution (y) plus different masses (mz,i) of a reference solution (z). Only these masses and the isotope ratios (Rb,i) in the blends and reference and spike solutions have to be measured. The derivation of the underlying equations based on linear regression is presented and compared to a related concept reported by Pagliano and Meija. The uncertainties achievable, e.g., in the case of the Si blank in extremely pure TMAH of urel (w(Si)) = 90% (linear regression method, this work) and urel (w(Si)) = 150% (the method reported by Pagliano and Meija) seem to suggest better applicability of the new method in practical use due to the higher robustness of regression analysis. T2 - CITAC Best Paper Award Ceremony CY - Online meeting DA - 21.06.2022 KW - Isotope dilution mass spectrometry KW - Standard addition KW - ICP-MS KW - Blank characterization KW - Silicon KW - Sulfur KW - Transferrin KW - Tetramethylammonium hydroxide KW - Biodiesel fuel KW - Human serum PY - 2022 AN - OPUS4-55032 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -