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In most chemical reactions, stable isotopes are fractionated in a mass-dependent manner, yielding correlated isotope ratios in elements with three or more stable isotopes. The proportionality between isotope ratios is set by the triple isotope fractionation exponent θ that can be determined precisely for, e.g., sulfur and oxygen by IRMS, but not for metal(loid) elements due to the lower precision of MC-ICP-MS analysis and smaller isotopic variations. Here, using Mg as a test case, we compute a complete metrologically robust uncertainty budget for apparent θ values and, with reference to this, present a new measurement Approach that reduces uncertainty on θ values by 30%. This approach, namely, direct educt-product bracketing (sample−sample bracketing), allows apparent θ values of metal(loid) isotopes to be determined precisely enough to distinguish slopes in three-isotope space. For the example of Mg, we assess appropriate quality Control standards for interference-to-signal ratios and Report apparent θ values of carbonate−seawater pairs. We determined apparent θ values for marine biogenic carbonates, where the foraminifera Globorotalia menardii yields 0.514 ± 0.005 (2 SD), the coral Porites, 0.515 ± 0.006 (2 SD), and two specimens of the giant clam Tridacna gigas, 0.508 ± 0.007 (2 SD) and 0.509 ± 0.006 (2 SD), documenting differences in the uptake pathway of Mg among marine calcifiers. The capability to measure apparent θ values more precisely adds a new dimension to metal(loid) δ values, with the potential to allow us to resolve different modes of fractionation in industrial and natural processes.
In chemical elements with three or more stable isotopes, mass-dependent stable isotope fractionation is expressed by co-varying isotope ratios. In the three-isotope space ((δ’m2/δ’m1)/(( δ’m3/δ’m1)) these plot along a line with a slope (β), the so called ‘terrestrial fractionation line’. This partitioning of stable isotopes results from both kinetic and equilibrium reactions that are characterized by specific β-values.
For the natural range of isotope ratios of ‘novel’ stable isotope systems such as Si, Mg, Fe, Zn, Cu this information cannot be accessed because samples fall close to the delta-zero standard where the current measurement precision is too low to resolve small differences in β. We present a new approach to resolve deviations from a reference slope β by standard-sample bracketing against material offset from the natural range. We use this approach to explore the isotope fractionation mechanism in the mammalian food web. We have analyzed Mg stable isotope ratios in bone bioapatite of herbivore, omnivore and carnivore mammals. Positive shifts in δ26/24Mg along the trophic chain (from herbivore to carnivore) together with β= 0.513 suggest the presence of two isotope fractionation mechanisms operating during biomineralization. While positive shifts in δ26/24Mg are in favor of equilibrium isotope fractionation process, the proximity of β to the theoretically calculated β(kinetic) of typically 0.511 suggests the presence of a second component that fractionates stable isotopes kinetically. The herein presented approach is applicable to any element with 3+ stable isotopes analyzed by multi-collector inductively coupled plasma mass spectrometry.
In chemical elements with three or more stable isotopes, mass-dependent stable isotope fractionation yields correlated isotope ratios, m2/m1 and m3/m1. In three-isotope space, i.e. in a δ’m2/δ’m1 vs. δ’m3/δ’m1 plot, data align along a slope θ, the so called ‘triple isotope fractionation exponent’ that scales the two isotope ratios. Theoretical calculations predict small differences in θ for kinetic- and equilibrium isotope fractionation (Young et al. 2002) and thus the precise measurement of θ allows constraining the reaction mechanism. However, due to an apparent lack of precision of stable isotope analysis by MC-ICP-MS, θ is merely used as analytical quality control, i.e. for demonstration that samples and standards plot within their analytical precision in the range of theoretical θ-values originating in δ-zero.
We show how θ can be determined precisely enough by MC-ICP-MS to distinguish kinetic- and equilibrium isotope fractionation, even when isotopic differences between samples are low. For low magnitudes of isotope fractionation, we exploit new, isotopically fractionated isotope standard materials (Vogl et al. 2016). We determine quality norms regarding interferences and measurement conditions to warrant trueness and to maximize precision. We exemplary explore the measurement of the three-isotope composition of Mg stable isotopes, budget the uncertainty of θ-values, and report the first θ-values of carbonate-water pairs and bioapatite. Our measurement approach adds a new dimension to isotope data beyond the δ-scale that has a high potential to reveal different modes of (bio)mineral precipitation in the sedimentary and biological record and thus to contribute solving conundrums in the Earth and Life Sciences.
Bulk enstatite chondrites (EC) and their achondritic counterpart, the aubrites, have the lightest measured Si isotope composition of all rocks in the solar system. Some authors proposed that the enrichment of 28Si in EC metal by equilibrium or kinetic isotope fractionation processes in the solar nebula may have led to the negative δ30/28Si of bulk EC. Because EC are also depleted in refractory elements, loss of a heavy Si component with refractory elements might be an alternative explanation. To further constrain their genesis, we analysed for the first time in situ Si-isotope ratios simultaneously with major- and trace element abundances in silicate and metal phases of Sahara 97072 (EH3) and Indarch (EH4).
Knowledge about feeding behavior is essential to determine trophic interactions and reconstruct predator-prey relationships in modern and past foodwebs. Traditionally, nitrogen isotopes (δ15N) of collagen are used to quantify the ingestion of animal protein, however collagen usually does not preserve over geological time scales. To infer the diet of extinct vertebrates from fossil material more resistant dietary proxies such as Ca and Mg isotopes are needed, which are major elements in the bioapatite of bones and teeth. Magnesium is a bio-essential element that replaces calcium in the bioapatite lattice and bone and enamel δ26Mg values of extant mammals increase systematically along the foodchain [1, 2].
The existing δ26Mg data, however, is scarce, in particular with respect to carnivores, thus still limiting the capability of this dietary proxy to reliably determine trophic differences between plant- and animal-feeders. To better constrain trophic-level effects recorded in Mg isotopes, we analyzed δ26Mg of bioapatite from modern mammals with a focus on faunivores, both carnivores and as yet unexplored insectivores.
The trophic level effect of δ26Mg is influenced by the geological substrate which causes isotope variability in δ26Mg of faunal remains between different ecosystems [1, 2]. Therefore, as first-order proxy for sample provenance and to assess potential influences of the bedrock substrate of the animals´ habitats on δ26Mg of bones and teeth, we measured the 87Sr/86Sr on the same specimens. This information will enable us to refine trophic level effects and determine whether δ26Mg can be used to distinguish different faunivores isotopically. This will be of paramount importance for dietary reconstructions of trophic niches in fossil foodwebs.
[1] Martin et al. (2014) Geochmica Cosmochimica Acta 130, 12-20. [2] Martin et al. (2015) Proceedings of the National Academy of Sciences 112, 430-435.