Quantifying garnet-melt trace element partitioning using lattice-strain theory: assessment of statistically significant controls and a new predictive model     

David S. Draper  Wim van Westrenen 《Contributions to Mineralogy and Petrology》2007,154(6):731-746

As a complement to our efforts to update and revise the thermodynamic basis for predicting garnet-melt trace element partitioning using lattice-strain theory (van Westrenen and Draper in Contrib Mineral Petrol, this issue), we have performed detailed statistical evaluations of possible correlations between intensive and extensive variables and experimentally determined garnet-melt partitioning values for trivalent cations (rare earth elements, Y, and Sc) entering the dodecahedral garnet X-site. We applied these evaluations to a database containing over 300 partition coefficient determinations, compiled both from literature values and from our own work designed in part to expand that database. Available data include partitioning measurements in ultramafic to basaltic to intermediate bulk compositions, and recent studies in Fe-rich systems relevant to extraterrestrial petrogenesis, at pressures sufficiently high such that a significant component of majorite, the high-pressure form of garnet, is present. Through the application of lattice-strain theory, we obtained best-fit values for the ideal ionic radius of the dodecahedral garnet X-site, r ₀(3+), its apparent Young’s modulus E(3+), and the strain-free partition coefficient D ₀(3+) for a fictive REE element J of ionic radius r ₀(3+). Resulting values of E, D ₀, and r ₀ were used in multiple linear regressions involving sixteen variables that reflect the possible influence of garnet composition and stoichiometry, melt composition and structure, major-element partitioning, pressure, and temperature. We find no statistically significant correlations between fitted r ₀ and E values and any combination of variables. However, a highly robust correlation between fitted D ₀ and garnet-melt Fe–Mg exchange and D _Mg is identified. The identification of more explicit melt-compositional influence is a first for this type of predictive modeling. We combine this statistically-derived expression for predicting D ₀ with the new expressions for predicting E and r ₀ outlined in the first of our pair of companion papers into an updated set of formulae that use easy-to-measure quantities (e.g. garnet composition, pressure, temperature) to predict variations in E, r ₀, and D ₀. These values are used in turn to calculate D values for those garnets. The updated model substantially improves upon a previous model (van Westrenen et al. in Contrib Mineral Petrol 142:219–234, 2001), and accounts well for trivalent cation partitioning in nominally anhydrous systems up to at least 15 GPa, including for eclogitic bulk compositions and for Fe-rich systems appropriate to magmagenesis on the Moon and Mars. The new model is slightly less successful in predicting partitioning with strongly majoritic garnets, although the mismatch is much less than with the original 2001 model. Although it also improves upon the 2001 model in predicting partitioning in hydrous systems, the mismatch between model and observation is still unacceptably large. The same statistical tools were applied in an attempt to predict tetravalent partitioning as well, because lattice-strain based techniques are not applicable to such partitioning. However, no statistically significant predictive relationships emerged from that effort. Our analyses show that future efforts should focus on filling the gap in partitioning data between ∼10 and 25 GPa to evaluate more closely the gradual transition of garnet to majorite, and on systematically expanding the hydrous partitioning database to allow extension of our model to water-bearing systems.  相似文献   

Quantifying garnet-melt trace element partitioning using lattice-strain theory: new crystal-chemical and thermodynamic constraints   总被引：1，自引：0，他引：1  

Wim van Westrenen  David S. Draper 《Contributions to Mineralogy and Petrology》2007,154(6):717-730

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The Energy Balance Experiment EBEX-2000. Part I: overview and energy balance   总被引：2，自引：1，他引：2  

Steven P. Oncley  Thomas Foken  Roland Vogt  Wim Kohsiek  H. A. R. DeBruin  Christian Bernhofer  Andreas Christen  Eva van Gorsel  David Grantz  Christian Feigenwinter  Irene Lehner  Claudia Liebethal  Heping Liu  Matthias Mauder  Andrea Pitacco  Luis Ribeiro  Tamas Weidinger 《Boundary-Layer Meteorology》2007,123(1):1-28

An overview of the Energy Balance Experiment (EBEX-2000) is given. This experiment studied the ability of state-of-the-art measurements to close the surface energy balance over a surface (a vegetative canopy with large evapotranspiration) where closure has been difficult to obtain. A flood-irrigated cotton field over uniform terrain was used, though aerial imagery and direct flux measurements showed that the surface still was inhomogeneous. All major terms of the surface energy balance were measured at nine sites to characterize the spatial variability across the field. Included in these observations was an estimate of heat storage in the plant canopy. The resultant imbalance still was 10%, which exceeds the estimated measurement error. We speculate that horizontal advection in the layer between the canopy top and our flux measurement height may cause this imbalance, though our estimates of this term using our measurements resulted in values less than what would be required to balance the budget. The National Center for Atmospheric Research is supported by the National Science Foundation  相似文献   

Baseline study of perfluorooctane sulfonate occurrence in mussels, Mytilus galloprovincialis, from north-central Portuguese estuaries     

Cunha I  Hoff P  Van de Vijver K  Guilhermino L  Esmans E  De Coen W 《Marine pollution bulletin》2005,50(10):1128-1132

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Über Verbreitung und Ökologie von Sphaeriiden im Zürichsee (Mollusca: Eulamellibranchiata)     

Jakob E. Walter  J. G. J. Kuiper 《Aquatic Sciences - Research Across Boundaries》1978,40(1):60-86

At eight different areas on the shores of the lower part of Lake Zürich sphaeriids were collected at depths of 3, 6, 9, 12 and 15 m. 368 samples, each 1/16 m² in size, contained 19,780 individuals, which belong to 14 species. The following points were examined: depth distributions of the species, associations between different species and the dependence of their abundance on environmental factors. Over the period of one year fish were kept away from test-sites in order to estimate their influence on the sphaeriid fauna.  相似文献   

Detailed comparison of type III radio bursts with Hα activity     

T. B. H. Kuiper 《Solar physics》1973,33(2):461-474

Isolated type III radio burst activity was observed at Clark Lake Radio Observatory in March and the first part of April, 1971, to occur in discrete regions of the corona above certain active regions. When these regions were examined under high resolution in H all the type III events appeared to have associated activity in H. The potential coronal magnetic field in these regions appeared to be either open or diverging, whereas the field over a rather active region which did not have radio burst activity was closed in a magnetic arcade. The latter feature has been associated with streamers. Streamers have also been associated with dark filaments. The occurrence of a stable dark filament in an active region appeared to have an inhibiting effect on type III activity. It is suggested that a streamer field configuration is not favorable to the escape of isolated type III exciters.  相似文献   

Computations on the interaction of an interplanetary shock with the Earth's magnetosphere     

Imke de Pater  Wim J. Weber 《Astrophysics and Space Science》1977,51(1):217-224

We present the results of a one-dimensional computer simulation of the interaction between interplanetary shocks and the Earth's magnetosphere. The position of the bowshock as a function of solar wind velocity and interplanetary field direction is studied.  相似文献   

Effects of arrival time errors on traveltime tomography     

Axel H.E. Röhm  Harmen Bijwaard  Wim Spakman  & Jeannot Trampert 《Geophysical Journal International》2000,142(1):270-276

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Isotope mixing models require individual isotopic tracer content for correct quantification of sediment source contributions          下载免费PDF全文

Hari Ram Upadhayay  Samuel Bodé  Marco Griepentrog  Roshan Man Bajracharya  William Blake  Wim Cornelis  Pascal Boeckx 《水文研究》2018,32(7):981-989

The use of isotopic tracers for sediment source apportionment is gaining interest with recent introduction of compound‐specific stable isotope tracers. The method relies on linear mixing of source isotopic tracers, and deconvolution of a sediment mixture initially quantifies the contribution of sources to the mixture's tracer signature. Therefore, a correction to obtain real sediment source proportions is subsequently required. As far as we are aware, all published studies to date have used total isotopic tracer content or a proxy (e.g., soil carbon content) for this post‐unmixing correction. However, as the relationship between the isotopic tracer mixture and the source mixture is different for each isotopic tracer, post‐unmixing corrections cannot be carried out with one single factor. This contribution presents an isotopic tracer model structure—the concentration‐dependent isotope mixing model (CD‐IMM)—to overcome this limitation. Herein, we aim to clarify why the “conventional” approach to converting isotopic tracer proportions to source proportions using a single factor is wrong. In an initial mathematical assessment, error incurred by not using CD‐IMM (NCD‐IMM) in unmixing two sources with two isotopic tracers showed a complex relation as a function of relative tracer contents. Next, three artificial mixtures with different proportions of three soil sources were prepared and deconvoluted using ¹³C of fatty acids using CD‐IMM and NCD‐IMM. Using NCD‐IMM affected both accuracy (mean average error increased up to a threefold compared with the CD‐IMM output) and precision (interquartile range was up to 2.5 times larger). Finally, as an illustrative example, the proportional source contribution reported in a published study was recalculated using CD‐IMM. This resulted in changes in estimated source proportions and associated uncertainties. Content of isotopic tracers is seldom reported in published work concerning use of isotopic tracers for sediment source partitioning. The magnitude of errors made by miscalculation in former studies is therefore difficult to assess. With this contribution, we hope the community will acknowledge the limitations of prior approaches and use a CD‐IMM in future studies.  相似文献   

LavAtmos: An open-source chemical equilibrium vaporization code for lava worlds     

Christiaan P. A. van Buchem  Yamila Miguel  Mantas Zilinskas  Wim van Westrenen 《Meteoritics & planetary science》2023,58(8):1149-1161

To date, over 500 short-period rocky planets with equilibrium temperatures above 1500 K have been discovered. Such planets are expected to support magma oceans, providing a direct interface between the interior and the atmosphere. This provides a unique opportunity to gain insight into their interior compositions through atmospheric observations. A key process in doing such work is the vapor outgassing from the lava surface. LavAtmos is an open-source code that calculates the equilibrium chemical composition of vapor above a dry melt for a given composition and temperature. Results show that the produced output is in good agreement with the partial pressures obtained from experimental laboratory data as well as with other similar codes from literature. LavAtmos allows for the modeling of vaporization of a wide range of different mantle compositions of hot rocky exoplanets. In combination with atmospheric chemistry codes, this enables the characterization of interior compositions through atmospheric signatures.  相似文献