Grain boundary and volume diffusion experiments in yttrium aluminium garnet bicrystals at 1,723 K: a miniaturized study

Yb-Y inter-diffusion along a single grain boundary of a synthetic yttrium aluminium garnet (YAG) bicrystal has been studied using analytical transmission electron microscopy (ATEM). To investigate the diffusion, a thin-film containing Yb as the diffusant was deposited perpendicular to the bicrystal grain boundary by pulsed laser deposition (PLD). Structural properties and their change with time in both the diffusant source and the grain boundary are reported. The diffusion profiles are incorporated in a numerical diffusion model, which is applied to determine the grain boundary diffusion coefficient, D _gb , at 1.723 K it is equal to 3 × 10⁻¹⁵ m²/s. We find that grain boundary diffusion is 4.85 orders of magnitude faster than volume diffusion, which was determined from the same diffusion experiment. This result is discussed in the context of special versus general grain boundaries. Finally, we successfully tested the capability of synchrotron-based nano-X-ray fluorescence analysis to map micro-chemical patterns in two dimensions with sub-micrometre resolution.     

Synthesis of monticellite–forsterite and merwinite–forsterite symplectites in the CaO–MgO–SiO<Subscript>2</Subscript> model system: influence of temperature and water content on microstructure evolution

Homogeneous single crystals of synthetic monticellite with the composition \({\text{Ca}}_{0.88}{\text{Mg}}_{1.12}{\text{SiO}}_4\) (Mtc I) were annealed in a piston-cylinder apparatus at temperatures between 1000 and \(1200\,^{\circ }\hbox {C}\), pressures of 1.0–1.4 GPa, for run durations from 10 min to 24 h and applying bulk water contents ranging from 0.0 to 0.5 wt% of the total charge. At these conditions, Mtc I breaks down to a fine-grained, symplectic intergrowth. Thereby, two types of symplectites are produced: a first symplectite type (Sy I) is represented by an aggregate of rod-shaped forsterite immersed in a matrix of monticellite with end-member composition (Mtc II), and a second symplectite type (Sy II) takes the form of a lamellar merwinite–forsterite intergrowth. Both symplectites may form simultaneously, where the formation of Sy I is favoured by the presence of water. Sy I is metastable with respect to Sy II and is successively replaced by the latter. For both symplectite types, the characteristic spacing of the symplectite phases is independent of run duration and is only weeakly influenced by the water content, but it is strongly temperature dependent. It varies from about 400 nm at \(1000\,^{\circ }\hbox {C}\) to 1200 nm at \(1100\,^{\circ }\hbox {C}\) in Sy I, and from 300 nm at \(1000\,^{\circ }\hbox {C}\) to 700 nm at \(1200\,^{\circ }\hbox {C}\) in Sy II. A thermodynamic analysis reveals that the temperature dependence of the characteristic spacing of the symplectite phases is due to a relatively high activation energy for chemical segregation by diffusion within the reaction front as compared to the activation energy for interface reactions at the reaction front. The temperature dependence of the characteristic lamellar spacing and the temperature-time dependence of overall reaction progress have potential for applications in geo-thermometry and geo-speedometry.     

Sedimentpetrographische und mineralogische Untersuchungen an glaukonitführenden Kreidegesteinen Bayerns

Zusammenfassung Der Lösungsrückstand glaukonitführender Gesteine des bayerischen Helvetikums und der Regensburger Oberkreide enthÄlt Glaukonit der 1-M-Glimmermodifikation in den Glaukonitkörnern und in der Feintonfraktion < 2 Ø. Die einige zehntel- gro\en Glaukonitglimmer sind in den helvetischen Gesteinen als unregelmÄ\ig oder hexagonal begrenzte BlÄttchen ausgebildet, in den OberpfÄlzer Gesteinen als unregelmÄ\ig begrenzte oder leistenförmige Kristallite. Bei den helvetischen Gesteinen ist der Glaukonitglimmer in den Körnern und in der Feintonfraktion mit Chlorit (± Montmorillonit), in den oberpfÄlzischen Gesteinen dagegen mit Montmorillonit vergesellschaftet. Die Assoziation Glaukonit/Chlorit oder Glaukonit/Montmorillonit dürfte durch unterschiedliche marine Fazies bedingt sein. Es fehlt eine Korrelation zwischen dem diagenetisch gebildeten Dolomit und dem Chloritgehalt der Gesteine. Die Morphologie der Glaukonitkörner in allen helvetischen Gesteinen und im Regensburger Grünsandstein deutet auf eine authigene Bildung der Körner, dagegen sind im turonen Regensburger Glaukonitmergel die Körner abgerollt.

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The residue of glauconite-bearing rocks from the Bavarian Helvetic zone and the Upper Cretaceous of Regensburg contains glauconitic mica of the 1 M mica-type in the glauconite pellets as well as in the clay fraction < 2 Ø. The glauconite mica of the helvetic rocks are developed as irregular or hexagonaly shaped flakes, those from the rocks of the Upper Palatinate are irregular or form ledges. In the helvetic rocks the glauconitic mica of the fraction < 2 is associated with chlorite (± montmorillonite), in the rocks of the Upper Palatinate on the contrary only montmorillonite could be detected besides glauconitic mica. The association glauconite/chlorite or glauconite/ montmorillonite may be caused by differing marine facia. There is no correlation between dolomite formed by diagenesis and content of chlorite in the rocks. The morphology of the glauconite pellets in all Helvetic rocks and in the Grünsand from Regensburg indicates an authigenic formation of the pellets, whereas the pellets of the Turonic glauconitic marl from Regensburg are rounded by transport.

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Résumé Le résidu de dissolution des roches glauconieuses provenant de l'Helvétien bavarois et du Crétacé supérieur de Ratisbonne contient des micas glauconieux de la modification micacée 1 M dans les grains de glaucome et dans la fraction < 2 Ø. Les micas glauconieux de quelques dizaines de des roches de l'Helvétien ont des contours irréguliers ou des silhouettes hexagonales, tandis que les roches glauconieuses du Haut Palatinat ont des micas irréguliers ou montrent des agrégats de mica de forme plus allongée. Dans les roches helvétiques, le mica glauconieux est associé dans les grains de glauconie et dans la fraction < 2 Ø avec de la chlorite (± montmorillonite); dans les roches du Haut Palatinat au contraire, il est associé avec de la montmorillonite. L'association glauconite/chlorite ou glauconita/montmorillonite semble Être due à des différences de faciés marin. Il n'existe pas de corrélation entre la dolomie d'origine diagénétique et la teneur en chlorite des roches. La morphologie des grains de glauconie dans les roches helvétiques et dans les grès verts de Ratisbonne démontre une formation authigène des grains; par contre les grains des marnes à glauconie turoniennes de Ratisbonne sont arrondis.

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Der Deutschen Forschungsgemeinschaft danken wir für die Unterstützung der Arbeit durch eine Sachbeihilfe. Herrn Dr. W.Schmitt vom Institut für Technische Chemie der TU München verdanken wir die Erlaubnis zur Benutzung des Elektronenmikroskopes. Die Herren Dr. J.Kröger, Dr. M.Freimoser und Dr. A.Buchner stellten uns dankenswerterweise Probenmaterial zur Verfügung.     

Generalized ‘dependencies’ and parameter variance

The autodependence, (a special case of the — now quite obsolete — dependences, which had been introduced for very specialized astrometric purposes) is proportional to the parameter variance which is the expectation of the variance of the systematic error of a function evaluated with estimated parameters.     

Bemerkungen zu W. Dammann „Untersuchung über Schwankungen der Winterniederschläge in Deutschland”

Zusammenfassung An der Methode wird die physikalische Unwirklichkeit der Zusammenfassung der Monate Januar, Februar, März und November und Dezember des gleichen Kalenderjahres als Winter und die Unterdrückung wesentlicher Zusammenhänge mit dem Sonnenfleckenzyklus durch Bildung übergreifender Fünfjahresmittel bemängelt. Hinsichtlich des Ergebnisses wird die behauptete Ähnlichkeit der erhaltenen Kurven mit der Sonnenfleckenwelle widerlegt.

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Summary It is shown that the practice to define the months of January, February, March and November, December of the same calendar year as winter is not justifiable, from a physical point of view. By using running 5-yearly means important relations to the cycle of sun-spots are suppressed. A proposed similarity of the curves obtained byDammann with the solar cycle is disproved.

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Résumé L'auteur montre que l'hiver défini par la période de janvier à mars et de novembre à decembre de la même année est une irréalité physique et que l'emploi de la moyenne mobile de cinq ans masque le cycle des taches solaires; les courbes obtenues parDammann ne correspondent pas rythme des taches.

     

Analytical Solution for Testing Debris Avalanche Numerical Models

—We present here the analytical solution of a one-dimensional dam-break problem over inclined planes. This solution is used to test a numerical model developed for debris avalanches. We consider a dam with infinite length in one direction where material is released from rest at the initial instant. We solve analytically and numerically the depth-averaged long-wave equations derived in a topography-linked coordinate system. The numerical and analytical solutions provide for a Coulomb-type friction law at the base of the flow. The analytical solution is obtained by using the method of characteristics and describes the flow over a constant slope, provided that the angle is higher than the friction angle. The numerical model utilizes a finite-difference method based on a Godunov-type scheme. Comparison between analytical and numerical results illustrates the remarkable stability and precision of the numerical method as well as its ability to deal with strong discontinuities.