Crystal phases and glassy dynamics in monodisperse hard ellipsoids

We have performed Monte Carlo and molecular dynamics simulations of suspensions of monodisperse, hard ellipsoids of revolution. Hard-particle models play a key role in statistical mechanics. They are conceptually and computationally simple, and they offer insight into systems in which particle shape is important, including atomic, molecular, colloidal, and granular systems. In the high density phase diagram of prolate hard ellipsoids we have found a new crystal, which is more stable than the stretched FCC structure proposed previously . The new phase, SM2, has a simple monoclinic unit cell containing a basis of two ellipsoids with unequal orientations. The angle of inclination is very soft for length-to-width (aspect) ratio l/w=3, while the other angles are not. A symmetric state of the unit cell exists, related to the densest-known packings of ellipsoids; it is not always the stable one. Our results remove the stretched FCC structure for aspect ratio l/w=3 from the phase diagram of hard, uni-axial ellipsoids. We provide evidence that this holds between aspect ratios 3 and 6, and possibly beyond. Finally, ellipsoids in SM2 at l/w=1.55 exhibit end-over-end flipping, warranting studies of the cross-over to where this dynamics is not possible. Secondly, we studied the dynamics of nearly spherical ellipsoids. In equilibrium, they show a first-order transition from an isotropic phase to a rotator phase, where positions are crystalline but orientations are free. When over-compressing the isotropic phase into the rotator regime, we observed super-Arrhenius slowing down of diffusion and relaxation, and signatures of the cage effect. These features of glassy dynamics are sufficiently strong that asymptotic scaling laws of the Mode-Coupling Theory of the glass transition (MCT) could be tested, and were found to apply. We found strong coupling of positional and orientational degrees of freedom, leading to a common value for the MCT glass-transition volume fraction. Flipping modes were not slowed down significantly. We demonstrated that the results are independent of simulation method, as predicted by MCT. Further, we determined that even intra-cage motion is cooperative. We confirmed the presence of dynamical heterogeneities associated with the cage effect. The transit between cages was seen to occur on short time scales, compared to the time spent in cages; but the transit was shown not to involve displacements distinguishable in character from intra-cage motion. The presence of glassy dynamics was predicted by molecular MCT (MMCT). However, as MMCT disregards crystallization, a test by simulation was required. Glassy dynamics is unusual in monodisperse systems. Crystallization typically intervenes unless polydispersity, network-forming bonds or other asymmetries are introduced. We argue that particle anisometry acts as a sufficient source of disorder to prevent crystallization. This sheds new light on the question of which ingredients are required for glass formation.

Granulite facies metamorphism and partial melting processes in the Ivrea Zone, Northern Italy

The Ivrea Zone in northern Italy has been the focus of numerous petrological, geochemical and structural studies. It is commonly inferred to represent an almost complete section through the mid to lower continental crust, in which metamorphism and partial melting of the abundant metapelites was the result of magmatic underplating by a large volume of mantle-derived magma. This study concerns amphibolite and granulite facies metamorphism in the Ivrea Zone with focus on metapelites and metapsammites/metagreywackes from Val Strona di Omegna and metapelites from Val Sesia and Val Strona di Postua, with the aim to better constrain their metamorphic evolution as well as their pressure and temperature conditions via phase equilibria modelling.rnrnIn Val Strona di Omegna, the metapelites show a structural and mineralogical change from mica-schists with the common assemblage bi-mu-sill-pl-q-ilm ± liq at the lowest grades, through metatexitic migmatites (g-sill-bi-ksp-pl-q-ilm-liq) at intermediate grades, to complex diatexitic migmatites (g-sill-ru-bi-ksp-pl-q-ilm-liq) at the highest grades. Within this section several mappable isograds occur, including the first appearance of K-feldspar in the metapelites, the first appearance of orthopyroxene in the metabasites and the disappearance of prograde biotite from the metapelites. The inferred onset of partial melting in the metapelites occurs around Massiola. The prograde suprasolidus evolution of the metapelites is consistent with melting via the breakdown of first muscovite then biotite. Maximum modelled melt fractions of 30–40 % are predicted at the highest grade. The regional metamorphic field gradient in Val Strona di Omegna is constrained to range from conditions of 3.5–6.5 kbar at T = 650–730 °C to P > 9 kbar at T > 900 °C. The peak P–T estimates, particularly for granulite facies conditions, are significantly higher (around 100 °C) than those of most previous studies. In Val Sesia and Val Strona di Postua to the south the exposure is more restricted. P–T estimates for the metapelites are 750–850 °C and 5–6.5 kbar in Val Sesia and approximately 800–900 °C and 5.5–7 kbar in Val Strona di Postua. These results show similar temperatures but lower pressure than metapelites in Val Strona di Omegna. Metapelites in Val Sesia in contact with the Mafic Complex exhibit a metatexitic structure, while in Val Strona di Postua diatexitic structures occur. Further, metapelites at the contact with the Mafic Complex contain cordierite (± spinel) that overprint the regional metamorphic assemblages and are interpreted to have formed during contact metamorphism related to intrusion of the Mafic Complex. The lower pressures in the high-grade rocks in Val Sesia and Val Strona di Postua are consistent with some decompression from the regional metamorphic peak prior to the intrusion of the Mafic Complex, suggesting the rocks followed a clockwise P–T path. In contrast, the metapelites in Val Strona di Omegna, especially in the granulite facies, do not contain any cordierite or any evidence for a contact metamorphic overprint. The extrapolated granulite facies mineral isograds are cut by the rocks of the Mafic Complex to the south. Therefore, the Mafic Complex cannot have caused the regional metamorphism and it is unlikely that the Mafic Complex occurs in Val Strona di Omegna.

Forward modelling of petrological crust-forming processes on the early Earth

Tonalite-trondhjemite-granodiorite (TTG) gneisses form up to two-thirds of the preserved Archean continental crust and there is considerable debate regarding the primary magmatic processes of the generation of these rocks. The popular theories indicate that these rocks were formed by partial melting of basaltic oceanic crust which was previously metamorphosed to garnet-amphibolite and/or eclogite facies conditions either at the base of thick oceanic crust or by subduction processes.rnThis study investigates a new aspect regarding the source rock for Archean continental crust which is inferred to have had a bulk compostion richer in magnesium (picrite) than present-day basaltic oceanic crust. This difference is supposed to originate from a higher geothermal gradient in the early Archean which may have induced higher degrees of partial melting in the mantle, which resulted in a thicker and more magnesian oceanic crust. rnThe methods used to investigate the role of a more MgO-rich source rock in the formation of TTG-like melts in the context of this new approach are mineral equilibria calculations with the software THERMOCALC and high-pressure experiments conducted from 10–20 kbar and 900–1100 °C, both combined in a forward modelling approach. Initially, P–T pseudosections for natural rock compositions with increasing MgO contents were calculated in the system NCFMASHTO (Na2O–CaO–FeO–MgO–Al2O3–SiO2–H2O–TiO2) to ascertain the metamorphic products from rocks with increasing MgO contents from a MORB up to a komatiite. A small number of previous experiments on komatiites showed the development of pyroxenite instead of eclogite and garnet-amphibolite during metamorphism and established that melts of these pyroxenites are of basaltic composition, thus again building oceanic crust instead of continental crust.rnThe P–T pseudosections calculated represent a continuous development of their metamorphic products from amphibolites and eclogites towards pyroxenites. On the basis of these calculations and the changes within the range of compositions, three picritic Models of Archean Oceanic Crust (MAOC) were established with different MgO contents (11, 13 and 15 wt%) ranging between basalt and komatiite. The thermodynamic modelling for MAOC 11, 13 and 15 at supersolidus conditions is imprecise since no appropriate melt model for metabasic rocks is currently available and the melt model for metapelitic rocks resulted in unsatisfactory calculations. The partially molten region is therfore covered by high-pressure experiments. The results of the experiments show a transition from predominantly tonalitic melts in MAOC 11 to basaltic melts in MAOC 15 and a solidus moving towards higher temperatures with increasing magnesium in the bulk composition. Tonalitic melts were generated in MAOC 11 and 13 at pressures up to 12.5 kbar in the presence of garnet, clinopyroxene, plagioclase plus/minus quartz (plus/minus orthopyroxene in the presence of quartz and at lower pressures) in the absence of amphibole but it could not be explicitly indicated whether the tonalitic melts coexisting with an eclogitic residue and rutile at 20 kbar do belong to the Archean TTG suite. Basaltic melts were generated predominantly in the presence of granulite facies residues such as amphibole plus/minus garnet, plagioclase, orthopyroxene that lack quartz in all MAOC compositions at pressures up to 15 kbar. rnThe tonalitic melts generated in MAOC 11 and 13 indicate that thicker oceanic crust with more magnesium than that of a modern basalt is also a viable source for the generation of TTG-like melts and therefore continental crust in the Archean. The experimental results are related to different geologic settings as a function of pressure. The favoured setting for the generation of early TTG-like melts at 15 kbar is the base of an oceanic crust thicker than existing today or by melting of slabs in shallow subduction zones, both without interaction of tonalic melts with the mantle. Tonalitic melts at 20 kbar may have been generated below the plagioclase stability by slab melting in deeper subduction zones that have developed with time during the progressive cooling of the Earth, but it is unlikely that those melts reached lower pressure levels without further mantle interaction.rn

Nonclassical crystallization of bivalent metal carbonates

Nichtklassische Kristallisationen tragen heutzutage einen entscheidenden Anteil zum Verständnis von Biomineralisationsprozessen und anspruchsvoller Morphogenese in vitro bei. Die vorliegende Dissertation stellt drei neue Vertreter nichtklassischer Kristallisationen vor, die während der Fällung von Calciumcarbonat und verwandten zweiwertigen Carbonaten auftreten.rn(a) Zum ersten Male wird eine Symmetrie-brechende Phasenselektion von Calciumcarbonat beschrieben, die auf einem subtilen Wechselspiel von verketteten Gleichgewichten basiert und deren Ursache letztendlich der paritätsverletzenden Energiedifferenz (PVED) zugeschrieben wird. rn(b) Die interkristalline Minoritätskomponente eines Mesokristalles, seien es z.B. eingeschlossenes Proteine oder polymere Additive, erfahren eine Morphogenese im Sinne einer Formpressung. Dieser bislang wenig beachtete Effekt in Mesokristallen wurde zur Herstellung von Nanoröhren eingesetzt, die aus verschiedensten Materialien bestehen können (z.B. Calciumcarbonat oder Cadmiumsulfid).rn(c) Das Hauptaugenmerk dieser Dissertation liegt auf dem Auftreten eines flüssig-amorphen Intermediates während der Metallcarbonat-Präzipitation. Durch diffusionskontrollierte und kontaktfreie Versuchsführung konnte die Existenz eines solchen nichtklassischen, flüssigen Intermediates, welches der kristallinen Phase bei neutralen pH vorangeht, sicher nachgewiesen werden. rn