Hairdressing shish-kebabs; comprehensive survey and theoretical discussion of overgrowth crystallization

The platelet component of shish-kebabs crystallizes after the core, during cooling or storage below the formation temperature of the core. Three basic platelet morphologies were previously identified which were mutually interconvertible, a process we have termed “hairdressing”. In this paper we show that these three categories are special cases of a continuous range of overgrowth spacings. Crystallization at high temperatures gives widely spaced overgrowths and, as the crystallization temperature is reduced, so the overgrowth spacing decreases gradually. In the extreme case (only obtainable by quenching) the overgrowths become so close as to overlap and appear continuous. We also report a variety of further effects which were caused by exposing the shish-kebabs, while in solvent, to temperatures above their initial formation temperature. A new theoretical approach is described which considers the depletion of material available to form new overgrowths during crystallization. Two versions of this theory are presented (one a computer simulation and one analytic); interpreting our results on the basis of this theory we show that shish-kebabs crystallize at high temperatures even when quenched (90°C and above except in a few exceptional circumstances) and we are able to explain all the features of shish-kebab crystallization that we have observed.     

The system K2SO4-K2S

A new experimental technique has been developed to determine the phase equilibrium diagram for the system K₂SO₄-K₂S.The technique involves isothermal thermogravimetry of potassium sulphate during reduction to potassium sulphide at elevated temperatures in a stream of dry oxygen-free hydrogen gas. Several abrupt changes in the rate of weight loss occur in each curve and these can be related to phase changes in the phase diagram for the system.On the basis of such results the liquidus and solidus (solid solution) boundaries can be located.Simple thermal analysis is used to confirm the eutectic temperature and various liquidus temperatures.The diagram K₂SO₄-K₂S is a simple eutectic system with the eutectic at 610 and 23 mole % K₂S. The limits of solid solubility of K₂S in K₂SO₄ and K₂SO₄ in K₂S at the eutectic temperature are 11 % and 36 mole% respectively.The odd shape of the liquidus curves on each side of the eutectic suggests the possibility of phase changes in both K₂SO₄ and K₂S solid solutions. No evidence for this was obtained from thermal analysis.

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Zusammenfassung Eine neue experimentelle Technik wurde zur Bestimmung des Phasengleichgewichtsdiagramms des Systems K₂SO₄-K₂S entwickelt.Die Technik umfasst die isotherme Gravimetrie von Kaliumsulfat wÄhrend der Reduktion zu Kaliumsulfid bei erhöhten Temperaturen in strömenden trockenen und Sauerstoff-freien Wasserstoff. Verschiedene plötzliche Änderungen der Geschwindigkeit des Gewichtsverlustes treten bei jeder Kurve auf und können mit den PhasenÄnderungen im Phasendiagramm des Systems in Zusammenhang gebracht werden.Durch diese Ergebnisse können die GrenzflÄchen der flüssigen und der Festphasenlösung festgestellt werden.Die einfache Thermoanalyse wird zur BestÄtigung der eutektischen Temperatur und verschiedener Liquidus-Temperaturen herangezogen.Das Diagramm K₂SO₄-K₂S ist ein einfaches eutektisches System mit dem Eutektikum bei 610 und 23 Mol % K₂S. Die Grenzwerte einer festen Lösung von K₂S in K₂SO₄ und K₂SO₄ in K₂S betragen bei der eutektischen Temperatur 11% bzw. 36 Mol %.Die aussergewöhnliche Form der Liquidus-Kurven zu beiden Seiten des Eutektikums lÄsst auf die Möglichkeit von PhasenÄnderungen in den Festlösungen von sowohl K₂SO₄ wie auch von K₂S schliessen Hierzu ergab jedoch die Thermoanalyse keine BestÄtigung.

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Résumé Une nouvelle technique expérimentale a été développée afin de déterminer le diagramme d'équilibre des phases dans le système K₂SO₄-K₂S.La technique fait appel à la thermogravimétrie isotherme du sulfate de potassium lors de sa réduction en sulfure de potassium à températures élevées dans un courant de gaz hydrogène sec exempt d'oxygène. Plusieurs changements abrupts de vitesse de perte de poids ont lieu sur chaque courbe et ces changements peuvent Être rapportés aux changements de phases dans le diagramme de phases du système.A partir de tels résultats on peut déterminer les limites du liquidus et du solidus (solution solide).L'analyse thermique simple a été utilisée pour confirmer la température eutectique etdiverses températures du liquidus.Le diagramme K₂SO₄-K₂S forme un système eutectique simple à 610 et 23 p.c. molaires de K₂S. Les limites de la solubilité en phase solide de K₂S dans K₂SO₄ et de K₂SO₄ dans K₂S sont, à la température eutectique, respectivement de 11 et 36 mol %.La forme particulière des courbes du liquidus de chaque cÔté de l'eutectique fait penser à la possibilité de changements de phases dans les solutions solides tant de K₂SO₄ que de K₂S, mais l'analyse thermique n'en a pas donné de preuve.

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K₂SO₄-K₂S . , . , . ( ). . K₂SO₄-K₂S 610 23% K₂S. K₂S K₂SO₄ K₂SO₄ K₂S , , 11 36 . K₂SO₄ K₂S . , .

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The authors would like to thank the National Research Council of Canada for their financial support.     

Gelation and the production of surface grown polyethylene fibres

Summary In the course of examining the limiting conditions for growth of polyethylene fibres by the surface growth method (1, 2) an unexpected gelation effect was observed. Accordingly a solution, after having been stirred at such elevated temperatures where no visible crystallization can take place, is found to set as a gel after cooling under quiescent conditions. It is established that the ability to form this gel is a necessary condition for fibre production byPennings andZwijnenburg's surface growth method which by the new findings essentially should consist of the stretching of such gels. We verified that material indeed accumulates at the surface of the rotor used in the surface growth method as was originally envisaged, but we now infer that this material consists of gel particles formed during the preceding treatments. This adhesion of the gel to a rotating surface enables it to be readily stretched by an externally introduced fibre as done in the surface growth method. The gel precursor is of interest in its own right. We find that it is a transient structure but with long, up to several hours, persistence time during which the solution `remembers' that it has been stirred. The structure itself is presumably an incipient network forming crystallization induced by localised chain stretching, where the crystal junctions are likely to provide the nuclei for the more permanent fibrous crystals which arise on cooling causing the gel to set. Electron microscopy indeed identified smooth fibres in the gel which could develop into shish-kebabs on appropriate treatment, while the bulk of the gel consists of large single crystal platelets which arise within the network on final cooling to room temperature. Finally we suggest, that many, if not all, shishkebab structures conventionally observed on stirring arise by the stretching of the gel network formed at a preceding stage of the preparation procedure.     

Unexpectedly high young's moduli recorded for iPP/HDPE blends

Young's moduli of a series of quenched isotactic polypropylene/high‐density polyethylene blends were measured. The moduli of many of the blends exceeded the upper bound, calculated from the parallel model with the moduli of the two quenched homopolymers as those of the two components. In fact, both components crystallized at higher temperatures in the blends than they did on their own. It is argued that the higher crystallization temperatures of the components lead to higher component moduli and that this can explain the observation that the measured moduli of the blends apparently exceeded the upper bound. The implications of this work are discussed in light of other studies concerning the measurement and calculation of blend moduli. © 2001 John Wiley & Sons, Inc. J Polym Sci B Part B: Polym Phys 39: 1404–1414, 2001     

The relationship between microstructure and mode of fracture in polyhydroxybutyrate

Polyhydroxybutyrate (PHB) is a bacterially produced thermoplastic. Melt-cast PHB sheets are usually quite brittle. We show that this brittleness is due to cracks within the spherulites. These cracks, which may be either radial or circumferential within the spherulites, depending on the crystallization temperature, form under conditions of no externally applied stress. When the material is strained the cracks grow and join together, leading to brittle failure. It is possible to produce ductile PHB sheets in two ways: first, the cracks may be “healed” by a cold rolling process; second, special crystallization conditions can be used to produce ductile sheets consisting entirely of crack-free spherulites. The relevance of this work to the ductility of crystalline thermoplastic in general is discussed.     

Development of the large increment method for elastic perfectly plastic analysis of plane frame structures under monotonic loading

The displacement-based finite element method dominates current practice for material nonlinear analysis of structures. However, there are several characteristics that may limit the effectiveness of this approach. In particular, for elastoplastic analysis, the displacement method relies upon a step-by-step incremental approach stemming from flow theory and also requires significant mesh refinement to resolve behavior in plastic zones. This leads to computational inefficiencies that, in turn, encourage the reconsideration of force-based approaches for elastoplastic problems.One of these force algorithms that has been recently developed is the large increment method. The main advantage of the flexibility-based large increment method (LIM) over the displacement method is that it separates the global equilibrium and compatibility equations from the local constitutive relations. Consequently, LIM can reach the solution in one large increment or in a few large steps, thus, avoiding the development of cumulative errors. This paper discusses the extension of the large increment methodology for the nonlinear analysis of plane frame structures controlled by an elastic, perfectly plastic material model. The discussion focuses on the power of LIM to handle these nonlinear problems, especially when plastic hinges form in the frame and ultimately as the structure approaches the collapse stage. Illustrative planar frame examples are presented and the results are compared with those obtained from a standard displacement method.     

DYNGA: a general purpose QM-MM-MD program. I. Application to water

We present a general purpose QM-MM-MD engine (DYNGA) designed to test alternative hybrid Hamiltonians geared towards the treatment of problems of interest in structural biology including the use of experimental data constraints. In this first presentation we use DYNGA to explore the behaviour of a traditional QM-MM approach in the treatment of the water—water interaction. We find the potential energy hypersurface for the water dimer computed with the HF 4–31G*/TIP3P hybrid Hamiltonian tends to be too flat. We also explore the effect of using traditional QM-MM techniques on proton wires and conclude there is a need for improvement, possibly addressed by using polarizable force fields.     

Sol-gel preparation and properties of interpenetrating, encapsulating and blend silica-based urea-formaldehyde hybrid composite materials

Four different silica-based urea-formaldehyde (UF/SiO₂) composite materials were prepared by various sol-gel synthetic procedures to yield an interpenetrating (IPN-UF/SiO₂), a micro-size UF resin encapsulated inside silica shell (Encap-UF/SiO₂), a micro-size silica encapsulated inside UF shell (Encap-SiO₂/UF), and a blend mixture (Blend-UF/SiO₂) hybrid systems. The thermal properties of the obtained organic-inorganic hybrid composite materials were examined by thermogravimetric analysis (TGA) and differential scanning calorimetry (DSC). The structure and morphology of the obtained systems were investigated by infrared spectroscopy (FT-IR), powder X-ray diffraction (XRD) and scanning electron microscopy (SEM) techniques. Their surface porosity and acidity were evaluated from the nitrogen adsorption isotherm and the pH of the corresponding 10% aqueous suspension, respectively. All the results provided evidence for the formation of different hybrid systems with different surface, structural and morphological characteristics.     

PAST AND FUTURE MANAGEMENT OF A COLLAPSED FISHERY: THE BAY OF BISCAY ANCHOVY

Abstract We analyze the efficiency of the international management of the Bay of Biscay anchovy. While a sharing agreement between France and Spain has been in place since 1992, the fish stock collapsed in 2005 and the fishery closed from 2005 to spring 2010. We consider differences in production technologies between both countries and calibrate our model using data from 1987 to 2009. Our results suggest two sources of rent dissipation under the existing sharing agreement: inefficient quota allocation and production inefficiencies due to inflexible national regulations. We discuss several alternatives to improve management.