Particle Characterization by Projected Area Determination

The projected areas of non-spherical particles do not represent an unambiguous particle characteristic. Depending on the orientation towards a constant observational direction, different projected areas result. The spectrum of all projected area values of a particle, if determined representatively, gives the probability with which a certain value is obtained by a single measurement. In this work, the frequency distributions of different examples of test objects were both calculated and measured. The objects were a cube, a rectangular parallelepiped and also three model agglomerates consisting of spheres of the same size. Instead of just one projected area, during each measuring procedure three projected areas from three orthogonal directions can be obtained. A mean value is then calculated to reduce the ambiguity of the particle characteristic and enhance the resolution. A suitable measurement set-up is introduced. The results of calculation and measurement are compared for observation from just one direction and also simultaneous observation from three directions. The frequency distributions of the equivalent diameters of the particle projected areas show a characteristic trend of the total curve with remarkable properties. The simultaneous measurement of three values from mutually orthogonal directions and their mean value calculation result in a much narrower distribution. In this case, a non-sphericity factor can additionally be calculated, whose frequency distribution contains information in a characteristic manner about the degree to which the particle shape differs from a sphere.     

Minimum boundary touching tilings of polyominoes

We study the problem of tiling a polyomino P with as few squares as possible such that every square in the tiling has a non‐empty intersection with the boundary of P . Our main result is an algorithm which given a simply connected polyomino P computes such a tiling of P . We indicate how one can improve the running time of this algorithm for the more restricted row‐column‐convex polyominoes. Finally we show that a related decision problem is in NP for rectangular polyominoes. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

An instanton-invariant for 3-manifolds

To an oriented closed 3-dimensional manifoldM withH ₁(M, )=0, we assign a ₈-graded homology groupI _*(M) whose Euler characteristic is twice Casson's invariant. The definition uses a construction on the space of instantons onM×.     

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Ohne Zusammenfassung     

Controlled vesicle self-assembly in microfluidic channels with hydrodynamic focusing

Traditional liposome preparation methods are based on mixing of bulk phases, leading to inhomogeneous chemical and/or mechanical conditions during formation; hence liposomes are often polydisperse in size and lamellarity. Here we show the formation of liposomes that encapsulate reagents in a continuous two-phase flow microfluidic network with precision control of size from 100 to 300 nm by manipulation of liquid flow rates. We demonstrate that by creating a solvent-aqueous interfacial region in a microfluidic format that is homogeneous and controllable on the length scale of a liposome, we can facilitate the fine control of liposome size and polydispersity.     

Anionenaustauschtrennungen der mit Tributylphosphat extrahierbaren Elemente. VII

Zusammenfassung Eine Methode zur Abtrennung des Urans wird beschrieben, bei der das Uran aus einer 6-m salzsauren Lösung mit reinem, unverdünntem TBP extrahiert und aus einer Mischung von 30 Vol.% TBP, 60 Vol.% Methylglykol und 10 Vol.% 12-m Salzsäure am stark basischen Anionenaustauscher Dowex 1-X8 (Chloridform) adsorbiert wird. Da der TBP-Extrakt zur Bereitung dieser Mischung verwendet wird, lassen sich Extraktion und Ionenaustausch kombinieren, wodurch nicht nur die Selektivität der Abtrennung des Urans wesentlich erhöht wird, sondern auch eine so weitgehende Anreicherung des Urans auf dem Harz erfolgt, daß auch ppm-Mengen leicht zu bestimmen sind. Das Harz wird zu diesem Zweck zunächst zur Entfernung des TBP mit einer Mischung von 90 Vol.% Methylglykol und 10 Vol.% 12-m Salzsäure, dann zur Entfernung von mitadsorbierten Elementen mit 6-m Salzsäure behandelt; anschließend wird das Uran mit 1-m Salzsäure eluiert und fluorimetrisch bestimmt. Zu Vergleichszwecken wurden 16 geologische Proben nach dieser Methode und auch unter Anwendung einer anderen Anionenaustauschmethode analysiert. Die Ergebnisse zeigen, daß das hier beschriebene Trennverfahren eine quantitative Abtrennung des Urans ermöglicht und zu gut reproduzierbaren Resultaten führt.

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Anionic exchange separations of the elements that are extractable with tributyl phosphate. VII

Summary A method is described for the separation of uranium in which the latter is extracted from a 6M hydrochloric acid solution by means of pure undiluted TBP and adsorbed from a mixture of 30 volume % TBP, 60 volume % methylglycol and 10 volume % of 12M hydrochloric acid on the strongly basic anionexchanger Dowex 1-X8 (chloride form). Since the TBP-extract is used for the preparation of this mixture, the extraction and the ion-exchange may be combined, whereby not only the selectivity of the separation of the uranium is significantly raised but also there follows such a rar-reaching enrichment of the uranium on the resin that even ppm quantities are readily determined. For this latter purpose, the resin is first treated with a mixture of 90 volume % methylglycol and 10 volume % 12M hydrochloric acid to remove the TBP, and then with 6M hydrochloric acid to remove the co-adsorbed elements; and then the uranium is eluted by means of 1M hydrochloric acid and determined fluorimetrically. For comparison purposes, 16 geologic specimens were analyzed in accord with this procedure and also employing another anion exchange method. The results show that the separation method described here makes possible a quantitative separation of the uranium and leads to good reproducible results.

     

Substituenteneffekte auf azido-tetrazolo-gleichgewichte elektronische und sterische effekte bei s-triazolo[4,3-c]tetrazolo[1,5-a]pyrimidinen1

The azido tetrazolo valence isomerism of twenty 9-methyl-s-triazolo[4,3-c]tetrazolo[1,5-a]pyrimidines with different substituents at position 5 has been studied by means of ¹H NMR spectroscopy. All the compounds have been found to be tetrazoles in the solid state and in (CD₃)₂SO solution; in CF₃COOH azido and tetrazolo isomers are in equilibrium. From equilibrium constants K and thermodynamic data determined it is concluded that in this series K depends on both electronic effects and steric requirements of the 5-substituents. A linear relation between K and σ was found for 5-arylderivatives because ΔS° keeps approximately constant and the substituent mainly operates on ΔH°.