Use of Micelles in the TLC Separation of Polynuclear Aromatic Compounds and Amino Acids

Abstract

The polynuclear aromatic compounds (PNA): anthracene, napthalene, phenanthrene, pyrene, pyrenecarboxaldehyde, benzo (a) pyrene, benzo (e) pyrene, perylene and fluorene can be chromatographed on polyamide TLC sheets using an aqueous micellar solution cf sodium dodecylsulfate (SDS) as the mobile phase. Reversed micellar solutions (of sodium dioctylsulfosuccinate) were used in a reverse phase chromatographic separation of amino acids. Some amino acids tended to streak slightly rather than move as discrete spots. Conditions could be adjusted, however, so that most of the amino acids and all PNA's would move as spots.     

Three‐dimensional computation for flow‐induced vibrations in in‐line and cross‐flow directions of a circular cylinder

We present numerical results for in‐line and cross‐flow vibrations of a circular cylinder, which is immersed in a uniform flow and is elastically supported by damper‐spring systems to compute vibrations of a rigid cylinder. In the case of a circular cylinder with a low Scruton number, it is well‐known that two types of self‐excited vibrations appear in the in‐line direction in the range of low reduced velocities. On the other hand, a cross‐flow vibration of the circular cylinder can be excited in the range of high reduced velocities. Therefore, we compute the flow‐induced vibrations of the circular cylinder in the wide range of the reduced velocities at low and high Scruton numbers and discuss about excitation mechanisms in the in‐line and cross‐flow directions. Copyright © 2011 John Wiley & Sons, Ltd.     

The spherical-model limit in a random field

The spherical-model limitn of then-vector model in a random field, with either a statistically independent distribution or with long-range correlated random fields, is studied to demonstrate the correctness of the replica method in which then and replica limits limits are interchanged, provided the replica and thermodynamic limits are taken in the right order, in the case of long-range correlated random fields. A scaling form for the two-point correlation function relevant to the first-order phase transition below the lower critical dimensionality of the random system is also obtained.     

Co-ordination stoichiometry,edge shift and effective nuclear charge: A novel correlation

Summary K-absorption edge shifts of the absorbing atom in its complexes have been correlated with the effective nuclear charge on the central metal ion, overall electronegativity difference between the nearest neighbours in the complexes and the ionic radius of the central metal ion; a linear correlation has been observed among them, the data subjected to the method of least squares indicated that the correlation is genuine.

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Riassunto Gli slittamenti dell’orlo di assorbimentoK dell’atomo assorbente nei suoi complessi sono stati correlati con la carica nucleare efficacie sullo ione metallico centrale, con la differenza di elettronegatività generale tra vicini prossimi nei complessi e col raggio ionico dello ione metallico centrale; una correlazione lineare è stata osservata tra loro, i dati soggetti al metodo dei minimi quadranti hanno indicato che la correlazione è genuina.

     

The pressure broadening and shift for the J=1−0 line of CH3C14N: Resolved and overlapped hyperfine components

Summary Pressure broadening and shift parameters are measured for theJ=1−0 line of CH₃C¹⁴N at 18.4 GHz, both for the three hyperfine components and for the single line which envelopes the hyperfine components, observed at higher pressures (p≥40 mTorr). In agreement with theoretical predictions, these parameters are the same for all the observed lines: Γ _p = (50 ± 5) MHz/Torr,s=(7±2) MHz/Torr. These values are compared with previous measurements, showing a large variance expecially for the shift parameter. The measured broadening parameter is 40% lower than prediction of the Anderson theory.

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Riassunto Sono stati misurati i parametri di allargamento e spostamento per pressione della rigaJ=1−0 del CH₃C¹⁴N a 18.4 GHz. Tali misure sono state eseguite, sulle tre componenti iperfini e sul loro inviluppo osservato a pressionip≥40 mTorr. In accordo con le previsioni teoriche, questi parametri risultano gli stessi per tutte le righe osservate: Γ _p = (50 ± 5) MHz/Torr,s=(7±2) MHz/Torr. Questi valori sono confrontati con quelli delle precedenti misure che mostrano una considerevole dispersione, specialmente per quanto riguarda il parametro di spostamento. L'allargamento per pressione è risultato piú basso di quello previsto dalla teoria di Anderson di circa il 40%.

     

Slow-wave directional coupler and its applications

The directional coupler and the traveling-wave directional filter made of coupled slow-wave microstrip lines are proposed and their characteristics discussed. These structures exhibit interesting characteristics not readily available in conventional transmission lines.This work is supported by U.S. Army Research Office contract DAAG29-84-K-0076.     

Transition radiation from polarization charges

Summary A treatment of transition radiation is presented. This is based on the fields produced by the polarization charges in the radiation zone. These charges are extracted from the exact forms of the fields which were derived previously. A distinction is found between the radiation in the forward and in the backward regions. This would call for experimental verification. Comparison with other treatments shows similarity in the general features but important differences in the details.

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Riassunto Si presenta una trattazione della radiazione transitoria. Essa è basata sui campi emessi nella regione asintotica dalle cariche di polarizzazione. Queste cariche sono estratte dalle forme esatte di campi che erano stati precedentemente derivati. Si verifica una distinzione chiara fra la radiazione nella direzione avanti e indietro. Questo neccesiterebbe una verifica sperimentale. Il confronto con altri trattamenti mostra una somiglianza nelle linee generali ma anche importanti differenze nei dettagli.

     

Neutron excitation of landau and collective modes in a magnetized plasma

Summary The response function for magnetic neutron scattering off electrons forming a one-component plasma, or jellium model, subject to a steady magnetic field, is calculated in the semi-classical limit in which Boltzmann statistics apply to the electron states. A complete expression for the response of an ideal plasma is given in a compact, closed form, amenable to numerical investigation, and including the dependence on electron parameters such as effective mass and gyromagnetic ratio. Effects due to the Coulomb interaction are discussed within the limitations of the random phase approximation. The theoretical results are used to predict the conditions that must obtain for the observation of neutron excitation of Landau and collective modes.

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Riassunto La funzione di risposta per lo scattering magnetico dei neutroni dagli elettroni che forma un plasma ad un componente, o modello di jellio, soggetto ad un campo magnetico fisso, è calcolata nel limite semiclassico nel quale la statistica di Boltzmann si applichi agli stati elettronici. Si dà un’espressione completa per la risposta di un plasma ideale in una forma compatta e chiusa adatta alla ricerca numerica e che include la dipendenza dai parametri elettronici come la massa efficace ed il rapporto giromagnetico. Si discutono gli effetti dovuti all’interazione di Coulomb entro i limiti dell’approssimazione di fase random. I risultati teorici sono usati per prevedere le condizioni che devono essere ottenute dall’osservazione dell’eccitazione dei neutroni di Landau e dei modi collettivi.

     

Diffraction integral for misaligned systems and interference effects of optical arrays

Summary In the present paper, a diffraction integral formula for a misaligned optical system is derived. The interference effects of opticalelement arrays are studied by means of such a formula. The possibility of eliminating interference fringes is discussed. The conclusion is that the interference fringes could be eliminated when the αβγδ condition for arrays is satisfied. The synthetical aberration is simultaneously eliminated. However, in this case, the synthetical image coincides with the individual images. For some special application, the synthetical image does not coincide with the individual images and the αβγδ condition is not fulfilled. But the interference fringes may disappear in some special cases.

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Riassunto La formula di Collins, che esprime il cammino ottico fra un punto del piano oggetto e un punto del piano immagine nel caso di un sistema ottico centrato, è generalizzata al caso di un sistema ottico disallineato. La formula cosí ottenuta è applicata allo studio del fenomeno d’interferenza che ha luogo nel piano della cosiddetta ?immagine sintetica? fra i vari fasci emergenti da una cortina di elementi ottici. Si discutono infine le condizioni in cui non si hanno frange d’interferenza sull’immagine sintetica.

     

Density functional theory for a model of nonuniform liquid metal in partially ionized states

Summary The problem of the electronic, ionic and atomic density profiles in a nonuniform liquid metal which can locally exist in partially ionized states is examined using the density functional formalism. Ions and electrons are allowed to bind into atoms through a ?reaction? governed by the mass action law. Formally exact equations for the density profiles are given in terms of the inverse response matrix of the nonuniform system, which consists of two terms: the first corresponding to to a mixture of ions, electrons and structureless atoms and the other to the atomic internal degrees of freedom. Approximate schemes are proposed for both contributions, stressing, in partieular, i) how ionization of the atoms arises with increasing density and the relation with Mott’s criterion for the metal-insulator transition, and ii) the usefulness of a weak-coupling assumption for interspecies correlations. This formalism used together with properly parametrized trial functions for the density profiles should be particularly useful for studying the liquid-vapour interface of alkali metals.

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Riassunto Il lavoro usa il formalismo del funzionale di densità per discutere la determinazione dei profili di densità in un fluido non omogeneo che può trovarsi localmente in stati di ionizzazione parziale. Con riferimento specifico ai metalli alcalini, la formazione di atomi per legame di ioni ed electtroni è descritta come una ?reazione? governata dalla legge di azione di massa. Le condizioni di equilibrio microscopico del fluido sono espresse tramite una matrice di risposta in cui appaiono due contributi, associati rispettivamente ai gradi di libertà interni degli atomi e ad una miscela di tre specie di particelle senza struttura interna. Si propongono quindi schemi approssimati per il calcolo di questi due contributi, con attenzione particolare all’uso di teorie perturbative e alla relazione tra grado di ionizzazione locale e densità localle, in connessione col criterio di Mott per la transizione isolante-metallo. Il formalismo proposto è in particolare appropriato per lo studio dell’interfaccia liquido-vapore in metalli alcalini.

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Резюме Используя функционала плотности, исследуется проблема профилей электронной, ионной и атомой ллотностей В неоднодном зидком металле, которий мозет локалщно существоватщ в частично иониэированных состояних. Ионы и электроны могут şвяэыватщся в атомщ череэ ?реакцию, определяемую эаконом дейşтвуюших масс. Приводятся формалщно точные уравнения для профнлеи плотности в термина⇆ обратной матрици отклика для неоднородной системы, которая состоит иэ двух чуленов: первий соответствует ссмеси ионов, электронов и бесстрктурных атмов и второй член соответствует атомным внутренним степеням свобды. Предлагаются приближенные схемы для обоых вкладов, обрашая особое бнмание, в частности, 1) как иониэация атомов воэликает бри увеличени влотности, на свяэы с критерием Мота для берехода ?металл-иеолятор?, и 2) на полеэносты предположения слабой свяэи для межвидовых кореляций. Предложенный Формалиэм, исполыеовалный вместе с параметриэованными пробными функциями для профилей плотнорти, окаэываетця оробенне полеэным для исследования грраницы ?жидкостъ-пар? в шелочлых металлах.