A configurational temperature Nosé-Hoover thermostat

We propose two new thermostats which can be employed in computer simulations to ensure that two different variants of the configurational temperature fluctuate around their equilibrium values. These new thermostats differ from one previously introduced by Delhommelle and Evans [Mol. Phys. 99, 1825 (2001)] in several important ways. First, our thermostats are derived in the same spirit as the Nosé-Hoover thermostat and therefore generate the canonical phase-space distribution. Second, our thermostats involve simpler equations of motion, which do not involve spatial gradients of the configurational temperature. They do not suffer from problems stemming from stiff equations of motion and furthermore, in large temperature perturbation simulations, the measured temperature follows the set-point temperature without any overshoot, and with good damping of oscillations. We show that both of our configurational thermostats are special cases of a more general set of Nosé-Hoover equations proposed by Kusnezov et al. [Ann. Phys. 204, 155 (1990)]. The new thermostats are expected to be highly useful in nonequilibrium simulations, particularly those characterized by spatial inhomogeneities. They should also find applicability in simulations involving large changes in temperature over small time scales, such as temperature quench molecular dynamics and radiation damage modeling.     

The canonical ensemble via symplectic integrators using Nosé and Nosé-Poincaré chains

Simulations that sample from the canonical ensemble can be generated by the addition of a single degree of freedom, provided that the system is ergodic, as described by Nosé with subsequent modifications by Hoover to allow sampling in real time. Nosé-Hoover dynamics is not ergodic for small or stiff systems and the addition of auxiliary thermostats is needed to overcome this deficiency. Nosé-Hoover dynamics, like its derivatives, does not have a Hamiltonian structure, precluding the use of symplectic integrators which are noted for their long term stability and structure preservation. As an alternative to Nosé-Hoover, the Hamiltonian Nosé-Poincaré method was proposed by Bond, Laird, and Leimkuhler [J. Comput. Phys. 151, 114 (1999)], but the straightforward addition of thermostatting chains does not sample from the canonical ensemble. In this paper a method is proposed whereby additional thermostats can be applied to a Hamiltonian system while retaining sampling from the canonical ensemble. This technique has been used to construct thermostatting chains for the Nosé and Nosé-Poincaré methods.     

Crooks equation for steered molecular dynamics using a Nosé-Hoover thermostat

The Crooks equation [Eq. (10) in J. Stat. Phys. 90, 1481 (1998)], originally derived for microscopically reversible Markovian systems, relates the work done on a system during an irreversible transformation to the free energy difference between the final and the initial state of the transformation. In the present work we provide a theoretical proof of the Crooks equation in the context of constant volume, constant temperature steered molecular dynamics simulations of systems thermostated by means of the Nosé-Hoover method (and its variant using a chain of thermostats). As a numerical test we use the folding and unfolding processes of decaalanine in vacuo at finite temperature. We show that the distribution of the irreversible work for the folding process is markedly non-Gaussian thereby implying, according to Crooks equation, that also the work distribution of the unfolding process must be inherently non-Gaussian. The clearly asymmetric behavior of the forward and backward irreversible work distributions is a signature of a non-Markovian regime for the folding/unfolding of decaalanine.     

Synthesis of Fréchet-type dendritic homotriptycenes

A rapid and efficient synthesis of novel dendrimer homotriptycenes is presented. The dendronized 9,10-dihydroanthracen-9-ols 4, having high electron densities in the benzene rings of the Fréchet-type dendrons, exhibited in the presence of acid a quantitative transannular ring closure to the corresponding dendritic homotriptycenes. The electron-donating Fréchet-type dendrons enabled the intramolecular FC alkylation by a regioselective 1,7-elimination of H2O.     

Linéarisation et homogénéisation en viscoélasticité

Constitutive equations for non-linear viscoelastic materials are expressed first using a causal operator which relates a response function to any loading history. The corresponding tangent linear equations are then defined through the Fréchet derivative of this operator. This definition is used to propose a step-by-step treatment in view of the derivation of the overall behaviour of non-linear non-ageing viscoelastic heterogeneous materials.     

Molecules-in-molecule estimation of the extent of localization of Kekuléan substructures in polycyclic aromatic hydrocarbons

This article first revises graph-theoretical (local aromaticity and overall molecular) indices, introduced by M. Randi? in 1975, for benzenoid hydrocarbons and somewhat improves them for computer enumeration. This goes beyond total Kekulé structure enumeration, yielding an index calculation useful for the quantitative estimation of localization of different Kekuléan substructures (including ethylene-, benzene-, annulene-, and radialene-units). This may be viewed as a "molecules-in molecule" approach to polycyclic aromatic hydrocarbons within the context of graph theoretical partitioning.     

The origin of obsidian in the valley of Maltrata, Veracruz México

Five archaeological sites have been selected for a study of the precedence of obsidian from the Valley of Maltrata, Veracruz, Mexico: Teteles de la Ermita and Barriales de las Besanas (pre-Classic, 1,500 B.P. 100 A.P.), Rincón de Aquila (pre-Classic and Classic, 1,500 B.P.–650 A.P.), Tepeyacatitla (Classic, 100–650 A.P. and Rincón Brujo (post-Classic 900/1,000–1,521 A.P.). For this investigation, 51 artifacts were analyzed by neutron activation analysis. The statistic analysis of the chemical compositions allowed us to identify the places of origin of the obsidian sources: Sierra de Pachuca, Pico de Orizaba, Zaragoza-Oyameles, Otumba and Paredón. Based on these results it can be affirmed that the settlements of the valley of Maltrata actively participated in the interregional trade routes of obsidian from the pre-Classic period to the post-Classic period, and maintained relations with the Olmec, Teotihuacan, Cantona and Mexica cultures, among others.     

Chemical constituents from the leaves of Pinus dalatensis Ferré

A phytochemical study of n-hexane and ethyl acetate extracts of Pinus dalatensis Ferré leaves led to the isolation of 11 compounds, including one caryolane sesquiterpenoid (1), five labdane diterpenoids (2, 3, 4, 5, 6), one serratane triterpenoid (7), one diacylated flavonoid glucoside (8), one stilbenoid (9) and two sterols (10, 11). The structural characterisation of the isolated compounds was elucidated by spectroscopic data and comparison with the literature report on the chemical constituents from Pinus dalatensis Ferré. Futhermore, three compounds 1, 4 and 6 were obtained for the first time from the genus Pinus. Besides, compounds (2, 3, 5, 8, 9) were also subjected to cytotoxicity effect on SK-LU-1, MCF-7 and Hep-G2 cell lines, but only compound 9 expressed activities with IC₅₀ values of 141.22, 127.81 and 166.84 μM, respectively.     

Raman spectroscopic study of the antimonate mineral roméite

Raman spectroscopy has been sued to study the antimony containing mineral roméite Ca₂Sb₂O₆(OH,F,O) from three different origins. Roméite is a calcium antimonate mineral of the pyrochlore group. An intense Raman band at ～518 cm^?1 for roméite is assigned to the SbO ν₁ symmetric stretching mode and the band at 466 cm^?1 to the SbO ν₃ antisymmetric stretching mode. The Raman band at 303 cm^?1 is attributed to the OSbO bending mode. Some variation in band positions is observed and is attributed to the variation in composition between the three mineral samples.     

Géométrie de l'intermittence en turbulence développée

A geometrical interpretation of intermittency in fully developed turbulence is realized through an hierarchy of fractal structures Ω_p of dimensions Δ_p linked each other by the relations Ω_{p + 1} − Ω_p (i.e. Δ_{p + 1} < Δ_p) and γ = (Δ_{p + 1} − Δ_∞)/(Δ_p − Δ_∞) with γ = ((1 + 3/√8)^1/3 + (1 − 3/√8)^1/3)³ and Δ_∞ = 1 and Δ_∞ = 1. This is obtained by the introduction of an entropy jump, defined at the scale r, ΔS_p(r) = (Δ_{p + 1} − Δ_p) ln (r/r₀) characterizing the order level of each sub-structure Ω_p and verifying a linear relation ΔS_p(r) = γ ΔS_{p − 1}(r).     

Étude des propriétés des mélanges pebd régénéré / pebd vierge

This study is a contribution to the valorization of recycled low-density polyéthyléne (LDPE). First the characterization of five recycled LDPE produced from wastes coming from different sources was performed. The physical properties (density, melt flow index), chemical structure (Fourier transform infra-red spectroscopy) and mechanical properties (tensile strength and hardness) were investigated. The effect of the ratio of virgin LDPE on these physical and mechanical properties was studied in the case of the blends of recycled LDPE / virgin LDPE.     

La Rhéoturbidimétrie

Résumé L'état d'agrégation des particules de certaines solutions colloïdales dépend de la valeur du gradient de vitesse qui règne dans ces solutions et de la durée de l'écoulement. On décrit un appareil qui permet de mesurer les variations correspondantes de la turbidité. Les solutions examinées sont placées entre deux cylindres coaxiaux dont l'entrefer constitute la chambre de mesure proprement dite. Le gradient de vitesse est imposé par la rotation du cylindre intérieur. La partie optique et électrique du rhéoturbidimétre est contenue dans un chariot mobile afin de faciliter le nettoyage et le remplissage de la chambre de mesure. Une série d'exemples relatifs à des solutions aqueuses de virus de la mosaïque du tabac et de sérum albumine de buf native ou dénaturée montre les principaux cas susceptibles de se produire selon que l'agrégation provoquée par l'écoulement est ou non réversible en fonction du gradient de vitesse.

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Zusammenfassung Der Aggregationszustand der Teilchen gewisser kolloidaler Lösungen hängt vom Geschwindigkeitsgradienten ab, der während der Dauer des Fließens in der Lösung herrscht. Ein Gerät wird beschrieben, das die entsprechenden Veränderungen in der Trübung zu messen gestattet. Die Lösungen befinden sich zwischen zwei koaxialen Zylindern, deren Zwischenraum die Meßkammer darstellt. Der innere Zylinder rotiert. Die optische und elektrische Anordnung des Rheoturbidimeters ist beweglich angeordnet, um Reinigung und Füllung der Meßkammer zu erleichtern. Eine Reihe von Relativmessungen an vorhandenen Lösungen von Tabakmosaikvirus und Rinderserumalbumin, natives und denaturiertes, zeigen die wesentlichen Fälle, die auftreten und bei denen Aggregation durch Fließen hervorgerufen wird, die reversibel oder nicht reversibel als Funktion des Geschwindigkeitsgradienten ist.

     

Etude polarographique du méthyl-phényl-dodécyl-triméthylammonium (désogène)

Rèsumè Le méthyl-phényl-dodécyl-triméthylammonium (désogène), donne une vague polarographique caractéristique, en utilisant comme électrolyte de support l'hydroxyde de tétraméthylammonium, le CILi ou le ClK.Les propriétés de cette vague ont été étudiées en fonction de la concentration du saponium. La loi d'Ilkovi est vérifiée.Deux électrons interviennent dans la réduction du saponium.

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Summary The cationic detergent désogène (methyl-phenyl-dodecyl-trimethylammonium) gives a characteristic polarographic wave in LiCl or in tetramethylammonium solution. The wave seems to correspond to a 2 electronprocess, following Ilkovi's law at low concentrations. A typical adsorption maximum, proceeded by a prewave wich does not follow the Ilkovi' law is found at higher concentrations. At high ionic strength this maximum disappears.

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Zusammenfassung Das kationische Detergens Désogène (Methylphenyl-Dodeeyl-Trimethylammonium) gibt in Lithiumchlorid- oder in Tetramethylammoniumhydroxydlösung eine charakteristische polarographische Welle. Diese scheint einem 2-Elektronen-Prozeß zu entsprechen und folgt bei niederen Konzentrationen dem Gesetz von Ilkovi. Ein typisches Adsorptionsmaximum, dem eine dem Ilkovi-Gesetz nicht folgende Welle vorangeht, findet sich bei höheren Konzentrationen. Dieses Maximum verschwindet bei hoher Ionenkonzentration.

     

Méthodes de concentration préalable dans la détermination spectrochimique d'éléments à l'état de trace

Résumé La concentration préalable est très intéressante en vue des déterminations analytiques des traces d'éléments qui, en très petite concentration, se trouvent dans les sols de culture, les engrais chimiques, et commes des impuretés, ou des petites quantités des éléments, dans des alliages ou d'autres divers matériaux. Pour cette sorte de microdosage, nous avons spécialement choisi les méthodes spectrochimiques, comme celles les plus convenables pour la détermination simultanée de plusieurs éléments dans les échantillons étudiés. Avec cette concentration préalable des traces d'éléments on obtient dans des méthodes spectrochimiques, l'élimination la plus grande possible des éléments principales qui peuvent troubler ou bien déguiser les lignes appropriées pour le dosage des traces d'éléments. Des divers techniques utilisées pour la concentration préalable nous avons poursuivi spécialement celles qui basent sur l'emploi des réactifs chimiques appropriés, aussi bien qu'à cause de leur spécificité de la précipitation, aussi bien qu'à cause des procès de coprécipitation ou trainage qu'elles provoquent. Parmi les méthodes qui employent des réactifs organiques on a étudié, entre autres, la détermination spectrographique quantitative de petites quantités de bismuth comprises dans des alliages ternaires en base de plomb. On a employé le cupferron comme un réactif sélectif qui précipite le bismuth en présence de plomb et de cadmium, après avoir étudié la zone optime deph (0,5–1,5) dans laquelle ceci est possible. On a aussi étudié la détermination spectrochimique des traces de baryum à l'égard des diverses problèmes, en concentrant préalablement le baryum moyennant un procès de trainage ou coprécipitation provoqué par le ion sulfate en présence de plomb, qui s'ajoute excessivement, et que nous employons comme étalon interne spectral. Cette méthode a été employée pour le dosage de baryum dans certains procès d'adsorption, étudiés dans nos laboratoires.

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Summary The preliminary concentration is of great interest with regard to analytical determinations of traces of elements which occur at very low concentrations in agricultural soils, chemical fertilizers, and as impurities, or of minute quantities of elements in alloys or other divers materials. For this kind of microdetermination, we have especially chosen spectrochemical methods as being the most convenient for the simultaneous determination of several elements in the samples studied. With this preliminary concentration of traces of elements, there is obtained in the spectrochemical methods, the greatest possible elimination of the principal elements which may interfere with or entirely disguise the appropriate lines to be followed for determining the traces of elements. Among the various techniques employed for the preliminary concentration, we have followed especially those which are based on the use of appropriate chemical reagents, both because of there specific precipitating action, or because of the process of coprecipitation or entrainment which they provoke. Among the methods, which utilize organic reagents, there have been studied, for instance, the spectrographic quantitative determination of small quantities of bismuth contained in ternary alloys containing principally lead. Cupferron has been used as a selective reagent, which precipitates bismuth in the presence of lead and cadmium, after establishing the optimalph zone (0,5–1,5) in which this separation is possible. A study has also been made of the spectrochemical determination of barium by means of an entrainment of coprecipitation process brought about by sulfate ion in the presence of lead, added in excess, and which we have used as an internal spectral standard. This method has been used for the determination of barium in certain adsorption processes studied on our laboratories.

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Zusammenfassung Die vorhergehende Anreicherung hat für die analytische Bestimmung von Spurenelementen in Ackerböden und im Kunstdünger oder von geringsten Beimengungen und Verunreinigungen in Legierungen oder sonstigem Material große Bedeutung. Wir verwenden für solche Mikrobestimmungen vor allem spektralanalytische Methoden, da sie sich für die gleichzeitige Bestimmung mehrerer Elemente in einer Probe am besten eignen. Mit einer solchen der Spektralanalyse vorangehenden Anreicherung erzielt man die größtmögliche Entfernung der Hauptbestandteile, die die zur spektralanalytischen Bestimmung der Spuren geeigneten Linien stören oder sogar überdecken können. Von den verschiedenen zur Anreicherung geeigneten Verfahren verwenden wir vor allem die mit Hilfe von chemischen Reagenzien, sei es daß sich diese zufolge ihrer Spezifität hierzu besonders eignen, sei es weil sie bei der Niederschlagsbildung die gesuchten Elemente mit ausfällen oder mitschleppen. Unter Zuhilfenahme organischer Reagenzien studierten wir unter anderem die spektralanalytische Bestimmung kleiner Mengen Wismuth, wie sie sich in Legierungen auf Bleibasis finden. Wir verwendeten hierfür als selektives Reagens Cupferron, welches Wismuth in Gegenwart von Blei und Cadmium ausfällt. Als geeignetstesph-Bereich hierfür wurde 0,5 bis 1,5 bestimmt. Weiters untersuchten wir die spektralanalytische Bestimmung von Bariumspuren mit Rücksicht auf gewisse Problemstellungen, indem wir das Barium vorher mit Sulfationen gleichzeitig mit Blei ausfällten, welches im Überschuß zugefügt und von uns als Vergleichssubstanz verwendet wurde. Diese Methode wurde zur Bariumbestimmung bei gewissen Adsorptionsversuchen verwendet, die in unserem Laboratorium durchgeführt werden.

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Avec 4 figures.     

Récentes réalisations en analyse thermogravimétrique

Résumé Récentes applications en chimie minérale de la thermogravimétrie, en association avec d'autres techniques comme l'analyse thermique différentielle, les rayons X, la spectrographie d'absorption infrarouge, etc.

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Summary Recent applications in inorganic chemistry of thermogravimetry, in association with other techniques such as differential thermal analysis, X-rays, infra red absorption, etc.

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Zusammenfassung Eine Übersicht über neuere Anwendungsmöglichkeiten der Thermogravimetrie in der anorganischen Chemie wird gegeben. Die Verbindung mit anderen Verfahren, wie IR-Spektrographie, thermische Differenzanalyse, Röntgenanalyse u. dgl., wird erörtert.

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Conférence donnée à Luton, le 16 avril 1962     

Modélisation multiphasique de matériaux renforcés par inclusions linéaires

Making use of the virtual work method, a mechanical multiphase model for reinforced materials is developed. Matrix and reinforcement are continuously distributed. In modelling the internal forces, account is taken of the ‘continuous’ and ‘curvilinearharacteristics of the matrix and reinforcements, and of their interaction. The corresponding equations of motion and associated boundary conditions are deduced for each phase by applying the virtual work principle. Such a multiphase model is a suitable framework for dealing with problems in which imperfect bonding between matrix and reinforcements should be taken into account.