Phonon spectra and thermodynamic properties of rare gas solids based on empirical and semi-empirical (ab initio) two-body potentials : a comparative study /

We study the phonon dispersion, cohesive and thermal properties of raxe gas solids Ne, Ar, Kr, and Xe, using a variety of potentials obtained from different approaches; such as, fitting to crystal properties, purely ab initio calculations for molecules and dimers or ab initio calculations for solid crystalline phase, a combination of ab initio calculations and fitting to either gas phase data or sohd state properties. We explore whether potentials derived with a certain approaxih have any obvious benefit over the others in reproducing the solid state properties. In particular, we study phonon dispersion, isothermal ajid adiabatic bulk moduli, thermal expansion, and elastic (shear) constants as a function of temperatiue. Anharmonic effects on thermal expansion, specific heat, and bulk moduli have been studied using A^ perturbation theory in the high temperature limit using the neaxest-neighbor central force (nncf) model as developed by Shukla and MacDonald [4]. In our study, we find that potentials based on fitting to the crystal properties have some advantage, particularly for Kr and Xe, in terms of reproducing the thermodynamic properties over an extended range of temperatiures, but agreement with the phonon frequencies with the measured values is not guaranteed. For the lighter element Ne, the LJ potential which is based on fitting to the gas phase data produces best results for the thermodynamic properties; however, the Eggenberger potential for Ne, where the potential is based on combining ab initio quantum chemical calculations and molecular dynamics simulations, produces results that have better agreement with the measured dispersion, and elastic (shear) values. For At, the Morse-type potential, which is based on M0ller-Plesset perturbation theory to fourth order (MP4) ab initio calculations, yields the best results for the thermodynamic properties, elastic (shear) constants, and the phonon dispersion curves.

An application of cell-cluster theory to a rare gas crystal /|n[by] K. Westera. - 260 St. Catharines [Ont.] : Dept. of Physics, Brock University,

The Lennard-Jones Devonshire 1 (LJD) single particle theory for liquids is extended and applied to the anharmonic solid in a high temperature limit. The exact free energy for the crystal is expressed as a convergent series of terms involving larger and larger sets of contiguous particles called cell-clusters. The motions of all the particles within cell-clusters are correlated to each other and lead to non-trivial integrals of orders 3, 6, 9, ... 3N. For the first time the six dimensional integral has been calculated to high accuracy using a Lennard-Jones (6-12) pair interaction between nearest neighbours only for the f.c.c. lattice. The thermodynamic properties predicted by this model agree well with experimental results for solid Xenon.

Application of [Lambda] to the fourth perturbation theory in calculating the equation of state of rare gas solids and fcc metals

We have calculated the thermodynamic properties of monatomic fcc crystals from the high temperature limit of the Helmholtz free energy. This equation of state included the static and vibrational energy components. The latter contribution was calculated to order A4 of perturbation theory, for a range of crystal volumes, in which a nearest neighbour central force model was used. We have calculated the lattice constant, the coefficient of volume expansion, the specific heat at constant volume and at constant pressure, the adiabatic and the isothermal bulk modulus, and the Gruneisen parameter, for two of the rare gas solids, Xe and Kr, and for the fcc metals Cu, Ag, Au, Al, and Pb. The LennardJones and the Morse potential were each used to represent the atomic interactions for the rare gas solids, and only the Morse potential was used for the fcc metals. The thermodynamic properties obtained from the A4 equation of state with the Lennard-Jones potential, seem to be in reasonable agreement with experiment for temperatures up to about threequarters of the melting temperature. However, for the higher temperatures, the results are less than satisfactory. For Xe and Kr, the thermodynamic properties calculated from the A2 equation of state with the Morse potential, are qualitatively similar to the A 2 results obtained with the Lennard-Jones potential, however, the properties obtained from the A4 equation of state are in good agreement with experiment, since the contribution from the A4 terms seem to be small. The lattice contribution to the thermal properties of the fcc metals was calculated from the A4 equation of state, and these results produced a slight improvement over the properties calculated from the A2 equation of state. In order to compare the calculated specific heats and bulk moduli results with experiment~ the electronic contribution to thermal properties was taken into account~ by using the free electron model. We found that the results varied significantly with the value chosen for the number of free electrons per atom.

Habitat selection of three rodents in a frequently burned boreal environment : productivity and habitat diversity

How does fire affect the plant and animal community of the boreal forest? This study attempted to examine the changes in plant composition and productivity, and small mammal demography brought about by fire in the northern boreal environment at Chick Lake, N.W.T. (65053fN, 128°14,W). Two 5*6 ha plots measuring 375m x 150m were selected for study during the summers of 1973 and 197^. One had been unburned for 120 years, the other was part of a fire which burned in the spring of 1969. Grids of 15m x 15m were established in each plot and meter square quadrats taken at each of the 250 grid intersections in order to determine plant composition and density. Aerial primary production was assessed by clipping and drying 80 samples of terminal new production for each species under investigation. Small mammal populations were sampled by placing a Sherman live trap at each grid intersection for ten days in every month. The two plots were similar in plant species composition which suggested that most regrowth in the burned area was from rootstocks which survived the fire. The plant data were submitted to a cluster analysis that revealed nine separate species associations, six of which occured in the burned area and eight of which occured in the control. These were subsequently treated as habitats for purposes of comparison with small mammal distributions. The burned area showed a greater productivity in flowers and fruits although total productivity in the control area was higher due to a large contribution from the non-vascular component. Maximum aerial productivity as dry wieght was measured at 157.1 g/m and 207.8 g/m for the burn and control respectively. Microtus pennsylvanicus and Clethrionomys rutilus were the two most common small mammals encountered; Microtus xanthognathus, Synaptomys borealis, and Phenacomys intermedius also occured in the area. Populations of M. pennsylvanicus and C. rutilus were high during the summer of 1973; however, M. pennsylvanicus was rare on the control but abundant on the burn, while C. rutilus was rare on the burn but abundant in the control. During the summer of 197^ populations declined, with the result that few voles of any species were caught in the burn while equal numbers of the two species were caught in the control. During the summer of 1973 M. pennsylvanicus showed a positive association to the most productive habitat type in the burn which was avoided by C. rutilus. In the control £• rutilus showed a similar positive association to the most productive habitat type which was avoided by M. pennsylvanicus. In all cases for the high population year of 1973# the two species never overlapped in habitat preference. When populations declined in 197^f "both species showed a strong association for the most productive habitat in the control. This would suggest that during a high population year, an abundant species can exclude competitors from a chosen habitat, but that this dominance decreases as population levels decrease. It is possible that M. pennsylvanicus is a more efficient competitor in a recently burned environment, while C. rutilus assumes this role once non-vascular regrowth becomes extensive.

Modified statistical methods to calculate rare gas interaction potentials

New density functionals representing the exchange and correlation energies (per electron) are employed, based on the electron gas model, to calculate interaction potentials of noble gas systems X2 and XY, where X (and Y) are He,Ne,Ar and Kr, and of hydrogen atomrare gas systems H-X. The exchange energy density functional is that recommended by Handler and the correlation energy density functional is a rational function involving two parameters which were optimized to reproduce the correlation energy of He atom. Application of the two parameter function to other rare gas atoms shows that it is "universal"; i. e. ,accurate for the systems considered. The potentials obtained in this work compare well with recent experimental results and are a significant improvement over those from competing statistical modelS.

Molecular dynamics calculation of mean square displacement in alkali metals and rare gas solids and comparison with lattice dynamics

Molec ul ar dynamics calculations of the mean sq ua re displacement have been carried out for the alkali metals Na, K and Cs and for an fcc nearest neighbour Lennard-Jones model applicable to rare gas solids. The computations for the alkalis were done for several temperatures for temperature vol ume a swell as for the the ze r 0 pressure ze ro zero pressure volume corresponding to each temperature. In the fcc case, results were obtained for a wide range of both the temperature and density. Lattice dynamics calculations of the harmonic and the lowe s t order anharmonic (cubic and quartic) contributions to the mean square displacement were performed for the same potential models as in the molecular dynamics calculations. The Brillouin zone sums arising in the harmonic and the quartic terms were computed for very large numbers of points in q-space, and were extrapolated to obtain results ful converged with respect to the number of points in the Brillouin zone.An excellent agreement between the lattice dynamics results was observed molecular dynamics and in the case of all the alkali metals, e~ept for the zero pressure case of CSt where the difference is about 15 % near the melting temperature. It was concluded that for the alkalis, the lowest order perturbation theory works well even at temperat ures close to the melting temperat ure. For the fcc nearest neighbour model it was found that the number of particles (256) used for the molecular dynamics calculations, produces a result which is somewhere between 10 and 20 % smaller than the value converged with respect to the number of particles. However, the general temperature dependence of the mean square displacement is the same in molecular dynamics and lattice dynamics for all temperatures at the highest densities examined, while at higher volumes and high temperatures the results diverge. This indicates the importance of the higher order (eg. ~* ) perturbation theory contributions in these cases.

Facteurs associés à la présence d’une orchidée rare au Québec : Arethusa bulbosa L.

L’aréthuse bulbeuse (Arethusa bulbosa L.) est une orchidée tourbicole rare au Québec de par la petite taille de ses populations et les pressions qui pèsent sur son habitat. L’aréthuse est reconnue comme étant intolérante aux changements édaphiques de son habitat, notamment en regard du drainage. Afin de déterminer si l’aréthuse est une bonne espèce indicatrice de l’intégrité écologique des tourbières, cette étude compare des parcelles où l’espèce est présente et où elle est absente. Au cours des étés 2009 et 2010, 37 tourbières du Québec méridional ont été échantillonnées. Des analyses discriminantes ont mis en évidence les facteurs naturels ou d’origine anthropique qui expliquent le mieux la différence entre les quatre types de parcelles. Aussi, la recherche d’espèces indicatrices de la présence de l’aréthuse a été réalisée grâce à la méthode INDVAL. Les résultats montrent que l’aréthuse pousse principalement dans des tourbières présentant des conditions minérotrophes, ce qui est appuyé par le pH élevé et la présence de plantes indicatrices de minérotrophie dans les parcelles contenant l’aréthuse. Cette dernière semble aussi profiter d’une certaine atténuation de la lumière par des arbres dispersés ou par les strates plus basses. Finalement, certaines perturbations de faible ampleur semblent être bénéfiques pour l’aréthuse, ce qui ne permet pas d’affirmer qu’elle est une bonne espèce indicatrice de l’intégrité écologique des tourbières.

Fonction de la protéine Ceroid lipofuscinosis neuronal 5 (CLN5) dans le tri et le recyclage à l’endosome

Le tri et le transport efficace des hydrolases acides vers le lysosome jouent un rôle critique pour la fonction des cellules. Plus de 50 maladies humaines sont dues à des mutations des enzymes lysosomales, des protéines régulant des processus-clés du transport vers le lysosome ou des enzymes effectuant des modifications posttraductionnelles importantes pour la fonction du lysosome. L’objectif de cette thèse est d’identifier des protéines et des mécanismes permettant à la cellule de réguler le transport des enzymes vers le lysosome. Nous avons formulé l’hypothèse que des protéines mutées dans des maladies lysosomales et dont les fonctions étaient inconnues pouvaient jouer un rôle dans le transport vers le lysosome. Les céroïdes-lipofuscinoses neuronales forment une famille de maladies lysosomales rares mais sont aussi les maladies neurodégénératives infantiles les plus fréquentes. Plusieurs gènes impliqués dans les NCL encodent des protéines aux fonctions inconnues. Les travaux présentés dans cette thèse ont identifié la protéine « ceroid lipofuscinosis neuronal-5 » (CLN5) qui est localisée à l’endosome et au lysosome comme élément nécessaire au recrutement et à l’activation de rab7. Rab7 est une protéine Rab-clé qui contrôle le trafic à l’endosome tardif. Cette petite GTPase est impliquée dans le recrutement de retromer, un complexe protéique qui régule le trafic de l’endosome vers l’appareil de Golgi des récepteurs de tri lysosomal comme sortilin et le récepteur du mannose-6-phosphate. Dans les cellules où CLN5 est déplété, les récepteurs de tri lysosomal sont moins recyclés plus rapidement dégradés. En utilisant des expériences de photomarquage nous avons aussi pu démontrer que Rab7 est moins activées en l’absence de CLN5. Pour exécuter leur fonction les protéines rabs doivent être recrutée à la membrane et activées par l’échange d’une molécule de GDP pour une molécule de GTP. Le recrutement des Rabs à la membrane nécessite une modification posttraductionnelle lipidique pour être facilités. En utilisant un modèle de levures nous avons démontré que l’homologue de Rab7, Ypt7 est palmitoylée. Nous avons aussi démontré que la palmitoyltransférase Swif1 est nécessaire au recrutement de Ypt7 à la membrane. Nous avons aussi remarqué que les sous- unités de retromer chez la levure sont moins recrutées lorsque les palmitoyltransférases sont déplétées. Dans les cellules de mammifères nous avons démontré que Rab7 est également palmitoylé et que cette palmitoylation est possiblement effectuée par les palmitoyltransférases DHHC1 et DHHC8. La palmitoylation de Rab7 a lieu sur les cystéines en C-terminal qui sont nécessaires au recrutement membranaire et qui auparavant étaient uniquement décrites comme prénylées. En utilisant la méthode de « click chemistry » nous avons découvert que lorsque la prénylation de Rab7 est bloquée le niveau de palmitoylation augmente. Pour caractériser l’interaction entre CLN5 et Rab7 nous avons performé des expériences afin d’établir définitivement la topologie de cette protéine. Nous avons ainsi démontré que CLN5 est une protéine hautement glycosylée qui est initialement traduite en protéine transmembranaire et subséquemment clivée par un membre de la famille des peptidase de peptide signal (SPP). Cette protéine soluble peut alors possiblement interagir avec CLN3 qui est aussi palmitoylée pour recruter et activer Rab7. Nos études suggèrent pour la première fois que CLN5 pourrait être un recruteur et un activateur de Rab7 qui agirait avec la protéine CLN3 pour séquestrer Rab7 avec les autres récepteurs palmitoylés et permettre leur recyclage vers l’appareil de Golgi.

Geochemistry of Rare Erath Elements and Trace Metals along the Western Continental Shelf of India

Rare earth elements have occupied an important role in marine geochemical research, particularly as used in the format of REE abundance patterns to describe the geochemical pathways in marine sedimentation and authigenesis. This study concentrates on the distribution pattern of Rare earth elements in the sediments, behavior of Eu and Ce with respect to their occurrence in multiple oxidation states. It also concentrate the depth wise variation of sediment REEs from near shore areas (30m) to deeper depths 200m) in the Arabian Sea. It includes the downcore variation of REEs and other trace elements in the sediment cores and a comparison between the REE distributions of Arabian Sea sediment with the sediments of Andaman Sea. The study gives a general introduction regarding the importance of RRE studies, its occurrence and abundance, electronic configuration, lanthanide contraction, oxidations states and REE supply to the ocean, seawater and sediments.