Revisiting spatial distribution and biochemical composition of calcium-containing crystals in human osteoarthritic articular cartilage.

INTRODUCTION: Calcium-containing (CaC) crystals, including basic calcium phosphate (BCP) and calcium pyrophosphate dihydrate (CPP), are associated with destructive forms of osteoarthritis (OA). We assessed their distribution and biochemical and morphologic features in human knee OA cartilage. METHODS: We prospectively included 20 patients who underwent total knee replacement (TKR) for primary OA. CaC crystal characterization and identification involved Fourier-transform infra-red spectrometry and scanning electron microscopy of 8 to 10 cartilage zones of each knee, including medial and lateral femoral condyles and tibial plateaux and the intercondyle zone. Differential expression of genes involved in the mineralization process between cartilage with and without calcification was assessed in samples from 8 different patients by RT-PCR. Immunohistochemistry and histology studies were performed in 6 different patients. RESULTS: Mean (SEM) age and body mass index of patients at the time of TKR was 74.6 (1.7) years and 28.1 (1.6) kg/m², respectively. Preoperative X-rays showed joint calcifications (chondrocalcinosis) in 4 cases only. The medial femoro-tibial compartment was the most severely affected in all cases, and mean (SEM) Kellgren-Lawrence score was 3.8 (0.1). All 20 OA cartilages showed CaC crystals. The mineral content represented 7.7% (8.1%) of the cartilage weight. All patients showed BCP crystals, which were associated with CPP crystals for 8 joints. CaC crystals were present in all knee joint compartments and in a mean of 4.6 (1.7) of the 8 studied areas. Crystal content was similar between superficial and deep layers and between medial and femoral compartments. BCP samples showed spherical structures, typical of biological apatite, and CPP samples showed rod-shaped or cubic structures. The expression of several genes involved in mineralization, including human homolog of progressive ankylosis, plasma-cell-membrane glycoprotein 1 and tissue-nonspecific alkaline phosphatase, was upregulated in OA chondrocytes isolated from CaC crystal-containing cartilages. CONCLUSIONS: CaC crystal deposition is a widespread phenomenon in human OA articular cartilage involving the entire knee cartilage including macroscopically normal and less weight-bearing zones. Cartilage calcification is associated with altered expression of genes involved in the mineralisation process.

Reduced microwave losses of YBa2Cu3O7_thin films on electro-optic LiNbO3 crystals

We report on the growth of epitaxial YBa2Cu3O7 thin films on X-cut LiNbO3 single crystals. The use of double CeO2/YSZ buffer layers allows a single in-plane orientation of YBa2Cu3O7, and results in superior superconducting properties. In particular, surface resistance Rs values of 1.4 m¿ have been measured at 8 GHz and 65 K. The attainment of such low values of Rs constitutes a key step toward the incorporation of high Tc materials as electrodes in photonic and acoustic devices.

Galvanomagnetic effects in strongly doped p-Bi2Te3:Sn crystals

Magnetic field dependencies of Hall coefficient and magnetoresistivity are investigated in classical and quantizing magnetic fields in p-Bi2Te3 crystals heavily doped with Sn grown by Czochralsky method. Magnetic field was parallel to the trigonal axis C3. Shubnikov-de Haas effect and quantum oscillations of the Hall coefficient were measured at temperatures 4.2 K and 11 K. On the basis of the magnetic field dependence of the Hall coefficient a method of estimation of the Hall factor and Hall mobility using the Drabble- Wolf six ellipsoid model is proposed. Shubnikov-de Haas effect and quantum oscillations of the Hall coefficient were observed at 4.2 K and 11 K. New evidence for the existence of the narrow band of Sn impurity states was shown. This band is partly filled by electrons and it is overlapping with the valence states of the light holes. Parameters of the impurity states, their energy ESn - 15 meV, band broadening ¿<< k0T and localization radius of the impuritystate R - 30 Å were obtained.

Cryo-electron microscopy of vitreous sections of native biological cells and tissues : methodology and applications

Résumé L'eau est souvent considérée comme une substance ordinaire puisque elle est très commune dans la nature. En fait elle est la plus remarquable de toutes les substances. Sans l'eau la vie sur la terre n'existerait pas. L'eau représente le composant majeur de la cellule vivante, formant typiquement 70 à 95% de la masse cellulaire et elle fournit un environnement à d'innombrables organismes puisque elle couvre 75% de la surface de terre. L'eau est une molécule simple faite de deux atomes d'hydrogène et un atome d'oxygène. Sa petite taille semble en contradiction avec la subtilité de ses propriétés physiques et chimiques. Parmi celles-là, le fait que, au point triple, l'eau liquide est plus dense que la glace est particulièrement remarquable. Malgré son importance particulière dans les sciences de la vie, l'eau est systématiquement éliminée des spécimens biologiques examinés par la microscopie électronique. La raison en est que le haut vide du microscope électronique exige que le spécimen biologique soit solide. Pendant 50 ans la science de la microscopie électronique a adressé ce problème résultant en ce moment en des nombreuses techniques de préparation dont l'usage est courrant. Typiquement ces techniques consistent à fixer l'échantillon (chimiquement ou par congélation), remplacer son contenu d'eau par un plastique doux qui est transformé à un bloc rigide par polymérisation. Le bloc du spécimen est coupé en sections minces (d’environ 50 nm) avec un ultramicrotome à température ambiante. En général, ces techniques introduisent plusieurs artefacts, principalement dû à l'enlèvement d'eau. Afin d'éviter ces artefacts, le spécimen peut être congelé, coupé et observé à basse température. Cependant, l'eau liquide cristallise lors de la congélation, résultant en une importante détérioration. Idéalement, l'eau liquide est solidifiée dans un état vitreux. La vitrification consiste à refroidir l'eau si rapidement que les cristaux de glace n'ont pas de temps de se former. Une percée a eu lieu quand la vitrification d'eau pure a été découverte expérimentalement. Cette découverte a ouvert la voie à la cryo-microscopie des suspensions biologiques en film mince vitrifié. Nous avons travaillé pour étendre la technique aux spécimens épais. Pour ce faire les échantillons biologiques doivent être vitrifiés, cryo-coupées en sections vitreuse et observées dans une cryo-microscope électronique. Cette technique, appelée la cryo- microscopie électronique des sections vitrifiées (CEMOVIS), est maintenant considérée comme étant la meilleure façon de conserver l'ultrastructure de tissus et cellules biologiques dans un état très proche de l'état natif. Récemment, cette technique est devenue une méthode pratique fournissant des résultats excellents. Elle a cependant, des limitations importantes, la plus importante d'entre elles est certainement dû aux artefacts de la coupe. Ces artefacts sont la conséquence de la nature du matériel vitreux et le fait que les sections vitreuses ne peuvent pas flotter sur un liquide comme c'est le cas pour les sections en plastique coupées à température ambiante. Le but de ce travail a été d'améliorer notre compréhension du processus de la coupe et des artefacts de la coupe. Nous avons ainsi trouvé des conditions optimales pour minimiser ou empêcher ces artefacts. Un modèle amélioré du processus de coupe et une redéfinitions des artefacts de coupe sont proposés. Les résultats obtenus sous ces conditions sont présentés et comparés aux résultats obtenus avec les méthodes conventionnelles. Abstract Water is often considered to be an ordinary substance since it is transparent, odourless, tasteless and it is very common in nature. As a matter of fact it can be argued that it is the most remarkable of all substances. Without water life on Earth would not exist. Water is the major component of cells, typically forming 70 to 95% of cellular mass and it provides an environment for innumerable organisms to live in, since it covers 75% of Earth surface. Water is a simple molecule made of two hydrogen atoms and one oxygen atom, H2O. The small size of the molecule stands in contrast with its unique physical and chemical properties. Among those the fact that, at the triple point, liquid water is denser than ice is especially remarkable. Despite its special importance in life science, water is systematically removed from biological specimens investigated by electron microscopy. This is because the high vacuum of the electron microscope requires that the biological specimen is observed in dry conditions. For 50 years the science of electron microscopy has addressed this problem resulting in numerous preparation techniques, presently in routine use. Typically these techniques consist in fixing the sample (chemically or by freezing), replacing its water by plastic which is transformed into rigid block by polymerisation. The block is then cut into thin sections (c. 50 nm) with an ultra-microtome at room temperature. Usually, these techniques introduce several artefacts, most of them due to water removal. In order to avoid these artefacts, the specimen can be frozen, cut and observed at low temperature. However, liquid water crystallizes into ice upon freezing, thus causing severe damage. Ideally, liquid water is solidified into a vitreous state. Vitrification consists in solidifying water so rapidly that ice crystals have no time to form. A breakthrough took place when vitrification of pure water was discovered. Since this discovery, the thin film vitrification method is used with success for the observation of biological suspensions of. small particles. Our work was to extend the method to bulk biological samples that have to be vitrified, cryosectioned into vitreous sections and observed in cryo-electron microscope. This technique is called cryo-electron microscopy of vitreous sections (CEMOVIS). It is now believed to be the best way to preserve the ultrastructure of biological tissues and cells very close to the native state for electron microscopic observation. Since recently, CEMOVIS has become a practical method achieving excellent results. It has, however, some sever limitations, the most important of them certainly being due to cutting artefacts. They are the consequence of the nature of vitreous material and the fact that vitreous sections cannot be floated on a liquid as is the case for plastic sections cut at room temperature. The aim of the present work has been to improve our understanding of the cutting process and of cutting artefacts, thus finding optimal conditions to minimise or prevent these artefacts. An improved model of the cutting process and redefinitions of cutting artefacts are proposed. Results obtained with CEMOVIS under these conditions are presented and compared with results obtained with conventional methods.

1.48 and 1.84 µm thulium emissions in monoclinic KGd(WO4)2 single crystals

By exciting at 788 nm, we have characterized the near infrared emissions of trivalent thulium ions in monoclinic KGd(WO4)2 single crystals at 1.48 and 1.84 mm as a function of dopant concentration from 0.1% to 10% and temperature from 10 K to room temperature. We used the reciprocity method to calculate the maximum emission cross-section of 3.0310220 cm2 at 1.838 mm for the polarization parallel to the Nm principal optical direction. These results agrees well with the experimental data. Experimental decay times of the 3H4!3F4 and 3F4!3H6 transitions have been measured as a function of thulium concentration.

Role of basic calcium phosphate crystals in osteoarthritis

L'arthrose est une maladie dégénérative des articulations due à une dégradation progressive du cartilage. La calcification de l'articulation (essentiellement due à des dépôts de cristaux de phosphate de calcium basique -cristaux BCP-) est une caractéristique de cette maladie. Cependant, le rôle des cristaux BCP reste à déterminer. Nous avons tout d'abord déterminé en utilisant des cultures primaires de chondrocytes que les cristaux de BCP induisaient la production de la cytokine IL-6, via une signalisation intracellulaire implicant les kinase Syk, PI3 et Jak et Stat3. Les cristaux de BCP induisent également la perte de protéoglycanes et l'expression de IL-6 dans des explants de cartlage humain et ces deux effets peuvent être bloqués par un inhibiteur de IL-6, le Tocilizumab. Par ailleurs, nous avons trouvé que l'IL-6 ajouté à des chondrocytes, favorisait la formation de cristax de BCP et augmentait l'expression de gènes impliqués dans le processus de minéralisation : Ank (codant pour un transporteur de pyrophooshate), Annexin5 (codant pour un canal calcique) et Pit-1 (codant pour un transporteur de phoshate). In vivo, les cristaux de BCP injectés dans l'articulation de souris induisent une érosion du cartilage. Dans un modèle murin d'arthrose du genou induit par ménisectomie, nous avons observé la formation progressive de cristaux de BCP. Fait intéressant, la présence de ces cristaux dans l'articulation précédait la destruction du cartilage. Un agent susceptible de bloquer les calcifications tel que le sodium thiosulfate (STS), administré à des souris ménisectomisées, inhibait le dépôt intra-articulaire de ces cristaux ainsi que l'érosion du cartilage. Nous avons identifié ainsi un cercle vicieux dans l'arthrose, les cristaux induisant l'interleukine-6 et l'interleukine-6 induisant la formation de ces cristaux. Nous avons étudié si on pouvait bloquer cette boucle cristaux de BCP-IL6 soit par des agents décalcifiants, soit par des inhibiteurs d'IL-6. In vitro, des anticorps anti IL- 6 ou des inhibiteurs de signalisation, inhibaient significativement IL-6 et la minéralisation induite par IL-6. De même le STS inhibait la formation de ces cristaux et la production de l'IL-6. Tout récemment, nous avons trouvé que des inhibiteurs de la xanthine oxidoréductase étaient aussi capables d'inhiber à la fois la production d'IL-6 et la minéralization des chondrocytes. Finalement, nous avons pu exclure un rôle du système IL-1 dans le modèle d'arthrose induite par ménisectomie, les souris déficientes pour IL-1a/ß, MyD88 et l'inflammasome NLRP3 n'étant pas protégées dans ce modèle d'arthrose. L'ensemble de nos résultats montre que les cristaux BCP sont pathogéniques dans l'arthrose et qu'un inhibiteur de minéralisation tel que le STS ou un inhibiteur de l'interleukine-6 constitueraient des nouvelles thérapies pour l'arthrose. -- Osteoarthritis (OA), the most common degenerative disorder of the joints, results from an imbalance between the breakdown and repair of the cartilage and surrounding articular structures. Joint calcification (essentially due to basic calcium phosphate (BCP) crystal deposition) is a characteristic feature of OA. However, the role of BCP crystal deposition in the pathogenesis of OA remains unclear[1][1]. We first demonstrated that in primary murine chondrocytes exogenous BCP crystals led to IL-6 up-modulation and that BCP crystal signaling pathways involved Syk and PI3 kinases, and also gp130 associated molecules, Jak2 and Stat3. BCP crystals also induced proteoglycan loss and IL-6 expression in human cartilage expiants, (which were significantly reduced by an IL-6 inhibitor). In addition, we found that in chondrocytes exogenous IL-6 promoted calcium-containing crystal formation and up- regulation of genes codifying for proteins involved in the calcification process: the inorganic pyrophosphate transport channel Ank, the calcium channel Annexinö and the sodium/phosphate cotransporter Piti. In vivo, BCP crystals injected into murine knee joints induced cartilage erosion. In the menisectomy model, increasing deposits, identified as BCP crystals, were progressively observed around the joint before cartilage erosion. These deposits strongly correlated with cartilage degradation and IL-6 expression. These results demonstrated that BCP crystals deposition and IL-6 production are mutually reinforcing in the osteoarthritic pathogenic process. We then investigated if we could block the BCP-IL6 loop by either targeting IL-6 production or BCP crystal deposits. Treatment of chondrocytes with anti-IL-6 antibodies or inhibitors of IL-6- signaling pathway significantly inhibited IL-6-induced crystal formation. Similarly, sodium thiosulfate (STS), a well-known systemic calcification inhibitor, decreased crystal deposition as well as HA-induced IL-6 secretion in chondrocytes and, in vivo, it decreased crystal deposits size and cartilage erosion in menisectomized knees. Interestingly, we also found that xanthine-oxidoreductase (XO) inhibitors inhibited both IL-6 production and calcium crystal depositis in chondrocytes. We began to unravel the mechanisms involved in this coordinate modulation of IL-6 and mineralization. STS inhibited Reactive Oxygen Species (ROS) generation and we are currently investigating whether XO represents a major source of ROS in chondrocyte mineralization. Finally, we ruled out that IL-1 activation/signaling plays a role in the murine model of OA induced by menisectomy, as IL-1a/ß, the IL-1 R associated molecule MyD88 and NLRP3 inflammasome deficient mice were not protected in this model of OA. Moreover TLR-1, -2, -4,-6 deficient mice had a phenotype similar to that of wild-type mice. Altogether our results demonstrated a self-amplification loop between BCP crystals deposition and IL-6 production, which represents an aggravating process in OA pathogenesis. As currently prescribed OA drugs are addressing OA symptoms,our results highlight a potential novel treatment strategy whereby inhibitors of calcium- containing crystal formation and IL-6 could be combined to form the basis of a disease modifying treatment and alter the course of OA.

1.84 micron emission of Tm3+ sensitized by Yb3+ ions in monoclinic KGd(WO4)2 single crystals

By exciting at 940 nm, we have characterized the 1.84 m near infrared emission of trivalent thulium ions in Yb3+, Tm3+:KGd WO4 2 single crystals as a function of the dopant concentration and temperature, from 10 K to room temperature. An overall 3H6 Stark splitting of 470 cm−1 for the Tm3+ ions in the Yb3+, Tm3+:KGd WO4 2 was obtained. We also studied the blue emission at 476 nm Tm3+ and the near infrared emissions at 1.48 m Tm3+ and 1 m Yb3+ as a function of the dopant concentration. Experimental decay times of the 1G4, 3H4, and 3F4 Tm3+ and 2F5/2 Yb3+ excited states have been measured as a function of Yb3+ and Tm3+ ion concentrations. For the 3F4 →3H6 transition of Tm3+ ions, we used the reciprocity method to calculate the maximum emission cross section of 3.07 10−20 cm2 at 1.84 m for the polarization parallel to the Nm principal optical direction.

Phase behavior and rheological analysis of reverse liquid crystals and W/I2, W/H2 gel emulsions using an amphiphilic block copolymer.

This article reports the phase behavior determi- nation of a system forming reverse liquid crystals and the formation of novel disperse systems in the two-phase region. The studied system is formed by water, cyclohexane, and Pluronic L-121, an amphiphilic block copolymer considered of special interest due to its aggregation and structural proper- ties. This system forms reverse cubic (I2) and reverse hexagonal (H2) phases at high polymer concentrations. These reverse phases are of particular interest since in the two-phase region, stable high internal phase reverse emulsions can be formed. The characterization of the I2 and H2 phases and of the derived gel emulsions was performed with small-angle X-ray scattering (SAXS) and rheometry, and the influence of temperature and water content was studied. TheH2 phase experimented a thermal transition to an I2 phase when temperature was increased, which presented an Fd3m structure. All samples showed a strong shear thinning behavior from low shear rates. The elasticmodulus (G0) in the I2 phase was around 1 order of magnitude higher than in theH2 phase. G0 was predominantly higher than the viscousmodulus (G00). In the gel emulsions,G0 was nearly frequency-independent, indicating their gel type nature. Contrarily to water-in-oil (W/O) normal emulsions, in W/I2 and W/H2 gel emulsions, G0, the complex viscosity (|η*|), and the yield stress (τ0) decreased with increasing water content, since the highly viscous microstructure of the con- tinuous phase was responsible for the high viscosity and elastic behavior of the emulsions, instead of the volumefraction of dispersed phase and droplet size. A rheological analysis, in which the cooperative flow theory, the soft glass rheology model, and the slip plane model were analyzed and compared, was performed to obtain one single model that could describe the non-Maxwellian behavior of both reverse phases and highly concentrated emulsions and to characterize their microstructure with the rheological properties.

NMR in Crystals and Powders of Topazes with Different Colours

The present work is a part of the large project with purpose to investigate microstructure and electronic structure of natural topazes using NMR method. To reach this task we determined the relative contents of fluorine and hydrogen in crystals blue, colorless, wine and wine irradiated topazes. Then we determined the electric field gradients in site of aluminium atoms by NMR method, calculated EFG using ab initio method, and measured relaxation time dependence on heating temperature for blue, colorless, Swiss blue and sky blue topazes. Nuclear magnetic resonance (NMR) is an effective method to investigate the local structure in the crystal. The NMR study of the single crystal gives detailed information especially about the local crystal structure. As a result of this work we have received practical data, which is possible to use in future for making personal dosimetry and for preparation of mullite, which is widely used in traditional and advanced ceramic materials.

Membrane proteins: functional and structural studies using reconstituted proteoliposomes and 2-D crystals

Reconstitution of membrane proteins into lipid bilayers is a powerful tool to analyze functional as well as structural areas of membrane protein research. First, the proper incorporation of a purified membrane protein into closed lipid vesicles, to produce proteoliposomes, allows the investigation of transport and/or catalytic properties of any membrane protein without interference by other membrane components. Second, the incorporation of a large amount of membrane proteins into lipid bilayers to grow crystals confined to two dimensions has recently opened a new way to solve their structure at high resolution using electron crystallography. However, reconstitution of membrane proteins into functional proteoliposomes or 2-D crystallization has been an empirical domain, which has been viewed for a long time more like "black magic" than science. Nevertheless, in the last ten years, important progress has been made in acquiring knowledge of lipid-protein-detergent interactions and has permitted to build upon a set of basic principles that has limited the empirical approach of reconstitution experiments. Reconstitution strategies have been improved and new strategies have been developed, facilitating the success rate of proteoliposome formation and 2-D crystallization. This review deals with the various strategies available to obtain proteoliposomes and 2-D crystals from detergent-solubilized proteins. It gives an overview of the methods that have been applied, which may be of help for reconstituting more proteins into lipid bilayers in a form suitable for functional studies at the molecular level and for high-resolution structural analysis.

Emission, kinetic and magnetic phenomena in rare-earth and transition metal doped ZnSe single crystals

In this work emission, optical, electrical and magnetic properties of the d- and f- elements doped zinc selenide crystals were investigated within a wide temperature range. Doping was performed in various technological processes: during the growth by chemical vapor transport method; by thermal diffusion from the Bi or Zn melt. Concentration of the doping impurity in the crystals was controlled by amount of the dopant in the source material or by its concentration in the doping media. Special interest in the work was paid to the influence of the different concentrations of Cr and Yb impurities on ZnSe crystals’ properties, correlations between observed effects and similarities with the Ni, Mn and Gd dopants are analysed. Possibility of formation of the excitons bound to the doping d-ions was shown. In contrast to this, it was observed that f-elements do not bound excitons, but prevent formation of excitons bound to some uncontrolled impurities. A mechanism of Cr doping impurity interaction with background impurities and zinc selenide structural defects was proposed based on experimental data. An assumption about resonant energy transfer between double charged chromium ions and complexes based on crystals’ vacancy defects was made. A correlation between emission and magnetic properties of the d- ions doped samples was established. Based on this correlation a mechanism explaining the concentration quench of the emission was proposed. It was found that f-ions bind electrically active shallow and deep donor and acceptor states of background impurity to electrically neutral complexes. This may be observed as “purification” of ZnSe crystals by doping with the rare-earth elements, resulting i tendency of the properties of f-ion doped crystals to the properties of intrinsic crystals, but with smaller concentration of uncontrolled native and impurity defects. A possible interpretation of this effect was proposed. It was shown that selenium substituting impurities decrease efficiency of the Yb doping. Based on this experimental results an attempt to determine ytterbium ion surroundings in the crystal lattice was made. It was shown that co-doping of zinc selenide crystals with the d- and f- ions leads to the combination of the impurities influence on the material’s properties. On the basis of obtained data an interaction mechanism of the d- and f-elements co-dopants was proposed. Guided by the model of the ytterbium ion incorporation in the selenide sublattice of the ZnSe crystals, an assumption about stabilization of single charged chromium ions in the zinc sublattice crystal nodes, by means of formation of the local charge compensating clusters, was made.

An experimental investigation of dechanneling in copper single crystals

This investigation comprises a comparison of experimental and theoretical dechanneling of MeV protons in copper single crystals. Dechanneling results when an ion's transverse energy increases to the value where the ion can undergo small impact parameter collisions with individual atoms. Depth dependent dechanneling rates were determined as functions of lattice temperature, ion beam energy and crystal axis orientation. Ion beam energies were IMeV and 2MeV,temperatures ranged from 35 K to 280 K and the experiment was carried out along both the (lOa) and <110) axes. Experimental data took the form of aligned and random Rutherford backscattered energy spectra. Dechanneling rates were extracted from these spectra using a single scattering theory that took explicit account of the different stopping powers experienced by channeled and dechanneled ions and also included a correction factor to take into account multiple scattering effects along the ion's trajectory. The assumption of statistical equilibrium and small angle scattering of the channeled ions allows a description of dechanneling in terms of the solution of a diffusion like equation which contains a so called diffusion function. The diffusion function is shown to be related to the increase in average transverse energy. Theoretical treatments of increase in average transverse energy due to collisions of projectiles with channel electrons and thermal perturbations in the lattice potential are reviewed. Using the diffusion equation and the electron density in the channel centre as a fitting parameter dechanneling rates are extracted. Excellent agreement between theory and experiment has been demonstrated. Electron densities determined in the fitting procedure appear to be realistic. The surface parameters show themselves to be good indicators of the quality of the crystal.

Brillouin spectroscopy : measurement of elastic and photoelastic constants of some alkali holide crystals

The assembly and testing of apparatus for the measurement of elastic and photoelastic constants by Brillouin scattering, using a Fabry-Perot interferometer and with argon ion laser excitation is described. Such measurements are performed on NaCI, KBr and LiF using the A = 488.0 nm laser line. The elastic constants obtained here are in very good agreement with the ultrasonic data for all three materials. The discrepancy between ultrasonic and hypersonic sound velocities which was reported by some authors for KBr and LiF is not confirmed, and the elastic constants obtained for LiF are the most accurate to date. Also, the present photoelastic constants are in good agreement with the data obtained by ultrasonic techniques for all three crystals. The results for the KBr and LiF crystals constitute the first set of photoelastic constants obtained for these materials by Brillouin spectroscopy. Our results for LiF are the best available to date.

On the equation of state and atomic mean square displacement of crystals

We have presented a Green's function method for the calculation of the atomic mean square displacement (MSD) for an anharmonic Hamil toni an . This method effectively sums a whole class of anharmonic contributions to MSD in the perturbation expansion in the high temperature limit. Using this formalism we have calculated the MSD for a nearest neighbour fcc Lennard Jones solid. The results show an improvement over the lowest order perturbation theory results, the difference with Monte Carlo calculations at temperatures close to melting is reduced from 11% to 3%. We also calculated the MSD for the Alkali metals Nat K/ Cs where a sixth neighbour interaction potential derived from the pseudopotential theory was employed in the calculations. The MSD by this method increases by 2.5% to 3.5% over the respective perturbation theory results. The MSD was calculated for Aluminum where different pseudopotential functions and a phenomenological Morse potential were used. The results show that the pseudopotentials provide better agreement with experimental data than the Morse potential. An excellent agreement with experiment over the whole temperature range is achieved with the Harrison modified point-ion pseudopotential with Hubbard-Sham screening function. We have calculated the thermodynamic properties of solid Kr by minimizing the total energy consisting of static and vibrational components, employing different schemes: The quasiharmonic theory (QH), ).2 and).4 perturbation theory, all terms up to 0 ().4) of the improved self consistent phonon theory (ISC), the ring diagrams up to o ().4) (RING), the iteration scheme (ITER) derived from the Greens's function method and a scheme consisting of ITER plus the remaining contributions of 0 ().4) which are not included in ITER which we call E(FULL). We have calculated the lattice constant, the volume expansion, the isothermal and adiabatic bulk modulus, the specific heat at constant volume and at constant pressure, and the Gruneisen parameter from two different potential functions: Lennard-Jones and Aziz. The Aziz potential gives generally a better agreement with experimental data than the LJ potential for the QH, ).2, ).4 and E(FULL) schemes. When only a partial sum of the).4 diagrams is used in the calculations (e.g. RING and ISC) the LJ results are in better agreement with experiment. The iteration scheme brings a definitive improvement over the).2 PT for both potentials.

Some electrical properties of semi-conductor crystals / |nPhyu Phyu Khin. -- 260 St. Catharines, Ont. : [s. n.],

SiC and AtB 12 have been prepared and their resistivities and Hall voltages measured. The resistivities and Hall voltages were measured by the Van der Pauw's method, using spring loaded tungsten contacts. In this method, the major requirement is to have samples of plane parallel surfaces of arbitrary shape with four small contacts at the circumference. Similar measurements were made with a number of SiC crystals obtained from the Norton Research Corporation (Canada)-Ltd., Carolina Aluminum Co., Exolon Co. and Carborundum Co. It was found that resistivity, carrier concentration and mobility of ions depend on the type of impurity. AtB 12 was prepared from the melt containing At and B in the ratio of 4:1. They formed amber-colour pseudo tetragonal crystals. As the crystals obtained were small for electrical measurements, hot pressed lumps have been used to measure their resistivity.