930 resultados para rare-earth compounds


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Es wird eine Reihe von dimeren Seltenerdhydriden der Zusammensetzung [Ln(C5Me4NCMe2R)(THF)(H)]2 mit Ln= Y,Tb,Er,Lu und R= Me,Et auf ihre Eigenschaften als Polymerisationsinitiatoren untersucht.Die kontrollierte Polymerisation von Styrol ist nach der Bildung der Monoinsertionsprodukte von 1-Olefinen möglich. Dabei ist die Menge des im System verbleibenden THF von entscheidender Bedeutung. Die Insertion des ersten Styrolmoleküls verläuft selektiv sekundär.Es wird eine Korrelation der Polymerisationsgeschwindigkeit mit dem Ionenradius des verwendeten Metalls beobachtet.Die Erzeugung von Blockcopolymeren aus Styrol und tert.-Butylacrylat sowie anderen polaren Monomeren ist auf diesem Weg möglich und wird untersucht. Während die Länge des Polystyrolblocks eingestellt werden kann, verläuft die Polymerisation des Acrylats unkontrolliert. Es bilden sich Blockcopolymere mit einem Blocklängenverhältnis von etwa 1:1sowie Homopoly(tert.-Butylacrylat).Darüber hinaus wird das Verhalten der genannten Hydride sowie mehrerer anderer Seltenerdkompexe (u. a. mit Schiff-Base-Liganden) in der Polymerisation von rac.-beta-Butyrolacton untersucht. Die Hydride polymerisieren rac.-beta-Butyrolacton zu Polymeren mit Molekulargewichten von 10000-20000 g/mol. Gelbildung und Umesterungsreaktionentreten auf. Unter Kühlung ist eine bessere Kontrolle der Reaktion möglich. Die erhaltenen Polymere weisen eine syndiotaktisch angereicherte Mikrostruktur auf.Die Synthese der Schiff-Base-Komplexe erfolgt durch Umsetzung von R(-)-2,2'-Bis(6-tert.-butyl-4-ethylsalicylidenimin)-1,1'-binaphthyl ('LigH2') bzw. (1R,2R)-(-)-1,2-Cyclohexandiamino-N,N'-bis(3,5-di-tert.-butylsalicyliden)('(R,R)-Jacobsen-Ligand') mit Y(N(SiHMe2)2)3(THF)2. Die resultierenden Verbindungen sowie Y(CH2(SiMe3))3(THF)2 sind Initiatoren für die Polymerisation von rac.-beta-Butyrolacton und Lactid. Es wird keine kontrollierte Polymerisation beobachtet. Mit dem Schiff-Base-KomplexLigY(N(SiHMe2)2)(THF) wird bei der Polymerisation von rac.-beta-Butyrolacton eine syndiotaktische Anreicherung von bis zu 75 % s-Diaden erreicht.

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In this work the growth and the magnetic properties of the transition metals molybdenum, niobium, and iron and of the highly-magnetostrictive C15 Laves phases of the RFe2 compounds (R: Rare earth metals: here Tb, Dy, and Tb{0.3}Dy{0.7} deposited on alpha-Al2O3 (sapphire) substrates are analyzed. Next to (11-20) (a-plane) oriented sapphire substrates mainly (10-10) (m-plane) oriented substrates were used. These show a pronounced facetting after high temperature annealing in air. Atomic force microscopy (AFM) measurements reveal a dependence of the height, width, and angle of the facets with the annealing temperature. The observed deviations of the facet angles with respect to the theoretical values of the sapphire (10-1-2) and (10-11) surfaces are explained by cross section high resolution transmission electron microscopy (HR-TEM) measurements. These show the plain formation of the (10-11) surface while the second, energy reduced (10-1-2) facet has a curved shape given by atomic steps of (10-1-2) layers and is formed completely solely at the facet ridges and valleys. Thin films of Mo and Nb, respectively, deposited by means of molecular beam epitaxy (MBE) reveal a non-twinned, (211)-oriented epitaxial growth as well on non-faceted as on faceted sapphire m-plane, as was shown by X-Ray and TEM evaluations. In the case of faceted sapphire the two bcc crystals overgrow the facets homogeneously. Here, the bcc (111) surface is nearly parallel to the sapphire (10-11) facet and the Mo/Nb (100) surface is nearly parallel to the sapphire (10-1-2) surface. (211)-oriented Nb templates on sapphire m-plane can be used for the non-twinned, (211)-oriented growth of RFe2 films by means of MBE. Again, the quality of the RFe2 films grown on faceted sapphire is almost equal to films on the non-faceted substrate. For comparison thin RFe2 films of the established (110) and (111) orientation were prepared. Magnetic and magnetoelastic measurements performed in a self designed setup reveal a high quality of the samples. No difference between samples with undulated and flat morphology can be observed. In addition to the preparation of covering, undulating thin films on faceted sapphire m-plane nanoscopic structures of Nb and Fe were prepared by shallow incidence MBE. The formation of the nanostructures can be explained by a shadowing of the atomic beam due to the facets in addition to de-wetting effects of the metals on the heated sapphire surface. Accordingly, the nanostructures form at the facet ridges and overgrow them. The morphology of the structures can be varied by deposition conditions as was shown for Fe. The shape of the structures vary from pearl-necklet strung spherical nanodots with a diameter of a few 10 nm to oval nanodots of a few 100 nm length to continuous nanowires. Magnetization measurements reveal uniaxial magnetic anisotropy with the easy axis of magnetization parallel to the facet ridges. The shape of the hysteresis is depending on the morphology of the structures. The magnetization reversal processes of the spherical and oval nanodots were simulated by micromagnetic modelling and can be explained by the formation of magnetic vortices.

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Ausgehend von der Entdeckung der reversiblen Strukturierung mittels Rastersondenmethoden im Phasensystem Na2O/V2O5/P2O5 wurden im Rahmen dieser Arbeit zwei Ansatzpunkte verfolgt. Einerseits sollten mittels der Schmelzflußelektrolyse einige bereits existierende niederdimensionale Molybdänbronzen mit bekannten elektronischen Übergängen in ausreichend großen Kristallen gezüchtet werden, um sie auf ihre Strukturierungseigenschaften hin zu untersuchen. Gleichzeitig sollte durch Variation versucht werden, neue, bisher unbekannte Bronzen oder reduzierte Oxide zu synthetisieren und charakterisieren. Der zweite Schwerpunkt dieser Arbeit lag in der Synthese und Charakterisierung von Oxidchalkogeniden, bestehend aus einem Seltenerdmetall und einem 3d-Metall von Titan bis hin zu den mittleren Übergangsmetallen. Diese Verbindungen können durch die Kombination der jeweiligen Eigenschaften der oxidischen und chalkogeniden Teilstrukturen völlig neue elektronische und/oder magnetische Eigenschaften aufweisen. Mögliche auftretende Phasenübergänge sind wiederum für Strukturierungsversuche interessant. Die zu den Oxidchalkogeniden durchgeführten Untersuchungen ergaben im Phasensystem Ln/Ti/S/O (Ln = Lanthanoide) insgesamt sechs Verbindungen. Zwei von ihnen, La8Ti9S24O4 und Nd20Ti11S44O6, besitzen als gemeinsames Strukturelement tetranukleare [Ti4(u4-S)2(u2-O)4]-Cluster, bestehend aus vier miteinander über gemeinsame Flächen kondensierte TiS4O2-Oktaeder. Die Titanpositionen innerhalb der Cluster sind mit Ti+3-Ionen besetzt. Beide Verbindungen weisen in einem Temperaturbereich zwischen 150 K und 250 K eine deutlich ausgeprägte Hysterese der magnetischen Suszeptibilität auf, die sich im Falle von La8Ti9S24O4 auf einen Jahn-Teller-Übergang zurückführen läßt. Daneben konnte erstmals eine Serie oxidisch/sulfidisch gemischter Ruddlesden-Popper-Verbindungen mit Ln2Ti2S2O5 (Ln = Pr, Nd, Sm) synthetisiert und charakterisiert werden. Titan liegt als vierwertiges Ion in aus TiSO5-Oktaedern gebildeten Perowskit-Doppelschichten vor. Die neunfach koordinierten Positionen sind mit den Seltenerdmetallionen gefüllt, die zwölffach koordinierten Lagen sind unbesetzt. Bei dem sechsten erhaltene Titanoxidsulfid, La4TiS6.5O1.5, handelt es sich um einen Halbleiter mit einer Bandlücke von etwa 2 eV. Weiterhin gelang es, die Serie Ln2M3S2O8 (Ln = La, Ce, Pr, Nd, Sm; M = Nb, Ta) zu synthetisieren und in ihren physikalischen Eigenschaften zu charakterisieren. Es handelt sich ausnahmslos um Halbleiter mit Bandlücken zwischen E=0.125 eV für La2Nb3S2O8 und E=0.222 eV für Pr2Ta3S2O8. Die Struktur der Oxidsulfide Ce2Ta3S2O8, Pr2Ta3S2O8, Nd2Nb3S2O8 sowie Sm2Ta3S2O8 weist im Gegensatz zu den anderen Verbindungen eine Fehlordnung eines der beiden kristallographisch unabhängigen Nb- bzw. Ta-Atome auf. Daraus resultiert eine Symmetrieerniedrigung von Pnma zu Pbam. Der Einsatz von Europium führte zu einer neuen Modifikation des bronzoiden Oxids EuTa2O6, in der das Europium als Eu+2 vorliegt, wie 151Eu-Mößbauer-Untersuchungen bestätigten. Vor der Durchführung der Kristallzüchtungen mittels der Schmelzflußelektrolysen mußten die benutzen Öfen und Elektrolysezellen geplant und angefertigt werden. Es konnten dann verschiedene blaue, rote und violette Moybdänbronzen (sowie La2Mo2O7) in Kristallen bis zu 25 mm Länge dargestellt werden. Ferner gelang die erste exakte Einkristalluntersuchung der roten Bronze Rb0.33MoO3. Sie verfügt über die höchste d-Elektronen-Lokalisierungsrate aller bekannten roten Bronzen. Die erhaltenen Bronzen wurden teilweise von der Arbeitsgruppe Fuchs, Physikalisches Institut der Westfälischen Wilhelms-Universität Münster, auf ihre Nanostrukturierbarkeit hin untersucht. Dabei ergaben sich zwei verschiedene Strukturierungsmechanismen. Sind es im Fall der blauen Alkalimetall-Molybdänbronzen ausschließlich Lochstrukturen, die entstehen, handelt es sich bei La2Mo2O7 um Hügelstrukturen. Mittels der Schmelzflußelektrolyse konnte auch das gemischtvalente Alkalimetall-Eisenmolybdat NaFe2(MoO4)3 synthetisiert werden. Daneben gelang die Synthese dreier weiterer Alkalimetall-Eisenmolybdate: Cs2Fe2(MoO4)3, NaFe4(MoO4)5 und CsFe5(MoO4)7. Bis auf Cs2Fe2(MoO4)3, welches in der bekannten Langbeinit-Struktur kristallisiert, handelt es sich bei den übrigen Alkalimetall-Eisenmolybdaten um völlig neuartige Käfigverbindungen, bzw. bei CsFe5(MoO4)7 um eine Tunnelverbindung. Die Kristallstrukturen beinhalten kondensierte FeO6-Oktaeder. Im Fall von NaFe2(MoO4)3 lassen sich [Fe2O10]-Einheiten, für NaFe4(MoO4)5 [Fe2O10]- sowie [Fe3O14]-Einheiten, und für CsFe5(MoO4)7 [Fe4O18]-Baueinheiten beobachten. Die Positionen der Fe+2- und Fe+3-Atome in NaFe4(MoO4)5 wurden mit Hilfe einer 57Fe-Mößbauer-Untersuchung bestimmt.

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Metal-rich sediments were found in the West Philippine Basin at DSDP sites 291 (located about 500 km SW of the Philippine Ridge or Central Basin Fault) and 294/295 (located about 580 km NE of the Philippine Ridge). In both cases the metalliferous deposits constitute a layer, probably Eocene in age, resting directly above the basaltic basement at the bottom of the sediment column. The chemistry of the major (including Fe and Mn) and trace elements (including trace metals, rare earth elements, U and Th) suggest a strong similarity of these deposits to metalliferous deposits produced by hydrothermal activity at oceanic spreading centers. Well-crystallized hematite is a major component of the metal-rich deposits at site 294/295. We infer that the Philippine Sea deposits were formed at some spreading center by hydrothermal processes of metallogenesis, similar to processes occurring at oceanic spreading centers. A locus for their formation might have been the Philippine Ridge (Central Basin Fault), probably an extinct spreading center. We conclude that metallogenesis of the type occurring at oceanic spreading centers can take place also in marginal basins. This has implications for the origin of metal deposits found in some ophiolite complexes, such as those in Luzon (Philippines), which may represent fragments of former marginal basins rather than of oceanic lithosphere.

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The concentrations of rare earth elements (REEs) in seawater display systematic variations related to weathering inputs, particle scavenging and water mass histories. Here we investigate the REE concentrations of water column profiles in the Atlantic sector of the Southern Ocean, a key region of the global circulation and primary production. The data reveal a pronounced contrast between the vertical profiles in the Antarctic Circumpolar Current (ACC) and those to the south of the ACC in the Weddell Gyre (WG). The ACC profiles exhibit the typical increase of REE concentrations with water depth and a change in the shape of the profiles from near linear for the light REEs to more convex for the heavy REEs. In contrast, the WG profiles exhibit high REE concentrations throughout the water column with only the near surface samples showing slightly reduced concentrations indicative of particle scavenging. Seawater normalised REE patterns reveal the strong remineralisation signal in the ACC with the light REEs preferentially removed in surface waters and the mirror image pattern of their preferential release in deep waters. In the WG the patterns are relatively homogenous reflecting the prevalence of well-mixed Lower Circumpolar Deep Water (LCDW) that follows shoaling isopycnals in the region. In the WG particle scavenging of REEs is comparatively small and limited to the summer months by light limitation and winter sea ice cover. Considering the surface water depletion compared to LCDW and that the surface waters of the WG are replaced every few years, the removal rate is estimated to be on the order of 1 nmol/m3/yr for La and Nd. The negative cerium anomalies observed in deep waters are some of the strongest found globally with only the deepest waters in parts of the Pacific having stronger anomalies. These deep waters have been isolated from fresh continental REE inputs during their long journey through the abyssal Indo-Pacific ocean and suggests that the high REE concentrations found in the ACC and WG reflect contributions from old deep waters.

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AEC Report No. TID-3029.

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China’s behavior as a near-monopolist of rare earths has come under increasing scrutiny in recent years. This thesis first examines the underlying causes behind China’s rise to the status of rare-earths near-monopolist, including government support; lax environmental controls; unregulated production; and relatively low costs compared to the rest of the world. Second, the thesis also examines the preeminent international and domestic factors influencing China’s behavior as a near-monopolist of rare earths. International factors include international demand; international trade pressure; international price-setting authority issues; and geopolitical factors. I next identify domestic factors that exert influence over China’s rare earths-related behavior: environmental protection; rare earth resource protection; rare earths industry regulation; and protecting and aiding China’s domestic rare earths industry. The study concludes with a synthesis of the factors influencing China’s rare-earths-related behavior in the overall context of support and direction by China’s Central Government.

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We present the results of electrical resistivity, magnetic susceptibility, specific heat and x-ray absorption spectroscopy measurements in Tb1−xYxRhIn5 (x = 0.00, 0.15, 0.4.0, 0.50 e 0.70) single crystals. Tb1−xYxRhIn5 is an antiferromagnetic AFM compound with ordering temperature TN ≈ 46 K, the higher TN within the RRhIn5 serie (R : rare earth). We evaluate the physical properties evolution and the supression of the AFM state considering doping and Crystalline Electric Field (CEF) effects on magnetic exchange interaction between Tb3+ magnetic ions. CEF acts like a perturbation potential, breaking the (2J + 1) multiplet s degeneracy. Also, we studied linear-polarization-dependent soft x-ray absorption at Tb M4 and M5 edges to validate X-ray Absorption Spectroscopy as a complementary technique in determining the rare earth CEF ground state. Samples were grown by the indium excess flux and the experimental data (magnetic susceptibility and specific heat) were adjusted with a mean field model that takes account magnetic exchange interaction between first neighbors and CEF effects. XAS experiments were carried on Total Electron Yield mode at Laborat´onio Nacional de Luz S´ıncrotron, Campinas. We measured X-ray absorption at Tb M4,5 edges with incident polarized X-ray beam parallel and perpendicular to c-axis (E || c e E ⊥ c). The mean field model simulates the mean behavior of the whole system and, due to many independent parameters, gives a non unique CEF scheme. XAS is site- and elemental- specific technique and gained the scientific community s attention as complementary technique in determining CEF ground state in rare earth based compounds. In this work we wil discuss the non conclusive results of XAS technique in TbRhIn5 compounds.

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The Neem tree, the oil of which has a long history of pesticide, fertilizer and medicinal use in India, has been studied extensively for its organic compounds. Here we present a physical, mineralogical and geochemical database resulting from the analyses of two Neem soil profiles (epipedons) in India. Neem tree derivatives are used in the manufacture of a variety of products, from anti-bacterial drugs and insecticides to fertilizers and animal feeds. A preliminary geochemical and mineralogical analysis of Neem soils is made to explore the potential for chemical links between Neem tree derivatives and soils. Physical soil characteristics, including colour, texture and clay mineralogy, suggest the two pedons formed under different hydrological regimes, and hence, are products of different leaching environments, one well-drained site, the other poorly drained. Geochemically, the two Neem soils exhibit similarities, with elevated concentrations of Th and rare earth elements. These elements are of interest because of their association with phosphates, especially monazite and apatite, and the potential link to fertilizer derivatives. Higher concentrations of trace elements in the soils may be linked to nutritional derivatives and to cell growth in the Neem tree.

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Thermoelectric materials are revisited for various applications including power generation. The direct conversion of temperature differences into electric voltage and vice versa is known as thermoelectric effect. Possible applications of thermoelectric materials are in eco-friendly refrigeration, electric power generation from waste heat, infrared sensors, temperature controlled-seats and portable picnic coolers. Thermoelectric materials are also extensively researched upon as an alternative to compression based refrigeration. This utilizes the principle of Peltier cooling. The performance characteristic of a thermoelectric material, termed as figure of merit (ZT) is a function of several transport coefficients such as electrical conductivity (σ), thermal conductivity (κ) and Seebeck coefficient of the material (S). ZT is expressed asκσTZTS2=, where T is the temperature in degree absolute. A large value of Seebeck coefficient, high electrical conductivity and low thermal conductivity are necessary to realize a high performance thermoelectric material. The best known thermoelectric materials are phonon-glass electron – crystal (PGEC) system where the phonons are scattered within the unit cell by the rattling structure and electrons are scattered less as in crystals to obtain a high electrical conductivity. A survey of literature reveals that correlated semiconductors and Kondo insulators containing rare earth or transition metal ions are found to be potential thermoelectric materials. The structural magnetic and charge transport properties in manganese oxides having the general formula of RE1−xAExMnO3 (RE = rare earth, AE= Ca, Sr, Ba) are solely determined by the mixed valence (3+/4+) state of Mn ions. In strongly correlated electron systems, magnetism and charge transport properties are strongly correlated. Within the area of strongly correlated electron systems the study of manganese oxides, widely known as manganites exhibit unique magneto electric transport properties, is an active area of research.Strongly correlated systems like perovskite manganites, characterized by their narrow localized band and hoping conduction, were found to be good candidates for thermoelectric applications. Manganites represent a highly correlated electron system and exhibit a variety of phenomena such as charge, orbital and magnetic ordering, colossal magneto resistance and Jahn-Teller effect. The strong inter-dependence between the magnetic order parameters and the transport coefficients in manganites has generated much research interest in the thermoelectric properties of manganites. Here, large thermal motion or rattling of rare earth atoms with localized magnetic moments is believed to be responsible for low thermal conductivity of these compounds. The 4f levels in these compounds, lying near the Fermi energy, create large density of states at the Fermi level and hence they are likely to exhibit a fairly large value of Seebeck coefficient.

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Fuel cells are electrochemical devices that convert chemical energy into electricity. Due to the development of new materials, fuel cells are emerging as generating clean energy generator. Among the types of fuel cells, categorized according to the electrode type, the solid oxide fuel cells (SOFC) stand out due to be the only device entirely made of solid particles. Beyond that, their operation temperature is relatively high (between 500 and 1000 °C), allowing them to operate with high efficiency. Another aspect that promotes the use of SOFC over other cells is their ability to operate with different fuels. The CeO2 based materials doped with rare earth (TR+3) may be used as alternatives to traditional NiO-YSZ anodes as they have higher ionic conductivity and smaller ohmic losses compared to YSZ, and can operate at lower temperatures (500-800°C). In the composition of the anode, the concentration of NiO, acting as a catalyst in YSZ provides high electrical conductivity and high electrochemical activity of reactions, providing internal reform in the cell. In this work compounds of NiO - Ce1-xEuxO2-δ (x = 0.1, 0.2 and 0.3) were synthesized from polymeric precursor, Pechini, method of combustion and also by microwave-assisted hydrothermal method. The materials were characterized by the techniques of TG, TPR, XRD and FEG-SEM. The refinement of data obtained by X-ray diffraction showed that all powders of NiO - Cex-1EuxO2-δ crystallized in a cubic phase with fluorite structure, and also the presence of Ni. Through the characterizations can be proved that all routes of preparation used were effective for producing ceramics with characteristics suitable for application as SOFC anodes, but the microwave-assisted hydrothermal method showed a significant reduction in the average grain size and improved control of the compositions of the phases

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Rare earth ion doped solid state materials are the most important active media of near-infrared and visible lasers and other photonic devices. In these ions, the occurrence of Excited State Absorptions (ESA), from long lived electronic levels, is commonplace. Since ESA can deeply affect the efficiencies of the rare earth emissions, evaluation of these transitions cross sections is of greatest importance in predicting the potential applications of a given material. In this paper a detailed description of the pump-probe technique for ESA measurements is presented, with a review of several examples of applications in Nd3+, Tm3+ and Er3+ doped materials.

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Luminescence properties of Eu(3+) doped germanate glasses containing either silver or gold nanoparticles (NPs) were investigated for excitation at 405 nm. Enhanced emissions and luminescence quenching of the Eu(3+) transitions in the range from 570 to 720 nm were observed for samples having various concentrations of metallic NPs. Electric-dipole and magnetic-dipole transitions that originate from the Eu(3+) level (5)D(0) exhibit large enhancement due to the presence of the metallic NPs. The results suggest that the magnetic response of rare-earth doped metal-dielectric composites at optical frequencies can be as strong as their electric response due to the confinement of the optical magnetic field. (C) 2010 American Institute of Physics. [doi:10.1063/1.3431347]

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Oxides RNiO(3) (R - rare-earth, R not equal La) exhibit a metal-insulator (MI) transition at a temperature T(MI) and an antiferromagnetic (AF) transition at T(N). Specific heat (C(P)) and anelastic spectroscopy measurements were performed in samples of Nd(1-x)Eu(x)NiO(3), 0 <= x <= 0.35. For x - 0, a peak in C(P) is observed upon cooling and warming at essentially the same temperature T(MI) - T(N) similar to 195 K, although the cooling peak is much smaller. For x >= 0.25, differences between the cooling and warming curves are negligible, and two well defined peaks are clearly observed: one at lower temperatures that define T(N), and the other one at T(MI). An external magnetic field of 9 T had no significant effect on these results. The elastic compliance (s) and the reciprocal of the mechanical quality factor (Q(-1)) of NdNiO(3), measured upon warming, showed a very sharp peak at essentially the same temperature obtained from C(P), and no peak is observed upon cooling. The elastic modulus hardens below T(MI) much more sharply upon warming, while the cooling and warming curves are reproducible above T(MI). Conversely, for the sample with x - 0.35, s and Q(-1) curves are very similar upon warming and cooling. The results presented here give credence to the proposition that the MI phase transition changes from first to second order with increasing Eu doping. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3549615]

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In this work we present a comprehensive study of the spectroscopic and thermo-optical properties of a set of samples with composition xNd(2)O(3)-(5-x)Y(2)O(3-)40CaO-55B(2)O(3) (0 <= x <= 1.0 mol%). Their fluorescence quantum efficiency (eta) values were determined using the thermal lens technique and the dependence on the ionic concentration was analyzed in terms of energy transfer processes, based on the Forster-Dexter model of multipolar ion-ion interactions. A maximum eta = 0.54 was found to be substantially higher than for yttrium aluminoborate crystals and glasses with comparable Nd(3+) content. As for the thermo-optical properties of yttrium calcium borate, they are comparable to other well-known laser glasses. The obtained energy transfer microparameters and the weak dependence of. on the Nd(3+) concentration with a high optimum Nd(3+) concentration put this system as a strong candidate for photonics applications. (C) 2011 American Institute of Physics. [doi:10.1063/1.3567091]