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Given a Gibbs point process $\\P^{\\Psi}$ on $\\R^d$ having a weak enough potential $\\Psi$, we consider the random measures $\\mu_\\la := \\sum_{x \\in \\P^{\\Psi} \\cap Q_\\la} \\xi(x, \\P^{\\Psi} \\cap Q_\\la) \\delta_{x/\\la^{1/d}}$, where $Q_{\\la} := [-\\la^{1/d}/2,\\la^{1/d}/2]^d$ is the volume $\\la$ cube and where $\\xi(\\cdot,\\cdot)$ is a translation invariant stabilizing functional. Subject to $\\Psi$ satisfying a localization property and translation invariance, we establish weak laws of large numbers for $\\la^{-1} \\mu_\\la(f)$, $f$ a bounded test function on $\\R^d$, and weak convergence of $\\la^{-1/2} \\mu_\\la(f),$ suitably centered, to a Gaussian field acting on bounded test functions. The result yields limit laws for geometric functionals on Gibbs point ...

British Library Electronic Table of Contents (United Kingdom)

Abstract A series of compounds with the general formula (La1-xSmx)2Ti2O7 (0-- x --1.0) has been synthesized by a sol-gel method and characterized by XRD, Raman spectroscopy, and scanning electron microscopy (SEM). These compounds are structurally isomorphic to perovskite-type La2Ti2O7 until a substitution rate of x = 0.8. Above this substitution rate (x >-0.8), a biphasic mixture is obtained between the substituted perovskite layered phase and the pyrochlore Sm2Ti2O7 phase. The unusual phosphor (La1-xSmx)2Ti2O7 has been elaborated and its luminescent properties were investigated for low rates of substitution. The emission and excitation spectra were used to study the luminescent properties. The (La1.9Sm0.1)2Ti2O7 powders emit bright red-orange lightunder UV excitation. The emission propert...

International Nuclear Information System (INIS)

High energy ion backscattering analysis in combination with recently-developed resonance scattering analysis is described, with a stress on precise and quantitative oxygen analysis and its successful application to the characterization and quality estimation of high T_c oxide superconductors. Particularly, the present status of high energy ion backscattering analysis, the review of analytical results for YBa_2Cu_3O_7 _- _x, the estimation of composition and crystalline quality of (La_1 _- _xSr_x)_2CuO_4 by 7 MeV alpha particle backscattering analysis are described.

International Nuclear Information System (INIS)

The effect of yttrium substitution at the lanthanum site on the superconducting properties of La_1_-_xY_xO_0_._9F_0_._1FeAs ('x' = 0, 0.10, 0.20, 0.30, 0.50 and 0.60) oxypnictides has been studied. Powder X-ray diffraction studies confirm single phases till x = 0.1 beyond which minor amount of Y_2O_3 is observed. The temperature dependence of resistivity measurements confirm the superconducting transition temperature (T_c) of 34.8 (#+-#0.05) K and corresponding Meissner transition at 34.3 K in the 'x' = 0.3 composition which is higher than that reported for the parent phase (LaO_0_._9F_0_._1FeAs (T_c = 28 K)). Further increase in the concentration of yttrium leads to broadening and suppression of the superconducting transition. The value of H_c_2 at zero temperature is estimated to be about 60.5 T. The Seebeck coefficient (S) shows a negative sign indicating that the major contribution to the conductivity is by electrons. The Hall coefficient ...

International Nuclear Information System (INIS)

In this work, new LaSi3N5:Ce3+ phosphors have been synthesized by solid-state reaction. Rietveld refinement of the crystal structure of La1-xCexSi3N5 reveals that Ce atoms substituted for La atoms occupy 4a crystallographic positions. Broad emission and excitation bands observed were attributed to the transitions between the doublet ground state of the 4f1 configuration and the crystal field components of the 5d1 excited state. At 77 K, the centroid and crystal field splitting ?cfs of the 5d levels of Ce3+ in LaSi3N5:Ce3+ compounds were valuated at 33.4x103 and 11.3x103 cm-1, respectively. The zero-phonon line and the Stokes shift were measured to be 26.0x103 and 5.0x103 cm-1, respectively.

International Nuclear Information System (INIS)

Results of our systematic NMR study in high T_c cuprates are reviewed. The antiferromagnetic spin fluctuations (AFSF) decrease in the order of La_1_._8_5Sr_0_._1_5CuO_4. YBa_2Cu_3O_7 and Tl_2Ba_2CuO_6_+_y. 1/T_1 of "6"3Cu in the CuO_2 plane in the normal state follows essentially a Curie-Weiss law at high temperature and T_1T = const. law at low temperature. The temperature dependence of 1/T_1 and the Knight shift together with their impurity effect in the superconducting state strongly suggest d-wave pairing implying the AFSF to be responsible for the occurrence of superconductivity. From the NQR frequency measurement the density of Cu 3d and O 2p holes decreases and increases, respectively, in the order of La, Y and Tl compounds, which is consistent with the change of AFSF. The relation between T_c and #nu#_Q, and their pressure dependence suggest that there exists and optimum value of the ratio of Cu 3d and O 2p hole density to give a ...