μ +SR studies on cis- and transpolyacetylene

Electronic states and depolarization phenomena are studied for the ⁺ in cis- and transpolyacetylene (CH)_x. Formation of weakly bound muonium-like paramagnetic state is found in cis-(CH)_x at room temperature, while diamagnetic ⁺ state is formed in trans-(CH)_x. The origin of this clear difference might reflect properties of excitation modes in these two-isomers.We acknowledge Dr. J.H. Brewer for enthusiastic discussions on the longitudinal decoupling measurements. This work was supported by the Grant-in-Aid of the Japanese Ministry of Education, Culture and Science.     

Crystallization temperatures of thin Co−Zr amorphous alloy films from electron diffraction

The transformation of amorphous thin alloy films of Co–Zr to the crystalline state was observed with an electron microscope in the diffraction mode. This investigation elucidates the crystallization temperatures,T _x , of thin films as opposed to theT _x presented for thicker samples; usually melt-quenched in the thickness range of 20–50 m. TheT _x of the thin films are compared also with theT _x for sputtered alloys of Co–Zr at 5 m.     

Growth stages of YSZ-buffer layers and YBa2Cu3O7−x thin films on silicon substrates studied by scanning probe microscopy

Scanning probe microscopy has been applied to study various growth stages of YSZ (yttria-stabilized zirconia) buffer layers on silicon and of YBa₂Cu₃O_7–x thin films on YSZ/Si. YSZ buffer layers of 75 nm thickness exhibit a remarkable smooth surface with a rms roughness of about 0.5 nm for a surface area of 5 m×5 m. The subsequent growth of YBa₂Cu₃O_7–x thin films was investigated from nucleation to the formation of growth hills. Screw dislocations were found only in very rare cases.     

Properties of RF sputtered ZnxCd1−xS thin films

Zn _x Cd_1–x S thin films (0x0.20) were prepared using rf sputtering in argon atmosphere and characterized using X-ray diffraction, optical transmission, electrical resistivity and photoconductive decay measurements. The films were found to possess hexagonal structure. The crystallite size and degree of preferential orientation were found to decrease with the increase ofx and to improve upon annealing in vacuum at 250 °C. The transmission edge shifted towards shorter wavelengths with the increase ofx in agreement with the expected shift in the energy band gap. The films were found to exhibit room temperature resistivity in the range 100–1000 cm. The obtained values of long wavelength transmission (70–80%) and minority carrier diffusion length (30 m) are high enough for the application of these films in the field of solar cells.     

Effect of substitution of vanadium on the structure and electrical properties of Bi<Subscript>3.25</Subscript>La<Subscript>0.75</Subscript>Ti<Subscript>3</Subscript>O<Subscript>12</Subscript> thin films

The ferroelectric and dielectric properties of Bi_4-xLa_xTi₃O₁₂ (BLT) and Bi_4-xLa_xTi_2.97V_0.03O₁₂ (BLTV) thin films deposited on (111)Pt/Ti/SiO₂/Si substrates using a chemical solution method were investigated. The BLTV thin films showed a larger remanent polarization (9.6 C/cm²) than the BLT thin films (6.5 C/cm²), while the coercive field for both thin films was nearly the same. The capacitance of the films as a function of a small ac driving field was measured, and the data were processed using Rayleighs law. The results show that the Rayleigh constant of the BLT films was smaller than that of the BLTV films, indicating that the defect concentration was lower in the latter case. The superior ferroelectricity of the BLTV films was attributed to a decrease of both the (001) orientation and the defect concentration. PACS 77.80.Bh; 77.55.+f     

Effect of Multi-Mode Optically Pumped Far-Infrared Laser Cavity on Spectra and Multi-Raman Interaction

Based on semi-classical density matrix theory, the spectral characteristics and multi-Raman interaction of multi-longitudinal-mode CO₂-9R(30) optically pumped cavity NH₃ molecules 67.2 m far-infrared laser were theoretically studied. And with different parameters such as input and output reflection coefficient, length of tube and so on, the rules of multi-Raman interaction and effect on longitudinal structure of 67.2 m far-infrared laser spectrum were also discussed theoretically.     

Composition control and electrical properties of PMN-PT thin films around the morphotropic boundary

We have successfully grown (1-x)Pb(Mg_1/3- Nb_1/3)O₃-xPbTiO₃ (PMN-PT) thin films with x=0.3, 0.35 and 0.4 by pulsed laser deposition. X-ray-diffraction studies reveal that the PMN-PT films grown on La_0.5Sr_0.5CoO₃/LaAlO₃ substrates form epitaxial heterostructures. Composition control and remedial measures to compensate for the lead and magnesium losses due to re-evaporation are demonstrated. As a common feature, the as-grown PMN-PT thin films exhibit a self-poling behavior. Their dielectric constants measured at room temperature vary from 1500 to 2500, depending on the PMN to PT ratios. The pyroelectric coefficient of the films varies from 160 to 300 C/m²K. The piezoelectric coefficient d₃₃ is around 27 pm/V in the as-grown 70/30 films. A comparison of these values with the bulk PMN-PT of same compositions implies that the much-reduced piezoelectric properties in the PMN-PT films are primarily due to a substrate-clamping effect. PACS 77.84.-s; 77.65.-j; 77.80.-e     

Convex delay endomorphisms

In this paper delay equationsx _n+k =f(x _n ,...,x _n+k–1) are considered, where the functionf is supposed to be convex, having a unique point of maximum. It is proved that if there are no stationary solutions then all solutions must diverge. Considering the one parameter familyf =+f and associating to it a family of two dimensional mapsF it is shown that the set of points having bounded orbit underF is homeomorphic to the product of a Cantor set and a circle, and is hyperbolic and stable.     

Muon diffusion in the metal hydrides β-PdHx(x=0.70 and 0.75) and LaNi5H6

We report on zero and transverse fieldSR measurements in LaNi₅H₆ and in-PdH_x (x=0.70 and 0.75) between 16 K and room temperature. The ⁺-depolarization is predominantly caused by the spread in nuclear dipole fields from the protons. Motional averaging is caused by the combined motion of protons and the ⁺. The results are quite unexpected and point to ⁺-trapping within regions of largely immobile hydrogen configurations or to a highly correlated ⁺-proton diffusion. In LaNi₅H₆ a linear change of the second moment with temperature between 20 K and 120 K is indicated.     

Measurement of the refractive index and optical absorption spectra of epitaxial bismuth substituted yttrium iron garnet films at uv to near-ir wavelengths

Refractive-index and optical-absorption spectra of Bi-substituted yttrium iron garnet films, epitaxially grown by liquid-phase epitaxy, have been measured in the spectral regime 0.26 m1.9 m by thin-film interference for 0.52 m and by ellipsometry for0.52 m. The Y_3–x–y Bi _x Pb _y Fe_5–z Pt _z O₁₂ films contain bismuth in the range Ox 1.42, lead in the range 0.01 y0.08 and platinum in the range 0.005<=z0.03. There is satisfactory coincidence between the results from ellipsometry and thin-film interference in the overlapping wavelength region. The materials investigated are the same as reported earlier from this laboratory in ter mof their magnetic and magnetooptic properties.     

How often do simple dynamical processes have infinitely many coexisting sinks?

This work concerns the nature of chaotic dynamical processes. Sheldon Newhouse wrote on dynamical processes (depending on a parameter )x _x+1=T(x _n ; ), wherex is in the plane, such as might arise when studying Poincaré return maps for autonomous differential equations in IR³. He proved that if the system is chaotic there will very often be existing parameter values for which there are infinitely many periodic attractors coexisting in a bounded region of the plane, and that such parameter values would be dense in some interval. The fact that infinitely many coexisting sinks can occur brings into question the very nature of the foundations of chaotic dynamical processes. We prove, for an apparently typical situation, that Newhouse's construction yields only a set of parameter values of measure zero.This research was supported in part by grants from the Air Force Office of Scientific Research AFOSR 81-0217, the Consiglio Nazionale delle Ricerche-Comitato per le Matematiche, and the National Science Foundation DMS 84-19110On leave from: Dipartimento di Matematica G. Castel nuovo Universita di Roma La Sapienza P. le Aldo Moro 5, I-00185 Rome, Italy     

Superconductivity in simple cubic Te—Au alloys produced by ion irradiation

Superconducting simple cubic Te_100–x Au _x films (10<x<90) were produced by He⁺-irradiation at low temperatures as well as at room temperature. After low temperature irradiation the as-irradiated disordered samples forx<60 at % Au are in a semiconducting state which becomes unstable at about 230 K, and then transform into the s.c. superconducting phase. The resistivity of the s.c. phase displays a negative temperature coefficient for residual resistivity values larger than 100 cm. In comparison to splat cooled foils, the s.c. Te—Au phase in the He⁺-irradiated films is more homogeneous. The observed variation of the transition temperature to the superconducting state with Au content is explained as an interaction of the Fermi-surface with several Bragg-planes.     

BRST quantization of a scalar particle in a curved background

The BRST formalism is employed to quantize a scalar particle and interactions with an external scalar field (x ) and vector gauge fieldA (x ) in the background of an arbitrary gravitational field. The second-quantized actions are obtained.     

μSr and vortex pinning in Bi2Sr2Ca1−x Gd x )Cu2O y

We present transverse fieldSR and bulk magnetisation studies on powders of Bi₂Sr₂(Ca_1{itxGd _x )Cu₂O _y for 0x<0.5. We have found that the effective pinning decreases rapidly withx even for values ofx for whichT _c remains unchanged. We have interpreted this decrease in terms of changes in _ab (obtained fromSR) which cause a decrease in vortex-vortex interactions. The field distribution spectra in these superconductors have been obtained using a maximum entropy analysis and are found to agree with the calculations by Harshmanet al.     

Effects of thickness on the infrared optical properties of Ba<Subscript>0.9</Subscript>Sr<Subscript>0.1</Subscript>TiO<Subscript>3</Subscript> ferroelectric thin films

Using infrared spectroscopic ellipsometry (IRSE), the optical properties of the Ba_0.9Sr_0.1TiO₃ (BST) ferroelectric thin films with different film thicknesses on Pt/Ti/SiO₂/Si substrates prepared by a modified sol-gel method have been investigated in the 2.5–12.6 m wavelength range. By fitting the measured ellipsometric parameter ( and ) data with a three-phase model (Air/BST/Pt) and the classical dispersion relation for the BST thin films, the optical constants and thicknesses of the thin films have been obtained. The average thickness of the single layer decreases with increasing film thickness. The refractive index of the BST films decreases with increasing thickness in the wavelength range 2.5–11 m, and increases with increasing thickness in the wavelength range 11–12.6 m. However, the extinction coefficient of the BST films monotonously decreases with increasing thickness. It is closely associated with the crystallinity of the thin films, the crystalline size effect and the influence of the interface layer. The absorption coefficient of the BST films with different thicknesses decreases with increasing thickness. PACS 77.55.+f; 78.20.Ci; 78.30.Am; 81.70.Fy; 81.40.Tv     

Measure solutions of the steady Boltzmann equation in a slab

It is shown that the steady Boltzmann equation in a slab [0,a] has solutionsx _x such that the ingoing boundary measures _0{>0} and _{<0} can be prescribed a priori. The collision kernel is truncated such that particles with smallx-component of the velocity have a reduced collision rate.     

Muon Knight shift in platinum and in β-PdHx (x=0.70, 0.75)

The ⁺ Knight shift in platinum has been measured between 20 K and 785 K. It shows a strong temperature dependence and scales with the magnetic bulk susceptibility. A temperature independent contribution of +40 to +60 ppm and a d-electron induced hyperfine field per unpaired d-electron per atom ofB _hf,d =–5.03 kG (±8.5%) are obtained. The ⁺ Knight shift in PdH_0.70 and PdH_0.75 shows no dependence on temperature between 20 K andRT and increases fromK ppm forx=0.70 toK ppm forx=0.75, in good agreement with proton Knight shift measurements.     

Structure and ferro-/piezoelectric properties of bimorph-shape CaBi4Ti4O15 films on Pt foils

In-plane c-axis oriented CaBi₄Ti₄O₁₅ (CBTi144) films were fabricated on Pt foils using a complex metal alkoxide solution. The a/b-axis orientation of the ferroelectric films was affected by the preferred orientation of Pt foil, which is associated with the thickness. The 500 nm-thick CBTi144 films showed good ferro- and piezoelectric properties on 0.010 mm-thick Pt foils. The Pr and Ec were 26 C/cm² and 230 kV/cm, respectively, at an applied voltage of 75 V. The d₃₃ was characterized as 25–34 pm/V by piezoresponse force microscopy. The values enhanced compared to those of the CBTi144 thin film with random orientation. The polar-axis oriented CBTi144 films would open for novel devices as Pb-free piezoelectric materials. PACS 77.84.-s; 68.37.-d; 81.15.-z     

Moment evaluation for linear chain

A method has been derived to generate a structure of moments for frequency spectrum of a disordered crystal lattice with the use of digital computer. The moments are given by expressions containing mean values of powers of reciprocal masses of chain atoms or it is possible to directly carry out their evaluation. The derivation performed here for a linear chain is applicable even for more complex lattice types. Using the method described below, the structure of moments up to ₄₂ has been evaluated; numerically the moments up to ₅₀ have been evaluated. The values of ₂₂, ₂₄ and ₂₆ moments are given in appendix.     

Special Features of the Reflection Coefficient in (Pb0.78Sn0.22)1–xInxTe (x = 0.05–0.20)

Spectral dependences of the reflection coefficient R are studied in solid solutions of (Pb_0.78Sn_0.22)_1–x In _x Te with indium content in the mixture x = 0.05–0.20 at T = 300 K. In the R() spectra of each of the examined specimens, two minima of the reflection coefficient are revealed: one in the short-wavelength region at = 1–2 m, and the other – in the long-wavelength region at = 25–30 m, the latter being due to plasma vibrations of free electrons. Peculiar features of the short-wavelength minima in the R() dependences are analyzed. It is shown that these minima are likely to be associated with heterogeneities formed by the nonuniform spatial distribution of indium in the specimen.