A CRITERION OF ESSENTIALLY COMMUTING TOEPLITZ OPERATORS ON BERGMAN SPACE

1.IntroductionLetmdenotethevolumemeastireontheunitballUnormalizedtohavetotalmass1ofthen-dimensionalcomplexspaceC".TheBergmanspaceBP(U)(15p相似文献   

Fission experiments with secondary beams

Nuclear fission from excitation energies around 11 MeV was studied at GSI, Darmstadt for 76 neutron-deficient actinides and pre-actinides by use of relativistic secondary beams. The characteristics of multimodal fission of nuclei around ²²⁶Th are systematically investigated and related to the influence of shell effects on the potential-energy and on the level density between saddle point and scission. A systematic view on the large number of elemental yields measured gave rise to a new interpretation of the enhanced production of even elements in nuclear fission and allowed for a new understanding of pair breaking in fission.     

Few-cycle-driven XUV laser harmonics: generation and focusing

We have investigated the use of sub-10-fs near-infrared laser pulses to generate high-order harmonic radiation efficiently in the wavelength region between 30 to 10 nm. The ultrashort rise time of the driver pulses allows harmonics to be produced at low ionization levels and hence to grow coherently over propagation lengths becoming comparable to the XUV absorption lengths in the noble gas medium. As a result, absorption-limited harmonic generation has been extended to the 10-nm range for the first time. Harmonic conversion efficiencies of (3-4)᎒^ъ in the range of 10-13 nm in neon and some two orders of magnitude higher at around 30 nm in argon have been obtained in simple gas tube targets under these conditions. Preliminary focusing tests with 13-nm harmonic radiation have been carried out with a specially designed zoneplate and a spherical Mo/Si multilayer mirror and have resulted in spot sizes of about 2 microns. Our experiments aim at paving the way to nonlinear optics in the soft-X-ray regime.     

Microstructure of Ni/YSZ cermets according to particle size of precursor powders and their anodic performances in SOFC

Four different Ni/YSZ cermets were prepared by combining two sets of NiO and YSZ powders of different size. The microstructural change evolved during the course of electrode adhesion and cell operation was monitored using scanning electron microscopy (SEM) and energy dispersive spectroscopy (EDS). The anodic activity was compared by analyzing the ∝ impedance spectra of four Ni/YSZ cermet (H₂) / YSZ half cells at 1000 °C. Among the cermets, the one that prepared from the smaller NiO and larger YSZ powder showed the best anodic performances on aspects of the initial activity and long-term stability. This favorable performance is partly responsible to the presence of larger YSZ particles which provide a supporting matrix to suppress the microstructural change against Ni sintering and concomitant volume shrinkage, and partly to an easy formation of Ni channel for electronic conduction. Anodic performances of the other cermets were also discussed based on their microstructure.     

Roles of metal nanoparticles on organosulfur-conducting polymer composites for lithium battery with high energy density

Ag nanoparticles were added to DMcT-PAn composites to improve charge-discharge performance of the composites as a cathode material for lithium rechargeable batteries. Addition of Ag nanoparticles successfully enhanced the redox activity of the composites, possibly due to electrocatalytic activity of the nanoparticles. Increased conductivity of the composite films could be another possible origin for the enhanced redox activity. UV/vis spectroscopic analysis suggested strong interactions between DMcT and nanoparticles, while only weak interactions were observed between PAn and nanoparticles. XPS measurements further confirmed the interactions between DMcT and Ag nanoparticles based on a signal indicative of a silver-sulfur bond.     

Solubility of vinylidene fluoride polymers in supercritical CO2 and halogenated solvents

The cloud‐point behaviors of poly(vinylidene fluoride) (PVDF) and poly(vinylidene fluoride‐co‐22 mol % hexafluoropropylene) (VDF–HFP₂₂) are reported at temperatures up to 250 °C and pressures up to 3000 bar in supercritical CO₂, CHF₃, CH₂F₂, CHClF₂, CClF₃, CH₃CHF₂, CH₂FCF₃, CHF₂CF₃, and CH₃CClF₂. The molecular weight of PVDF has a smaller effect on the cloud point than the solvent quality. Cloud‐point pressures for both fluoropolymers decrease as the solvent polarizability, polar moment per molar volume, and density increases. However, it is extremely difficult to dissolve either fluoropolymer in CClF₃, which has a large polarizability and a small dipole moment. CO₂ is an effective solvent because it complexes with the C F dipole at low temperatures where energetic interactions fix the phase behavior. In addition, polymer architecture has a strong impact on the cloud‐point pressure. VDF–HFP₂₂ has lower cloud‐point pressures than PVDF in all solvents because it has a larger free volume that promotes facile interactions between the solvent and the polymer segments. Cloud‐point data are also reported for amorphous poly(tetrafluoroethylene‐co‐x mol % 2,2‐bistrifluoromethyl‐4,5‐difluoro‐1,3‐dioxole) (TFE–PDD_x ; x = 65 and 85) in CO₂. These data provide an interesting comparison to the PVDF–CO₂ and VDF–HFP₂₂–CO₂ systems because TFE–PDD₆₅ and TFE–PDD₈₇ have very high glass‐transition temperatures of 160 and 240 °C, respectively. © 2000 John Wiley & Sons, Inc. J Polym Sci B: Polym Phys 38: 2832–2840, 2000     

Parallelization of four‐component calculations. I. Integral generation,SCF, and four‐index transformation in the Dirac–Fock package MOLFDIR

The treatment of relativity and electron correlation on an equal footing is essential for the computation of systems containing heavy elements. Correlation treatments that are based on four‐component Dirac–Hartree–Fock calculations presently provide the most accurate, albeit costly, way of taking relativity into account. The requirement of having two expansion basis sets for the molecular wave function puts a high demand on computer resources. The treatment of larger systems is thereby often prohibited by the very large run times and files that arise in a conventional Dirac–Hartree–Fock approach. A possible solution for this bottleneck is a parallel approach that not only reduces the turnaround time but also spreads out the large files over a number of local disks. Here, we present a distributed‐memory parallelization of the program package MOLFDIR for the integral generation, Dirac–Hartree–Fock and four‐index MS transformation steps. This implementation scales best for large AO spaces and moderately sized active spaces. © 2000 John Wiley & Sons, Inc. J Comput Chem 21: 1176–1186, 2000     

Production of polyhydroxyalkanoates by fermentation of bacteria

Polyhydroxyalkanoates (PHAs) are carbon and energy reserve material accumulated by numerous microorganisms and have been drawing much attention as biodegradable substitutes for conventional nondegradable plastics and elastomers. There are a number of different PHAs having a variety of material properties based on the different monomer composition. Poly(3‐hydroxybutyrate) and poly(3‐hydroxybutyrate‐co‐3‐hydroxyvalerate) are now efficiently produced by bacterial fermentation at reasonable production costs. Recent advances in the production of short‐chain‐length (SCL) PHAs by bacterial fermentation are reviewed. Current status of the production of medium‐chain‐length (MCL) PHAs and SCL‐MCL‐PHA copolymers is also reviewed.