For toroidal topology we solve the shape equation for axisymmetric vesicles numerically. The phase diagram is found to be similar to that from another shape equation. This similarity is the result of the insensitive dependence of beading energy upon detailed shape of vesicles and the constant volume and area ensemble we are considering. We argue that the very small distance between two opposite cusps of the sickle-shaped vesicle makes it unstable and fuse into two encompassed spheres which might be observed in experiment. The spontaneous curvatures of the observed Clifford tori are also estimated.

We perform new explicit and regularization-independent calculations of < AV > amplitude in QED_{1+1} and amplitude in QED_{1+3} respectively to reinvestigate the anomaly problem. A kind of finite and unambiguous terms of exact scale behavior (in momentum space) is found to be responsible for the anomalies both in QED_{1+1} and QED_{1+1}. They come from logarithmically divergent momentum integrals in contrast with the usual knowledge for triaugle anomaly in QED_{1+3}. In QED_{1+1}, this term is also responsible for photon mass generation. Some implications and possible relations with other aspects of anomaly are discussed.

In order to investigate the M6ssbauer isomer shifts and its related electronic charge densities for some substances, the electronic charge density at nuclear site of a iron have been computed for an octahedral cluster Fe_{6} with SCF MS-X_{α} method. Some other electronic structure parameters of the cluster have also been obtained, such as the orbital energy distri- bution, the electron density of states, the Fermi level and various kinds of electron energies, etc. The cohesive energy of α iron have also been calculated and discussed.

The laser pulse shape effect and mainly the stepout effect on the ionization are investigated numerically in this paper. About the pulse shape effect, the result shows that it would be better to use shorter Gaussian pulses on the condition of constant area. About the stepout problem, the calculation shows that a certain stepout between pulses will benefit the ionization. Some interesting phenomena caused by stepout among pulses are found and explained in population dynamics.

CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES

The isothermal crystallization kinetics of amorphous Al-Ni-Zr alloy produced by mechanical alloying was studied by means of differential scanning calorimetry. Accordiag to Arrhenius equation, the apparent activation energy was calculated. The isothermal crystal-lization kinetics follows Johnson-Mehl-Avrami equation with n=2.00 within 0.15

The behavior of ion-beam-induced crystallization of a buried amorphous layer created by means of MeV Si^{+} irradiation at 300℃ in Si(100) was studied by Rutherford backscattering and channeling technique. Sohd phase epitaxial crystallizations occurred from both the front and the back amorphous-crystalline(a/c) interfaces with the growth thickness being increased linearly with increasing dose of the annealing ion beam, Nuclear energy deposition was proved to play a dominant role in the process of ion-beam-induced crystallization. The high density of electronic excitation, which could enhance defect production near or at the a/c interface, may thus enhance the nuclearly normalized growth rate of ion-beam-induced crystallization at the front a/c interface.

CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES

A possible superconducting mechanism of the hole-doped C_{60} solid is discussed. Under the assumption that the superconductivity results from the strong coupling between electrons at Fermi surface and intramolecular vibrations, a simple expression for the electron-phonon coupling parameter λ is derived. The related transition temperature is estimated and can be much greater than that of the alkali-metal-doped C_{60} solid.

Four factors (the interface roughness, the monotonous thickness drift, the interdiffusion between two layers and the change of extinction coefficients) which may affect the multilayer mirror reflectivity in soft X-ray region are investigated. Some conclusions are obtained by our theoretical analysis. In long wavelength region (λ> 12nm), the change of extinction coefficients is the main cause reducing the multilayer mirror reflectivity and others (excluding the interface roughness) only shift the peak position. In short wavelength region (λ<10nm), all the four factors affect the reflectivity. In addition, the two factors, monotonous thickness drift and interdiffusion between two layers, shift the peak position. To check these conclusions, the measurement of a Nb/Si multilayer mirror fabricated by our magnet sputtering system is performed on an X-ray generator and a reflectometer installed on the Beijing Synchrotron Radiation Facility. The experimental results are in good agreement with our calculations, and the reflectivity up to 32 % of the Nb/Si multilayer mirror (with 41 layers and at wavelength 17.59nm) is attained.

8000 CROSSDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY

The thermal radiation spectrum of a generally non-stationary black hole is studied. The conclusion is discussed in some special cases. The calculation and the discussion show that the thermal radiation spectrum may depend on the angular variables of the black hole.

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