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Hydrogen atom in strong magnetic field: a high accurate calculation in spheroidal coordinates
LIU Qiang, KANG Shuai, ZHANG Xian-zhou, SHI Ting-yun
Front. Phys. . 2006, 1 (4): 419-423.
https://doi.org/10.1007/s11467-006-0045-5
A B-spline-type basis set method for the calculation of hydrogen atom in strong magnetic fields in the frame of spheroidal coordinates has been introduced. High accurate energy levels of hydrogen in the magnetic field, with strength ranging from 0 to 1000 a.u., have been obtained. For the ground state, 1s0, energies with at least 11 significant digits have been obtained. For the low-lying excited state, 2 p-1, energies with at least 9 significant digits are obtained. The method has also been applied to the calculation of hydrogen Rydberg states in laboratory magnetic fields. Energy spectra with at least 10 significant digits are presented. A comparison with other results in the literatures has been performed. Our results are comparable to the most accurate one up to date. A possible extension to the cases of parallel and crossed electric and magnetic fields have been discussed.
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Vertically aligned and hexagonal crystal ZnSe nanoribbon arrays on Zn substrates
PANG Qi, ZHAO Li-juan, GE Wei-kun, WANG Jian-nong, FANG Yue-ping, WEN Xiao-gang, YANG Shi-he
Front. Phys. . 2006, 1 (4): 442-445.
https://doi.org/10.1007/s11467-006-0046-4
The vertically aligned and hexagonal ZnSe nanoribbon array can be easily obtained by heating ZnSe: 0.38 en precursors (en = ethylenediamine), while ZnSe precursor nanoribbon arrays are grown directly on Zn foils in en using the solvothermal method. The nanoribbons are mostly about 4 nm in thickness, 100 300 nm in width, and 2 μm in length. The characteristics observed using scanning electron microscopy and X-ray diffraction indicate that the ZnSe precursor as well as ZnSe nanoribbons are vertically aligned on almost the whole zinc foil surface and form a large-scale uniform array. Particularly, ZnSe precursor nanoribbons are hybrid materials of ZnSe and en, while ZnSe nanoribbons are in the from of hexagonal structures. Possible growth mechanisms of the ZnSe precursor nanoribbon arrays are also proposed.
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Radiative opacity of plasmas studied by detailed term (level) accounting approaches
ZENG Jiao-long, JIN Feng-tao, YUAN Jian-min
Front. Phys. . 2006, 1 (4): 468-489.
https://doi.org/10.1007/s11467-006-0042-8
Detailed term and level accounting (DTA and DLA) schemes have been developed to calculate the spectrally resolved and Rosseland and Planck mean opacities of plasmas in local thermodynamic equilibrium. Various physical effects, such as configuration interaction effect (including core-valence electron correlations effect and relativistic effect), detailed line width effect (including the line saturation effect), etc., on the opacity of plasmas have been investigated in detail. Some of these physical effects are less capable or even impossible to be taken into account by statistical models such as unresolved transition arrays, super-transition-array or average atom models. Our detailed model can obtain accurate opacity of plasmas. Using this model, we have systematically investigated the radiative opacities of low, medium and high-Z plasmas under different conditions of temperature and density. For example, for aluminum plasma, in the X-ray region, we demonstrated the effects of autoionization resonance broadening on the opacity for the first time. Furthermore, the relativistic effects play an important role on the opacity as well. Our results are in good agreement with other theoretical ones although better agreement can be obtained after the effects of autoionization resonance broadening and relativity have been considered. Our results also show that the modelling of the opacity is very complicated, since too many physical effects influence the accuracy of opacity. For medium and high-Z plasmas, however, there are systematic discrepancies unexplained so far between the theoretical and experimental opacities. Here, the theoretical opacities are mainly obtained by statistical models. To clarify the discrepancies, efforts from both sides are needed. From the viewpoint of theory, however, a DLA method, in which various physical effects can be taken into account, should be useful in resolving the difference. Taking gold plasma as an example, we studied in detail the effects of core-valence electron correlation and line width on the opacity. Our DLA results correctly explained, for the first time, the relative intensity of the two strong absorption peaks located near the photon energy of 70 and 80 eV, which was experimentally observed by Eidmann et al. [Europhys. Lett., 1998, 44: 459].
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Effective medium method of slightly compressible elastic media permeated with air-filled bubbles
QIN Bo, LIANG Bin, ZHU Zhe-min, CHENG Jian-chun
Front. Phys. . 2006, 1 (4): 500-505.
https://doi.org/10.1007/s11467-006-0050-8
An effective medium method is developed for the slightly compressible elastic media permeated with air-filled bubbles, according to the nonlinear oscillation of the bubble, which happens when compressional wave travels through the porous media. The effective Lame coefficients of the porous medium and the nonlinear elastic wave equation are deduced, based on the fact that the micro-unit of the effective medium should have the same stress and strain as the micro-unit of the porous media. The linearized properties obtained by this method are in good agreement with the results of Gaunaurd s classic theory [Gaunaurd G.C. and ?berall H., J. Acoust. Soc. Am., 1978, 63: 1699 1711]. Furthermore, the nonlinear coefficient, which is an important property of the porous media, can also be acquired by this method.
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16 articles
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