[en] For a helium atom in D dimensions, the lowest energies of S wave with spin 1 and 0 are precisely calculated directly from the Schroedinger equation where the mass of the helium nucleus is finite. Our numerical results are a confirmation of the interdimensional degeneracy between the state ¹S^e (³S^e) in D dimensions and the state ³P^e (¹P^e) in D-2 dimensions, where D≥5

[en] A new approach is developed to derive the complete spectrum of exact interdimensional degeneracies for a quantum three-body system in D dimensions. The new method gives a generalization of previous methods

[en] In this Letter, the lowest energies of a D-dimensional helium atom in P-wave, where the total spin of two electrons is 1 and 0 and the parity is odd and even, are directly calculated from the Schroedinger equation with the finite mass of the helium nucleus, respectively. It is found that the lowest energy level of the P-state with spin zero is higher than that of the state with spin one if the parity and the spatial dimension D are the same, and that vertical bar E vertical bar of the states with the same angular momentum and the parity decreases as D increases. Moreover, the interdimensional degeneracies are confirmed in the calculation, namely the states ^1,3P^e and ^1,3D^o in three dimensions are degenerated with the states ^3,1S^e and ^3,1P^o in five dimensions

[en] A method without any approximation to separate the global rotational degrees of freedom in the Schroedinger equation for an N-body system completely from the internal ones is presented. For given orbital angular momentum states, the authors discover a complete set of independent base-functions, which are homogeneous polynomials in the components of the coordinate vectors and satisfy the Laplace equation. Any function with the given angular momentum and the given parity in the system can be expanded with respect to the base-functions, where the coefficients are the functions of the internal variables, called the generalized radial functions. The authors explicitly establish the simultaneous equations with the finite number for those functions. Only (3N-6) internal variables are involved both in the functions and in the equations

[en] The formulae of photon angular distribution and polarization degree for radiative recombination are presented to include the contribution of multipoles and their correlations. A fully relativistic code is then developed to calculate the photon angular distribution and polarization. The calculated polarization degree and differential cross-sections agree well with that of Scofild's results within 10%. The effects of multipoles on polarization and angular distribution are investigated. The polarization and the angular distribution become asymmetric when the multipoles are accounted as the electron energy increases. (authors)

[en] Biomaterials for scaffolds and scaffold fabrication techniques are two key elements in scaffold-based tissue engineering. Nanocomposites that consist of biodegradable polymers and osteoconductive bioceramic nanoparticles and advanced scaffold manufacturing techniques, such as rapid prototyping (RP) technologies, have attracted much attention for developing new bone tissue engineering strategies. In the current study, poly(hydroxybutyrate-co-hydroxyvalerate) (PHBV) microspheres and calcium phosphate (Ca-P)/PHBV nanocomposite microspheres were fabricated using the oil-in-water (O/W) and solid-in-oil-in-water (S/O/W) emulsion solvent evaporation methods. The microspheres with suitable sizes were then used as raw materials for scaffold fabrication via selective laser sintering (SLS), which is a mature RP technique. A three-factor three-level complete factorial design was applied to investigate the effects of the three factors (laser power, scan spacing, and layer thickness) in SLS and to optimize SLS parameters for producing good-quality PHBV polymer scaffolds and Ca-P/PHBV nanocomposite scaffolds. The plots of the main effects of these three factors and the three-dimensional response surface were constructed and discussed. Based on the regression equation, optimized PHBV scaffolds and Ca-P/PHBV scaffolds were fabricated using the optimized values of SLS parameters. Characterization of optimized PHBV scaffolds and Ca-P/PHBV scaffolds verified the optimization process. It has also been demonstrated that SLS has the capability of constructing good-quality, sophisticated porous structures of complex shape, which some tissue engineering applications may require.

[en] Dielectronic recombination (DR) for highly charged Fe, I, Ba, Bi and U ions are calculated with our developed codes. The calculations are based on isolate resonance approximation, and the free electrons are described with a fully relativistic distorted wave. The Auger decay rates are calculated in Coulomb plus generalized Breit interaction (GBI) and Møller interaction, respectively. The two-electron integrals in the imaginary parts of GBI and Møller interactions are derived to be the product of two one-electron integrals. By comparing our calculations with published theoretical and experimental results, residual relativistic and GBI effects are discussed. DR transitions through optical forbidden decays are investigated. (paper)

[en] The energies and transition probabilities of the atomic systems are calculated by Grasp-92 Utility. Based on the local thermal equilibrium theory and the data of 058 experiment of the inertial confinement fusion (ICF), with Ar + D₂ filled target pellet, the temperature and density of plasmas in target pellet of ICF are calculated and they are 804.7 eV, 8.39 x 10²³ cm^-3 respectively, the results agree well with that of other calculations. (authors)

[en] Highlights: • A novel broadband excitation signal for battery modeling is proposed and developed. • The drift and even-order nonlinear effects for parameter estimation are eliminated. • The performances of the proposed method are compared with three common tests. • The robustness of the proposed method is validated at different temperatures. • The proposed method can be easily applied to other types of batteries. -- Abstract: The attribute of battery current excitation signal significantly influences the battery model parameter identification accuracy. However, currently the studies mainly focus on the selection of battery models and the improvement of algorithm, and overlook the influence of excitation signal. More importantly, the conventional excitation signals, which are unsuited to the processes that subjected to the nonlinear effects, can lead to poor estimation accuracy of model parameters. Therefore, this paper proposes a novel excitation signal design method called inverse repeat binary sequence (IRBS). The theoretical analysis shows that the antisymmetric characteristic of IRBS can overcome the adverse effects of the direct current component and even-order nonlinearities for parameter estimation. Then, the design parameters of the excitation signal are determined for real application by analysing the single-sided amplitude spectrum of the typical battery test loading profiles of electric vehicles, and model parameters are estimated by means of particle swarm optimization algorithm. Finally, the experimental results of different temperatures based on the LiNiMnCoO₂ lithium-ion battery validate that IRBS is feasible, and has the higher accuracy than three commonly used excitation signal design methods.

[en] With the evaluated data of atomic process, We found that the ratio of both spectral lines and line to satellite line rapidly change with electronic temperature, and their profile rapidly with electronic density. With the help of the radiative transportation of one-dimensional equation, we analyzed some implosion experiments, done by Chinese Academe of Engineering physics, and obtained their temperature and density. (authors)