The photon emission spectrum of the hydrogen atoms in an intense high-frequency laser pulse is simulated by using one-dimensional soft Coulomb potential. Regular fine structures appear on the two sides of both the odd and even multiples of photon energy of the laser field besides the ordinary odd harmonic peaks. It is proved that the splits of the fine structures are responsible for hyper-Raman lines and the energy spacing between the odd harmonic lines is equal to the difference in energy between the eigenstates with the same parity of the time averaged Krameters-Henneberger (KH) potential. By analysing the features of the fine structures, we also verify that the so-called even order harmonics under the stabilization condition are indeed hyper-Raman lines caused by the transitions between the dressed atomic states with different values of parity.
Interference effects on the photoionization cross sections between two neighbouring atoms are considered based on the coherent scattering of the ionized electrons by the two nuclei when their separation is less than or comparable to the de Broglie wave length of the ionized electrons.As an example,the single atomic nitrogen ionization cross section and the total cross sections of two nitrogen atoms with coherently added photoionization amplitudes are calculated from the threshold to about 60 A (1 A=0.1 nm) of the photon energy.The photoionization cross sections of atomic nitrogen are obtained by using the close-coupling R-matrix method.In the calculation 19 states are included.The ionization energy of the atomic nitrogen and the photoionization cross sections agree well with the experimental results.Based on the R-matrix results of atomic nitrogen,the interference effects between two neighbouring nitrogen atoms are obtained.It is shown that the interference effects are considerable when electrons are ionized just above the threshold,even for the separations between the two atoms are larger than two times of the bond length of N 2 molecules.Therefore,in hot and dense samples,effects caused by the coherent interference between the neighbours are expected to be observable for the total photoionization cross sections.
The structural and magnetic properties of Fe_(n-m) Ga_(m) (n=3 ～ 6,m=0 ～ 2;n=13,m=0 ～ 3) alloy clusters have been studied using density functional theory.The substitutional doping is favourable for small clusters with up to six atoms at low Ga concentration and substitutional Ga atoms in 13-atom clusters prefer surface sites.The Ga-doping generally could reduce the energetic stability but enhance the electronic stability of Fe clusters,along with a decrease of the local magnetic moments of Fe atoms around Ga dopants.These findings provide a microscopic insight into Fe-Ga alloys which are well-known magnetostriction materials.
