Calculation of the differential cross sections of excitation and ionization of a helium atom by electrons

Equations for the amplitudes and differential cross sections of electronic excitation and ionization of a helium atom are derived in the approximation of a frozen ion core. The wave functions of the discrete states are chosen in the form of generalized hydrogenlike orbitals. The radial wave functions of the continuous spectrum are determined by solving the equation of motion numerically. The differential excitation cross sections of excitation of the 2p, 3p, and 4p levels and ionization of a helium atom by electrons are calculated in the energy range up to 50 eV. Estimates are obtained for the nonorthogonal wave functions in the amplitudes of the excitation and ionization processes. It is shown that the given method is more compatible with experiment than the Born method.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 48–57, December, 1994.     

Theoretical study of the <Emphasis Type="Italic">K</Emphasis>-photoabsorption cross section of carbon in the acetylene molecule

The magnitudes and the shape of the K-absorption spectrum of carbon in the C₂H₂ molecule are found by the one-center method. Within this method, one-electron wave functions of occupied and unoccupied states are calculated in the approximation of nonorthogonal orbitals. The processes of single and double excitation/ionization with additional excitation of an electron from the external 1π_u shell to the 1π_g state are taken into account. The mechanism of formation of a fine structure in the photoionization spectrum is refined. The calculated cross sections are compared with experimental and theoretical results obtained by other researchers. The results of calculation of the oscillator strengths of single photoexcitation are predictive.     

Near-threshold electron-impact ionization of calcium atoms

The electron-impact ionization of calcium atoms is studied in the near-threshold energy range (from 6.11 to 16 eV). Experiments were performed by the method of intersecting electron and atomic beams with the recording of formed positive calcium ions. The electron beam (ΔE _1/2 = 0.15 eV) was formed using a hypocycloidal electron monochromator. An analysis of the specific features of ionization cross sections revealed a contribution from the excitation and decay of low-lying autoionization atomic states, which converge to the excitation thresholds of the 3d, 4p, and 5s ionic levels, and resonances (long-lived states of negative ions). The specific features of cross sections are identified using the experimental and theoretical data on photoionization (photoabsorption).     

铑原子基态的理论研究

在有心力场近似和组态相互作用理论框架下,通过对电子波函数、各个壳层上电子的束缚能、平均轨道半径、总束缚能、基组态时的激发能、电离能的分析和计算,研究了Lr原子的可能基组态及其基组态时的原子态.研究结果表明:基组态为5f147s27p,基态时的原子态为2P1/2.     

Anomalous elastic scattering of X-ray emission by an atom with open shells

In the nonrelativistic approximation for one-electron wave functions, the differential cross section for anomalous scattering of linearly polarized X-ray emission by a sodium atom near the ionization threshold of the 1s ² shell is studied. The analysis takes into account the many-body effects of relaxation of atomic shells in the field of a deep vacancy, multiplet splitting, and the double excitation/ionization processes. The theoretical results obtained for the anomalous-dispersion scattering region are predictive.     

Relative intensities in X-ray photoelectron spectra: Part XI. Calculation of photoionization cross sections for valence levels of SiF4

Partial photoionization cross sections for valence MOs of SiF₄ have been calculated by the method of multiple scattering with atomic amplitudes (MSAA) for excitation energies ranging from the ionization threshold to 60 eV. The cross section behavior near the ionization thresholds is determined mainly by the shape resonances of t₂ and e symmetries. The resonance structure of photoionization cross sections is treated in terms of deviations from the additive model, and of conceptions of “quasi-stationary” states and “quasi-forbidden” bands. The energy positions of quasi-stationary states in SiF₄ are compared with the data obtained from X-ray absorption spectra. The dependence of theoretical cross sections on the inter-nuclear distances is studied.     

Electron impact ionization and excitation rate coefficients in the negative glow region of a glow discharge

Some easy to use reasonable approximations for electron impact rate coefficients have been considered. The most important rate coefficients for electron collisions in noble gases are electron-neutral ionization and electron impact excitation. Electron-neutral ionization besides electron impact excitation of some states of the argon and helium atom in direct current (dc) glow discharge plasma has been calculated. The plasma parameters of electron are significant factors for computing the rate coefficients. We present first results of probe diagnostic that includes the double probe measurements of the plasma parameters, namely, electron temperature (T_e) and electron density (n_e). Electron properties obtained from the double probe characteristic curves including T_e and n_e as well as the calculated rate coefficients (ionization and excitation) were studied as a function of the axial distance from the cathode while the discharge operating parameters of voltage and pressure were varied. Two regions of the glow discharge were investigated: cathode fall region and negative glow. Particular emphasis was placed on the negative glow region.     

Two-photon excitation and ionization of the 2s shell of the argon atom

The absolute values and the form of the cross section for two-photon one-electron excitation and ionization of the deep 2s shell of the Ar atom are calculated taking into account the many-body effects of relaxation of the atomic core in the fields of arising virtual vacancies and the decay of vacancies via the Auger and (or) radiative channels. The one-electron wave functions are calculated in the nonrelativistic approximation. The appearance of the Cooper minimum in the two-photon absorption cross section is established. The calculations are carried out for the linear and circular polarizations of photons of an incident laser beam.     

Elastic scattering of a photon by an atom with an open shell

In the nonrelativistic approximation, the absolute values and the forms of the differential cross sections of the anomalous elastic scattering of a linearly polarized x-ray photon by manganese and copper atoms in the energy region of the ionization threshold of the 1s shell are calculated for the wave functions of one-electron states. We take into account the multiparticle effects of relaxation of atomic shells in the field of core vacancies, multiplet splitting, the configuration interaction, and Auger and radiative decays of vacancies, as well as the processes of double excitation/ionization of the ground state of the atom. The calculation results are in good agreement with the synchrotron experiment.     

Double ionization and excitation ionization in the Compton scattering of high-energy photons for metastable states of heliumlike ions

Double ionization and excitation ionization in Compton scattering for heliumlike ions in metastable states are investigated. The electron energy distribution for double ionization and the total cross sections for both processes are calculated. The calculations are carried out in the zeroth order of perturbation theory with respect to electron-electron interaction, using Coulomb wave functions as the first approximation. The resulting equations are valid only in the high-energy nonrelativistic range. It is assumed that Z≫1, but αZ≪1 (Z is the charge of the nucleus, and α is the fine-structure constant). Zh. éksp. Teor. Fiz. 116, 1889–1902 (December 1999)     

Dynamics of orbital degree of freedom in transition-metal oxides

The collective excitation in the orbital degree of freedom termed orbital wave is studied in the orbital ordered transition-metal oxides, in particular, in LaMnO₃. Symmetry, dispersion and energy gap of this excitation are examined by the group theoretical analyses and the linear spin-wave theory. The cross-section of the Raman scattering from the orbital wave is calculated and is compared with the recent experimental results.     

Calculation of the cross section of helium ionization by an electron impact with the formation of a helium ion in an excited state

The total cross sections of He and He⁺ ionization by an electron impact are calculated in the first Born approximation. Calculations of the matrix elements are carried out by the Fock-Dirac multiconfiguration relativistic method using an intermediate type of coupling with orthogonal functions of the initial and final states. A single-electron wave function of the continuous spectrum for an Auger electron is obtained using the Fock-Dirac single-configuration method. The results of the calculations performed with orthogonal and nonorthogonal wave functions of the initial and final states are compared. The ionization cross sections are calculated for cases in which a knock-on electron of the continuous spectrum is described by both the orthogonal and nonorthogonal wave functions with respect to the wave functions of the core electrons.     

Energy losses from fast structured heavy ions in multiple collisions with molecules and nanoparticles

A nonperturbative method is developed to calculate the energy losses from fast, highly charged, heavy ions in collisions with complex molecules and nanoparticles. All possible processes of excitation and ionization of both projectile and target are taken into account. The contributions to energy losses due to multiple collisions are calculated, and the effect of target orientation with respect to the direction of projectile motion is examined. As examples, the energy losses in collisions with the XeF₄ molecule and a C₃₀₀ nanotube are determined. It is shown that the effect of multiple collisions leads to significant change in energy loss with target orientation, being insignificant for randomly oriented targets.     

Zitterbewegung of wave packets and conductance of a quasi-one-dimensional channel in the presence of spin-orbit coupling

The electron energy spectrum and wave functions for a quasi-one-dimensional channel with Rashba spin-orbit coupling are calculated. The dynamics of wave packets in thin wires based on GaAs/In_0.23Ga_0.77As and AlGaAs/GaAs heterostructures with Rashba spin-orbit coupling are studied. Spin polarizations are found. The effect of splitting of wave packets with respect to their centers of mass and Zitterbewegung of their centers are discovered. The characteristics of wave-packet oscillations and spin density for free electrons and under confinement conditions are compared. A method for controlling the conductance of the quasi-one-dimensional channel using a controlling electrode is proposed.     

Ionization and excitation of some atomic targets and metal oxides by electron impact

We have calculated total inelastic and total ionization cross-sections for collisions of electrons on atomic targets oxygen (O), aluminium (Al) and copper (Cu) and metal oxides AlO and Al₂O, at impact energies from near excitation threshold to 2000 eV. A complex (optical) energy-dependent interaction potential is used to derive total inelastic cross-sections resulting from ionization as well as excitation processes. The inelastic cross-sections are bifurcated into discrete and continuum contributions and total ionization cross-sections have been deduced therefrom. Our calculation also provides information, hitherto sparse, on the excitation processes in the atomic targets O, Al, Cu and metal oxides AlO, Al₂O. Adequate comparisons are made with other theoretical and experimental data.     

Evolution of KL satellite of F in CaF2

Photoexcited F Kα satellite spectra of CaF₂ were studied as a function of excitation energy from threshold. The observed spectra show that the intensity evolution of the KL satellite line is not a monotonic function increasing with excitation energy, in contrast to the prediction from the conventional shake model, but has a small bump. Comparison with the Hartree–Fock calculations indicates that the origin of the bump can be ascribed to resonances of multi‐electron excitation processes in photoabsorption. Copyright © 2003 John Wiley & Sons, Ltd.     

一维H+2与超短强激光脉冲相互作用的经典理论

采用全经典理论研究了一维氢分子离子H⁺₂与超短强激光脉冲相互作用的动力学过程.利用经典统计方法，对激发、离解、电离和离解电离概率的时间演化进行了数值计算.并对计算结果进行了分析. 关键词：