(e, 2e) spectroscopy

We present a detailed treatment of the theoretical and experimental aspects of the symmetric (e, 2e) reaction in atoms, molecules and solids. Two experimental arrangements are described for measuring angular correlations and separation energy spectra. the one arrangement employing coplanar and the other noncoplanar symmetric kinematics. The latter arrangement is shown to be particularly suitable for extracting structure information. The basic approximation, the factorized distorted-wave off-shell impulse approximation with fully distorted waves, is shown to correctly describe the reaction in some test cases, as does the phase distortion approximation. At energies of the order of 1200 eV the simple eikonal and plane wave approximations adequately describe the valence shell cross sections for light atoms and molecules containing first row elements. Energy independent structure information is obtained on: (a) shapes and magnitudes of the square of the momentum space wave functions for individual electron orbitals; (b) separation energies for individual ion eigenstates; (c) the characteristic orbital of each state; and (d) spectroscopic factors describing the probability that an eigenstate contains the principal configuration of a hole in the characteristic orbital for each eigenstate. Comparison is made with photoelectron spectroscopy and Compton scattering, since they separately yield some of the information obtained by the (e, 2e) method. A brief summary is given of other electron-electron coincidence experiments.     

Young-type interference in (e, 2e) ionization of H(2)

We have investigated the electron impact single ionization of the hydrogen molecule, with fully determined kinematics. The experimental and theoretical results are compared with He ionization under the same conditions. The results indicate that the ejected electron angular distribution for H(2) is modified due to Young-type interference between ionization amplitudes for scattering from the two centers in the hydrogen molecule. The observable result is a suppression of the backward scattering (recoil) peak compared with the binary peak.     

(e,2e) electron spectroscopy of surfaces

Received: 21 March 1997/Accepted 12 August 1997     

氢原子(e,2e)反应离化振幅的分析

利用双势公式的后滞形式并且在入射的快电子近似的取为平面波的基础上,在共面非对称几何条件下计算了电子离化氢原子的三重微分散射截面.变换矩阵元可以解析的表示为结构散射因子和关联因子的乘积形式(关联因子和结构散射因子分别对应于recoil peak和binary peak)解决了由于大量的数值计算而带来的麻烦.本文引入一个有效电荷,通过对它进行调整考虑了变换矩阵元中的第一项的影响.最后把计算结果与实验结果及他人的结果进行了比较,与实验结果符合的很好.     

Magnetic and orbital dichroism in (e,2e) ionization of sodium

We present the first measurement of (e,2e) ionization cross sections for a laser oriented atomic target by spin polarized electrons. Cross sections are presented as a function of target orientation and polarization direction of the incident electron beam. This study provides insight into mechanisms by which angular momentum is transferred from the valence electron to the two final-state continuum electrons in both singlet and triplet spin channels, by comparing measurement with distorted wave Born approximation and the dynamically screened three Coulomb wave calculations.     

730 eV电子碰撞He原子(e, 2e)电离的三重微分截面

考虑初态He原子电子间的关联效应、末态敲出电子与剩余束缚电子间的关联效应和末态屏蔽效应, 计算和分析了在共面、大能量损失和小动量转移这一特殊几何条件下730eV电子离化He原子的三重微分截面. 所得结果与Stevenson等人的相对实验数据和CCC理论计算结果进行比较发现: 所得到的理论曲线能够反映实验数据给出的三重微分截面的结构特征.     

730 eV电子碰撞He原子(e, 2e)电离的三重微分截面

考虑初态He原子电子间的关联效应、末态敲出电子与剩余束缚电子间的关联效应和末态屏蔽效应, 计算和分析了在共面、大能量损失和小动量转移这一特殊几何条件下730eV电子离化He原子的三重微分截面. 所得结果与Stevenson等人的相对实验数据和CCC理论计算结果进行比较发现: 所得到的理论曲线能够反映实验数据给出的三重微分截面的结构特征.     

Study of molecular orbitals by means of (e,2e) spectroscopy on oriented molecules

The usefulness of the (e,2e) technique applied to the study of the electron momentum density for orbitals oriented in space is discussed. Calculations on N₂ and CO are used to show the potential usefulness of this technique in investigating the bonding properties of molecules. A brief mention of those phenomena in which oriented molecules are involved is made.     

The interpretation of binary (e, 2e) spectroscopy using spin-coupled theory

We discuss the possible interpretation of the (e, 2e) scattering technique (electron momentum spectroscopy) in terms of spin-coupled wave functions. The spin-coupled method is a modern valence bond approach which is based on a simple picture of singly occupied orbitais. In general these are highly localized, unlike their molecular orbital theory counterparts, and this has important consequences for the form of the momentum space orbitais to which the experimental differential cross-sections can be related. We compare spin-coupled and molecular orbital electron densities for individual orbitais of LiH, NH, CH₂CHF and CH₂CHCl, both in momentum space and in the more familiar position space representation. Finally, we comment briefly on the possible significance of this new approach for resolving the present discrepancies between theory and experiment for NH₃, H₂O and HF.     

Study of valence states of the CO2 molecule by (e, 2e) momentum spectroscopy

The (e, 2e) technique has been used to measure the binding energy spectrum and the momentum distribution of the electrons in the CO₂ molecule outer orbitals. The innermost valence states 2σ_u and 3σ_g have been localized 2 eV away from each other and evidence of configuration interaction involving 3σ_g has been found. The electron momentum distributions for the various orbitals show poor agreement with the square of the Hartree-Fock wave function Fourier transform.     

Simultaneous projectile-target ionization: a novel approach to (e, 2e) experiments on ions

A kinematically complete experiment for simultaneous ionization of a projectile and target has been performed for 3.6 MeV/u C2+ on He collisions measuring the final vector momenta of the He1+ recoil ion and of two electrons (projectile, target) in coincidence with the emerging C3+ projectile. The feasibility of an event-by-event separation of the various reaction channels, among them the ionization of C2+ by the interaction with a quasifree target electron, is demonstrated in agreement with six-body classical trajectory Monte Carlo calculations, paving the way to kinematically complete electron-ion scattering experiments.     

电子碰撞Kr(4s2)（e, 2e）反应三重微分截面的理论研究

采用扭曲波玻恩近似,计算了共面对称条件下低能电子碰撞Kr(4s2)的(e,2e)反应三重微分截面.与实验结果比较后发现,极化效应和后碰撞相互作用在共面对称几何条件下的~Kr(4s2)低能(e,2e)反应中起着重要的作用.     

Triple coincidence (e,gamma2e) experiment for simultaneous electron impact ionization excitation of helium

Simultaneous ionization and excitation of helium atoms by 500 eV electron impact is observed by a triple coincidence of an ionized slow electron, the recoiling He+ ion, and the radiated vacuum ultraviolet photon (lambda< or =30.4 nm). Kinematically complete differential cross sections are presented for the He+(2p)2P final ionic state, demonstrating the feasibility of a quantum mechanically complete experiment. The experimental data are compared to predictions from state-of-the-art numerical calculations. For large momentum transfers, a first-order treatment of the projectile-target interaction can reproduce the experimental angular dependence, but a second-order treatment is required to obtain consistent magnitudes.     

Electron dichroism effects in the relativistic (e, 2e) process for K-shell ionization of atoms

In this communication we present theoretical demonstration of electron dichroism in the relativistic (e, 2e) process for K-shell ionization of atoms in non-coplanar asymmetric geometry. The theoretical formalism has been developed in plane wave Born approximation and in this approximation the triple differential cross-section (TDCS) has been expressed as a product of kinematical factors and atomic structure functions. The longitudinal spin asymmetry in the relativistic (e, 2e) process on K-shell of atoms has been shown to depend on the interference between the transition charge and component of the transition current in the direction perpendicular to the scattering plane. Further, the longitudinal spin asymmetry has been shown to depend on incident electron energy, atomic number of the target, azimuthal angle of the ejected electron and scattered electron angle.     

64.6 eV电子碰撞电离氦原子(e, 2e)反应的理论研究

利用BBK理论及其修正模型,计算了入射能64.6 eV、 不同枪角情况下,电子碰撞电离氦原子(e, 2e)反应的三重微分散射截面. 分析了曲线结构,对其内部碰撞机制进行了详细的研究和探讨.结果表明: 在非共面几何条件下,碰撞微分截面上所呈现出来的特征是由多种效应共同作用所决定的, 随着条件的不同而相互转化.且在垂直入射几何条件下,末通道存在着极强的动力学屏蔽.     

电子碰撞原子(e,2e)反应的复极化势

研究包括连续通道等非处理通道的复极化势对(e,2e)碰撞过程三重微分截面的影响,即将耦合通道光学势方法得到的复极化势附加到畸变波玻恩近似方法的畸变势中,在靶态的HF近似下,计算了Ar原子和Ne原子在非共面对称几何条件下(e,2e)反应的三重微分截面.对于较高的入射能量,在实验的误差范围内,计算结果与电子动量谱的实验数据符合较好,复极化势的影响很小;对于较低的入射能量,复极化势的作用明显增大. 关键词： 复极化势 (e;2e)反应 三重微分截面 电子动量谱