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arXiv 2301.07017physics.chem-phcond-mat.mtrl-sci
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水对电子弹性散射的从头算研究

Elastic scattering of electrons by water: an ab initio study

Francesca Triggiani, Tommaso Morresi, Simone Taioli, Stefano Simonucci

摘要:

在这项工作中,我们设计了一个理论和计算方法来计算弹性散射的电子从一个非球形的潜力,如在分子和分子聚集体的情况下。它的主要特点是能够通过求解Lippmann-Schwinger方程来计算多中心系统连续态的精确波函数,包括相关效应和多散射干涉项,这些在广泛使用的方法中通常被忽略,例如Mott理论。在这个框架内,我们计算纯弹性散射矩阵元素。作为一个测试案例,我们将我们的计划的电子-水弹性散射的建模。利用Dirac-Hartree-Fock自洽场方法确定了投影到高斯基函数空间上的非球形分子势。通过添加一些多中心的径向排列的$s$型高斯函数,其指数是系统相关的和优化的,以再现在不同的能量区域的连续电子波函数的属性,我们能够实现前所未有的访问的描述的低能量范围的频谱($0.001< E < 10$ eV)keV,找到一个很好的协议与实验数据和以前的理论结果。为了显示我们的方法的潜力,我们还计算了总的弹性散射截面的电子撞击在集群的水分子和Zundel阳离子。我们的方法可以扩展到处理非弹性散射事件和重带电粒子。

英文摘要:

In this work we devise a theoretical and computational method to compute the elastic scattering of electrons from a non-spherical potential, such as in the case of molecules and molecular aggregates. Its main feature is represented by the ability of calculating accurate wave functions for continuum states of polycentric systems via the solution of the Lippmann-Schwinger equation, including both the correlation effects and multi-scattering interference terms, typically neglected in widely used approaches, such as the Mott theory. Within this framework, we calculate the purely elastic scattering matrix elements. As a test case, we apply our scheme to the modelling of electron-water elastic scattering. The Dirac-Hartree-Fock self-consistent field method is used to determine the non-spherical molecular potential projected on a functional space spanned by Gaussian basis set. By adding a number of multi-centric radially-arranged $s$-type Gaussian functions, whose exponents are system-dependent and optimized to reproduce the properties of the continuum electron wave function in different energy regions, we are able to achieve unprecedented access to the description of the low energy range of the spectrum ($0.001< E < 10$ eV) up to keV, finding a good agreement with experimental data and previous theoretical results. To show the potential of our approach, we also compute the total elastic scattering cross section of electrons impinging on clusters of water molecules and zundel cation. Our method can be extended to deal with inelastic scattering events and heavy-charged particles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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