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arXiv 1306.2154cond-mat.mtrl-scicond-mat.dis-nn
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无序合金的晶格电荷模型和芯能级移动

Lattice charge models and core level shifts in disordered alloys

T. L. Underwood, R. J. Cole

摘要:

属于相同化学物种的原子之间的核心能级结合能的差异可能与它们的原子内和原子外电荷分布的差异以及它们的核心空穴如何被屏蔽的差异有关。考虑到这一点,我们考虑了合金中净原子电荷的电荷过剩泛函模型(CEFM)[E。布鲁诺等人,物理修订版信函91,166401(2003)]。我们首先推导出CEFM能量函数,以阐明支撑这个模型的近似。此后,我们考虑CEFM的特殊情况下,在所有原子内的“本地相互作用”的强度是相同的。我们证明,对于二元合金,该模型的基态电荷可以用所有不同原子对之间的电荷转移来表示,类似于线性电荷模型[R. Magri等人,B 42,11388(1990)]。因此,考虑的模型是一个泛化的线性电荷模型的合金含有两个以上的化学物种。然后,我们确定模型的未知的几何因素在很宽的参数空间。这些数量与模型中电荷屏蔽的性质有关,我们说明了随着局部相互作用强度的增加,屏蔽变得越来越普遍。然后,我们使用该模型推导出各种物理量的解析表达式,包括Madelung能量和无序加宽的核心水平的结合能。这些表达式适用于三元随机合金,它表明,马德隆能量和无序加宽的幅度最大化的组合物中,两个物种具有最大的“电负性差异”是相等的,而其余的物种具有消失的浓度。这个结果在无序加宽方面有些违反直觉,因为它不...

英文摘要:

Differences in core level binding energies between atoms belonging to the same chemical species can be related to differences in their intra- and extra-atomic charge distributions, and differences in how their core holes are screened. With this in mind, we consider the charge-excess functional model (CEFM) for net atomic charges in alloys [E. Bruno et al., Phys. Rev. Lett. 91, 166401 (2003)]. We begin by deriving the CEFM energy function in order to elucidate the approximations which underpin this model. We thereafter consider the particular case of the CEFM in which the strength of the `local interactions' within all atoms are the same. We show that for binary alloys the ground state charges of this model can be expressed in terms of charge transfer between all pairs of unlike atoms analogously to the linear charge model [R. Magri et al., Phys. Rev. B 42, 11388 (1990)]. Hence the model considered is a generalization of the linear charge model for alloys containing more than two chemical species. We then determine the model's unknown `geometric factors' over a wide range of parameter space. These quantities are linked to the nature of charge screening in the model, and we illustrate that the screening becomes increasingly universal as the strength of the local interactions is increased. We then use the model to derive analytical expressions for various physical quantities, including the Madelung energy and the disorder broadening in the core level binding energies. These expressions are applied to ternary random alloys, for which it is shown that the Madelung energy and magnitude of disorder broadening are maximized at the composition at which the two species with the largest `electronegativity difference' are equal, while the remaining species having a vanishing concentration. This result is somewhat counterintuitive with regards to the disorder broadening since it does not...

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