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arXiv 1901.04007physics.atm-clus
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C60富勒烯壳层的单极极化

Monopole polarization of C60 fullerene shell

M. Ya. Amusia, A. S. Baltenkov

摘要:

利用泊松方程分析了构成C60富勒烯壳层静电势的碳原子核壳层的正电荷和电子云的负电荷的空间分布。我们还考虑了当一个额外的正电荷出现在C 60内部的情况,例如在一个内面A@C的光电离过程中。我们表明,经常使用的径向方阱势U(r)模拟C60壳层导致非物理的壳层的电荷密度在这两种情况下-没有和有一个额外的正电荷内。我们的结论是,通过增加一个类似库仑势的项修改的方阱U(r)不描述壳层的内部极化的电荷位于中心的C60壳层。我们提出了另一种模型势,即双曲余弦型势,适当调整参数,能够描述C_(60)壳层的双曲极化。作为具体的例子,我们在建议的模型框架下计算了考虑壳层极化的H@C60的光电离截面。我们证明,适当的帐户,这种偏振不改变光电离截面。

英文摘要:

We analyze using Poisson equation the spatial distributions of the positive charge of carbon atomic nuclei shell and negative charge of electron clouds forming the electrostatic potential of the C60 fullerene shell as a whole. We consider also the case when an extra positive charge appears inside C60 in course of e.g. photoionization of an endohedral A@C. We demonstrate that frequently used radial square-well potential U(r) simulating the C60 shell leads to nonphysical charge densities of the shell in both cases - without and with an extra positive charge inside. We conclude that the square well U(r) modified by adding a Coulomb-potential-like term does not describe the interior polarization of the shell by the electric charge located in the center of the C60 shell. We suggest another model potential, namely that of hyperbolic cosine shape with properly adjusted parameters that is able to describe the monopole polarization of C60 shell. As a concrete illustration, we have calculated the photoionization cross-sections of H@C60 taking into account the monopole polarization of the shell in the frame of suggested model. We demonstrate that proper account of this polarization does not change the photoionization cross-section.

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