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kekemi_1127

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[求助] 电子亲和势和电离势与HOMO和LUMO 有什么关系?

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书万里

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kekemi_1127: 金币+5, ★★★★★最佳答案, 谢谢, 2012-04-13 19:21:32
HOMO越大,电离能越大。LUMO越大,电子亲和能越大。
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2楼2012-04-13 15:34:21
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kekemi_1127

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引用回帖:
2楼: Originally posted by 书万里 at 2012-04-13 15:34:21:
HOMO越大,电离能越大。LUMO越大,电子亲和能越大。

请问有没有相关文献可以学习的?
3楼2012-04-13 19:21:11
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septembersky

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This is not an easy question. Please refer to this reference
Dmitrij Rappoport, Nathan R. M. Crawford, Filipp Furche and Kieron Burke "Approximate Density Functionals: Which Should I Choose?"
http://onlinelibrary.wiley.com/doi/10.1002/0470862106.ia615/pdf
On pg. 8
Perhaps the most useful property of an insulating solid to predict is its fundamental gap. This is I − A, the difference between ionization energy and electron affinity for a macroscopic chunk of that solid. This gap would be given exactly by adding and removing an electron from such a chunk, if we had the exact XC functional. On the other hand, the KS band gap, defined as the HOMO–LUMO difference, is not equal to the fundamental band gap, even with the exact XC.109 Although the HOMO energy computed with the exact XC functional is equal to the negative ionization potential I, the LUMO energy is not equal to the electron affinity A, even when the exact functional is used. In general, the KS band gap is smaller than the fundamental gap and, in an extreme case (Mott insulator), can vanish, while correlation effects still make the solid an insulator.
4楼2012-04-13 23:14:40
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necturnal

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引用回帖:
3楼: Originally posted by kekemi_1127 at 2012-04-13 19:21:11:
请问有没有相关文献可以学习的?

这个应该是Koopmans' theorem的结论。关于Koopmans' theorem,我是从“Modern Quantum Chemistry Introduction to Advanced Electronic Structure Theory"这本书的第三章HF近似里面读到的。 国内不知道可以不可以找到这本书,我觉得这本书挺好。
5楼2012-04-14 08:26:57
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mayongma

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引用回帖:
2楼: Originally posted by 书万里 at 2012-04-13 15:34:21
HOMO越大,电离能越大。LUMO越大,电子亲和能越大。

你指的HOMO和LUMO,是他们的绝对值吧?
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6楼2014-11-14 16:28:48
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