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luqing6879

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[求助] What is the difference between NAO and ANO?

What is the difference between Natural Atomic Orbitals and Atomic Natural Orbitals?
And what is the relationship with NBO?

So confused.

By the way, what is the density matrix? How to comprehend it? Can anyone give me a simple and plain interpretation?

Thanks for help.

[ Last edited by luqing6879 on 2012-3-10 at 05:49 ]
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luqing6879

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4楼: Originally posted by coolrainbow at 2012-03-18 10:18:58:
1 Density matrix 不是 density,所以不是
对于单行列式,密度矩阵可以理解为一个以轨道指标为指标,轨道占据数为值的矩阵呢

2 我似乎更倾向于认为ANO是一种基组(一种缩合度极高的基组),而不是NAO的某种“ ...

I saw the saying "轨道占据数为值" somewhere.

But, since the volume is  a constant, so the matrix can be divided by V and be considered as density representation, isn't it? Otherwise why do people call it density matrix?

So what are the elements in a density matrix?
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7楼2012-03-19 11:47:44
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sobereva

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【答案】应助回帖

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感谢参与,应助指数 +1
gmy1990(金币+3): 2012-03-11 09:57:55
luqing6879(金币+20): ★★★很有帮助 等我看完再继续向您请教。^_^ 2012-03-11 12:14:56
NAO(具体来说是Cor及Val型NAO)是一种从分子环境中还原出的原子轨道。ANO是单原子体系的自然轨道。
对于单原子体系来说,ANO和NAO是一样的。
NBO是对以NAO为基描述的密度矩阵进一步分析得到的一套高定域性轨道。
密度矩阵的两个资料放在附件里了,讲得还是比较清楚的。

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2楼2012-03-10 22:56:48
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luqing6879

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引用回帖:
2楼: Originally posted by sobereva at 2012-03-10 22:56:48:
NAO(具体来说是Cor及Val型NAO)是一种从分子环境中还原出的原子轨道。ANO是单原子体系的自然轨道。
对于单原子体系来说,ANO和NAO是一样的。
NBO是对以NAO为基描述的密度矩阵进一步分析得到的一套高定域性轨道 ...

1 density matrix
   Can I say that Slater determinant multiples its conjugate determinant giving density matrix?

2 对于单原子体系来说,ANO和NAO是一样的。
  For  a polyatomic molecule case, what is the difference between them? I pictured ANO as s p d.. orbitals on atoms. But I have difficulty to picture NAO. Do they differ in exponents of radius function? Or different angular functions?

3  How to picture NBO? Giving 1-3 buta-di-ene as example, can I say that electron clouds surrounding 1,2 carbons and 3,4 carbons are NBO?
  
Many thanks!
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3楼2012-03-18 04:18:10
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coolrainbow

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gmy1990: 金币+2 2012-03-18 15:08:49
引用回帖:
3楼: Originally posted by luqing6879 at 2012-03-18 04:18:10:
1 density matrix
   Can I say that Slater determinant multiples its conjugate determinant giving density matrix?

2 对于单原子体系来说,ANO和NAO是一样的。
  For  a polyatomic molecule case, wh ...

1 Density matrix 不是 density,所以不是
对于单行列式,密度矩阵可以理解为一个以轨道指标为指标,轨道占据数为值的矩阵呢

2 我似乎更倾向于认为ANO是一种基组(一种缩合度极高的基组),而不是NAO的某种“同义词”
技术博客:http://hi.baidu.com/coolrainbow/blog
4楼2012-03-18 10:18:58
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