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same PAOs
Date: 2012/08/25 07:06
Name: Julio Aguiar   <jaguiar@arn.gob.ar>

Dear all users:

I am observing similar pseudo-valence wavefunctions obtained using openmx for any element with valence electrons in shell l = 0. Example: the PAO 2s2 of Beryllium is similar to 4s2 of zinc. Is it correct?. The same can be observed for elements with valence shell l = 1, and l = 2. Are really the PAOs independent of the principal quantum number?.

Thank you for your reply.

Julio
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Re: same PAOs ( No.1 )
Date: 2012/08/28 17:52
Name: T. Ozaki

Hi,

Each element has different radial functions.

For example, the radial function of Be is found at
http://www.jaist.ac.jp/~t-ozaki/vps_pao2011/Be/Be7.0.pao

and you can see
<pseudo.atomic.orbitals.L=0
-8.000000000000000 0.000335462627903 0.273377733942556 ......

where the 3rd column is the first radial function for L=0.

On the other hand, the radial function of Zn is found at
http://www.jaist.ac.jp/~t-ozaki/vps_pao2011/Zn/Zn_Soft/Zn6.0S.pao

and you can see
<pseudo.atomic.orbitals.L=0
-8.199999999999999 0.000274653569972 0.162499831443025 .....

where the 3rd column is the first radial function for L=0.

So, one can easily confirm that they are different from each other.

Regards,

TO
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Re: same PAOs ( No.2 )
Date: 2012/08/29 03:06
Name: Julio Aguiar  <jaguiar@arn.gob.ar>

Dear Dr. Ozaki:

I am totally agree with you, I find "similar form", not equal. Moreover, I am referring the results of calculation with openmx. A new calculation shows: the PAO 2s2 of Beryllium is "similar form" to 6s2 of Tungsten. This may be correct or is it a mere coincidence?.
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Re: same PAOs ( No.3 )
Date: 2012/08/29 09:20
Name: T. Ozaki

Hi,

The first function for L=0 does not have node for any element, and they are generated
by a norm-conserving pseudopotential method. So, if the cutoff radius is the same as
that for others, they look similar more or less.

Regards,

TO
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Re: same PAOs ( No.4 )
Date: 2012/09/03 23:59
Name: Julio Aguiar  <jaguiar@arn.gob.ar>


Dear Dr. Ozaki:

It has been helpful, thank you very much.
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