On Aug 1, 2011, at 4:56 PM, mohaddeseh abbasnejad wrote:

> Dear Prof. Baroni
>  
> Thanks for your reply.
> I wonder shouldn't the plot show the same frequency for a range of 
> displacements?

what range? why should it?

> And the same freq. for the range to be the harmonic frequency? or the zero 
> displacement limit, is the harmonic frequency?

yes, by definition

> And when I test the displacements with the same amplitude, but different in 
> sign (regarding the inward and outward atomic movements in the basis) I do 
> not get the same results.

why should you?

> Shouldn't the plot have symmetry vs. the vertical axis?

why?

please, try you best to answer my questions, and I will make my best to let you 
understand

SB

>  
> Thank You again
> Mohaddeseh
> 
> 
> On Mon, Aug 1, 2011 at 6:33 PM, Stefano Baroni <baroni at sissa.it> wrote:
> Hi Mohaddesh. I do not understand why you say that the calculated frequency 
> (which, I assume you define as 2 * Delta E / u^2 ???) does not converge as 
> u->0. According to your plot, it does, and to a reasonable value. The finite 
> slope of your plot around u=0 seems to me nothing but a manifestation of 
> cubic anharmonicity ... What's wrong in this? SB
> 
> On Aug 1, 2011, at 3:01 PM, mohaddeseh abbasnejad wrote:
> 
>> 
>> Dear users,
>> 
>> I have plotted the harmonic frequency (obtained within the frozen phonon 
>> approach) of Diamond as a function of atomic displacements (small 
>> displacements in the [1 1 1] direction, u(1)=?(u,u,u) and u(2)=?(-u,-u,-u) 
>> are the displacements of two atoms in the basis). I expect to see a range of 
>> displacements that tend to the similar frequency, but there is no 
>> convergence in the plot. Also, the displacements with the same amplitude but 
>> different in sign, do not tend to the same frequency, which is not what I 
>> expect, too. The plot is attached. 
>> I was wondering if anyone could help me to find the source of error. I 
>> should expect the mentioned symmetry, right? Why there is no convergence?
>>  
>> Thanks in advance.
>>  
>> Yours,
>> Mohaddeseh
>> ---------------------------------------------------------
>> 
>> Mohaddeseh Abbasnejad, 
>> Room No. 323, Department of Physics, 
>> University of Tehran, North Karegar Ave.,
>> Tehran, P.O. Box: 14395-547- IRAN 
>> E-Mail:     m.abbasnejad at gmail.com
>> Website:  http://physics.ut.ac.ir
>> 
>> ---------------------------------------------------------
>> 
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> ---
> Stefano Baroni - SISSA  &  DEMOCRITOS National Simulation Center - Trieste
> http://stefano.baroni.me [+39] 040 3787 406 (tel) -528 (fax) / stefanobaroni 
> (skype)
> 
> La morale est une logique de l'action comme la logique est une morale de la 
> pens?e - Jean Piaget
> 
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> -- 
> ---------------------------------------------------------
> 
> Mohaddeseh Abbasnejad, 
> Room No. 323, Department of Physics, 
> University of Tehran, North Karegar Ave.,
> Tehran, P.O. Box: 14395-547- IRAN 
> Tel. No.: +98 21 6111 8634  & Fax No.: +98 21 8800 4781
> Cellphone: +98 917 731 7514
> E-Mail:     m.abbasnejad at gmail.com
> Website:  http://physics.ut.ac.ir
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---
Stefano Baroni - SISSA  &  DEMOCRITOS National Simulation Center - Trieste
http://stefano.baroni.me [+39] 040 3787 406 (tel) -528 (fax) / stefanobaroni 
(skype)

La morale est une logique de l'action comme la logique est une morale de la 
pens?e - Jean Piaget

Please, if possible, don't  send me MS Word or PowerPoint attachments
Why? See:  http://www.gnu.org/philosophy/no-word-attachments.html



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