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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