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Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude
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- From: Emmanuel Arras <emmanuel.arras@cea.fr>
- To: forum@abinit.org
- Subject: Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude
- Date: Wed, 19 Aug 2009 11:52:49 +0200
ok, my mistake, the phase is important. It is the actual phase applied on each atom of the unit cell in the collective displacements. I thought there could not be such a phase, but it does if there are bonds with different rigidity. And indeed one must be able to give informations about bond strenght from these phases.
(Hope that time I'm right)
Thank you for your time and sorry for this " basic " question.
Xavier Gonze a écrit :
Dear Emmanuel,
The eigenmode characterizing a phonon should always be thought as a collective pattern of displacements
describing oscillations with time. The phases (or the real and imaginary components) are important, as they will describe
the atomic displacements with a form like
a_r * cos (omega*t) + a_i * sin (omega*t)
As suggested by Nishimatsu-san, please read a basic textbook about phonons (and normal modes of vibrations).
Best regards,
Xavier
On 18 Aug 2009, at 19:54, Emmanuel Arras wrote:
Thanks for the reference,
As I understand it, the comlpex phase it is simply the phase associated with the fourrier transform, that is the action of q.r in the primitive cell ( D(k)=D(-k)* ). So I would say it is useless since the information is already known via q and the atomic positions.
As for the absolute amplitude, it seems to be simply a renormalization factor taking into account the number of atoms, their mass and the frequency of the phonon.
Thank you again.
Takeshi NISHIMATSU a écrit :
Emmanuel,
You should read a basic textbook on solid state
physics and phonon. Par exemple, CHAPTER 3 of
"Theoretical Solid State Physics, Vol.1: Perfect
Lattices in Equilibrium" by William Jones and
Norman H. March.
when I compute phonons, for each mode, the atomique displacementvectors' coordinates are givenHint: D(k) and D(-k)
by complexe numbers (in anaddb.out,since my _PHVEC file is empty whatever eivec but
that'sanother problem). I get that the norm of these complexes are thecoordinates of the
atomique displacementvectors, but I wonder what is the meaning of the complexe phaseassociated.
:
Bonne chance,
--
Emmanuel ARRAS
L_Sim (Laboratoire de Simulation Atomistique)
SP2M / INAC
CEA Grenoble
tel : 00 33 (0)4 387 86862
--
Emmanuel ARRAS
L_Sim (Laboratoire de Simulation Atomistique)
SP2M / INAC
CEA Grenoble
tel : 00 33 (0)4 387 86862
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Emmanuel Arras, 08/18/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Takeshi NISHIMATSU, 08/18/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Emmanuel Arras, 08/18/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Xavier Gonze, 08/18/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Emmanuel Arras, 08/19/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Xavier Gonze, 08/18/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Emmanuel Arras, 08/18/2009
- Re: [abinit-forum] phonons atomique displacements, complexe phase and amplitude, Takeshi NISHIMATSU, 08/18/2009
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