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Re: [abinit-forum] Forces convergence


Chronological Thread 
  • From: Scott Beckman <spbeckman@gmail.com>
  • To: forum@abinit.org
  • Subject: Re: [abinit-forum] Forces convergence
  • Date: Wed, 29 Mar 2006 14:00:07 -0600
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Hello,

I believe that the question is in regards to the rate of convergence -- i.e. how large of a basis is needed for the absolute convergence of the total energy, versus charge density, forces, etc.

According to the VASP user guide the total energy converges faster than forces, so even if the total energy is converged there remains so-called "Pulay stresses" due to the truncated basis set. Pulay's paper on the subject was in regards to wavefunctions expanded in atomic orbitals not planewaves.

I've not systematically tested the convergence of forces and energy with respect to planewave cut-off, but it would be interesting to see such a study.

Scott


On Mar 29, 2006, at 12:11 PM, Michel Côté wrote:


I do not understand your question very well. Toldff converge the largest
force. If you have convergence up to 10-5 (5 digits), then it is normal that
forces on atom that are smaller still change with increasing the cutoff. In
other words, it is not the number of significant digit that is converged but
the absolute number.

Michel


Le 29/03/06 10:41, « Nuno Galamba » <ngalamba@cii.fc.ul.pt> a écrit :

Dear Abinit users

I have a simple question regarding the choice of ecut for an arbitrary system.

By doing a calculation for different values of ecut (say,
10,15,20,25,30,35,40,45,50 Hartrees) for a given value of toldff (say 10-4
Ha/Bohr) one can observe a plateau at which energy converges to.

Now the question is, say the energy is converged for ecut=30 Ha (meaning it
does not change up to the first 5 digits), in principle the Hellmann-Feynman
forces on every particle of the system should be converged too.

I am not quite sure this is the case. I observe that the force on the
particles of the system are not the same. These are of the order of 10-6
Ha/Bohr. Souldn't one expect some kind of convergence behavior for the force
on every particle when increasing systematically the number of plane waves
for a given calculation?

Thanks in advance



--
***************************************************************
Michel Cote tel: +1 (514) 343-5628
Professeur agrégé fax: +1 (514) 343-2071
Département de physique
Université de Montréal
C.P. 6128, succ. Centre-ville
Montréal (Québec) H3C 3J7 Michel.Cote@umontreal.ca
Canada www.phys.umontreal.ca/~michel_cote
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