Thank you for your kind reply




-----Original message-----
From: Nicolas Leconte <[email protected]>
Sent: Wednesday 12th August 2015 12:45
To: Siesta, Self-Consistent DFT LCAO program, http://www.uam.es/siesta 
<[email protected]>
Subject: Re: [SIESTA-L] When is convergence reached?

Correction to my previous email :

Then, find the smallest value of mesh-cutoff that fits this criterion (while 
making sure of course that larger cutoff values also fit the criterion). 
This smallest value is your converged mesh-cutoff.

On Wed, Aug 12, 2015 at 7:34 PM, Nicolas Leconte <[email protected] 
<mailto:[email protected]> > wrote:
Hi Stephan,

In short, it is completely up to you to decide when convergence is reached.

In long, yes, it is quite an arbitrary choice. However, you should let 
literature guide you what are usual convergence thresholds for the parameter of 
interest. Depending on the code, plane waves, numerical orbitals, etc, you can 
achieve better or worse accuracy (e.g., meV, micro-eV).

So, how to proceed? 

Do your calculations for different mesh-cutoffs, just as you did before. 

Do one extremely converged calculation, i.e. a very large value where you don't 
see any "sensible" change anymore in the numerical values. This concept of 
"sensible" is related to the code-dependent accuracy that I mentioned above.

Decide on your convergence criterion, absolute or relative, in comparison with 
this one calculation. These criteria can for instance be "0.1% error compared 
to that one calculation" or "within 10 meV error compared to that one 
calculation".

Then, find the value of meshcutoff that fits this criterion (while making sure 
of course that larger cutoff values also fit the criterion). 

And mention this convergence criterion in your publication!

Note that convergence studies should be done for the parameter of interest for 
your study. It's not because convergence is reached for the total energy that 
it will be the case for your bond-length, or your band-gap, or your phonon 
spectrum, etc... 
As a rule of thumb, energy usually converges much faster than the rest.

Good luck,
Nicolas





On Wed, Aug 12, 2015 at 7:12 PM, Mayuri Vaghela <[email protected] 
<mailto:[email protected]> > wrote:
when you take any convergence if you draw mesh-cutoff vs energy graph , you 
will get minima in the graph put that value of meshcutoff as your converged 
mesh cut off value 

On Tue, Aug 11, 2015 at 10:21 PM, <[email protected] 
<mailto:[email protected]> > wrote:
Hi Stephan,
it depends on how big is your unit cell and what you want to study.

> Hi,
>
> I've a question concerning the convergence criterion.
>
> Let's say I want to examine convergence of the total energy a system with
> respect to the meshcutoff.
>
> When is convergence reached? Is it reached when there is no change in the
> first digit after the comma
>
> like in the following example:
>
> meshcutoff         total energy
>
> 150              -42994.1019
>
> 170              -42994.116
>
> 190              -42994.127
>
> 210              -42994.133
>
>
>
> or is it usefull to continue the test till there is no change in the
> second digit after the comma?
>
> What is a sensible criterion for convergence?
>
>
>
> Thanks and regards
>
>
>
> Stephan Ludwig
>
>


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