Hi Martin, 

Thanks for this information. The optical mesh in Siesta is 
then simply a set of k-points at which the intraband transitions for 
evaluating eps(w) are calculated, and its refinement allows
approximating  the volume integral over the Brillouin zone with a higher 
accuracy - am I correct?

Suppose, I calculate the properties of a solid using a 5x5x5 Optical.Mesh, then 
10x10x10, then ...  60x60x100, and first
I find big variations in eps(w) for between 5^3 and 10^3. Then, as Optical.Mesh 
becomes denser, I find that eps(w) have converged to 
some "steady state solution". Does this mean that the variations
in eps(w) at low k-point density are due to the insufficient sampling rate and 
as the sampling rate increases, I have a more accurate 
value of the integral over the BZ?

Andrey



-----Original Message-----
>From: Martin Blaber <[EMAIL PROTECTED]>
>Sent: Jul 19, 2007 6:47 PM
>To: [email protected]
>Subject: Re: [SIESTA-L] Optical.Mesh
>
>Hi Andrey,
>
>For bulk materials a Monkhorst Pack grid of 21^3 is sufficient to stop 
>the eps(w) for a constant optical mesh (Depending on the system). 
>Whereas an optical mesh grid of 41^3 vs 45^3 still shifts eps(w) around 
>a bit for constant Monkhorst Pack grid. The broadening also affects what 
>can be considered converged. I generally keep the optical broadening 
>very low as you can always broaden more but never less. However, this 
>does mean an optical mesh of 45 isn't sufficient for convergence. Hope 
>this helped.
>
>
>Cheers,
>Marty
>
>---------------------
>Martin Blaber
>Institute for Nanoscale Technology
>Dept. of Physics and Advanced Materials
>University of Technology, Sydney
>
>
>
>[EMAIL PROTECTED] wrote:
>
>Hi all, 
>
>I am trying to find some description of the Optical.Mesh variable
>which is more detailed than the one given in the Siesta manual.
>Some of my colleagues insist that the convergence of optical properties
>eps(w) with respect to the number of k-points in the integral wrt 
>k over the BZ has to be shown not based on the vaues in the Optical.Mesh but 
>rather based on the values of MonkhorstPack_grid.  How can I prove the 
>opposite, i.e. that BZ sampling grid refinement for optical property 
>calculations must be based on the Optical.Mesh variable? 
>
>Thanks,
>
>Andrey Semichaevsky, 
>CEMOS, ECE Dept., UMass Lowell


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