Dear Michele,

I think what you are doing is (generally speaking) correct. Having the two 
in-plane lattice vectors larger than the diameter of the tube would allow for 
some "vacuum" between neighboring periodic images of our tube, so as to 
simulate to some extent an isolated tube. This is what is called the 
"supercell" technique. Note that the physical parameter to monitor is the ratio 
between the distance between neighboring tubes (i.e. the length of the in-plane 
lattice vectors) and the diameter of the tube, *NOT* the length of the lattice 
vector parallel to the cube.

As a general rule, you should check the convergence of the physical quantity 
you are interested in (be it the total energy, some orbital energies, some 
other physical properties ...) with respect to the inter-tube distance. The 
total energy, in particular, *HAS* to converge. If it does not, this means that 
you are doing something different from what you have described (and, probably, 
from what you think you are doing ...).

If 1 day of careful inspection of the input data and of the results, plus 
discussions with your peers and supervisor(s) does not produce any results, you 
may want to consider reverting to us with some more details on what is going on 
...

HTH - Stefano B

On Dec 14, 2011, at 2:07 PM, Michele Pisarra wrote:

> Dear QE users,
> I used QE to calculate the wave functins of several types of carbon 
> nanotubes. To simulate the 1D nature of this system I used cell parameters 
> such that two of the lattice displacement vectors are much larger than the 
> other one. However this choice lead to a reciprocal space with two very small 
> vectors and so to a very large number of plane waves in the basis set, ecut 
> being fixed. I need to reduce the number of plane waves as much as possible. 
> I tried to make different runs using different lengths for the two 
> "irrelevant" vectors and I found that decreasing this lenght decreases the 
> total energy. However I don't think that the total energy is the good 
> parameter to look at in my case, because the decreasing of the total energy 
> can be due to the interaction between the replica of the system that I want 
> to be zero. So I need a criterion to find the best configuration. Can anyone 
> help me?
> Thank you.
>  
> Michele Pisarra, PhD Student,
> Dipartimento di Fisica, Universit? della Calabria
> Via P. Bucci, Cubo 31 C VI piano, 87036, Rende (CS), Italy
>  
> 
> 
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---
Stefano Baroni - SISSA  &  DEMOCRITOS National Simulation Center - Trieste
http://stefano.baroni.me [+39] 040 3787 406 (tel) -528 (fax) / stefanobaroni 
(skype)

La morale est une logique de l'action comme la logique est une morale de la 
pens?e - Jean Piaget

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