Hi Eduardo,

TPSS does not significantly change the DFT band gap with respect to PBE.  See 
these papers:
http://dx.doi.org/10.1063/1.3698285
http://dx.doi.org/10.1063/1.3076922
http://dx.doi.org/10.1063/1.1760074

PBE pseudopotentials have usually been used with HSE since HSE's correlation is 
the same as PBE.  See, for example:
http://dx.doi.org/10.1063/1.4722993 

The pseudopotentials in PW/examples/EXX_example/pseudos are all RRKJ-type PBE 
pseudopotentials.  

The first paper I mentioned tested a large number of functionals on a fairly 
large number of systems.  If you don't like Gaussian basis sets, there is also 
this paper (no meta-GGAs, though):
http://dx.doi.org/10.1063/1.3524336

Enjoy your exploration of the wide world of density functionals!

--William

*********************************************************
  William D. Parker              phone: +1 (630) 252-3388
  Argonne Scholar
  Argonne Leadership Computing Facility
  Building 240, Office 1-D.26
  Argonne National Laboratory
  9700 S. Cass Ave.
  Argonne, IL 60439
  U.S.A.
*********************************************************

On Sep 26, 2012, at 6:09 AM, Eduardo Ariel Menendez Proupin wrote:

> Dear fellows, 
> 
> I am swimming (but not diving yet) in the sea of hybrid functionals. I need 
> to estimate bandgap corrections of a crystal made of benzene-like molecules. 
> After some googling, I am almost at the same place, but looking to the HSE 
> functional, and I tested the HSE and the TPSS with the example of silicon. I 
> request a few advise, these are my dubts
> 
> 1) Does the metaGGA functional TPSS improves the bandgap ?
> 
> 2) What  pseudopotential (i.e. what functional) can be used for a calculation 
> with HSE?
> 
> 3) What kind of pseudoptential are the CPBE*nlcc.RRKJ3 in   EXX_example
> 
> 4) I would appreciate a recommendation of a published benchmark on the 
> performance of different functionals for the gap. 
> 
> Thanks
> 
> -- 
> 
> 
> Eduardo Menendez Proupin
> Departamento de Qu?mica Fisica Aplicada
> Facultad de Ciencias
> Universidad Aut?noma de Madrid
> 28049 Madrid, Spain
> Phone: +34 91 497 6706
> 
> On leave from: Departamento de Fisica, Facultad de Ciencias, Universidad de 
> Chile URL: http://fisica.ciencias.uchile.cl/~emenendez
> 
> "Padece, espera y trabaja para gentes que nunca conocer? y que a su vez 
> padecer?n, esperar?n y trabajar?n para otros, que tampoco ser?n felices, pues 
> el hombre ans?a siempre una felicidad situada m?s all? de la porci?n que le 
> es otorgada. Pero la grandeza del hombre est? precisamente en querer mejorar 
> lo que es. En imponerse Tareas. En el Reino de los Cielos no hay grandeza que 
> conquistar, puesto que all? todo es jerarqu?a establecida, inc?gnita 
> despejada, existir sin t?rmino, imposibilidad de sacrificio, reposo y 
> deleite. Por ello, agobiado de penas y de Tareas, hermoso dentro de su 
> miseria, capaz de amar en medio de las plagas, el hombre puede hallar su 
> grandeza, su m?xima medida en el Reino de este Mundo".
> Alejo Carpentier, El reino de este mundo, (1949).
> 
> "...man never knows for who he suffers and waits. He suffers and waits and 
> works for peoples he will never meet, and who at the same time will suffer 
> and wait and work for others who will also not be happy, as man always 
> desires a happiness that is beyond the lot that he is given. But the 
> greatness of man is precisely in wanting to improve what he is. In assigning 
> himself Tasks. In the Kingdom of Heaven there is no greatness to conquer, for 
> everything there is an established hierarchy, the unknown is unobscured, 
> existence is without end, sacrifice, rest, and delight are impossibilities. 
> Therefore, overwhelmed with hardships and Tasks, beautiful within his misery, 
> capable of loving in the middle of calamity, man can only find his greatness, 
> his full self-realization, in the Kingdom of this World." - Alejo Carpentier
> 
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