Dear all,

Regarding the ‘scissor’ operator, when I was a PhD student working on molecular 
systems with programs using Slater types of orbitals (ADF), I sometimes had to 
use the so-called ‘level-shift’ trick to facilitate the SCF convergence (it 
avoids the swapping of occupied/unoccupied orbitals from one step to the next 
when the gap is small). If I am right, correct me if I am wrong, this 
level-shift trick ressembles a lot the ‘scissor’ operator. 

Best,
Pascal


Pascal Boulet
—
Professor in computational materials chemistry - DEPARTMENT OF CHEMISTRY
University of Aix-Marseille - Avenue Escadrille Normandie Niemen - F-13013 
Marseille - FRANCE
Tél: +33(0)4 13 55 18 10 - Fax : +33(0)4 13 55 18 50
Email : [email protected] <mailto:[email protected]>










> Le 5 nov. 2021 à 02:57, Kazume NISHIDATE <[email protected]> a écrit :
> 
> 
> 
> > So, a new calculation of the bandgap was performed with HSE to obtain
> > the difference between Egap HSE and Egap PBE.
> 
> Ok, they used the 'scissor' operator to correct the PBE dielectric constant.
> 
> > If I remember the explanation, this value is added in the optical
> > results to push all the results obtained with PBE toward the value
> > that could be found using the HSE functional.
> 
> And they concluded that the correction was small despite the
> underestimation tendency of the E_g_PBE (left column, p4).
> 
> > What do you suggest to me? What value should I use instead of the
> > 2x2x2?
> 
> The 2x2x2 k-mesh must be used for the 'scf' calculation.  And then you 
> should try to evaluate the band structure along the specific k-point
> path with the 'bands' (non-scf) calculation. This is the procedure they
> used to evaluate the bands.
> 
> Have you ever done a band structure calculation of simple
> semiconductor crystal? You should once try to draw a band structure 
> of Si (diamond structure) so that you can understand the procedure.
> 
> 
> 
> best regards
> kazume NISHIDATE
> 敬具 西館数芽
> 
> [email protected] <mailto:[email protected]>
> [email protected] <mailto:[email protected]>
> 
> 
> 2021年11月5日(金) 9:23 José Xavier <[email protected] 
> <mailto:[email protected]>>:
> Dear, 
> About the 'scissor', it was used because a reviewer asked to also perform the 
> calculations with a hybrid functional. So, a new calculation of the bandgap 
> was performed with HSE to obtain the difference between Egap HSE and Egap 
> PBE. If I remember the explanation, this value is added in the optical 
> results to push all the results obtained with PBE toward the value that could 
> be found using the HSE functional. So, 3.8 eV is the bandgap with PBE, while 
> the HSE result is 4.7 eV.
> 
> >In other wards, you should correctly plot the band structure along typical 
> >k-points to
> find the 'reasonable' band gaps.
> 
> What do you suggest to me? What value should I use instead of the 2x2x2?
> 
> 
> Best Wishes
> José Xavier
> 
> Em quinta-feira, 4 de novembro de 2021 07:27:48 BRT, Kazume NISHIDATE 
> <[email protected] <mailto:[email protected]>> escreveu: 
> 
> 
> 
> 
> 
> Dear Stefano:
> > For isolated molecules, smearing helps dumping the convergence
> > oscillations arising from HOMO-LUMO level crossings.
> 
> I did not know it.
> Thank you for the information.
> 
> 
> Dear José Xavier,
> > The band gap for Dopamine was 3.8 eV, and the other papers published
> >  by them showed values between 3-5 eV. That is why I have asked
> 
> According to the paper you mentioned, they utlized the 'scissor'
> correction on the band gap,
> 
>  E_g_scissor = E_g_HSE - E_g_PBE
> 
> This should be the possible reason of the discrepancies.
> 
> It is somewhat empirical way, but surprisingly, it looks me work for some
> transition oxide materials, according to their paper. As far as I know,
> the 'scissor' method is not well recognized in the DFT community.
> #This is the first time I have ever heard of.
> 
> And there is one other point. The valence band maximum (VBM), which
> corresponds to the HOMO, is located at the Y point in the BZ (see
> Fig.2 of the paper).  To estimate correctly the gap from the DOS
> analysis, it must include the contribution from the Y point.  The
> 2x2x2 mesh you mentioned is apparently insufficient.  In other wards,
> you should correctly plot the band structure along typical k-points to
> find the 'reasonable' band gaps.
> 
> 
> 
> best regards
> kazume NISHIDATE
> 敬具 西館数芽
> 
> [email protected] <mailto:[email protected]>
> [email protected] <mailto:[email protected]>
> 
> 
> 
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