Dear Dan

When you compare experimental results and DFT-based results you must be very careful and you must know very well the limits of theory itself and the limits of the specitic exchange-correlation functional you apply. In your case:

1) you are comparing Kohn-Sham orbitals, a single-particle auxiliary basis having no strict relationship with physical quantities, with an intrinsically many-body excitation or ionization process.

2) your PBE functional suffers a strong delocalization error. So even if you trust in the assignment of binding energies to Kophn-Sham orbitals (which is not entirely correct), you are strongly overestimating orbitals energies.

You can recover an acceptable description of small isolated systems such as molecules by using, for example, the CAM-B3LYP functional, which is unfortunately not available in plane-wave codes like QE. For a decent description you should use a PBE0 or B3LYP functional together with the assume_isolated='mt' option which decouples the electrostatic interaction of the water dipole with its periodicaly repeated images.
HTH
Giuseppe

Dan Gil <dan.gil9...@gmail.com> ha scritto:

Hi,

I am trying out a DOS calculation for a molecule of water, however, my
results are very inaccurate compared to literature (
http://www1.lsbu.ac.uk/water/water_methods.html). I was wondering if you
could give me some advice on improving my results. I am expecting states at
-14, -15, -19, and -37 eV. Instead, I am getting states at -7, -9, -13, and
-25 eV.

I am first carrying out an SCF calculation of a water molecule (pw.x) and
then obtaining the density of states (dos.x). The structure of water is
already relaxed.

The relevant files are contained below.

- - - - - -water.pw.in
&control
    calculation='scf',
    wf_collect = .true. ,
    outdir = 'water' ,
    restart_mode = 'from_scratch' ,
    pseudo_dir = 'pseudo' ,
    disk_io = 'low' ,
    verbosity = 'low' ,
    max_seconds = 68000 ,
 /
 &system
    ibrav = 4,
    celldm(1)=19.174,
    celldm(3)=1,
    nat = 3 ,
    ntyp = 2 ,
    ecutwfc = 70.0,
    ecutrho = 560.0,
    smearing='gaussian',
    occupations='fixed',
 /
 &electrons
    diagonalization='david',
    mixing_mode = 'local-TF',
 /
 &ions
 /
ATOMIC_SPECIES
O    15.999   O.pbe-n-rrkjus_psl.1.0.0.UPF
H    1.00794  H.pbe-rrkjus_psl.1.0.0.UPF
ATOMIC_POSITIONS crystal
H        0.003478196   0.090739324   0.224999603
H        0.090739324   0.003478196   0.224999603
O        0.105782480   0.105782480   0.225000794
K_POINTS gamma
- - - - - -

- - - - - - get.dos.in
 &dos
                      outdir = 'water' ,
                     DeltaE  = .1
 /
- - - - - -

- - - - - - pwscf.dos
#  E (eV)   dos(E)     Int dos(E) EFermi =   0.000 eV
 -25.473  0.1393E-02  0.1393E-03
 -25.373  0.2067E+00  0.2081E-01
 -25.273  0.4151E+01  0.4359E+00
 -25.173  0.1128E+02  0.1564E+01
 -25.073  0.4151E+01  0.1979E+01
 -24.973  0.2067E+00  0.2000E+01
 -24.873  0.1393E-02  0.2000E+01
 -24.773  0.1270E-05  0.2000E+01
 -24.673  0.1567E-09  0.2000E+01
 -24.573  0.2617E-14  0.2000E+01
 -24.473  0.5916E-20  0.2000E+01
 -24.373  0.1810E-26  0.2000E+01
 -24.273  0.7492E-34  0.2000E+01
 -24.173  0.4198E-42  0.2000E+01
 -24.073  0.3183E-51  0.2000E+01
 -23.973  0.3266E-61  0.2000E+01
 -23.873  0.4536E-72  0.2000E+01
 -23.773  0.8994E-84  0.2000E+01
 -23.673  0.6246E-85  0.2000E+01
 -23.573  0.6246E-85  0.2000E+01
 -23.473  0.6246E-85  0.2000E+01
 -23.373  0.6246E-85  0.2000E+01
 -23.273  0.6246E-85  0.2000E+01
 -23.173  0.6246E-85  0.2000E+01
 -23.073  0.6246E-85  0.2000E+01
 -22.973  0.6246E-85  0.2000E+01
 -22.873  0.6246E-85  0.2000E+01
 -22.773  0.6246E-85  0.2000E+01
 -22.673  0.6246E-85  0.2000E+01
 -22.573  0.6246E-85  0.2000E+01
 -22.473  0.6246E-85  0.2000E+01
 -22.373  0.6246E-85  0.2000E+01
 -22.273  0.6246E-85  0.2000E+01
 -22.173  0.6246E-85  0.2000E+01
 -22.073  0.6246E-85  0.2000E+01
 -21.973  0.6246E-85  0.2000E+01
 -21.873  0.6246E-85  0.2000E+01
 -21.773  0.6246E-85  0.2000E+01
 -21.673  0.6246E-85  0.2000E+01
 -21.573  0.6246E-85  0.2000E+01
 -21.473  0.6246E-85  0.2000E+01
 -21.373  0.6246E-85  0.2000E+01
 -21.273  0.6246E-85  0.2000E+01
 -21.173  0.6246E-85  0.2000E+01
 -21.073  0.6246E-85  0.2000E+01
 -20.973  0.6246E-85  0.2000E+01
 -20.873  0.6246E-85  0.2000E+01
 -20.773  0.6246E-85  0.2000E+01
 -20.673  0.6246E-85  0.2000E+01
 -20.573  0.6246E-85  0.2000E+01
 -20.473  0.6246E-85  0.2000E+01
 -20.373  0.6246E-85  0.2000E+01
 -20.273  0.6246E-85  0.2000E+01
 -20.173  0.6246E-85  0.2000E+01
 -20.073  0.6246E-85  0.2000E+01
 -19.973  0.6246E-85  0.2000E+01
 -19.873  0.6246E-85  0.2000E+01
 -19.773  0.6246E-85  0.2000E+01
 -19.673  0.6246E-85  0.2000E+01
 -19.573  0.6246E-85  0.2000E+01
 -19.473  0.6246E-85  0.2000E+01
 -19.373  0.6246E-85  0.2000E+01
 -19.273  0.6246E-85  0.2000E+01
 -19.173  0.6246E-85  0.2000E+01
 -19.073  0.6246E-85  0.2000E+01
 -18.973  0.6246E-85  0.2000E+01
 -18.873  0.6246E-85  0.2000E+01
 -18.773  0.6246E-85  0.2000E+01
 -18.673  0.6246E-85  0.2000E+01
 -18.573  0.6246E-85  0.2000E+01
 -18.473  0.6246E-85  0.2000E+01
 -18.373  0.6246E-85  0.2000E+01
 -18.273  0.6246E-85  0.2000E+01
 -18.173  0.6246E-85  0.2000E+01
 -18.073  0.6246E-85  0.2000E+01
 -17.973  0.6246E-85  0.2000E+01
 -17.873  0.6246E-85  0.2000E+01
 -17.773  0.6246E-85  0.2000E+01
 -17.673  0.6246E-85  0.2000E+01
 -17.573  0.6246E-85  0.2000E+01
 -17.473  0.6246E-85  0.2000E+01
 -17.373  0.6246E-85  0.2000E+01
 -17.273  0.6246E-85  0.2000E+01
 -17.173  0.6246E-85  0.2000E+01
 -17.073  0.6246E-85  0.2000E+01
 -16.973  0.6246E-85  0.2000E+01
 -16.873  0.6246E-85  0.2000E+01
 -16.773  0.6246E-85  0.2000E+01
 -16.673  0.6246E-85  0.2000E+01
 -16.573  0.6246E-85  0.2000E+01
 -16.473  0.6246E-85  0.2000E+01
 -16.373  0.6246E-85  0.2000E+01
 -16.273  0.6246E-85  0.2000E+01
 -16.173  0.6246E-85  0.2000E+01
 -16.073  0.6246E-85  0.2000E+01
 -15.973  0.6246E-85  0.2000E+01
 -15.873  0.6246E-85  0.2000E+01
 -15.773  0.6246E-85  0.2000E+01
 -15.673  0.6246E-85  0.2000E+01
 -15.573  0.6246E-85  0.2000E+01
 -15.473  0.6246E-85  0.2000E+01
 -15.373  0.6246E-85  0.2000E+01
 -15.273  0.6246E-85  0.2000E+01
 -15.173  0.6246E-85  0.2000E+01
 -15.073  0.6246E-85  0.2000E+01
 -14.973  0.6246E-85  0.2000E+01
 -14.873  0.6246E-85  0.2000E+01
 -14.773  0.6246E-85  0.2000E+01
 -14.673  0.6246E-85  0.2000E+01
 -14.573  0.6246E-85  0.2000E+01
 -14.473  0.6246E-85  0.2000E+01
 -14.373  0.6326E-85  0.2000E+01
 -14.273  0.1156E-73  0.2000E+01
 -14.173  0.1102E-62  0.2000E+01
 -14.073  0.1422E-52  0.2000E+01
 -13.973  0.2484E-43  0.2000E+01
 -13.873  0.5870E-35  0.2000E+01
 -13.773  0.1878E-27  0.2000E+01
 -13.673  0.8127E-21  0.2000E+01
 -13.573  0.4761E-15  0.2000E+01
 -13.473  0.3775E-10  0.2000E+01
 -13.373  0.4050E-06  0.2000E+01
 -13.273  0.5881E-03  0.2000E+01
 -13.173  0.1156E+00  0.2012E+01
 -13.073  0.3074E+01  0.2319E+01
 -12.973  0.1106E+02  0.3426E+01
 -12.873  0.5389E+01  0.3964E+01
 -12.773  0.3553E+00  0.4000E+01
 -12.673  0.3170E-02  0.4000E+01
 -12.573  0.3827E-05  0.4000E+01
 -12.473  0.6255E-09  0.4000E+01
 -12.373  0.1383E-13  0.4000E+01
 -12.273  0.4140E-19  0.4000E+01
 -12.173  0.1677E-25  0.4000E+01
 -12.073  0.9192E-33  0.4000E+01
 -11.973  0.6820E-41  0.4000E+01
 -11.873  0.6847E-50  0.4000E+01
 -11.773  0.9304E-60  0.4000E+01
 -11.673  0.1711E-70  0.4000E+01
 -11.573  0.4263E-82  0.4000E+01
 -11.473  0.6246E-85  0.4000E+01
 -11.373  0.6246E-85  0.4000E+01
 -11.273  0.6246E-85  0.4000E+01
 -11.173  0.6246E-85  0.4000E+01
 -11.073  0.6246E-85  0.4000E+01
 -10.973  0.6246E-85  0.4000E+01
 -10.873  0.6246E-85  0.4000E+01
 -10.773  0.6246E-85  0.4000E+01
 -10.673  0.6246E-85  0.4000E+01
 -10.573  0.8307E-84  0.4000E+01
 -10.473  0.4196E-72  0.4000E+01
 -10.373  0.3039E-61  0.4000E+01
 -10.273  0.2979E-51  0.4000E+01
 -10.173  0.3953E-42  0.4000E+01
 -10.073  0.7098E-34  0.4000E+01
  -9.973  0.1725E-26  0.4000E+01
  -9.873  0.5672E-20  0.4000E+01
  -9.773  0.2525E-14  0.4000E+01
  -9.673  0.1521E-09  0.4000E+01
  -9.573  0.1240E-05  0.4000E+01
  -9.473  0.1368E-02  0.4000E+01
  -9.373  0.2042E+00  0.4021E+01
  -9.273  0.4126E+01  0.4434E+01
  -9.173  0.1128E+02  0.5562E+01
  -9.073  0.4176E+01  0.5979E+01
  -8.973  0.2092E+00  0.6000E+01
  -8.873  0.1418E-02  0.6001E+01
  -8.773  0.1301E-05  0.6001E+01
  -8.673  0.1615E-09  0.6001E+01
  -8.573  0.2713E-14  0.6001E+01
  -8.473  0.6170E-20  0.6001E+01
  -8.373  0.1899E-26  0.6001E+01
  -8.273  0.7908E-34  0.6001E+01
  -8.173  0.4457E-42  0.6001E+01
  -8.073  0.1524E-39  0.6001E+01
  -7.973  0.1495E-31  0.6001E+01
  -7.873  0.1985E-24  0.6001E+01
  -7.773  0.3567E-18  0.6001E+01
  -7.673  0.8674E-13  0.6001E+01
  -7.573  0.2855E-08  0.6001E+01
  -7.473  0.1272E-04  0.6001E+01
  -7.373  0.7666E-02  0.6001E+01
  -7.273  0.6254E+00  0.6064E+01
  -7.173  0.6905E+01  0.6754E+01
  -7.073  0.1032E+02  0.7786E+01
  -6.973  0.2086E+01  0.7995E+01
  -6.873  0.5710E-01  0.8000E+01
- - - - - -

Best Regards,

Dan Gil
PhD Candidate
Department of Chemical and Biomolecular Engineering
Case Western Reserve University



GIUSEPPE MATTIOLI
CNR - ISTITUTO DI STRUTTURA DELLA MATERIA
Via Salaria Km 29,300 - C.P. 10
I-00015 - Monterotondo Scalo (RM)
Mob (*preferred*) +39 373 7305625
Tel + 39 06 90672342 - Fax +39 06 90672316
E-mail: <giuseppe.matti...@ism.cnr.it>

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