Dear Carlos
Calculation of XPS lines are tricky. First of all you are not simulating a real ionization process, but the reaction of the ground state valence electrons of your system to the change of pseudopotential. The related Delta_scf energy can be used to estimate the XPS chemical shift, often with an impressive accuracy in my experience with molecules (please, see J. Phys. Chem. A 2009, 113, 13593; RSC Adv. 2014, 4, 5272; Phys. Chem. Chem. Phys. 2018, 20, 6657), but in itself it has no meaning. It must be referenced to the known value of something. I generally include a small molecule in the same supercell, not interacting with the system; this is possible only if you are computing isolated systems or surfaces. Best results for molecules are obtained by using the B3LYP functional. For example, in the case of a single uracil molecule, after the "relax" calculation you have to:

1) "ionize" the reference with the core-hole pseudopotential

 &control
    calculation = 'scf'
 /
 &system
    ibrav=1, celldm(1)=40.0000,
    nat=16, ntyp=5, tot_charge=+1.0, <--- please NOTE THIS!
    ecutwfc=90.0,
    ecutfock=90.0,
    nspin=1,
    input_dft='b3lyp'
    vdw_corr='grimme-d3',
 /
 &electrons
    diagonalization='david',
    mixing_mode='plain',
    mixing_beta=0.1,
    conv_thr=1.0d-7,
    electron_maxstep=100
    scf_must_converge=.false.,
    adaptive_thr=.true.
 /
 &ions
    ion_dynamics='bfgs'
 /
ATOMIC_SPECIES
O    15.999     O.blyp-mt.UPF
N    14.007     N.blyp-mt.UPF
C    12.011     C.blyp-mt.UPF
H     1.008     H.blyp-vbc.UPF
F 14.007 N.blyp-mt-1sstar-gipaw-gm.UPF <-- F is to avoid that dft-d3 complains
ATOMIC_POSITIONS {angstrom}
O        8.935874112  10.808337666  10.583540000
O       11.039204698   6.744187277  10.583540000
N        9.960179856   8.771477479  10.583540000
N        8.750099382   6.798630762  10.583540000
C        7.576844535   7.514397937  10.583540000
C        7.561763507   8.857734355  10.583540000
C        8.815185907   9.596007009  10.583540000
C       10.009803757   7.390627750  10.583540000
H        6.641921924   9.414782335  10.583540000
H        6.675458991   6.922669854  10.583540000
H       10.852028379   9.243449902  10.583540000
H        8.749194951   5.793547675  10.583540000
F        0.000000000   0.000000000   0.000000000
H        0.929248650  -0.004393660  -0.399583280
H       -0.481589560   0.814895350  -0.356607030
H       -0.484872120  -0.817298880  -0.346525310
K_POINTS {gamma}

2) "ionize" the desired atom(s) with the core-hole pseudopotential

 &control
    calculation = 'scf'
 /
 &system
    ibrav=1, celldm(1)=40.0000,
    nat=16, ntyp=5, tot_charge=+1.0,
    ecutwfc=90.0,
    ecutfock=90.0,
    nspin=1,
    input_dft='b3lyp'
    vdw_corr='grimme-d3',
 /
 &electrons
    diagonalization='david',
    mixing_mode='plain',
    mixing_beta=0.1,
    conv_thr=1.0d-7,
    electron_maxstep=100
    scf_must_converge=.false.,
    adaptive_thr=.true.
 /
ATOMIC_SPECIES
O    15.999     O.blyp-mt.UPF
N    14.007     N.blyp-mt.UPF
C    12.011     C.blyp-mt.UPF
H     1.008     H.blyp-vbc.UPF
F    14.007     N.blyp-mt-1sstar-gipaw-gm.UPF
ATOMIC_POSITIONS {angstrom}
O        8.935874112  10.808337666  10.583540000    1   1   0
O       11.039204698   6.744187277  10.583540000    1   1   0
F        9.960179856   8.771477479  10.583540000    1   1   0
N        8.750099382   6.798630762  10.583540000    1   1   0
C        7.576844535   7.514397937  10.583540000    1   1   0
C        7.561763507   8.857734355  10.583540000    1   1   0
C        8.815185907   9.596007009  10.583540000    1   1   0
C       10.009803757   7.390627750  10.583540000    1   1   0
H        6.641921924   9.414782335  10.583540000    1   1   0
H        6.675458991   6.922669854  10.583540000    1   1   0
H       10.852028379   9.243449902  10.583540000    1   1   0
H        8.749194951   5.793547675  10.583540000    1   1   0
N        0.000000000   0.000000000   0.000000000    0   0   0
H        0.929248650  -0.004393660  -0.399583280
H       -0.481589560   0.814895350  -0.356607030
H       -0.484872120  -0.817298880  -0.346525310
K_POINTS {gamma}

The results are

1) -188.25465790 Ry (NH3 core hole)
2) -188.18332891 Ry (uracil N1 core hole)

E2-E1= 0.97 eV

NH3 N 1s = 405.60 eV (measured)

uracil N1 N 1s = 406.57 eV
uracil N3 N 1s = 407.00 eV (to obtain this you must change the position of the "F" atom in 2))

experimental unresolved N1+N3 line = 406.8 eV

HTH, but write me in private if something is not clear.
Giuseppe



Quoting "Ayestaran Latorre, Carlos" <carlos.ayestaran-latorr...@imperial.ac.uk>:

Dear QE users,

I am trying to calculate binding energy shifts of N 1s core electrons for comparison with XPS spectra for nitrogen-containing system. For that purpose, I am using two PPs from the QE library: N.pbe-n-rrkjus_psl.1.0.0.UPF and the corresponding 1s core-hole one N.star1s-pbe-rrkjus.UPF.

The standard procedure involves calculating the energy of a system with N electrons and comparing with the equivalent system with N-1 electrons, achieved by using the core hole PP, so that a simple definition of binding energy (energy required to remove the electron) might be BE=E(N-1)-E(N). The problem I am having is that I am getting negative values, I suspect due to some simple error I have overlooked.

As an example, I attach the input for a N2 molecule, relaxed without core-hole, and that now includes a core-hole in one of the atoms. The binding energy predicted by this configuration is (rounding numbers):

BE=E(N-1)-E(N)=-51.47Ry-(-40.87Ry)=-10.62 Ry=-144.53  eV

So even if the sign was flipped the absolute value is very far from the ~400eV of the N1s XPS peak. Any help is appreciated.

Kind regards,

Carlos Ayestarán Latorre

PhD student
Department of Mechanical Engineering
Imperial College London



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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