[QE-users] NEB : path length is increasing

Tamas Karpati tkarpati at gmail.com
Mon Oct 26 14:58:24 CET 2020


Dear Omer,

I'd like to underline what Antoine has said and suggest that
both your first and last structures are saddle points (of order K and L,
respectively), rather than minima. Also I agree that your reaction
is not barrierless -in accordance with chemical intuition.

To make it simple, I recommend
 - make your 2nd image the first,
 - make your 6th image the last,
 - do use more images (even for a single step reaction,
   but your MEP indicates two TS-es meaning a 2 step reaction
   which -on more elaboration- may turn out to be an N step one;
   only you need more points to see its real E-profile).
 - rerun your NEB job.

In fact you should check for imaginary second derivatives by the Phonon code
to ensure about each minima/maxima/TS being what they look in such a MEP.
Of course, it is painfully slow and many just skip this step.

Other ideas:
 - check the geometry of your 3 local minima and 2 TS-es
   to see if they correspond to chemically rational structures.
 - if they look so, decide whether the second minimum is really
   your product, and if it is so then this should be your last image
   (and not the 6th as I said above) for rerunning your NEB.
 - of course, you can model a multistep reaction by a single NEB job,
   choose the approach that best serves your postprocessing task.

Hope this helps,
  t

On Mon, Oct 26, 2020 at 1:40 PM Antoine Jay <ajay at laas.fr> wrote:
>
> There is an energy barrier:
> the one between your intermediate minima and your  final state.
> There is no barrier between initial and intermediate minima.
> You should wonder why you have an intermediate minima that is lower in energy (<0.4eV) than the final inserted molecule, this is why I was asking if it was enough relaxed.
> Maybe the first exothermic reaction gives enough energy for the second...
> But for sure, when you have such a multi-barriers reaction, a 7 images neb is not enough.
> If you need accurate results, it is better to have 1 neb per barrier, as you have 1 CI per path.
>
> Regards,
>
> Antoine Jay
> LAAS-CNRS
> Toulouse, France
>
> Le Lundi, Octobre 26, 2020 09:10 CET, Omer Mutasim <omermutasim at ymail.com> a écrit:
>
>
>
>
>
> Dear Dr. Jay
> I have relaxed the initial and final structures before neb.
> Regarding simulation box, i'm using sqrt(3)*sqrt(3) supercell, the other five reaction steps converged well.
> However, i have seen in the literature that similar catalyst resulted in such barrier-less dissociation.
> So my question goes like : with this oscillated MEP , can i conclude it is barrier-less reaction ? or it is even necessary for barrier-less step to have no oscillation ?
> does changing the adsorption site of the reactant (SO2) to less stable site might solve the issue ?
>
> Regards
> On Monday, October 26, 2020, 11:25:36 AM GMT+4, Antoine Jay <ajay at laas.fr> wrote:
>
>
> Dear Omer,
> I think your initial and final minima have not been well relaxed.
> When you fix the initial and final structures in a neb you must have relaxed them before, otherwise, you will have negative energy barriers.
> Moreover, you may have rotation of molecules that return local minima if your simulation box is too small.
>
> Regards,
>
> Antoine Jay
> LAAS-CNRS
> Toulouse, France
>
>
> Le Lundi, Octobre 26, 2020 06:39 CET, Omer Mutasim <omermutasim at ymail.com> a écrit:
>
>
>
>
>
>
> Thanks a lot Dr. Tamas & Dr. Jay. , it is very efficient procedure, it worked for me now for all reaction steps. cheers
>
> However for one elementary step , particularly SO2 dissociation ( SO2 = SO+O ) i got the following activation barrier, (it hasn't finished yet, but expected to  remain around these values since it doesn't change much):
>
>  ------------------------------ iteration 297 ------------------------------
>
>      activation energy (->) =   0.000000 eV
>      activation energy (<-) =   0.308512 eV
>
>      image        energy (eV)        error (eV/A)        frozen
>
>          1     -92402.4972907            0.036606            T
>          2     -92402.8008646            0.020347            F
>          3     -92402.6789202            0.048720            F
>          4     -92403.2726990            0.102631            F
>          5     -92403.0642888            0.050277            F
>          6     -92403.2377599            0.067121            F
>          7     -92402.8058032            0.029355            T
>      activation energy (->) =   0.000000 eV
>      activation energy (<-) =   0.308512 eV
>
>
> Attached is the MEP curve. As you see in MEP graph , there is oscillation in energies.
> is it normal to get this oscillated MEP curve for such barrier-less reaction step ? if not, how to get rid of this oscillations ?
> does using "CI" can increase this barrier a bit ?
>
> Thanks in advance
>
> Regards
> On Wednesday, October 21, 2020, 11:04:14 PM GMT+4, Omer Mutasim <omermutasim at ymail.com> wrote:
>
>
> Very helpful ideas.
> But after pre-converging with inexpensive parameters, i will get first & last image that are different than my actual images with higher parameters ( k-pointss, cutoff,..)
> So then how i can use this pre-converged path for my actual settings?
>
> Sent from Yahoo Mail for iPhone
>
>
> On Wednesday, October 21, 2020, 3:06 PM, Tamas Karpati <tkarpati at gmail.com> wrote:
>
> Dear Omar,
>
> Hope it helps, just some ideas:
> - I could tell more if you would attach the whole input file (ie. the
> structures).
> - Without knowing the structures only I can give some hints:
>   -- Try using smaller PW basis and lower ecutwfc, ecutrho to speed up
> your simulation.
>   -- When you obtain something more reliable result, you can change
> back to the higher basis.
>   -- Try leaving opt_scheme at its default value.
>   -- For such a reaction (dissociation of such a polarized molecule) you should
>     expect a barrier, therefore CI_scheme should be anything except for no-CI.
>   -- The best is if you can specify the CI manually in the
> CLIMBING_IMAGES section
>     (choose the CI_scheme accordingly).
> Bests,
>   t
>
> On Tue, Oct 20, 2020 at 6:53 PM Omer Mutasim <omermutasim at ymail.com> wrote:
> >
> > Dear All
> > I'm doning NEB for dissociation reaction of SO2 to SO +O. But it is not converging for more than a week, and the path length is increasing.
> > Please tell me what is wrong in my input file:
> >
> > below is the input & output files:
> >
> > Input file:
> >
> > BEGIN
> > BEGIN_PATH_INPUT
> > &PATH
> >  restart_mode      = 'restart'
> >  string_method    = 'neb',
> >  nstep_path        = 800,
> >  ds                = 1.D0,
> >  opt_scheme        = "broyden",
> >  num_of_images    = 7,
> >  CI_scheme        = 'no-CI',
> >  path_thr          = 0.05D0,
> >
> > /
> > END_PATH_INPUT
> > BEGIN_ENGINE_INPUT
> > &CONTROL
> >    calculation  = "relax"
> > prefix = 'SO2_neb'
> >    outdir = './outdir'
> >    pseudo_dir = '/home/yQE-test/pseudo/'
> > restart_mode = 'from_scratch'
> >    forc_conv_thr =  1.0e-03
> > etot_conv_thr = 1e-04
> >    nstep        = 200
> >    !tefield = .TRUE
> > !dipfield = .TRUE
> > /
> >
> > &SYSTEM
> > ibrav = 0
> >    ecutrho                  =  270
> >    ecutwfc                  =  45
> >    nat                      = 111
> >    ntyp                      = 4
> > occupations='smearing',smearing='gaussian',degauss=0.005
> > vdw_corr = 'DFT-D2'
> > !edir = 3 , emaxpos = 0.6808, eopreg = 0.08 , eamp = 0.001,
> >    nspin = 2
> > starting_magnetization(1)=  0.01
> >
> > /
> > &ELECTRONS
> >    conv_thr        = 1e-06
> >    electron_maxstep = 200
> > mixing_mode ='local-TF'
> >    mixing_beta      =  0.3
> >
> > /
> >
> > &IONS
> > /
> >
> > K_POINTS {automatic}
> > 3 3 1 0 0 1
> >
> > ATOMIC_SPECIES
> > Ni 58.69340 Ni.pbe-n-rrkjus_psl.0.1.UPF
> > P 30.97376 P.pbe-n-rrkjus_psl.1.0.0.UPF
> > S 32.065      S.pbe-n-rrkjus_psl.1.0.0.UPF
> > O 15.9999    O.pbe-n-rrkjus_psl.1.0.0.UPF
> > CELL_PARAMETERS {angstrom}
> >        11.765383541833        0.0000000000        0.0000000000
> >        -5.88269177091652        10.1891210324947    0.0000000000
> >        0.0000000000        0.0000000000        30.9938690567585
> > BEGIN_POSITIONS
> > FIRST_IMAGE
> > ATOMIC_POSITIONS (angstrom)
> > S      -1.181561037  6.155418563  12.124345096
> > O      -1.100425541  4.672437254  11.356300976
> > O        0.190308001  6.839217965  11.448732238
> > Ni      -2.738525121  4.763450297  0.239145520
> > Ni      3.139579474  1.358483744  0.232252034
> > Ni      3.135766403  8.150575392  0.235327906
> > Ni      -4.673593720  8.104467836  1.780118367
> > .
> > .
> > .
> > .
> >
> > output file:
> >
> > Program NEB v.6.4.1 starts on 16Oct2020 at 11:35:32
> >
> >      This program is part of the open-source Quantum ESPRESSO suite
> >      for quantum simulation of materials; please cite
> >          "P. Giannozzi et al., J. Phys.:Condens. Matter 21 395502 (2009);
> >          "P. Giannozzi et al., J. Phys.:Condens. Matter 29 465901 (2017);
> >          URL http://www.quantum-espresso.org",
> >      in publications or presentations arising from this work. More details at
> >      http://www.quantum-espresso.org/quote
> >
> >      Parallel version (MPI), running on    80 processors
> >
> >      MPI processes distributed on    5 nodes
> >      R & G space division:  proc/nbgrp/npool/nimage =      80
> >
> >      parsing_file_name: input.in
> >      Reading input from pw_1.in
> >      Message from routine read_upf::
> >
> >
> >      initial path length          = 11.3145 bohr
> >      initial inter-image distance  =  1.8857 bohr
> >
> >      string_method                =    neb
> >      restart_mode                  =    from_scratch
> >      opt_scheme                    =    broyden
> >      num_of_images                =    7
> >      nstep_path                    =    800
> >      CI_scheme                    =    no-CI
> >      first_last_opt                =    F
> >      use_freezing                  =    F
> >      ds                            =    1.0000 a.u.
> >      k_max                        =    0.1000 a.u.
> >      k_min                        =    0.1000 a.u.
> >      suggested k_max              =    0.6169 a.u.
> >      suggested k_min              =    0.6169 a.u.
> >      path_thr                      =    0.0500 eV / A
> >
> >      ------------------------------ iteration  1 ------------------------------
> >
> >      tcpu =      6.2    self-consistency for image  1
> >      tcpu =  3675.5    self-consistency for image  2
> >      tcpu =  7662.5    self-consistency for image  3
> >      tcpu =  11422.7    self-consistency for image  4
> >      tcpu =  15346.3    self-consistency for image  5
> >      tcpu =  19108.7    self-consistency for image  6
> >      tcpu =  22571.1    self-consistency for image  7
> >
> >      activation energy (->) =  70.216194 eV
> >      activation energy (<-) =  71.022062 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92468.8536637          23.505267            F
> >          3    -92442.9691259          150.213122            F
> >          4    -92406.7311409          330.353055            F
> >          5    -92431.0052901          207.333777            F
> >          6    -92469.0661237          51.663167            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 11.314 bohr
> >      inter-image distance =  1.886 bohr
> >
> >      ------------------------------ iteration  2 ------------------------------
> >
> >      tcpu =  26119.7    self-consistency for image  2
> >      tcpu =  28731.5    self-consistency for image  3
> >      tcpu =  31027.4    self-consistency for image  4
> >      tcpu =  34094.2    self-consistency for image  5
> >      tcpu =  36988.0    self-consistency for image  6
> >
> >      activation energy (->) =  22.531451 eV
> >      activation energy (<-) =  23.337319 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92469.5101428          22.300995            F
> >          3    -92454.4158842          70.627594            F
> >          4    -92461.1206812          34.307062            F
> >          5    -92464.4669859          46.783708            F
> >          6    -92471.4896125          37.765708            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 11.384 bohr
> >      inter-image distance =  1.897 bohr
> >
> >      ------------------------------ iteration  3 ------------------------------
> >
> >      tcpu =  39172.0    self-consistency for image  2
> >      tcpu =  41888.0    self-consistency for image  3
> >      tcpu =  44777.8    self-consistency for image  4
> >      tcpu =  47642.0    self-consistency for image  5
> >      tcpu =  50615.2    self-consistency for image  6
> >
> >      activation energy (->) =  13.435341 eV
> >      activation energy (<-) =  14.241209 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92471.6434742          16.119604            F
> >          3    -92463.5119937          28.367753            F
> >          4    -92468.1466546          16.740841            F
> >          5    -92472.7705146          11.019872            F
> >          6    -92475.3040517          10.662908            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 11.502 bohr
> >      inter-image distance =  1.917 bohr
> >
> >      ------------------------------ iteration  4 ------------------------------
> >
> >      tcpu =  53323.8    self-consistency for image  2
> >      tcpu =  56077.9    self-consistency for image  3
> >      tcpu =  59014.9    self-consistency for image  4
> >      tcpu =  61990.6    self-consistency for image  5
> >      tcpu =  64608.8    self-consistency for image  6
> >
> >      activation energy (->) =  6.530687 eV
> >      activation energy (<-) =  7.336554 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92474.0378392            7.910468            F
> >          3    -92470.4166483          13.061889            F
> >          4    -92471.2528453            9.923078            F
> >          5    -92474.2165523            4.209611            F
> >          6    -92476.2787664            3.450159            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 11.724 bohr
> >      inter-image distance =  1.954 bohr
> >
> >      ------------------------------ iteration  5 ------------------------------
> >
> >      tcpu =  67273.9    self-consistency for image  2
> >      tcpu =  70152.2    self-consistency for image  3
> >      tcpu =  73153.1    self-consistency for image  4
> >      tcpu =  76203.5    self-consistency for image  5
> >      tcpu =  78824.8    self-consistency for image  6
> >
> >      activation energy (->) =  3.710859 eV
> >      activation energy (<-) =  4.516727 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92475.5387437            3.615458            F
> >          3    -92473.5622985            4.695416            F
> >          4    -92473.2364760            5.734324            F
> >          5    -92474.4833513            2.877608            F
> >          6    -92476.4425910            2.876700            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 12.038 bohr
> >      inter-image distance =  2.006 bohr
> >
> >      ------------------------------ iteration  6 ------------------------------
> >
> >      tcpu =  81355.0    self-consistency for image  2
> >      tcpu =  84402.5    self-consistency for image  3
> >      tcpu =  87564.5    self-consistency for image  4
> >      tcpu =  90568.2    self-consistency for image  5
> >      tcpu =  93110.5    self-consistency for image  6
> >
> >      activation energy (->) =  2.560838 eV
> >      activation energy (<-) =  3.366706 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.0900010            1.040106            F
> >          3    -92474.7832671            2.988289            F
> >          4    -92474.3864972            2.085630            F
> >          5    -92474.8266397            1.998808            F
> >          6    -92476.6377600            0.667994            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 12.364 bohr
> >      inter-image distance =  2.061 bohr
> >
> >      ------------------------------ iteration  7 ------------------------------
> >
> >      tcpu =  95248.7    self-consistency for image  2
> >      tcpu =  98189.3    self-consistency for image  3
> >      tcpu = 101337.9    self-consistency for image  4
> >      tcpu = 104423.7    self-consistency for image  5
> >      tcpu = 107076.7    self-consistency for image  6
> >
> >      activation energy (->) =  2.125802 eV
> >      activation energy (<-) =  2.931670 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.0736630            1.319140            F
> >          3    -92475.4151167            1.955048            F
> >          4    -92474.8215329            1.921925            F
> >          5    -92475.0627346            2.135695            F
> >          6    -92476.7117640            0.696381            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 12.868 bohr
> >      inter-image distance =  2.145 bohr
> >
> >      ------------------------------ iteration  8 ------------------------------
> >
> >      tcpu = 108885.3    self-consistency for image  2
> >      tcpu = 111194.4    self-consistency for image  3
> >      tcpu = 113961.2    self-consistency for image  4
> >      tcpu = 116506.3    self-consistency for image  5
> >      tcpu = 118361.2    self-consistency for image  6
> >
> >      activation energy (->) =  2.073805 eV
> >      activation energy (<-) =  2.879673 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.1622863            0.861666            F
> >          3    -92475.4162307            2.192183            F
> >          4    -92474.8735300            1.631538            F
> >          5    -92475.0684015            1.824977            F
> >          6    -92476.7113576            0.606060            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 12.633 bohr
> >      inter-image distance =  2.105 bohr
> >
> >
> > .
> > .
> > .
> > .
> > .
> > .
> >  reading file 'SO2_neb.path'
> >
> >
> >      string_method                =    neb
> >      restart_mode                  =    restart
> >      opt_scheme                    =    broyden
> >      num_of_images                =    7
> >      nstep_path                    =    800
> >      CI_scheme                    =    no-CI
> >      first_last_opt                =    F
> >      use_freezing                  =    F
> >      ds                            =    1.0000 a.u.
> >      k_max                        =    0.1000 a.u.
> >      k_min                        =    0.1000 a.u.
> >      suggested k_max              =    0.6169 a.u.
> >      suggested k_min              =    0.6169 a.u.
> >      path_thr                      =    0.0500 eV / A
> >
> >      ------------------------------ iteration  26 ------------------------------
> >
> >      tcpu =      6.2    self-consistency for image  2
> >      tcpu =  3713.3    self-consistency for image  3
> >      tcpu =  7137.5    self-consistency for image  4
> >      tcpu =  10796.2    self-consistency for image  5
> >      tcpu =  14447.3    self-consistency for image  6
> >
> >      activation energy (->) =  0.640765 eV
> >      activation energy (<-) =  1.446632 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.3065704            0.250516            F
> >          3    -92477.0673165            0.278078            F
> >          4    -92476.7787332            0.431860            F
> >          5    -92476.4800774            0.453182            F
> >          6    -92476.5576488            0.296200            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 17.545 bohr
> >      inter-image distance =  2.924 bohr
> >
> >      ------------------------------ iteration  27 ------------------------------
> >
> >      tcpu =  18237.5    self-consistency for image  2
> >      tcpu =  20736.0    self-consistency for image  3
> >      tcpu =  23008.1    self-consistency for image  4
> >      tcpu =  25721.8    self-consistency for image  5
> >      tcpu =  28310.3    self-consistency for image  6
> >
> >      activation energy (->) =  0.643277 eV
> >      activation energy (<-) =  1.449145 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.3040583            0.235899            F
> >          3    -92477.0080434            0.474599            F
> >          4    -92476.8143156            0.678632            F
> >          5    -92476.4592005            0.597470            F
> >          6    -92476.4827638            0.224064            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 18.367 bohr
> >      inter-image distance =  3.061 bohr
> >
> >      ------------------------------ iteration  28 ------------------------------
> >
> >      tcpu =  30382.0    self-consistency for image  2
> >      tcpu =  32498.8    self-consistency for image  3
> >      tcpu =  34597.5    self-consistency for image  4
> >      tcpu =  37250.7    self-consistency for image  5
> >      tcpu =  39649.7    self-consistency for image  6
> >
> >      activation energy (->) =  0.651733 eV
> >      activation energy (<-) =  1.457601 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.2956021            0.236096            F
> >          3    -92476.9388664            0.680956            F
> >          4    -92476.8025379            0.874373            F
> >          5    -92476.3933083            0.734403            F
> >          6    -92476.4272820            0.239132            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 19.115 bohr
> >      inter-image distance =  3.186 bohr
> >
> >      ------------------------------ iteration  29 ------------------------------
> >
> >      tcpu =  41622.7    self-consistency for image  2
> >      tcpu =  43787.2    self-consistency for image  3
> >      tcpu =  45892.1    self-consistency for image  4
> >      tcpu =  48482.6    self-consistency for image  5
> >      tcpu =  50617.1    self-consistency for image  6
> >
> >      activation energy (->) =  0.661553 eV
> >      activation energy (<-) =  1.467420 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.2857825            0.249692            F
> >          3    -92476.8823826            0.778237            F
> >          4    -92476.7843580            1.002202            F
> >          5    -92476.3323697            0.748960            F
> >          6    -92476.3885082            0.238984            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 19.742 bohr
> >      inter-image distance =  3.290 bohr
> >
> >      ------------------------------ iteration  30 ------------------------------
> >
> >      tcpu =  52474.3    self-consistency for image  2
> >      tcpu =  54679.9    self-consistency for image  3
> >      tcpu =  57012.5    self-consistency for image  4
> >      tcpu =  59877.3    self-consistency for image  5
> >      tcpu =  62490.2    self-consistency for image  6
> >
> >      activation energy (->) =  0.704760 eV
> >      activation energy (<-) =  1.510628 eV
> >
> >      image        energy (eV)        error (eV/A)        frozen
> >
> >          1    -92476.9473351            0.023792            T
> >          2    -92476.2668397            0.342411            F
> >          3    -92476.7810889            0.907920            F
> >          4    -92476.7414553            1.153276            F
> >          5    -92476.2425749            0.898295            F
> >          6    -92476.3370447            0.341313            F
> >          7    -92477.7532028            0.024858            T
> >
> >      path length          = 20.745 bohr
> >      inter-image distance =  3.457 bohr
> >
> >      ------------------------------ iteration  31 ------------------------------
> >
> >      tcpu =  64431.3    self-consistency for image  2
> >      tcpu =  66430.0    self-consistency for image  3
> >      tcpu =  68491.4    self-consistency for image  4
> >      tcpu =  70987.8    self-consistency for image  5
> >
> >
> >
> >
> > _______________________________________________
> > Quantum ESPRESSO is supported by MaX (www.max-centre.eu)
> > users mailing list users at lists.quantum-espresso.org
> > https://lists.quantum-espresso.org/mailman/listinfo/users
> _______________________________________________
> Quantum ESPRESSO is supported by MaX (www.max-centre.eu)
> users mailing list users at lists.quantum-espresso.org
> https://lists.quantum-espresso.org/mailman/listinfo/users
>
>
>
>
>
>
>
> _______________________________________________
> Quantum ESPRESSO is supported by MaX (www.max-centre.eu)
> users mailing list users at lists.quantum-espresso.org
> https://lists.quantum-espresso.org/mailman/listinfo/users
>
>
>
>   _______________________________________________
> Quantum ESPRESSO is supported by MaX (www.max-centre.eu)
> users mailing list users at lists.quantum-espresso.org
> https://lists.quantum-espresso.org/mailman/listinfo/users


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