[Pw_forum] electron-phonon coupling

2015-08-10 Thread pourya
Dear all

I would like to know whether the out put file which is produced after 
electron-phonon coupling calculation
with following format elph.1.1.xml is electron-phonon matrix element or not.

Thanks in advance,
P.Ayria
Tohoku University Japan

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Re: [Pw_forum] Negative density of states

2015-08-10 Thread stefano de gironcoli
when using the smearing technique to compute the density of state you 
are broadening each energy level with an approximate delta function.
This can be a gaussian, the derivative of the fermi-dirac function or a 
gaussian multiplied by a polynomial.
In the first two cases the approximate delta function is positive 
definite, but for both methfessel-paxton and marzari-vanderbilt scheme 
the approximate delta function is not positive definite. (MV smearing is 
built to produce non-negative occupation numbers but it still can have 
negative contribution for its derivative).
This is the price to pay to have schemes for which the dependence of the 
total energy on the smearing width is quartic or cubic rather than 
quadratic as it would be otherwise.

In regions where the dos or ldos is non zero and if you're sampling the 
k-space sufficiently accurately this should not lead to negative values, 
but close to the band-edges it may
happen.

If you want to have positive definite dos/ldos use gaussian or FD smearings.

stefano


On 11/08/2015 00:47, Henry J Seeley wrote:
> Dear users,
>
> I have been using PWscf/Quantum Espresso for a couple months now, so
> although I'm familiar with the input/output formats and the parameters
> for calculations, I'm pretty oblivious to the inner workings of the
> program.
> I'm attempting to calculate the (local) density of states for lead
> sulfide slabs but I occasionally get negative density of states, which
> doesn't make any sense. I've used both dos.x and pp.x (ILDOS) and have
> gotten this result multiple times, sometimes only one and not the other
> for identical systems.
> Below is an input file, as well as a snippet of output data from pp.x
> (ILDOS).
>
>
> pp.x (ILDOS) output:
>
>   PositionILDOS
> ...
>   2.93857977030.000145
>   2.96710967100.000685
>   2.99563957170.96
>   3.02416947240.000231
>   3.0526993731   -0.000262*negative?
>   3.08122927380.000213
>   3.1097591744   -0.000191*negative?
>   3.13828907510.000124
>   3.16681897580.000510
>   3.19534887650.000245
>   3.22387877720.000443
> ...
>
>
>
> scf input:
>
> 
>  title = 'PbS.111thinPbline' ,
>calculation = 'scf' ,
> outdir =
> '/ibrix/users/home6/hseeley/HS2/8-4-2015/outdir/' ,
> pseudo_dir =
> '/ibrix/users/home6/hseeley/espresso-5.1.2/pseudo/' ,
> prefix = 'PbS.111thinPbline' ,
>/
>
>  ibrav = 0,
>  celldm(1) = 11.19416,
>nat = 12,
>   ntyp = 2,
>ecutwfc = 40 ,
>occupations = 'smearing' ,
>degauss = 0.02 ,
>   smearing = 'marzari-vanderbilt' ,
>   noncolin = .true. ,
>   lspinorb = .true. ,
>/
>
>startingwfc = 'atomic+random' ,
>/
>
>/
>
> CELL_PARAMETERS alat
> -1.236988124   0.688397354   0.0
> -0.608947267  -0.365438176   0.0
> -1.198800945  -2.150150059   3.464101615
> ATOMIC_SPECIES
>  Pb  207.2  Pb.rel-pbe-dn-kjpaw_psl.0.2.2.UPF
>   S   32.06500  S.rel-pbe-n-kjpaw_psl.0.1.UPF
> ATOMIC_POSITIONS alat
> S1.195986189   2.158436994   6.057718495
> S1.196613046   2.847559652   6.035203796
> S1.607948658   2.157228920   6.639507369
> S0.380505268   2.135992982   6.639522336
> S0.802031048   1.425119068   7.221352165
> S0.782293690   2.155298247   7.243857427
> Pb   1.004595715   2.477269862   5.817407381
> Pb   1.411636575   1.793701926   6.351977935
> Pb   1.404724785   2.500453276   6.338245575
> Pb   1.811166168   1.814015383   6.940832089
> Pb   0.586360087   1.789892412   6.927085220
> Pb   0.993402384   1.106318783   7.461627358
>
>
> K_POINTS automatic
> 10 10 5   0 0 0
>
>
>
> Any help would be much appreciated, thank you,
> Hank Seeley
> PhD Chemistry student
> University of Oregon
> hsee...@uoregon.edu
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[Pw_forum] Negative density of states

2015-08-10 Thread Henry J Seeley
Dear users,

I have been using PWscf/Quantum Espresso for a couple months now, so 
although I'm familiar with the input/output formats and the parameters 
for calculations, I'm pretty oblivious to the inner workings of the 
program.
I'm attempting to calculate the (local) density of states for lead 
sulfide slabs but I occasionally get negative density of states, which 
doesn't make any sense. I've used both dos.x and pp.x (ILDOS) and have 
gotten this result multiple times, sometimes only one and not the other 
for identical systems.
Below is an input file, as well as a snippet of output data from pp.x 
(ILDOS).


pp.x (ILDOS) output:

 PositionILDOS
...
 2.93857977030.000145
 2.96710967100.000685
 2.99563957170.96
 3.02416947240.000231
 3.0526993731   -0.000262*negative?
 3.08122927380.000213
 3.1097591744   -0.000191*negative?
 3.13828907510.000124
 3.16681897580.000510
 3.19534887650.000245
 3.22387877720.000443
...



scf input:


title = 'PbS.111thinPbline' ,
  calculation = 'scf' ,
   outdir = 
'/ibrix/users/home6/hseeley/HS2/8-4-2015/outdir/' ,
   pseudo_dir = 
'/ibrix/users/home6/hseeley/espresso-5.1.2/pseudo/' ,
   prefix = 'PbS.111thinPbline' ,
  /
  
ibrav = 0,
celldm(1) = 11.19416,
  nat = 12,
 ntyp = 2,
  ecutwfc = 40 ,
  occupations = 'smearing' ,
  degauss = 0.02 ,
 smearing = 'marzari-vanderbilt' ,
 noncolin = .true. ,
 lspinorb = .true. ,
  /
  
  startingwfc = 'atomic+random' ,
  /
  
  /

CELL_PARAMETERS alat
   -1.236988124   0.688397354   0.0
   -0.608947267  -0.365438176   0.0
   -1.198800945  -2.150150059   3.464101615
ATOMIC_SPECIES
Pb  207.2  Pb.rel-pbe-dn-kjpaw_psl.0.2.2.UPF
 S   32.06500  S.rel-pbe-n-kjpaw_psl.0.1.UPF
ATOMIC_POSITIONS alat
S1.195986189   2.158436994   6.057718495
S1.196613046   2.847559652   6.035203796
S1.607948658   2.157228920   6.639507369
S0.380505268   2.135992982   6.639522336
S0.802031048   1.425119068   7.221352165
S0.782293690   2.155298247   7.243857427
Pb   1.004595715   2.477269862   5.817407381
Pb   1.411636575   1.793701926   6.351977935
Pb   1.404724785   2.500453276   6.338245575
Pb   1.811166168   1.814015383   6.940832089
Pb   0.586360087   1.789892412   6.927085220
Pb   0.993402384   1.106318783   7.461627358


K_POINTS automatic
   10 10 5   0 0 0



Any help would be much appreciated, thank you,
Hank Seeley
PhD Chemistry student
University of Oregon
hsee...@uoregon.edu
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Re: [Pw_forum] Input_keyword_Explanation[Basic]

2015-08-10 Thread Bahadır salmankurt
Dear Abir Shadman

Please read input file description =>
http://www.quantum-espresso.org/wp-content/uploads/Doc/INPUT_PW.html

​Best Regards​


2015-08-10 19:55 GMT+03:00 Abir Shadman :

> Dear all,
>
> I am a new user. I have gathered enough information from this forum to
> write some codes. However i don't understand some keywords quite well.
> Since i am from electrical background, i need to calculate band structure
> properly because my goal is to find effective mass accurately which i will
> use for transport calculation. Here is a bfgs relaxation code for bilayer
> WS2 for my query purpose:
>
> 
>   calculation = 'relax',
>  restart_mode = 'from_scratch',
>outdir = 'G:\all_kk_QE\Quantum_Espresso\Quantum ESPRESSO 64-bit
> 5.1.2-mpich2\outdir',
>prefix = 'WS2Bilayer',
> /
> 
>
> ibrav = 0,
>
> a = 1.8,
>
>   nat = 6,
>
>  ntyp = 2,
>
>   occupations = 'smearing',
>
>  smearing = 'methfessel-paxton',
>
>   degauss = 0.001,
>   nspin=2,
>
>   ecutwfc = 20,
>
>   ecutrho = 160,
>
>  nbnd = 30,
>starting_magnetization=0.6,
>
>
> /
>
> 
>
>  conv_thr = 1.0d-5,
>
>   mixing_mode = 'plain',
>
>   mixing_beta = 0.7,
>
>   diagonalization = 'david',
>   diago_full_acc = .true.
>
> /
>
> 
> ion_dynamics  = 'bfgs',
> pot_extrapolation = 'second_order',
> wfc_extrapolation = 'second_order',
> upscale   = 100,
> /
>
> CELL_PARAMETERS
> 1.5 0.8660254038 0.0
> 1.5 -0.8660254038 0.0
> 0. 0.0 15.0
>
> ATOMIC_SPECIES
> W 183.84 W.pbe-hgh.UPF
> S 32.066 S.pbe-hgh.UPF
>
> ATOMIC_POSITIONS (angstrom)
> S   0.0  0.0   5.15
> S   0.0  0.0   2
> W   1.818653348  0.0   3.575
> S   0.0  0.0   12.95
> S   0.0  0.0   9.8
> W   1.818653348  0.0   11.375
>
> K_POINTS {automatic}
> 24 24 1   0 0 0
>
> It's a well known system. It is put here because i want to know the
> meaning of such inputs : occupations, smearing, degauss, mixing_mode,
> mixing_beta, diagonalization etc. in nutshell but yet
> comprehensive enough so that i can properly use the values of these inputs
> for a unknown system.
>
> ​Best Regards​
>
> Abir Shadman
> Dept. of EEE,BUET.
>
>
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[Pw_forum] Input_keyword_Explanation[Basic]

2015-08-10 Thread Abir Shadman
Dear all,

I am a new user. I have gathered enough information from this forum to
write some codes. However i don't understand some keywords quite well.
Since i am from electrical background, i need to calculate band structure
properly because my goal is to find effective mass accurately which i will
use for transport calculation. Here is a bfgs relaxation code for bilayer
WS2 for my query purpose:


  calculation = 'relax',
 restart_mode = 'from_scratch',
   outdir = 'G:\all_kk_QE\Quantum_Espresso\Quantum ESPRESSO 64-bit
5.1.2-mpich2\outdir',
   prefix = 'WS2Bilayer',
/


ibrav = 0,

a = 1.8,

  nat = 6,

 ntyp = 2,

  occupations = 'smearing',

 smearing = 'methfessel-paxton',

  degauss = 0.001,
  nspin=2,

  ecutwfc = 20,

  ecutrho = 160,

 nbnd = 30,
   starting_magnetization=0.6,


/



 conv_thr = 1.0d-5,

  mixing_mode = 'plain',

  mixing_beta = 0.7,

  diagonalization = 'david',
  diago_full_acc = .true.

/


ion_dynamics  = 'bfgs',
pot_extrapolation = 'second_order',
wfc_extrapolation = 'second_order',
upscale   = 100,
/

CELL_PARAMETERS
1.5 0.8660254038 0.0
1.5 -0.8660254038 0.0
0. 0.0 15.0

ATOMIC_SPECIES
W 183.84 W.pbe-hgh.UPF
S 32.066 S.pbe-hgh.UPF

ATOMIC_POSITIONS (angstrom)
S   0.0  0.0   5.15
S   0.0  0.0   2
W   1.818653348  0.0   3.575
S   0.0  0.0   12.95
S   0.0  0.0   9.8
W   1.818653348  0.0   11.375

K_POINTS {automatic}
24 24 1   0 0 0

It's a well known system. It is put here because i want to know the meaning
of such inputs : occupations, smearing, degauss, mixing_mode,
mixing_beta, diagonalization
etc. in nutshell but yet comprehensive enough so that i can properly use
the values of these inputs for a unknown system.

​Best Regards​

Abir Shadman
Dept. of EEE,BUET.
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[Pw_forum] Fwd: Msd

2015-08-10 Thread ashkan shekaari
Dear family
Does anybody know how QE computes mean square displacements?
By means of the below formula?

Kind regards
Ashkan Shekaari
-- Forwarded message --
From: "ashkan shekaari" 
Date: Aug 10, 2015 8:08 PM
Subject: Msd
To: "Andrea Dal Corso" 
Cc:

Dear Andrea
Do you know how mean square displacements are calculated in QE? Does QE use
the below formula?
Thanks in advance.

Kind regards
Ashkan Shekaari
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Re: [Pw_forum] Fwd: Final iteration often crashes after structure optimization

2015-08-10 Thread Cohen, Ronald
Lowering ecutrho makes things worse not better. But I understand the
problem better. It is a problem with load balancing. This problem only
arises when R & G space division>1 . With R & G space division=1 it never
crashes in this way. However, the performance with R & G space division=4
is astounding compared with R & G space division=1. I have 16 k-points, yet
with npool=16 it takes 74 seconds for the first k-point, and with nppol=4
on 16 processors (R & G space division=4) it takes 16 seconds--a speedup of
4.6 with the same number of processors! Yet 20% of the time or so R & G
space division>1 fails, presumably because of a load balancing problem. The
solution is to rebalance the R & G space divisions. Is there a developer
out there familiar with this?

Sincerely,

Ron


---
Ronald Cohen
Geophysical Laboratory
Carnegie Institution
5251 Broad Branch Rd., N.W.
Washington, D.C. 20015
rco...@carnegiescience.edu
office: 202-478-8937
skype: ronaldcohen
https://twitter.com/recohen3
https://www.linkedin.com/profile/view?id=163327727

On Mon, Aug 10, 2015 at 6:15 AM, Youssef  wrote:

> Dear Ronald,
>
> Strange behavior, it happens here (ggen.f90)  :
>
>  IF (ngm > ngm_g) CALL errore ('ggen', 'too many g-vectors', ngm)
>
> I am not QE developer, but firstly I suggest to lower ecutrho to 280 Ry
> and see!!!
>
> Youssef Aharbil,
> Laboratory of Physics and Chemistry of Materials
> Faculty of sciences Ben msik, Casablanca
> Morocco
>
>
>
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[Pw_forum] Langevin dynamics

2015-08-10 Thread Venkataramana Imandi
Dear Sir/ Madam,

I am using quantum espresso (version:5.1.2) for doing Langevin dynamics on
Ethene molecules were kept top and bottom of silver oxide surface (total
atoms: 37) running on Red Hat machine with serial and parallel process. In
the output file, the coordinates of some of the atoms getting starred(***).
In order to understand more about results, I tried with simple systems
containing 2 Si atoms, the results shows that Langevin dynamics is working
fine but the distance between two Si atoms goes on increasing (at the end
of 100 md steps, the distance is 560 Angstroms). Moreover, herein Langevin
dynamics is over-damped and the parameter of gamma (friction coefficient)
is not mentioned anywhere in the input file description of pw.x related
manual. Hence, I request you kindly suggest me how to perform Langevin
calculations on my original system. Input file and starred(**) coordinates
of my original system (output file) were attached.

 
calculation='md',
prefix='ag_eth',
dt=20.D0,
nstep=50,
  etot_conv_thr=1.0D-6,
   forc_conv_thr=1.0D-5,
   pseudo_dir = '/home/venkat/ORR1/PPS1'
 /

   ibrav=0,
nat=37,
ntyp=4,
  ecutwfc = 30.0,
nosym=.true.,
occupations='smearing',
smearing='m-p',
 degauss=0.03,
tot_charge=1.0
/

   electron_maxstep=2000,
  diagonalization='david',
   mixing_beta = 0.3,
conv_thr =  1.0D-6,
   scf_must_converge=.false.
/

pot_extrapolation = 'second_order',
wfc_extrapolation = 'second_order',
ion_dynamics='langevin',
tempw=300.D0,
nraise=1
 /
ATOMIC_SPECIES
C   12.0107 C.pbe-rrkjus.UPF
H   1.00794 H.pbe-rrkjus.UPF
O   15.9994 O.pbe-rrkjus.UPF
Ag 107.8682 Ag.pbe-d-rrkjus.UPF

CELL_PARAMETERS {angstrom}
7.898000 0.00 0.00
0.00 7.898000 0.00
0.00 0.00 9.747900

ATOMIC_POSITIONS {angstrom}

 C 3.674759 2.942993-3.493103
 H 4.121990 3.816735-4.007690
 H 4.121990 2.069251-4.007690
 C 2.211227 2.942993-3.493103
 H 1.763996 3.816735-4.007690
 H 1.763996 2.069251-4.007690
 O 0.00 0.00-2.719012
Ag 4.448147 4.449893-1.919012
Ag 4.448147 1.436093-1.919012
Ag 1.437838 4.449893-1.919012
Ag 1.437838 1.436093-1.919012
Ag 2.942993 2.942993 0.00
Ag 2.942993 0.00 0.00
Ag 0.00 2.942993 0.00
Ag 0.00 0.00 0.00
Ag 1.437838 1.436093 1.919012
Ag 1.437838 4.449893 1.919012
Ag 4.448147 1.436093 1.919012
Ag 4.448147 4.449893 1.919012
 O 0.00 0.00 2.719012
 C 3.674759 2.942993 3.493103
 H 4.121990 3.816735 4.007690
 H 4.121990 2.069251 4.007690
 C 2.211227 2.942993 3.493103
 H 1.763996 3.816735 4.007690
 H 1.763996 2.069251 4.007690
 O 0.00 5.885983-2.719012
Ag 2.942993 5.885983 0.00
Ag 0.00 5.885983 0.00
 O 0.00 5.885983 2.719012
 O 5.885983 0.00-2.719012
Ag 5.885983 2.942993 0.00
Ag 5.885983 0.00 0.00
 O 5.885983 0.00 2.719012
 O 5.885983 5.885983-2.719012
Ag 5.885983 5.885983 0.00
 O 5.885983 5.885983 2.719012

K_POINTS {gamma}

A BIT of OUTPUT FILE

ATOMIC_POSITIONS (angstrom)
C   23.936881089   5.854758432   2.384283563
H5.319738992   3.101932011  -2.806230409
H5.032723666   3.366896985  -3.263624443
C  -19.193958442  -0.839672619  -8.633281572
H2.840673809   3.320817821  -3.598829264
H2.259010092   3.506469010  -4.024573435
O3.200827481   3.891444136  -5.674056522
Ag  -2.799093034   8.698187934   0.392246441
Ag   6.216802688   0.615454519  -1.827886947
Ag  -1.094861601   5.714331653  -3.826763750
Ag  -0.821908140  -7.523290040  -8.937996255
Ag   7.394141127   8.391763262   7.199208896
Ag  66.2293865871065.326804153 192.584344197
Ag4515.057117298 369.600932228 188.645687521
Ag 395.079974228 976.00510  23.641381229
Ag  -0.868373165   1.254442767  -0.725095564
Ag   0.598543920   4.290748028   1.130598433
Ag   3.451303546   0.003835176  -2.147641351
Ag   4.967046204   4.664900169   1.274377193
O4.154896086   3.538399188   4.404896973
C  399.041692489-175.281493613-563.071390643
H3.281002088   3.892508380   4.191590229
H5.590682748   1.083007852   4.528641700
C 

[Pw_forum] Fwd: Final iteration often crashes after structure optimization

2015-08-10 Thread Youssef

Dear Ronald,

Strange behavior, it happens here (ggen.f90)  :

IF (ngm > ngm_g) CALL errore ('ggen', 'too many g-vectors', ngm)

I am not QE developer, but firstly I suggest to lower ecutrho to 280 Ry 
and see!!!


Youssef Aharbil,
Laboratory of Physics and Chemistry of Materials
Faculty of sciences Ben msik, Casablanca
Morocco



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Re: [Pw_forum] Band structure calculation using Quantum ESPRESSO

2015-08-10 Thread Axel Kohlmeyer
On Aug 9, 2015 11:57 PM, "sapna bondwal" 
wrote:
>
> Dear all,
>
> I want to know the steps involved in the band structure calculation of
small molecule, say SiH4 using QE. What are are the concerned executables?
In which order they must be used to get a clear picture of the electronic
structure and band gap.Please give some small example exercise to practice
the step by step use of executables correctly.

How should that be possible, when small molecules have no bands?

Axel
>
> Thank you in advance.
>
> --
>
> Sapna Bondwal
> Research Scholar
> IIT ROORKEE
>
>
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[Pw_forum] electron-phonon matrix element

2015-08-10 Thread pourya
Dear all

I would like to know whether the out put file with following format
elph.1.1.xml is electron-phonon matrix element or not.

Thanks in advance,
P.Ayria
Tohoku University Japan
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Re: [Pw_forum] Calculation of Physical quantity using pw.x executable.

2015-08-10 Thread Pascal Boulet
Dear Sapna,

Easy answer: have a look at the numerous examples given in the QE distribution. 
Run the examples, learn the logic of the keywords.

Best regards
Pascal

Le 10 août 2015 à 07:49, sapna bondwal  a écrit :

> 
> Dear all,
> 
> I want someone to give me the gist of all properties that can be calculated
>  and all physical quantities that can be obtained by using pw.x executable.
> I am interested in nanosystems. I have seen supercell approach written in
> every paper but I want to make it clear what it actually is? How do we use
> it for doing structural optimization of nanosystem? I expect some simple
> examples which can clarify the basic approach.   
> -- 
> 
> Sapna Bondwal
> Research Scholar
> IIT ROORKEE
> 
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Aix-Marseille Université - ST JEROME - Avenue Escadrille Normandie Niemen - 
13013 Marseille
Tél: +33(0)4 13 55 18 10 - Fax : +33(0)4 13 55 18 50
Site : http://allos.up.univ-mrs.fr/pascal - Email : pascal.bou...@univ-amu.fr
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[Pw_forum] A problem of parallel excuting pwcond.x

2015-08-10 Thread 庞瑞(PANG Rui)
Dear all
I want to follow the example  of the following page titled with " Monatomic Ni 
wire with a spin reversal"
http://iramis.cea.fr/Pisp/alexander.smogunov/PWCOND/examples.html
However, I found I could run the example correctly by using only 8 cores. If 
using 16, 32 and 64 cores, the code will stop at 
" ngper, shell number =  804  82
 ngper, n2d =  804 391
---  E-Ef =2.000  k =0.500   0.500
---  ie =  1  ik =  1" 

and showed


"forrtl: severe (174): SIGSEGV, segmentation fault occurred
Image  PCRoutineLineSource  
 
  
pwcond.x   025AD7C9  Unknown   Unknown  Unknown
pwcond.x   025AC140  Unknown   Unknown  Unknown
pwcond.x   0255DBC2  Unknown   Unknown  Unknown
pwcond.x   024F15F3  Unknown   Unknown  Unknown
pwcond.x   024F753B  Unknown   Unknown  Unknown
libpthread.so.0003F2280F710  Unknown   Unknown  Unknown
pwcond.x   004F9B35  scatter_forw_ 444  
scatter_forw.
f90
pwcond.x   004ADD66  do_cond_  518  do_cond.f90
pwcond.x   004A8B42  MAIN__ 22  condmain.f90
pwcond.x   00498036  Unknown   Unknown  Unknown
libc.so.6  003F2241ED1D  Unknown   Unknown  Unknown
pwcond.x   00497F29  Unknown   Unknown  Unknown"

So could anyone tell me how can I  fix this error so that I can using more 
cores to excute pwcond.x? I met this problem in both 5.1.2 and 5.2.

Thanks very much for any help.

Sincerely.

Pang Rui

 





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庞瑞(PANG Rui)



South University of Science and Technology of China/Department of Physics

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Re: [Pw_forum] Band structure calculation using Quantum ESPRESSO

2015-08-10 Thread Mohan maruthi sena
Hi,
  Please go through the following links to know about band gap
calculations in quantum espresso:

http://hawk.fisica.uminho.pt/ricardo-ribeiro/QEnotes.html
http://web.stanford.edu/group/evanreed/teaching/331/homeworks/Homework_6/tutorial_pwscf_ex.pdf
https://github.com/NNemec/quantum-espresso/tree/master/examples/example05

Thanks & Regards,
Mohan

On Mon, Aug 10, 2015 at 11:27 AM, sapna bondwal  wrote:

> Dear all,
>
> I want to know the steps involved in the band structure calculation of
> small molecule, say SiH4 using QE. What are are the concerned executables?
> In which order they must be used to get a clear picture of the electronic
> structure and band gap.Please give some small example exercise to practice
> the step by step use of executables correctly.
>
> Thank you in advance.
>
> --
>
> Sapna Bondwal
> Research Scholar
> IIT ROORKEE
>
>
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