[gpaw-users] about PAW datasets for rare earth elements

shijm89 shijm89 at 163.com
Tue Aug 21 14:07:12 CEST 2018


Thank you for help.
I'm confused, since I already tried the 1.4.1b1 version.
So you means that I should try the master version?

On 08/21/2018 05:49 AM, shijm89 wrote:

Thanks for the hint.
I have tried to insert the print statment, but I can not see anything from the output.

OK, I am now able to reproduce your result if I add "--create-basis-set" on the command line.  Latest version of GPAW does not create a basis set unless you ask for it.  So, if you use that version, you should be fine.

Jens Jørgen



here is the output before I insert the command.

Z:               59
Name:            Praseodymium
Symbol:          Pr
XC-functional:   PBE
Equation:        Schrödinger
Grid points:     2000 (0.00000, 0.00012, 0.00024, ..., 40.109, 43.777)
Exponents:       50 (0.010, 0.014, ..., 123852.612, 174050.000)
Basis functions: 38, 42, 45, 48 (s, p, d, f)

Solving non-relativistic Schrödinger equation using Gaussian basis-set:
.......................................................
Converged in 54 steps

 state  occupation         eigenvalue          <r>
 nl                  [Hartree]        [eV]    [Bohr]
-----------------------------------------------------
 1s        2.000  -1458.572075   -39689.76776  0.026
 2s        2.000   -227.582496    -6192.83514  0.110
 2p        6.000   -215.488117    -5863.73034  0.094
 3s        2.000    -48.970155    -1332.54579  0.287
 3p        6.000    -43.711528    -1189.45126  0.277
 3d       10.000    -33.913516     -922.83377  0.248
 4s        2.000     -9.607125     -261.42317  0.654
 4p        6.000     -7.630834     -207.64556  0.674
 4d       10.000     -4.157232     -113.12406  0.726
 5s        2.000     -1.293333      -35.19338  1.590
 5p        6.000     -0.775567      -21.10426  1.801
 4f        3.000     -0.147318       -4.00872  1.089
 6s        2.000     -0.120401       -3.27627  4.726
 5d        0.000     -0.094003       -2.55794  3.144
 6p        0.000     -0.049918       -1.35833  6.169

Energies:          [Hartree]           [eV]
--------------------------------------------
 kinetic        +8919.467260  +242711.06674
 coulomb (e-e)  +3508.273846   +95464.99390
 coulomb (e-n) -21142.587202  -575319.10192
 xc              -208.432815    -5671.74579
 total          -8923.278912  -242814.78707

Exact exchange energy: -204.812787 Hartree, -5573.23981 eV

Solving scalar-relativistic Schrödinger equation using finite difference:
...................................................................
Converged in 66 steps

 state  occupation         eigenvalue          <r>
 nl                  [Hartree]        [eV]    [Bohr]
-----------------------------------------------------
 1s        2.000  -1536.748679   -41817.06152  0.024
 2s        2.000   -247.225629    -6727.35203  0.103
 2p        6.000   -221.200001    -6019.15861  0.091
 3s        2.000    -53.337052    -1451.37510  0.272
 3p        6.000    -45.095311    -1227.10591  0.270
 3d       10.000    -33.529275     -912.37804  0.247
 4s        2.000    -10.601806     -288.48985  0.622
 4p        6.000     -7.909779     -215.23605  0.659
 4d       10.000     -4.060953     -110.50417  0.727
 5s        2.000     -1.434246      -39.02781  1.508
 5p        6.000     -0.789152      -21.47392  1.767
 6s        2.000     -0.127243       -3.46245  4.499
 5d        0.000     -0.074375       -2.02385  3.327
 4f        3.000     -0.045833       -1.24717  1.211
 6p        0.000     -0.045766       -1.24537  6.181

Energies:          [Hartree]           [eV]
--------------------------------------------
 kinetic        +9810.823915  +266966.11677
 coulomb (e-e)  +3578.426750   +97373.95164
 coulomb (e-n) -22410.790914  -609828.68267
 xc              -215.752743    -5870.93117
 total          -9237.292992  -251359.54542

Exact exchange energy: -211.934912 Hartree, -5767.04270 eV

Generating PAW PBE setup for Pr
Shape function: exp(-alpha*r^2), alpha=2.6 Bohr^-2
Core electrons: 46.0
Valence electrons: 13.0
Local potential matching g-scattering at e=0.0 eV and r=2.00 Bohr
Constructing smooth pseudo core density for r < 2.244
Pseudo core electrons: 0.212095

Projectors:
 state  occ         energy             norm        rcut
 nl            [Hartree]  [eV]      [electrons]   [Bohr]
----------------------------------------------------------
 5s    2.00  -1.434246  -39.02781      0.637       2.95
 6s    2.00  -0.127243   -3.46245      0.974       2.95
 5p    6.00  -0.789152  -21.47392      0.762       2.65
 6p    0.00  -0.045766   -1.24537      0.985       2.65
 5d    0.00  -0.074375   -2.02385      0.984       2.30
  d           2.200000   59.86505                  2.30
 4f    3.00  -0.045833   -1.24717      0.290       2.05
  f           0.400000   10.88455                  2.05

Checking eigenvalues of Pr pseudo atom using a Gaussian basis set:
                 AE [eV]        PS [eV]      error [eV]
 1s   2       -41817.062
 2s   2        -6727.352
 3s   2        -1451.375
 4s   2         -288.490
 5s   2          -39.028        -39.021          0.007
 6s   2           -3.462         -3.467         -0.005
                  -0.081         -0.081          0.000
                   0.875          0.853         -0.023
                   2.695          2.634         -0.061
                   5.951          5.825         -0.127
                  11.858         11.525         -0.333
                  22.800         21.866         -0.934
 2p   6        -6019.159
 3p   6        -1227.106
 4p   6         -215.236
 5p   6          -21.474        -21.455          0.019
 6p   0           -1.245         -1.246         -0.001
                   0.263          0.289          0.026
                   1.150          1.180          0.030
                   2.857          2.883          0.026
                   5.680          5.710          0.029
                  10.305         10.323          0.018
                  18.006         18.004         -0.003
 3d  10         -912.378
 4d  10         -110.504
 5d   0           -2.024         -2.017          0.007
                   0.300          0.352          0.052
                   0.880          0.950          0.070
                   2.065          2.163          0.098
                   3.932          4.071          0.139
                   6.827          6.993          0.166
                  11.356         11.550          0.195
 4f   3           -1.247         -1.211          0.036
                   0.654          0.667          0.013
                   1.324          1.372          0.047
                   2.427          2.495          0.069
                   4.087          4.194          0.107
                   6.500          6.638          0.137
                  10.031         10.207          0.176
/home/loampc-b/GPAW/gpaw-1.3.1/gpaw/atom/aeatom.py:298: RuntimeWarning: invalid value encountered in double_scalars
  ag = np.exp(-(-2 * e)**0.5 * (r_g[gmax - 2] - r_g[gmax - 1]))

and here is the output after I inserted print(e) before line:298.

Z:               59
Name:            Praseodymium
Symbol:          Pr
XC-functional:   PBE
Equation:        Schrödinger
Grid points:     2000 (0.00000, 0.00012, 0.00024, ..., 40.109, 43.777)
Exponents:       50 (0.010, 0.014, ..., 123852.612, 174050.000)
Basis functions: 38, 42, 45, 48 (s, p, d, f)

Solving non-relativistic Schrödinger equation using Gaussian basis-set:
.......................................................
Converged in 54 steps

 state  occupation         eigenvalue          <r>
 nl                  [Hartree]        [eV]    [Bohr]
-----------------------------------------------------
 1s        2.000  -1458.572075   -39689.76776  0.026
 2s        2.000   -227.582496    -6192.83514  0.110
 2p        6.000   -215.488117    -5863.73034  0.094
 3s        2.000    -48.970155    -1332.54579  0.287
 3p        6.000    -43.711528    -1189.45126  0.277
 3d       10.000    -33.913516     -922.83377  0.248
 4s        2.000     -9.607125     -261.42317  0.654
 4p        6.000     -7.630834     -207.64556  0.674
 4d       10.000     -4.157232     -113.12406  0.726
 5s        2.000     -1.293333      -35.19338  1.590
 5p        6.000     -0.775567      -21.10426  1.801
 4f        3.000     -0.147318       -4.00872  1.089
 6s        2.000     -0.120401       -3.27627  4.726
 5d        0.000     -0.094003       -2.55794  3.144
 6p        0.000     -0.049918       -1.35833  6.169

Energies:          [Hartree]           [eV]
--------------------------------------------
 kinetic        +8919.467260  +242711.06674
 coulomb (e-e)  +3508.273846   +95464.99390
 coulomb (e-n) -21142.587202  -575319.10192
 xc              -208.432815    -5671.74579
 total          -8923.278912  -242814.78707

Exact exchange energy: -204.812787 Hartree, -5573.23981 eV

Solving scalar-relativistic Schrödinger equation using finite difference:
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-53.3370544766141
-53.33705378352016
-10.601807969812315
-10.60180761427318
-1.434246503506588
-1.4342463042901112
-0.12724295045385373
-0.1272428689603592
-221.20004060125828
-221.20003083742426
-45.09531313880925
-45.095312518607756
-7.909780631125558
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-0.0743752472321879
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-0.045832834463485524
-0.04583277423137479
.
Converged in 66 steps

 state  occupation         eigenvalue          <r>
 nl                  [Hartree]        [eV]    [Bohr]
-----------------------------------------------------
 1s        2.000  -1536.748679   -41817.06152  0.024
 2s        2.000   -247.225629    -6727.35203  0.103
 2p        6.000   -221.200001    -6019.15861  0.091
 3s        2.000    -53.337052    -1451.37510  0.272
 3p        6.000    -45.095311    -1227.10591  0.270
 3d       10.000    -33.529275     -912.37804  0.247
 4s        2.000    -10.601806     -288.48985  0.622
 4p        6.000     -7.909779     -215.23605  0.659
 4d       10.000     -4.060953     -110.50417  0.727
 5s        2.000     -1.434246      -39.02781  1.508
 5p        6.000     -0.789152      -21.47392  1.767
 6s        2.000     -0.127243       -3.46245  4.499
 5d        0.000     -0.074375       -2.02385  3.327
 4f        3.000     -0.045833       -1.24717  1.211
 6p        0.000     -0.045766       -1.24537  6.181

Energies:          [Hartree]           [eV]
--------------------------------------------
 kinetic        +9810.823915  +266966.11677
 coulomb (e-e)  +3578.426750   +97373.95164
 coulomb (e-n) -22410.790914  -609828.68267
 xc              -215.752743    -5870.93117
 total          -9237.292992  -251359.54542

Exact exchange energy: -211.934912 Hartree, -5767.04270 eV

Generating PAW PBE setup for Pr
Shape function: exp(-alpha*r^2), alpha=2.6 Bohr^-2
Core electrons: 46.0
Valence electrons: 13.0
Local potential matching g-scattering at e=0.0 eV and r=2.00 Bohr
Constructing smooth pseudo core density for r < 2.244
Pseudo core electrons: 0.212095

Projectors:
 state  occ         energy             norm        rcut
 nl            [Hartree]  [eV]      [electrons]   [Bohr]
----------------------------------------------------------
 5s    2.00  -1.434246  -39.02781      0.637       2.95
 6s    2.00  -0.127243   -3.46245      0.974       2.95
 5p    6.00  -0.789152  -21.47392      0.762       2.65
 6p    0.00  -0.045766   -1.24537      0.985       2.65
 5d    0.00  -0.074375   -2.02385      0.984       2.30
  d           2.200000   59.86505                  2.30
 4f    3.00  -0.045833   -1.24717      0.290       2.05
  f           0.400000   10.88455                  2.05

Checking eigenvalues of Pr pseudo atom using a Gaussian basis set:
                 AE [eV]        PS [eV]      error [eV]
 1s   2       -41817.062
 2s   2        -6727.352
 3s   2        -1451.375
 4s   2         -288.490
 5s   2          -39.028        -39.021          0.007
 6s   2           -3.462         -3.467         -0.005
                  -0.081         -0.081          0.000
                   0.875          0.853         -0.023
                   2.695          2.634         -0.061
                   5.951          5.825         -0.127
                  11.858         11.525         -0.333
                  22.800         21.866         -0.934
 2p   6        -6019.159
 3p   6        -1227.106
 4p   6         -215.236
 5p   6          -21.474        -21.455          0.019
 6p   0           -1.245         -1.246         -0.001
                   0.263          0.289          0.026
                   1.150          1.180          0.030
                   2.857          2.883          0.026
                   5.680          5.710          0.029
                  10.305         10.323          0.018
                  18.006         18.004         -0.003
 3d  10         -912.378
 4d  10         -110.504
 5d   0           -2.024         -2.017          0.007
                   0.300          0.352          0.052
                   0.880          0.950          0.070
                   2.065          2.163          0.098
                   3.932          4.071          0.139
                   6.827          6.993          0.166
                  11.356         11.550          0.195
 4f   3           -1.247         -1.211          0.036
                   0.654          0.667          0.013
                   1.324          1.372          0.047
                   2.427          2.495          0.069
                   4.087          4.194          0.107
                   6.500          6.638          0.137
                  10.031         10.207          0.176
-1.4342456713610958
-1.4211415048330842
-1.42386441186401
-1.4240317106374174
-1.4240291457090712
-0.12724258770520522
-0.1255759190766189
-0.12570883070209166
-0.12570968630991655
-0.7891521386923156
-0.775470603000201
-0.7770977782759291
-0.777100701704022
-0.045766333471354774
-0.03721537494121601
-0.03843444300495611
-0.03846766795386405
-0.07437520238237472
-0.06002324426095391
-0.06284684813753705
-0.0630688159943579
-0.06306925012833252
-0.04583277423137479
-0.04215890004529653
-0.038775455294252796
-0.011735372146105375
0.08497487873538354
/home/loampc-b/GPAW/gpaw-1.3.1/gpaw/atom/aeatom.py:298: RuntimeWarning: invalid value encountered in double_scalars
  ag = np.exp(-(-2 * e)**0.5 * (r_g[gmax - 2] - r_g[gmax - 1]))
nan
nan
nan
nan
nan
nan
nan
...
following endless nan



On 08/20/2018 10:13 AM, shijm89 wrote:

Thank you for your reply.

I had 1.14 before,
but after I upgraded the numpy to 1.15.
still same error occured.

Could you try to insert a print statement right before the failing line?  Print the value of "e" and maybe other interesting stuff.

Jens Jørgen



here are the details about my gpaw

python-2.7.12            /usr/bin/python
gpaw-1.4.0               /home/asus/.local/lib/python2.7/site-packages/gpaw/
ase-3.16.2               /home/asus/.local/lib/python2.7/site-packages/ase/
numpy-1.15.0             /usr/local/lib/python2.7/dist-packages/numpy/
scipy-1.0.1              /home/asus/mylib/lib/python2.7/site-packages/scipy-1.0.1-py2.7-linux-x86_64.egg/scipy/
_gpaw                    /home/asus/.local/lib/python2.7/site-packages/_gpaw.so
parallel                 /home/asus/.local/bin/gpaw-python
FFTW                     yes
scalapack                no
libvdwxc                 no
PAW-datasets             1: /usr/local/share/gpaw-setups
                         2: /usr/share/gpaw-setups


 

On 08/19/2018 02:16 PM, shijm89 wrote:

Dear Jens Jørgen,

when I use the command
gpaw dataset Pr -P 5s,6s,5p,6p,5d,2.2d,4f,0.4f,G -r 2.95,2.65,2.30,2.05 -0 5,2.00 -sw -f PBE
to generate the PAW data of Pr.

A error occured.

gpaw/atom/aeatom.py:297: RuntimeWarning: invaild value encountered in double_scalars 
ag=np.exp(-(-2 * e)**0.5 * (r_g[gmax - 2]-r_g[gmax -1]))

What version of NumPy do you have?  I have 1.15 and that works OK.

Jens Jørgen



I tried gpaw 1.3.1, 1.4.0 and 1.4.1b1. Same error occured.

Could you kindly give me a hint on this?


On 06/13/2018 09:01 AM, shijm89 wrote:

Dear Jens Jørgen

Thank you for your help on my problem before.
Could you kindly give me the experimental PAW datasets?

You can generate them by running these commands:

   gpaw dataset La -P 5s,6s,5p,6p,5d,3.2d,4f,0.4f,G -r 2.60,3.05,3.15,2.45 -0 5,2.35 -sw -f PBE
   gpaw dataset Ce -P 5s,6s,5p,6p,5d,0.2d,4f,0.7f,G -r 2.60,3.25,2.60,2.35 -0 5,2.15 -sw -f PBE
   gpaw dataset Pr -P 5s,6s,5p,6p,5d,2.2d,4f,0.4f,G -r 2.95,2.65,2.30,2.05 -0 5,2.00 -sw -f PBE
   gpaw dataset Nd -P 5s,6s,5p,6p,5d,3.8d,4f,-0.2f,G -r 2.80,2.30,2.10,2.15 -0 5,1.90 -sw -f PBE
   gpaw dataset Pm -P 5s,6s,5p,6p,5d,1.7d,4f,-0.3f,G -r 1.95,2.80,2.95,2.25 -0 5,1.95 -sw -f PBE
   gpaw dataset Sm -P 5s,6s,5p,6p,5d,2.6d,4f,-0.2f,G -r 2.40,3.15,2.70,3.15 -0 5,2.15 -sw -f PBE
   gpaw dataset Eu -P 5s,6s,5p,6p,5d,3.6d,4f,0.3f,G -r 3.15,3.10,3.05,2.85 -0 5,2.65 -sw -f PBE
   gpaw dataset Gd -P 5s,6s,5p,6p,5d,1.9d,4f,1.0f,G -r 2.95,2.55,2.50,2.65 -0 5,2.45 -sw -f PBE
   gpaw dataset Tb -P 5s,6s,5p,6p,5d,4.1d,4f,0.6f,G -r 2.45,2.95,2.80,2.65 -0 5,2.20 -sw -f PBE
   gpaw dataset Dy -P 5s,6s,5p,6p,5d,2.5d,4f,0.7f,G -r 2.70,3.35,2.90,3.10 -0 5,2.50 -sw -f PBE
   gpaw dataset Ho -P 5s,6s,5p,6p,5d,0.9d,4f,-0.3f,G -r 2.35,3.15,3.00,3.35 -0 5,2.25 -sw -f PBE
   gpaw dataset Er -P 5s,6s,5p,6p,5d,0.8d,4f,0.0f,G -r 2.75,2.85,2.55,3.00 -0 5,2.30 -sw -f PBE
   gpaw dataset Tm -P 5s,6s,5p,6p,5d,2.2d,4f,4.3f,G -r 2.70,2.90,3.20,2.65 -0 5,2.15 -sw -f PBE
   gpaw dataset Yb -P 5s,6s,5p,6p,5d,4.3d,4f,0.1f,G -r 2.80,3.00,2.60,2.80 -0 5,2.15 -sw -f PBE
   gpaw dataset Lu -P 5s,6s,5p,6p,5d,-1.1d,4f,-0.7f,G -r 2.65,2.70,2.75,2.55 -0 5,2.30 -sw -f PBE

You need latest master or version 1.4.0 with this small change:

    https://gitlab.com/gpaw/gpaw/commit/34058482

Jens Jørgen



Regards,
Merrick


On 05/30/2018 03:36 PM, shijm89 via gpaw-users wrote: 
> Hi 
> I'm interested in doing some calculations involving rare earth elements. 
> I found there is no PAW setup for these element, so I tried generating  
> setups by myself. 
> I tried 
> gpaw dataset La -f PBE -s -w 
> and 
> gpaw dataset Ce -f PBE -s -w 
> I did get setups file with no error. 
> But after I calculated the lattice constant of La and Ce, I found that  
> the results are not so close to expremental data. 
> Is this because the setups are not valid? 

What experimental data did you compare to? 

> Or did I do somethings wrong? 
> How can I get some valid setups for REM? 
> I found a paper which gives PAW datasets for REMs, is it possible to  
> use them in GPAW? 

I don't think so. 

> Accurate projected augmented wave (PAW) datasets for rare-earth  
> elements (RE=La-Lu) 
> http://www.vlab.msi.umn.edu/resources/repaw/index.shtml 

That link does not work for me.  Here are some calculations for  
RE-nitrides you could compare to: 

     http://dx.doi.org/10.1016/j.commatsci.2014.07.030 

I also have some experimental PAW datasets I could give you if you want. 

Jens Jørgen 

> Regards, 
> Merrick 
> 
> 
> _______________________________________________ 
> gpaw-users mailing list 
> gpaw-users at listserv.fysik.dtu.dk 
> https://listserv.fysik.dtu.dk/mailman/listinfo/gpaw-users 
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