[molpro-user] Bug in spin-orbit calculation

ZOUWL qcband at gmail.com
Thu Nov 26 02:49:37 CET 2015


Dear developers,

There may be a bug in the following spin-orbit calculation. The low-lying
1D, 3P, 3F, and 5F states of Ta+ are calculated at the CASSCF(4,6) level,
where the 5d6s orbitals are active. Group symmery used here is Ci, but the
results and errors are the same if D2h is used. All the calculations are
performed using the 2010 version. Input:

***,Ta+, SOC with ECP
memory,100,m

symmetry,xyz

geometry={Ta}

basis=vtz-pp

{multi;natorb,ci;
frozen,0;closed,1,3;occ,7,3;
wf,12,1,0;state,5;   ! 1D
wf,12,1,2;state,10;  ! 3P, 3F
wf,12,1,4;state,7;   ! 5F
}

{ci;noexc;wf,12,1,0;state,5;
save,4201.3;}
{ci;noexc;wf,12,1,2;state,10;
save,4221.3;}
{ci;noexc;wf,12,1,4;state,7;
save,4241.3;}

! SOC: singlet and triplet states
{ci;hlsmat,ecpls,4201.3,4221.3;}
! SOC: triplet and quintet states
{ci;hlsmat,ecpls,4221.3,4241.3;}
! SOC: singlet and quintet states
{ci;hlsmat,ecpls,4201.3,4241.3;}
---

The CASSCF energies of L-S states are degenerate (normal):
1D: -56.47502225 (x 5)
3P: -56.49919112 (x 3)
3F: -56.48533379 (x 7)
5F: -56.52492675 (x 7)

In the first (singlet + triplet) and the third (singlet + quintet) SOC
calculations, the energies of atomic J terms are degenerate (normal):

   Nr  Sym         E             E-E0         E-E0           E-E(1)
 E-E(1)      E-E(1)
                 (au)            (au)        (cm-1)           (au)
(cm-1)        (eV)
   1   1    -56.51000193     -0.01081081    -2372.70      0.00000000
 0.00      0.0000
   2   1    -56.50459652     -0.00540540    -1186.35      0.00540540
1186.35      0.1471
   3   1    -56.50459652     -0.00540540    -1186.35      0.00540540
1186.35      0.1471
   4   1    -56.50459652     -0.00540540    -1186.35      0.00540540
1186.35      0.1471
   5   1    -56.50158234     -0.00239123     -524.81      0.00841958
1847.88      0.2291
   6   1    -56.50158234     -0.00239123     -524.81      0.00841958
1847.88      0.2291
   7   1    -56.50158234     -0.00239123     -524.81      0.00841958
1847.88      0.2291
   8   1    -56.50158234     -0.00239123     -524.81      0.00841958
1847.88      0.2291
   9   1    -56.50158234     -0.00239123     -524.81      0.00841958
1847.88      0.2291
  10   1    -56.49671921      0.00247191      542.52      0.01328272
2915.22      0.3614
  11   1    -56.49671921      0.00247191      542.52      0.01328272
2915.22      0.3614
  12   1    -56.49671921      0.00247191      542.52      0.01328272
2915.22      0.3614
  13   1    -56.49671921      0.00247191      542.52      0.01328272
2915.22      0.3614
  14   1    -56.49671921      0.00247191      542.52      0.01328272
2915.22      0.3614
...
   Nr         E             E-E0         E-E0           E-E(1)      E-E(1)
     E-E(1)
            (au)            (au)        (cm-1)           (au)       (cm-1)
       (eV)
   1   -56.54141852    -0.01649177    -3619.53      0.00000000        0.00
     0.0000
   2   -56.54141852    -0.01649177    -3619.53      0.00000000        0.00
     0.0000
   3   -56.54141852    -0.01649177    -3619.53      0.00000000        0.00
     0.0000
   4   -56.53729558    -0.01236883    -2714.64      0.00412294      904.88
     0.1122
   5   -56.53729558    -0.01236883    -2714.64      0.00412294      904.88
     0.1122
   6   -56.53729558    -0.01236883    -2714.64      0.00412294      904.88
     0.1122
   7   -56.53729558    -0.01236883    -2714.64      0.00412294      904.88
     0.1122
   8   -56.53729558    -0.01236883    -2714.64      0.00412294      904.88
     0.1122
   9   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
  10   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
  11   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
  12   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
  13   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
  14   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
  15   -56.53111117    -0.00618441    -1357.32      0.01030736     2262.20
     0.2805
...

However, in the second SOC calculation (triplet + quintet), spherical
degeneracy (degeneracy = J * 2 + 1) is broken because of unknown reasons:

   Nr         E             E-E0         E-E0           E-E(1)      E-E(1)
     E-E(1)
            (au)            (au)        (cm-1)           (au)       (cm-1)
       (eV)
   1   -56.54145102    -0.01652427    -3626.66      0.00000000        0.00
     0.0000
   2   -56.54145075    -0.01652400    -3626.60      0.00000027        0.06
     0.0000
   3   -56.54144331    -0.01651655    -3624.96      0.00000771        1.69
     0.0002
   4   -56.53734340    -0.01241665    -2725.14      0.00410762      901.52
     0.1118
   5   -56.53734093    -0.01241418    -2724.60      0.00411009      902.06
     0.1118
   6   -56.53731961    -0.01239286    -2719.92      0.00413141      906.74
     0.1124
   7   -56.53730864    -0.01238189    -2717.51      0.00414238      909.15
     0.1127
   8   -56.53730809    -0.01238134    -2717.39      0.00414293      909.27
     0.1127
   9   -56.53118445    -0.00625770    -1373.41      0.01026657     2253.25
     0.2794
  10   -56.53117231    -0.00624555    -1370.74      0.01027871     2255.92
     0.2797
  11   -56.53116127    -0.00623451    -1368.32      0.01028975     2258.34
     0.2800
  12   -56.53114109    -0.00621434    -1363.89      0.01030993     2262.77
     0.2805
  13   -56.53113027    -0.00620352    -1361.52      0.01032075     2265.14
     0.2808
  14   -56.53112879    -0.00620203    -1361.19      0.01032223     2265.47
     0.2809
  15   -56.53112337    -0.00619661    -1360.00      0.01032765     2266.66
     0.2810
...

There is no such a problem in the following all-electron calculation, so
the error may be related to the ECPLS option.

***,Ta+, SOC with A.E.
memory,100,m

symmetry,xyz

geometry={Ta}

basis=vtz-dk

set dkroll=1

{hf;occ,21,19;wf,80,1,0}

{multi;natorb,ci;
! 4f5s5p are inactive
frozen,14,9;closed,15,19;occ,21,19;
wf,72,1,0;state,5;   ! 1D
wf,72,1,2;state,10;  ! 3P, 3F
wf,72,1,4;state,7;   ! 5F
}

{ci;noexc;wf,72,1,0;state,5;
save,4201.3;}
{ci;noexc;wf,72,1,2;state,10;
save,4221.3;}
{ci;noexc;wf,72,1,4;state,7;
save,4241.3;}

lsint
{ci;hlsmat,ls,4201.3,4221.3;}
{ci;hlsmat,ls,4221.3,4241.3;}
{ci;hlsmat,ls,4201.3,4241.3;}
---

Best wishes,
Wenli
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://www.molpro.net/pipermail/molpro-user/attachments/20151126/82cb26da/attachment.html>


More information about the Molpro-user mailing list