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#1 2016-11-26 16:05:01

wull
Member
Registered: 2016-11-15
Posts: 5

the combination of ECP and AMFI

Dear admin,

    As far as I know, for the atomic mean-field (AMFI), Douglas-Kroll (DOUG) hamiltonian must be employed. However the pseudopotential for metals already contain the spin-orbit operators. So, when I combine the AMFI and the ECP to conduct the SO-calculations, the values is about twice compared with the experimental value. We have tested that  the splitting values (7F0-7F6) for the Eu3+ ion is ~9400cm-1 when the combination of AMFI and ECP is used, whereas the experimental value is only ~4900cm-1. But when I choose the all-electron basis , the value is ~5900cm-1. The splittings are shown below.What can I do to solve this problem?

ps: ECP is necessary for my system to consider the relativistic effect.


For AMFI+ECP

   Eigenvalues of complex Hamiltonian:
   -----------------------------------


        Total energy (au)    Rel lowest level(eV)    D:o, cm**(-1)

   1     -707.00041557            0.000000               0.000
   2     -706.99837646            0.055487             447.535
   3     -706.99837646            0.055487             447.535
   4     -706.99837646            0.055487             447.535
   5     -706.99429822            0.166462            1342.604
   6     -706.99429822            0.166462            1342.604
   7     -706.99429822            0.166462            1342.604
   8     -706.99429822            0.166462            1342.604
   9     -706.99429822            0.166462            1342.604
  10     -706.98818087            0.332923            2685.208
  11     -706.98818087            0.332923            2685.208
  12     -706.98818087            0.332923            2685.208
  13     -706.98818087            0.332923            2685.208
  14     -706.98818087            0.332923            2685.208
  15     -706.98818087            0.332923            2685.208
  16     -706.98818087            0.332923            2685.208
  17     -706.98002440            0.554872            4475.346
  18     -706.98002440            0.554872            4475.346
  19     -706.98002440            0.554872            4475.346
  20     -706.98002440            0.554872            4475.346
  21     -706.98002440            0.554872            4475.346
  22     -706.98002440            0.554872            4475.346
  23     -706.98002440            0.554872            4475.346
  24     -706.98002440            0.554872            4475.346
  25     -706.98002440            0.554872            4475.346
  26     -706.96982881            0.832308            6713.019
  27     -706.96982881            0.832308            6713.019
  28     -706.96982881            0.832308            6713.019
  29     -706.96982881            0.832308            6713.019
  30     -706.96982881            0.832308            6713.019
  31     -706.96982881            0.832308            6713.019
  32     -706.96982881            0.832308            6713.019
  33     -706.96982881            0.832308            6713.019
  34     -706.96982881            0.832308            6713.019
  35     -706.96982881            0.832308            6713.019
  36     -706.96982881            0.832308            6713.019
  37     -706.95759410            1.165232            9398.227
  38     -706.95759410            1.165232            9398.227
  39     -706.95759410            1.165232            9398.227
  40     -706.95759410            1.165232            9398.227
  41     -706.95759410            1.165232            9398.227
  42     -706.95759410            1.165232            9398.227
  43     -706.95759410            1.165232            9398.227
  44     -706.95759410            1.165232            9398.227
  45     -706.95759410            1.165232            9398.227
  46     -706.95759410            1.165232            9398.227
  47     -706.95759410            1.165232            9398.227
  48     -706.95759410            1.165232            9398.227
  49     -706.95759410            1.165232            9398.227

For all electron

   Eigenvalues of complex Hamiltonian:
   -----------------------------------

  (Shifted by EVAC (a.u.) =           -9000.0)

        Relative EVac(au)    Rel lowest level(eV)    D:o, cm**(-1)

   1     -748.70813691            0.000000               0.000
   2     -748.70684249            0.035223             284.093
   3     -748.70684249            0.035223             284.093
   4     -748.70684249            0.035223             284.093
   5     -748.70425364            0.105669             852.280
   6     -748.70425364            0.105669             852.280
   7     -748.70425364            0.105669             852.280
   8     -748.70425364            0.105669             852.280
   9     -748.70425364            0.105669             852.280
  10     -748.70037037            0.211338            1704.560
  11     -748.70037037            0.211338            1704.560
  12     -748.70037037            0.211338            1704.560
  13     -748.70037037            0.211338            1704.560
  14     -748.70037037            0.211338            1704.560
  15     -748.70037037            0.211338            1704.560
  16     -748.70037037            0.211338            1704.560
  17     -748.69519267            0.352231            2840.933
  18     -748.69519267            0.352231            2840.933
  19     -748.69519267            0.352231            2840.933
  20     -748.69519267            0.352231            2840.933
  21     -748.69519267            0.352231            2840.933
  22     -748.69519267            0.352231            2840.933
  23     -748.69519267            0.352231            2840.933
  24     -748.69519267            0.352231            2840.933
  25     -748.69519267            0.352231            2840.933
  26     -748.68872055            0.528346            4261.400
  27     -748.68872055            0.528346            4261.400
  28     -748.68872055            0.528346            4261.400
  29     -748.68872055            0.528346            4261.400
  30     -748.68872055            0.528346            4261.400
  31     -748.68872055            0.528346            4261.400
  32     -748.68872055            0.528346            4261.400
  33     -748.68872055            0.528346            4261.400
  34     -748.68872055            0.528346            4261.400
  35     -748.68872055            0.528346            4261.400
  36     -748.68872055            0.528346            4261.400
  37     -748.68095400            0.739685            5965.960
  38     -748.68095400            0.739685            5965.960
  39     -748.68095400            0.739685            5965.960
  40     -748.68095400            0.739685            5965.960
  41     -748.68095400            0.739685            5965.960
  42     -748.68095400            0.739685            5965.960
  43     -748.68095400            0.739685            5965.960
  44     -748.68095400            0.739685            5965.960
  45     -748.68095400            0.739685            5965.960
  46     -748.68095400            0.739685            5965.960
  47     -748.68095400            0.739685            5965.960
  48     -748.68095400            0.739685            5965.960
  49     -748.68095400            0.739685            5965.960

Last edited by wull (2016-11-26 16:30:58)

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#2 2017-02-23 17:14:53

nikolay
Member
From: Stuttgart
Registered: 2016-03-21
Posts: 54

Re: the combination of ECP and AMFI

Hi wull,

currently with Molcas it is only possible to run SO-calculations with all-electron basis set via AMFI.
If you care about the relativistic effects, the good choice is also use ANO-RCC or some other basis set with the -DK suffix together with the Douglas-Kroll or X2C option.

At the moment ECP's in Molcas do not include the spin-orbit potential part, therefore there is no SOC contribution from the core electrons.
In principle it is possible to implement the SOC part of the ECP (it has the same form as the scalar relativistic part) and combine it together with AMFI in some fashion.
Is there an expert to comment on that?
I also wonder what is the situation with combining ECPs and AMFI?
Does the calculation simply lacks the SOC at sites with ECPs or the results are spoiled?

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#3 2017-02-28 13:49:44

wull
Member
Registered: 2016-11-15
Posts: 5

Re: the combination of ECP and AMFI

The current basis set libraries in Molcas for Eu are only /Eu.ECP.Dolg.7s6p5d.5s4p3d.11e-MWB. and /Eu.ECP.Dolg.7s6p5d.5s4p3d.10e-MWB. These two do not contain the f shell of Eu.
Therefore, we use the energy-consistent scalar-relativistic WB-adjusted 28-electron-core pseudopotential associated with the ECP28MWB_ANO (14s13p10d8f6g)/[6s6p5d4f3g]  basis set for the Eu instead.
Unfortunately, we encounter the above mentioned problem.  But, when I turn to molpro, the obtained splitting values are comparable with the experimental values. I don't what makes the difference.



nikolay wrote:

Hi wull,

currently with Molcas it is only possible to run SO-calculations with all-electron basis set via AMFI.
If you care about the relativistic effects, the good choice is also use ANO-RCC or some other basis set with the -DK suffix together with the Douglas-Kroll or X2C option.

At the moment ECP's in Molcas do not include the spin-orbit potential part, therefore there is no SOC contribution from the core electrons.
In principle it is possible to implement the SOC part of the ECP (it has the same form as the scalar relativistic part) and combine it together with AMFI in some fashion.
Is there an expert to comment on that?
I also wonder what is the situation with combining ECPs and AMFI?
Does the calculation simply lacks the SOC at sites with ECPs or the results are spoiled?

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#4 2017-02-28 15:21:15

nikolay
Member
From: Stuttgart
Registered: 2016-03-21
Posts: 54

Re: the combination of ECP and AMFI

wull wrote:

The current basis set libraries in Molcas for Eu are only /Eu.ECP.Dolg.7s6p5d.5s4p3d.11e-MWB. and /Eu.ECP.Dolg.7s6p5d.5s4p3d.10e-MWB. These two do not contain the f shell of Eu.

There are other basis sets too, molcas help basis Eu gives

Recommended basis sets for  Eu
Eu.ANO-RCC-MB                            Eu.ANO-RCC...6s5p3d1f.
Eu.ANO-RCC-VDZ                           Eu.ANO-RCC...7s6p4d2f.
Eu.ANO-RCC-VDZP                          Eu.ANO-RCC...7s6p4d2f1g.
Eu.ANO-RCC-VTZP                          Eu.ANO-RCC...8s7p5d3f2g1h.
Eu.ANO-RCC-VQZP                          Eu.ANO-RCC...9s8p6d4f3g2h.

Other basis sets for  Eu
Eu.ANO-DK3.Tsuchiya.27s23p15d10f.6s4p2d1f.
Eu.ano-rcc.Roos.25s22p15d11f4g2h.12s11p8d7f4g2h.
Eu.ECP.Seijo.14s10p9d8f3g.2s1p1d1f1g.17e-CG-AIMP.
Eu.ECP.Seijo.14s10p10d8f3g.2s1p2d1f1g.27e-CG-AIMP.
Eu.ECP.Seijo.14s10p10d8f3g.3s2p2d1f1g.35e-CG-AIMP.
Eu.ECP.Tsuchiya.14s10p9d8f.2s1p1d1f.17e-DK3-AIMP.
Eu.ECP.Stoll.7s6p5d.5s4p3d.11e-MWB.
Eu.ECP.Stoll.7s6p5d.5s4p3d.10e-MWB.
Eu.ECP.Tsuchiya.14s10p9d8f.2s1p1d1f.17e-DK3-AIMP.
Eu.ECP.Dolg.7s6p5d.5s4p3d.11e-MWB.
Eu.ECP.Dolg.7s6p5d.5s4p3d.10e-MWB.
wull wrote:

But, when I turn to molpro, the obtained splitting values are comparable with the experimental values. I don't know what makes the difference.

As I said in my previous message ECPs consist of two parts: scalar relativistic and SOC.
In Molpro both are implemented, in Molcas there is only the first one (correct me if I'm wrong).
As far as I know, the only way to get SOC with Molcas at the moment is to use either Eu.ANO-RCC or Eu.ANO-DK3.

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#5 2017-03-01 09:06:06

wull
Member
Registered: 2016-11-15
Posts: 5

Re: the combination of ECP and AMFI

Thank you very much for your suggestion. I have obtained the right split values by using either Eu.ANO-RCC or Eu.ANO-DK3 in Molcas. They both are all-electron basis set. The generation of the basis sets has been carried out without taking spin-orbit coupling into account.
However, the WB-adjusted 28-electron-core pseudopotential developed by M. Dolg et al has included the corresponding spin-orbit effects. The SO coupling will be calculated twice when this pseudopotential is used. Is this the reason why I got the strange split value before?


nikolay wrote:

As far as I know, the only way to get SOC with Molcas at the moment is to use either Eu.ANO-RCC or Eu.ANO-DK3.

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#6 2017-03-01 12:40:09

nikolay
Member
From: Stuttgart
Registered: 2016-03-21
Posts: 54

Re: the combination of ECP and AMFI

wull wrote:

Thank you very much for your suggestion. I have obtained the right split values by using either Eu.ANO-RCC or Eu.ANO-DK3 in Molcas. They both are all-electron basis set. The generation of the basis sets has been carried out without taking spin-orbit coupling into account.

I think with the posteriori perturbation SOC treatment as in Molcas or Molpro no special care is needed beyond scalar relativistic.
Using of ECP is only an approximation to the all-electron calculation with ANO/DK basis set.

wull wrote:

However, the WB-adjusted 28-electron-core pseudopotential developed by M. Dolg et al has included the corresponding spin-orbit effects. The SO coupling will be calculated twice when this pseudopotential is used. Is this the reason why I got the strange split value before?

The original ECP28MWB potential taken, say, from here (Molpro format)

!  Q=35., MEFIT, WB, Ref 9.
ECP,Eu,28,5,3;                     ! Lmax=5 for scalar, Lmax=3 for SOC
1; 2,1.000000,0.000000; 
1; 2,23.471384,607.659331; 
1; 2,16.772479,264.385476; 
1; 2,13.981343,115.381375; 
1; 2,23.962888,-49.400794; 
1; 2,21.232458,-26.748273; 
                                         ! Last three functions are for SOC
1; 2,16.772479,19.869243; 
1; 2,13.981343,1.523881; 
1; 2,23.962888,0.399191; 

! References:
! [9] M. Dolg, H. Stoll, H. Preuss, J. Chem. Phys. 90, 1730 (1989).

If you download it from the EMSL, you get (Molcas format, same for Molpro)

ECP
Eu nelec 28
Eu ul
2      1.000000000            0.000000000      
Eu S
2     23.471384000          607.659331000      
Eu P
2     16.772479000          264.385476000      
Eu D
2     13.981343000          115.381375000      
Eu F
2     23.962888000          -49.400794000      
Eu G
2     21.232458000          -26.748273000      
END

which doesn't include the SOC part.

Moreover, at the moment there is no mechanism in Molcas to make use of that SOC part.
I hope someone else can comment on that.

Last edited by nikolay (2017-03-01 12:40:34)

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