BROKEN SYMMETRY

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Rizwan Nabi

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Jun 30, 2015, 8:00:30 AM6/30/15
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Hi dear cp2k users

I have a little confusion about BS section of cp2k input.
I have a poly-metallic complex in which some of my Mn atoms are in +2 Oxidation state and while some are in +3 Oxidation state i.e Mn(III) and Mn(II). Some of my metals ions need to be down-spin while others need to be up-spin.
I tried to keep some up-spin while others down-spin but I do not know whether the values I used are correct or not. Would anyone please help me set the correct values of KEYWORD NEL in BS.
Here I am showing my combination of NEL values.

Here                    Mn1 = MnII SPIN-UP
                           Mn2 = MnIII SPIN-UP
                           Mn3 = MnIII SPIN-DOWN
                           Mn4 = MnII  SPIN-DOWN
&KIND Mn1
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL        0       0
          L            0       2
          N           4       3
        &END
        &BETA
          NEL      -2       0
          L           0       2
          N          4       3
      &END
    &END
   &END
 &KIND Mn2
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL       0      0
          L           0      2
          N          4      3
        &END
        &BETA
          NEL      -2     -1
          L           0       2
          N          4       3
      &END
    &END
   &END
 &KIND Mn3
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
          &ALPHA
          NEL          -2     -1
          L               0      2
          N              4       3
        &END
        &BETA
          NEL           0       0
          L               0       2
          N              4       3
      &END
    &END
   &END
&KIND Mn4
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL       -2       0
          L            0       2
          N           4       3
        &END
        &BETA
          NEL        0        0
          L            0        2
          N           4        3
      &END 
    &END
   &END



Your help will be cordially appreciated 


Regards

Rizwan

S Ling

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Jun 30, 2015, 9:45:15 AM6/30/15
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Hi

Please try this one instead. This is only for the initial guess. There is no guarantee that the electronic configurations will converge to what you expect after the SCF calculation. Please double check the magnetic moments on each atom after the calculation. You may find more discussion on the usage of &BS in the following post by Marcella:


SL

&KIND Mn1
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL        -2       5
          L            0       2
          N           4       3
        &END
        &BETA
          NEL      -2       -5
          L           0       2
          N          4       3
      &END
    &END
   &END
 &KIND Mn2
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL       -2      3
          L           0      2
          N          4      3
        &END
        &BETA
          NEL      -2     -5
          L           0       2
          N          4       3
      &END
    &END
   &END
 &KIND Mn3
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
          &ALPHA
          NEL          -2     -5
          L               0      2
          N              4       3
        &END
        &BETA
          NEL          -2        3
          L               0       2
          N              4       3
      &END
    &END
   &END
&KIND Mn4
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL       -2       -5
          L            0       2
          N           4       3
        &END
        &BETA
          NEL        -2        5
          L            0        2
          N           4        3
      &END 
    &END
   &END

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Rizwan Nabi

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Jun 30, 2015, 1:22:18 PM6/30/15
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Hi S Ling 

Thank you for your response 
I tried the combination you gave me but I think it gives me contradictory results.
Here I am mentioning required portion of my output 
where 
                           Mn1 = MnII SPIN-UP
                           Mn2 = MnIII SPIN-UP
                           Mn3 = MnIII SPIN-DOWN
SPIN 1

 Guess for atomic kind: Mn1

 Electronic structure
    Total number of core electrons                                         10.00
    Total number of valence electrons                                      18.00
    Total number of electrons                                              28.00
    Multiplicity                                                   not specified
    S   [  2.00  2.00] 2.00
    P   [  6.00] 6.00
    D     10.00
SPIN 2

 Guess for atomic kind: Mn1

 Electronic structure
    Total number of core electrons                                         10.00
    Total number of valence electrons                                       8.00
    Total number of electrons                                              18.00
    Multiplicity                                                   not specified
    S   [  2.00  2.00] 2.00
    P   [  6.00] 6.00


SPIN 1

Guess for atomic kind: Mn2

 Electronic structure
    Total number of core electrons                                         10.00
    Total number of valence electrons                                      16.00
    Total number of electrons                                              26.00
    Multiplicity                                                   not specified
    S   [  2.00  2.00] 2.00
    P   [  6.00] 6.00
    D      8.00

SPIN 2

Guess for atomic kind: Mn2

 Electronic structure
    Total number of core electrons                                         10.00
    Total number of valence electrons                                       8.00
    Total number of electrons                                              18.00
    Multiplicity                                                   not specified
    S   [  2.00  2.00] 2.00
    P   [  6.00] 6.00


SPIN 1

 Guess for atomic kind: Mn3

 Electronic structure
    Total number of core electrons                                         10.00
    Total number of valence electrons                                       8.00
    Total number of electrons                                              18.00
    Multiplicity                                                   not specified
    S   [  2.00  2.00] 2.00
    P   [  6.00] 6.00


SPIN 2

Guess for atomic kind: Mn3

 Electronic structure
    Total number of core electrons                                         10.00
    Total number of valence electrons                                      16.00
    Total number of electrons                                              26.00
    Multiplicity                                                   not specified
    S   [  2.00  2.00] 2.00
    P   [  6.00] 6.00
    D      8.00



So would you please explain me whether the given configurations are right or wrong.


Regards

Rizwan

S Ling

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Jun 30, 2015, 2:30:14 PM6/30/15
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Hi

Please have a look at the link which I mentioned earlier. The total number of electrons in each spin channel will be rescaled by a factor of 2.

SL

Rizwan Nabi

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Jul 1, 2015, 12:03:14 PM7/1/15
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Hi S Ling
 Thank you for your response 

I think I have got an idea  now. Is it right to mention NEL values for V(II) like this then as per that post. Sorry  for asking same question over and again.

V(II) i.e V in +2 oxidation state will have NEL values as. Correct me if  am wrong. 

V1 (SPIN UP) AND V2 (SPIN DOWN)

&KIND V1
      ELEMENT      V
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q13
 &BS
        &ALPHA
          NEL        -2      7
          L             0       2
          N            4       3
        &END
        &BETA
          NEL       -2      -7
          L            0       2
          N           4       3
      &END
    &END
   &END
 &KIND V2
      ELEMENT      V
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q13
      &BS
        &ALPHA
          NEL         -2      -7
          L              0      2
          N             4      3
        &END
        &BETA
          NEL       -2       7
          L            0       2
          N           4       3
      &END




Regads

Rizwan

S Ling

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Jul 1, 2015, 12:29:53 PM7/1/15
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Hi

The electronic configuration of V2+ is [Ar]3d34s0. Therefore, instead of +7 and -7, you should set NEL of the 3d orbital to +3 and -3 for ALPHA and BETA spin channels, respectively. "+3" is performed on the electronic configuration of atomic V which is [Ar]3d34s2, and you end up with (3+3)/2=3 for the ALPHA spin channel. Similarly, for the BETA spin channel, you have (3-3)/2=0.

SL

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Rizwan Nabi

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Jul 1, 2015, 1:10:58 PM7/1/15
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Thank you sir for your reply.

Now things became even more clear to me.


Regards

Rizwan

Rizwan Nabi

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Jul 2, 2015, 11:24:29 AM7/2/15
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Hi  S Ling 

I tried with the same option of BS section but I am getting some error in my output file as it does not print electron density, charges and energy. I do not know where the problem lies. Here I am attaching my output file generated. Please check it once.



Regards

Rizwan
Mn19hs.out

S Ling

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Jul 2, 2015, 12:02:21 PM7/2/15
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Hi

It could relate to the settings on NEL in &BS section, but without your input, I cannot say anything. Please also try the following settings. It is a little bit different from the previous one. 

SL

   &KIND Mn1
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL        -2       3
          L            0       2
          N           4       3
        &END
        &BETA
          NEL      -2       -5
          L           0       2
          N          4       3
      &END
    &END
   &END
   &KIND Mn2
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL       -2      1
          L           0      2
          N          4      3
        &END
        &BETA
          NEL      -2     -5
          L           0       2
          N          4       3
      &END
    &END
   &END
   &KIND Mn3
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
          &ALPHA
          NEL          -2     -5
          L               0      2
          N              4       3
        &END
        &BETA
          NEL          -2        1
          L               0       2
          N              4       3
      &END
    &END
   &END
   &KIND Mn4
      ELEMENT      Mn
      BASIS_SET    DZVP-MOLOPT-SR-GTH
      POTENTIAL    GTH-BLYP-q15
      &BS
        &ALPHA
          NEL       -2       -5
          L            0       2
          N           4       3
        &END
        &BETA
          NEL        -2        3
          L            0        2
          N           4        3
      &END 
    &END
   &END

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Rizwan Nabi

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Jul 3, 2015, 8:34:34 AM7/3/15
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Hi S Ling

Thank you for your valuable inputs 

The new NEL values you gave me are working fine, but I just have one query about V(II) STATE  do I have to use same values of NEL you have given me for V(II) or is there any change required. And would you please give a general idea of how to fix these values for any metal such that I may use that idea for future work on other metals with different multiplicity. 
Here I am mentioning your comment.

The electronic configuration of V2+ is [Ar]3d34s0. Therefore, instead of +7 and -7, you should set NEL of the 3d orbital to +3 and -3 for ALPHA and BETA spin channels, respectively. "+3" is performed on the electronic configuration of atomic V which is [Ar]3d34s2, and you end up with (3+3)/2=3 for the ALPHA spin channel. Similarly, for the BETA spin channel, you have (3-3)/2=0.



Your help is cordially appreciated!

Regards 

Rizwan
  

S Ling

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Jul 3, 2015, 7:25:00 PM7/3/15
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Hi

For V(II), you can try the same values which I gave you. If it doesn't work, then please try to reduce +7/-7 to something like +5/-5. The general idea is to the break the symmetry by adding or substracting electrons from the ALPHA and BETA spin channels, and by adding/substracting differnet number of electrons from different atoms, hopefully you can get different oxidation states on different atoms after the SCF calculation. The total number of electrons should be corrected after the rescaling, but in certain cases, you might end up with more than 5 d electrons in the ALPHA or BETA spin channel even after the scaling, and therefore you see the problems you mentioned earlier. I am not very clear about how the rescaling was done. Maybe some other people on this mailing list can give you more information. I would suggest you to play with some small systems to get more feeling about it. Keep in mind that the &BS subsection just break the symmetry of your initial guess. You may or may not get the exact magnetic ordering or oxidation states which you expect after the SCF calculation, and therefore, you should always check the spin moments on different atoms after the SCF calculation.

SL

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Rizwan Nabi

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Jul 4, 2015, 2:18:47 AM7/4/15
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Hi 

Thank you again for your response 
 I will follow your suggestions.


Rizwan 


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