<div dir="ltr">Dear Xiaoming,<div><br></div><div>thank you for the data. I don't see any inconsistency now. You get 52 with Cartesian off and 54 with Cartesian on. Turning Cartesian off you can now multiply your C with your S. Isn't that what you want? Unfortunately, I can't comment on why orbital #5 is not printed. Perhaps, that is due to the fact that it is vacant.</div><div><br></div><div>Yours,</div><div><br></div><div>Vladimir<br><br>пятница, 12 октября 2018 г., 13:47:35 UTC+2 пользователь Xiaoming Wang написал:<blockquote class="gmail_quote" style="margin: 0;margin-left: 0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><div dir="ltr">Hi Vladimir,<div><br></div><div>Thanks for you reply.</div><div><br></div><div>My input of the print part is:</div><div><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>------------</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    &MO</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      EIGENVALUES</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      EIGENVECTORS</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      CARTESIAN</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      FILENAME mos</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      MO_INDEX_RANGE 4 5</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      OCCUPATION_NUMBERS</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      &EACH</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>       QS_SCF 0</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>      &END EACH</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     &END MO</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>--------------</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span><br></span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>With CARTESIAN on, I get</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span><br></span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>----------------</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span> MO EIGENVALUES, MO OCCUPATION NUMBERS, AND CARTESIAN MO EIGENVECTORS</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>                              4            5</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>                          -0.260963    -0.034173</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>                           2.000000     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     1     1  O  2s        0.000000     0.236782</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     2     1  O  3s        0.000000    -0.090781</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     3     1  O  4s        0.000000    -0.240258</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     4     1  O  3px      -0.917807    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     5     1  O  3py      -0.000000    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     6     1  O  3pz       0.000000    -0.238095</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     7     1  O  4px       0.020934    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     8     1  O  4py       0.000000    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     9     1  O  4pz      -0.000000     0.013849</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    10     1  O  5px      -0.003042     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    11     1  O  5py       0.000000     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    12     1  O  5pz      -0.000000     0.099980</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    13     1  O  3dx2     -0.000000     0.000099</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    14     1  O  3dxy     -0.000000    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    15     1  O  3dxz     -0.005256    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    16     1  O  3dy2     -0.000000     0.000744</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    17     1  O  3dyz      0.000000    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    18     1  O  3dz2      0.000000    -0.000844</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    19     1  O  4dx2     -0.000000     0.000357</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    20     1  O  4dxy      0.000000    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    21     1  O  4dxz     -0.022359     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    22     1  O  4dy2      0.000000     0.004105</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    23     1  O  4dyz     -0.000000     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    24     1  O  4dz2      0.000000    -0.004463</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    25     1  O  5s       -0.000000    -0.011663</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    26     1  O  5px       0.024750    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    27     1  O  5py      -0.000000     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    28     1  O  5pz       0.000000    -0.077018</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    29     2  H  1s        0.000000    -0.116793</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    30     2  H  2s        0.000000    -0.003374</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    31     2  H  3s       -0.000000     0.197029</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    32     2  H  2px       0.011575    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    33     2  H  2py       0.000000     0.008716</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    34     2  H  2pz      -0.000000    -0.004748</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    35     2  H  3px       0.028901    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    36     2  H  3py       0.000000     0.013894</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    37     2  H  3pz      -0.000000    -0.010138</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    38     2  H  4s       -0.000000     0.421270</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    39     2  H  4px       0.026994     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    40     2  H  4py       0.000000     0.041403</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    41     2  H  4pz      -0.000000    -0.044975</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    42     3  H  1s        0.000000    -0.116793</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    43     3  H  2s       -0.000000    -0.003374</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    44     3  H  3s        0.000000     0.197029</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    45     3  H  2px       0.011575    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    46     3  H  2py       0.000000    -0.008716</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    47     3  H  2pz      -0.000000    -0.004748</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    48     3  H  3px       0.028901    -0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    49     3  H  3py      -0.000000    -0.013894</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    50     3  H  3pz      -0.000000    -0.010138</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    51     3  H  4s        0.000000     0.421270</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    52     3  H  4px       0.026994     0.000000</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    53     3  H  4py       0.000000    -0.041403</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    54     3  H  4pz       0.000000    -0.044975</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>  Fermi energy:                -0.260963</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>


































































</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>  HOMO-LUMO gap:                0.226790 =   6.17 eV</span></p><div><span>------------------------------<wbr>---------</span></div><div><span><br></span></div><div><span>However, with CARTESIAN OFF, I get only the orbital #4:</span></div><div><span><br></span></div><div><span>------------------------------<wbr>----------</span></div><div><span><p style="font-size:11px;line-height:normal;font-family:Menlo"><span> MO EIGENVALUES, MO OCCUPATION NUMBERS, AND SPHERICAL MO EIGENVECTORS</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>                              4</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>                          -0.260963</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>                           2.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     1     1  O  2s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     2     1  O  3s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     3     1  O  4s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     4     1  O  3py      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     5     1  O  3pz       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     6     1  O  3px      -0.917807</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     7     1  O  4py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     8     1  O  4pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>     9     1  O  4px       0.020934</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    10     1  O  5py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    11     1  O  5pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    12     1  O  5px      -0.003042</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    13     1  O  3d-2     -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    14     1  O  3d-1      0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    15     1  O  3d0       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    16     1  O  3d+1     -0.005256</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    17     1  O  3d+2     -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    18     1  O  4d-2      0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    19     1  O  4d-1     -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    20     1  O  4d0       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    21     1  O  4d+1     -0.022359</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    22     1  O  4d+2     -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    23     1  O  5s       -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    24     1  O  5py      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    25     1  O  5pz       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    26     1  O  5px       0.024750</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    27     2  H  1s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    28     2  H  2s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    29     2  H  3s       -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    30     2  H  2py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    31     2  H  2pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    32     2  H  2px       0.011575</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    33     2  H  3py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    34     2  H  3pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    35     2  H  3px       0.028901</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    36     2  H  4s       -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    37     2  H  4py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    38     2  H  4pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    39     2  H  4px       0.026994</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    40     3  H  1s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    41     3  H  2s       -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    42     3  H  3s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    43     3  H  2py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    44     3  H  2pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    45     3  H  2px       0.011575</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    46     3  H  3py      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    47     3  H  3pz      -0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    48     3  H  3px       0.028901</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    49     3  H  4s        0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    50     3  H  4py       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    51     3  H  4pz       0.000000</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>    52     3  H  4px       0.026994</span></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo;min-height:13px"><span></span><br></p>
<p style="font-size:11px;line-height:normal;font-family:Menlo"><span>  Fermi energy:                -0.260963</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>-----------------------------</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span><br></span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>Why the MO #5 is not printed in spherical coordinate?</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span><br></span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>Best,</span></p><p style="font-size:11px;line-height:normal;font-family:Menlo"><span>Xiaoming</span></p></span></div><br>On Friday, October 12, 2018 at 5:51:08 AM UTC-4, Vladimir Rybkin wrote:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Hi Xiaoming,<div><br></div><div>it is. I mean that by default it is not printed, only the basis is. So, please attach your input/output: this will help to stay on equal footing.</div><div><br></div><div>Yours,</div><div><br></div><div>Vladimir<br><br>четверг, 11 октября 2018 г., 16:26:57 UTC+2 пользователь Xiaoming Wang написал:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Hi Vladimir,<div><br></div><div>Are you saying the option of printing MOs with eigenvector on is not printing the MO coefficients?</div><div><br></div><div>Best,</div><div>Xiaoming<br><br>On Thursday, October 11, 2018 at 9:36:49 AM UTC-4, Vladimir Rybkin wrote:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Dear Xiaoming,<div><br></div><div>by default CP2K does not print MO coefficients. It prints the basis, which is Cartesian (e.i. 6 d orbitals instead of 5). So, input/output would be helpful.</div><div><br></div><div>Yours,</div><div><br></div><div>Vladimir<br><br>четверг, 11 октября 2018 г., 15:24:16 UTC+2 пользователь Xiaoming Wang написал:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Hi,<div><br></div><div>I just missed one thing. The MOs could also be printed with spherical coordinates. Then, it should be consistent.</div><div><br></div><div>Best,</div><div>Xiaoming<br><br>On Thursday, October 11, 2018 at 9:21:56 AM UTC-4, Xiaoming Wang wrote:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Hi Vladimir,<div><br></div><div>Thanks for your reply. I'm wondering why the eigenvectors and overlap are not using the same basis (or with same basis but different coordinates).</div><div><br></div><div>Best,</div><div>Xiaoming<br><br>On Thursday, October 11, 2018 at 4:28:32 AM UTC-4, Vladimir Rybkin wrote:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Dear Xiaoming,<div><br></div><div>the 6 d orbitals correspond to the six components in the Cartesian coordinates, whereas 5 d orbitals are the same expressed is spherical coordinates. The coordinate transformation is involved in between. </div><div><br></div><div>Yours,</div><div><br></div><div>Vladimir<br><br>среда, 10 октября 2018 г., 16:16:56 UTC+2 пользователь Xiaoming Wang написал:<blockquote class="gmail_quote" style="margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Hello,<div><br></div><div>I'd like to check the equation C^T S C = 1, where C is MO coefficient and S the overlap matrix. </div><div>However, for my test calculation, C is 54*1 while S is 52*52. I checked the basis details, for the</div><div>MO coefficient, there are 6 d orbitals (dx2,dxy,dxz,dy2,dyz,dz2), while for the overlap matrix,</div><div>only 5 d orbitals (d-2,d-1,d0,d+1,d+2) are printed. Why is like that? Am I missing something?</div><div><br></div><div>Best,</div><div>Xiaoming </div></div></blockquote></div></div></blockquote></div></div></blockquote></div></div></blockquote></div></div></blockquote></div></div></blockquote></div></div></blockquote></div></div></blockquote></div></div>