<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>