zero point energy
Posted: Wed Oct 24, 2007 4:31 pm
Hi everyone,
I am trying to find out Zero point energy.
I calculated vibrational frequencies.
The output looks like:
1 f = 8.061567 THz 50.652321 2PiTHz 268.904932 cm-1 33.339974 meV
/ Y Z dx dy dz
8.977990 6.624706 10.936994 0.006719 0.039428 -0.010154
7.987944 9.674310 9.806018 0.413037 -0.343292 0.197267
9.392611 10.883302 6.807745 -0.085214 -0.018862 0.038322
9.508228 8.622771 5.958509 -0.029949 0.024147 0.006505
8.899424 8.839951 11.853902 -0.042197 0.038273 -0.090672
6.120948 11.197274 9.536179 -0.366692 0.283409 0.284564
7.133821 10.473994 7.537471 0.239226 -0.169573 -0.496675
11.121763 9.271581 11.061170 -0.036620 -0.013825 -0.012190
10.227230 10.075736 8.974636 -0.059553 -0.004650 -0.004309
8.100989 7.451218 8.851565 -0.007203 0.058854 -0.000876
7.236704 8.224175 6.683469 -0.001378 0.084491 0.042668
11.212837 7.045694 10.155996 -0.010302 0.007806 0.001784
10.325511 7.861288 8.082347 -0.020102 0.014122 0.043694
2 f = 7.079362 THz 44.480941 2PiTHz 236.142080 cm-1 29.277897 meV
X Y Z dx dy dz
:
:
:
36 f = 0.013755 THz 0.086428 2PiTHz 0.458831 cm-1 0.056888 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.102093 0.019245 0.257813
7.987944 9.674310 9.806018 0.132338 0.029261 0.255157
9.392611 10.883302 6.807745 0.118728 -0.000978 0.240235
9.508228 8.622771 5.958509 0.078889 -0.005243 0.247438
8.899424 8.839951 11.853902 0.139986 0.023439 0.249408
6.120948 11.197274 9.536179 0.154355 0.057985 0.268958
7.133821 10.473994 7.537471 0.119275 0.034302 0.260041
11.121763 9.271581 11.061170 0.139385 -0.010396 0.228982
10.227230 10.075736 8.974636 0.130896 -0.005854 0.233723
8.100989 7.451218 8.851565 0.093099 0.023918 0.263760
7.236704 8.224175 6.683469 0.080405 0.029705 0.270179
11.212837 7.045694 10.155996 0.100642 -0.014724 0.235704
10.325511 7.861288 8.082347 0.091520 -0.010373 0.240363
37 f/i= 0.093217 THz 0.585702 2PiTHz 3.109395 cm-1 0.385516 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.239070 0.236352 0.052702
7.987944 9.674310 9.806018 0.199454 0.185082 -0.057749
9.392611 10.883302 6.807745 0.002953 -0.014170 -0.230647
9.508228 8.622771 5.958509 -0.092383 -0.066102 -0.103163
8.899424 8.839951 11.853902 0.331460 0.292073 -0.073353
6.120948 11.197274 9.536179 0.224907 0.223340 -0.011287
7.133821 10.473994 7.537471 0.049036 0.063376 -0.042926
11.121763 9.271581 11.061170 0.280827 0.218279 -0.256222
10.227230 10.075736 8.974636 0.144356 0.105320 -0.241512
8.100989 7.451218 8.851565 0.099915 0.125942 0.067740
7.236704 8.224175 6.683469 -0.046332 0.010972 0.084225
11.212837 7.045694 10.155996 0.189272 0.163435 -0.131329
10.325511 7.861288 8.082347 0.050095 0.050198 -0.115962
38 f/i= 0.154760 THz 0.972383 2PiTHz 5.162226 cm-1 0.640035 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.126384 -0.262807 -0.227082
7.987944 9.674310 9.806018 0.139611 -0.145411 0.066515
9.392611 10.883302 6.807745 0.006437 0.053658 0.085192
9.508228 8.622771 5.958509 -0.097969 0.116278 -0.098196
8.899424 8.839951 11.853902 0.232699 -0.333090 -0.049253
6.120948 11.197274 9.536179 0.172332 -0.064649 0.286356
7.133821 10.473994 7.537471 0.035081 0.054700 0.174680
11.121763 9.271581 11.061170 0.199668 -0.327237 -0.136729
10.227230 10.075736 8.974636 0.103914 -0.137326 -0.023564
8.100989 7.451218 8.851565 0.030719 -0.074162 -0.112721
7.236704 8.224175 6.683469 -0.068142 0.117870 -0.003848
11.212837 7.045694 10.155996 0.093973 -0.259108 -0.319251
10.325511 7.861288 8.082347 -0.001108 -0.069287 -0.202501
39 f/i= 0.244434 THz 1.535822 2PiTHz 8.153429 cm-1 1.010897 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 -0.357612 0.051833 0.052647
7.987944 9.674310 9.806018 0.040454 0.150719 -0.026591
9.392611 10.883302 6.807745 0.198217 -0.104919 -0.051938
9.508228 8.622771 5.958509 -0.083284 -0.138854 0.004243
8.899424 8.839951 11.853902 -0.072993 0.084775 -0.003256
6.120948 11.197274 9.536179 0.266850 0.419165 -0.067420
7.133821 10.473994 7.537471 0.144028 0.197717 -0.049322
11.121763 9.271581 11.061170 -0.015325 -0.222980 -0.008401
10.227230 10.075736 8.974636 0.092003 -0.157478 -0.030183
8.100989 7.451218 8.851565 -0.243674 0.111497 0.029157
7.236704 8.224175 6.683469 -0.136336 0.163984 0.006120
11.212837 7.045694 10.155996 -0.301781 -0.259147 0.048161
10.325511 7.861288 8.082347 -0.188592 -0.192250 0.025822
Questions:
1. how to distintiguish rotational and translational from vibrational ones?
Are they the ones with smallest frequencies?
2. In OUTCAR , there are two sets of frequencies:
One set is below:
Eigenvectors and eigenvalues of the dynamical matrix
----------------------------------------------------
the 2nd set is below:
Eigenvectors after division by SQRT(mass)
Eigenvectors and eigenvalues of the dynamical matrix
What is the difference and which one shall we use?
3.
What is the difference between
f= ....
and
f/i = ....
shown as below:
36 f = 0.013755 THz 0.086428 2PiTHz 0.458831 cm-1 0.056888 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.102093 0.019245 0.257813
7.987944 9.674310 9.806018 0.132338 0.029261 0.255157
9.392611 10.883302 6.807745 0.118728 -0.000978 0.240235
9.508228 8.622771 5.958509 0.078889 -0.005243 0.247438
8.899424 8.839951 11.853902 0.139986 0.023439 0.249408
6.120948 11.197274 9.536179 0.154355 0.057985 0.268958
7.133821 10.473994 7.537471 0.119275 0.034302 0.260041
11.121763 9.271581 11.061170 0.139385 -0.010396 0.228982
10.227230 10.075736 8.974636 0.130896 -0.005854 0.233723
8.100989 7.451218 8.851565 0.093099 0.023918 0.263760
7.236704 8.224175 6.683469 0.080405 0.029705 0.270179
11.212837 7.045694 10.155996 0.100642 -0.014724 0.235704
10.325511 7.861288 8.082347 0.091520 -0.010373 0.240363
37 f/i= 0.093217 THz 0.585702 2PiTHz 3.109395 cm-1 0.385516 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.239070 0.236352 0.052702
7.987944 9.674310 9.806018 0.199454 0.185082 -0.057749
Thanks,
I am trying to find out Zero point energy.
I calculated vibrational frequencies.
The output looks like:
1 f = 8.061567 THz 50.652321 2PiTHz 268.904932 cm-1 33.339974 meV
/ Y Z dx dy dz
8.977990 6.624706 10.936994 0.006719 0.039428 -0.010154
7.987944 9.674310 9.806018 0.413037 -0.343292 0.197267
9.392611 10.883302 6.807745 -0.085214 -0.018862 0.038322
9.508228 8.622771 5.958509 -0.029949 0.024147 0.006505
8.899424 8.839951 11.853902 -0.042197 0.038273 -0.090672
6.120948 11.197274 9.536179 -0.366692 0.283409 0.284564
7.133821 10.473994 7.537471 0.239226 -0.169573 -0.496675
11.121763 9.271581 11.061170 -0.036620 -0.013825 -0.012190
10.227230 10.075736 8.974636 -0.059553 -0.004650 -0.004309
8.100989 7.451218 8.851565 -0.007203 0.058854 -0.000876
7.236704 8.224175 6.683469 -0.001378 0.084491 0.042668
11.212837 7.045694 10.155996 -0.010302 0.007806 0.001784
10.325511 7.861288 8.082347 -0.020102 0.014122 0.043694
2 f = 7.079362 THz 44.480941 2PiTHz 236.142080 cm-1 29.277897 meV
X Y Z dx dy dz
:
:
:
36 f = 0.013755 THz 0.086428 2PiTHz 0.458831 cm-1 0.056888 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.102093 0.019245 0.257813
7.987944 9.674310 9.806018 0.132338 0.029261 0.255157
9.392611 10.883302 6.807745 0.118728 -0.000978 0.240235
9.508228 8.622771 5.958509 0.078889 -0.005243 0.247438
8.899424 8.839951 11.853902 0.139986 0.023439 0.249408
6.120948 11.197274 9.536179 0.154355 0.057985 0.268958
7.133821 10.473994 7.537471 0.119275 0.034302 0.260041
11.121763 9.271581 11.061170 0.139385 -0.010396 0.228982
10.227230 10.075736 8.974636 0.130896 -0.005854 0.233723
8.100989 7.451218 8.851565 0.093099 0.023918 0.263760
7.236704 8.224175 6.683469 0.080405 0.029705 0.270179
11.212837 7.045694 10.155996 0.100642 -0.014724 0.235704
10.325511 7.861288 8.082347 0.091520 -0.010373 0.240363
37 f/i= 0.093217 THz 0.585702 2PiTHz 3.109395 cm-1 0.385516 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.239070 0.236352 0.052702
7.987944 9.674310 9.806018 0.199454 0.185082 -0.057749
9.392611 10.883302 6.807745 0.002953 -0.014170 -0.230647
9.508228 8.622771 5.958509 -0.092383 -0.066102 -0.103163
8.899424 8.839951 11.853902 0.331460 0.292073 -0.073353
6.120948 11.197274 9.536179 0.224907 0.223340 -0.011287
7.133821 10.473994 7.537471 0.049036 0.063376 -0.042926
11.121763 9.271581 11.061170 0.280827 0.218279 -0.256222
10.227230 10.075736 8.974636 0.144356 0.105320 -0.241512
8.100989 7.451218 8.851565 0.099915 0.125942 0.067740
7.236704 8.224175 6.683469 -0.046332 0.010972 0.084225
11.212837 7.045694 10.155996 0.189272 0.163435 -0.131329
10.325511 7.861288 8.082347 0.050095 0.050198 -0.115962
38 f/i= 0.154760 THz 0.972383 2PiTHz 5.162226 cm-1 0.640035 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.126384 -0.262807 -0.227082
7.987944 9.674310 9.806018 0.139611 -0.145411 0.066515
9.392611 10.883302 6.807745 0.006437 0.053658 0.085192
9.508228 8.622771 5.958509 -0.097969 0.116278 -0.098196
8.899424 8.839951 11.853902 0.232699 -0.333090 -0.049253
6.120948 11.197274 9.536179 0.172332 -0.064649 0.286356
7.133821 10.473994 7.537471 0.035081 0.054700 0.174680
11.121763 9.271581 11.061170 0.199668 -0.327237 -0.136729
10.227230 10.075736 8.974636 0.103914 -0.137326 -0.023564
8.100989 7.451218 8.851565 0.030719 -0.074162 -0.112721
7.236704 8.224175 6.683469 -0.068142 0.117870 -0.003848
11.212837 7.045694 10.155996 0.093973 -0.259108 -0.319251
10.325511 7.861288 8.082347 -0.001108 -0.069287 -0.202501
39 f/i= 0.244434 THz 1.535822 2PiTHz 8.153429 cm-1 1.010897 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 -0.357612 0.051833 0.052647
7.987944 9.674310 9.806018 0.040454 0.150719 -0.026591
9.392611 10.883302 6.807745 0.198217 -0.104919 -0.051938
9.508228 8.622771 5.958509 -0.083284 -0.138854 0.004243
8.899424 8.839951 11.853902 -0.072993 0.084775 -0.003256
6.120948 11.197274 9.536179 0.266850 0.419165 -0.067420
7.133821 10.473994 7.537471 0.144028 0.197717 -0.049322
11.121763 9.271581 11.061170 -0.015325 -0.222980 -0.008401
10.227230 10.075736 8.974636 0.092003 -0.157478 -0.030183
8.100989 7.451218 8.851565 -0.243674 0.111497 0.029157
7.236704 8.224175 6.683469 -0.136336 0.163984 0.006120
11.212837 7.045694 10.155996 -0.301781 -0.259147 0.048161
10.325511 7.861288 8.082347 -0.188592 -0.192250 0.025822
Questions:
1. how to distintiguish rotational and translational from vibrational ones?
Are they the ones with smallest frequencies?
2. In OUTCAR , there are two sets of frequencies:
One set is below:
Eigenvectors and eigenvalues of the dynamical matrix
----------------------------------------------------
the 2nd set is below:
Eigenvectors after division by SQRT(mass)
Eigenvectors and eigenvalues of the dynamical matrix
What is the difference and which one shall we use?
3.
What is the difference between
f= ....
and
f/i = ....
shown as below:
36 f = 0.013755 THz 0.086428 2PiTHz 0.458831 cm-1 0.056888 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.102093 0.019245 0.257813
7.987944 9.674310 9.806018 0.132338 0.029261 0.255157
9.392611 10.883302 6.807745 0.118728 -0.000978 0.240235
9.508228 8.622771 5.958509 0.078889 -0.005243 0.247438
8.899424 8.839951 11.853902 0.139986 0.023439 0.249408
6.120948 11.197274 9.536179 0.154355 0.057985 0.268958
7.133821 10.473994 7.537471 0.119275 0.034302 0.260041
11.121763 9.271581 11.061170 0.139385 -0.010396 0.228982
10.227230 10.075736 8.974636 0.130896 -0.005854 0.233723
8.100989 7.451218 8.851565 0.093099 0.023918 0.263760
7.236704 8.224175 6.683469 0.080405 0.029705 0.270179
11.212837 7.045694 10.155996 0.100642 -0.014724 0.235704
10.325511 7.861288 8.082347 0.091520 -0.010373 0.240363
37 f/i= 0.093217 THz 0.585702 2PiTHz 3.109395 cm-1 0.385516 meV
X Y Z dx dy dz
8.977990 6.624706 10.936994 0.239070 0.236352 0.052702
7.987944 9.674310 9.806018 0.199454 0.185082 -0.057749
Thanks,