return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: PBE1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBE1PBE/3-21G
 hartrees
Energy at 0K-568.923201
Energy at 298.15K-568.935024
HF Energy-568.923201
Nuclear repulsion energy749.796040
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBE1PBE/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3261 3132 0.00      
2 Ag 3250 3122 0.00      
3 Ag 3238 3110 0.00      
4 Ag 3227 3099 0.00      
5 Ag 3216 3088 0.00      
6 Ag 1653 1588 0.00      
7 Ag 1637 1572 0.00      
8 Ag 1538 1477 0.00      
9 Ag 1520 1459 0.00      
10 Ag 1412 1356 0.00      
11 Ag 1371 1317 0.00      
12 Ag 1366 1312 0.00      
13 Ag 1235 1186 0.00      
14 Ag 1230 1181 0.00      
15 Ag 1167 1121 0.00      
16 Ag 1118 1074 0.00      
17 Ag 1061 1019 0.00      
18 Ag 1043 1002 0.00      
19 Ag 937 900 0.00      
20 Ag 705 677 0.00      
21 Ag 651 625 0.00      
22 Ag 308 296 0.00      
23 Ag 223 214 0.00      
24 Au 1074 1032 6.05      
25 Au 1047 1005 0.01      
26 Au 1006 966 16.37      
27 Au 896 861 0.00      
28 Au 838 805 58.57      
29 Au 739 710 141.05      
30 Au 577 554 21.03      
31 Au 434 417 0.00      
32 Au 316 303 0.69      
33 Au 67 64 1.70      
34 Au 39 38 0.08      
35 Bg 1072 1030 0.00      
36 Bg 1047 1006 0.00      
37 Bg 1000 960 0.00      
38 Bg 897 862 0.00      
39 Bg 818 785 0.00      
40 Bg 736 707 0.00      
41 Bg 514 494 0.00      
42 Bg 438 421 0.00      
43 Bg 282 271 0.00      
44 Bg 135 129 0.00      
45 Bu 3261 3132 9.45      
46 Bu 3250 3122 14.66      
47 Bu 3238 3110 26.44      
48 Bu 3227 3099 13.44      
49 Bu 3216 3088 1.33      
50 Bu 1653 1588 1.67      
51 Bu 1634 1570 7.34      
52 Bu 1543 1482 27.94      
53 Bu 1512 1452 19.70      
54 Bu 1378 1323 5.67      
55 Bu 1363 1309 5.57      
56 Bu 1263 1213 9.73      
57 Bu 1230 1181 0.22      
58 Bu 1206 1158 50.31      
59 Bu 1121 1077 17.78      
60 Bu 1059 1017 19.31      
61 Bu 1043 1002 0.43      
62 Bu 847 813 0.72      
63 Bu 656 630 0.44      
64 Bu 562 540 8.01      
65 Bu 533 512 24.17      
66 Bu 83 79 1.75      

Unscaled Zero Point Vibrational Energy (zpe) 42607.3 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 40920.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/3-21G
ABC
0.09138 0.00975 0.00881

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.018 0.642 0.000
N2 0.018 -0.642 0.000
C3 1.265 1.258 0.000
C4 -1.265 -1.258 0.000
C5 1.271 2.654 0.000
C6 -1.271 -2.654 0.000
C7 2.476 0.555 0.000
C8 -2.476 -0.555 0.000
C9 2.476 3.349 0.000
C10 -2.476 -3.349 0.000
C11 3.677 1.249 0.000
C12 -3.677 -1.249 0.000
C13 3.681 2.648 0.000
C14 -3.681 -2.648 0.000
H15 0.316 3.167 0.000
H16 -0.316 -3.167 0.000
H17 2.435 -0.527 0.000
H18 -2.435 0.527 0.000
H19 2.476 4.433 0.000
H20 -2.476 -4.433 0.000
H21 4.616 0.705 0.000
H22 -4.616 -0.705 0.000
H23 4.622 3.187 0.000
H24 -4.622 -3.187 0.000

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 H15 H16 H17 H18 H19 H20 H21 H22 H23 H24
N11.28391.42282.27212.38953.52602.49482.73373.68064.68703.74424.11864.20734.92302.54733.82032.71712.42034.53845.63924.63384.79125.29175.9878
N21.28392.27211.42283.52602.38952.73372.49484.68703.68064.11863.74424.92304.20733.82032.54732.42032.71715.63924.53844.79124.63385.98785.2917
C31.42282.27213.56731.39664.66161.39974.15652.41675.93402.41215.54102.78716.30142.13214.69862.13403.77163.39906.81053.39616.19953.87177.3759
C42.27211.42283.56734.66161.39664.15651.39975.93402.41675.54102.41216.30142.78714.69862.13213.77162.13406.81053.39906.19953.39617.37593.8717
C52.38953.52601.39664.66165.88532.42034.93291.39107.07632.78676.30162.41007.25421.08356.03363.38744.27312.14928.01703.87146.77753.39328.2967
C63.52602.38954.66161.39665.88534.93292.42037.07631.39106.30162.78677.25422.41006.03361.08354.27313.38748.01702.14926.77753.87148.29673.3932
C72.49482.73371.39974.15652.42034.93295.07412.79406.30531.38726.41142.41476.93943.38894.65271.08264.91093.87827.02892.14547.20243.39578.0233
C82.73372.49484.15651.39974.93292.42035.07416.30532.79406.41141.38726.93942.41474.65273.38894.91091.08267.02893.87827.20242.14548.02333.3957
C93.68064.68702.41675.93401.39107.07632.79406.30538.32952.41987.68071.39448.59412.16707.08903.87615.66411.08429.22433.40158.16852.15249.6482
C104.68703.68065.93402.41677.07631.39106.30532.79408.32957.68072.41988.59411.39447.08902.16705.66413.87619.22431.08428.16853.40159.64822.1524
C113.74424.11862.41215.54102.78676.30161.38726.41142.41987.68077.76631.39898.32553.86975.95342.16656.15473.40358.37541.08478.51972.15609.4096
C124.11863.74425.54102.41216.30162.78676.41141.38727.68072.41987.76638.32551.39895.95343.86976.15472.16658.37543.40358.51971.08479.40962.1560
C134.20734.92302.78716.30142.41007.25422.41476.93941.39448.59411.39898.32559.06793.40437.05573.40996.47322.15399.38332.15568.94821.084610.1473
C144.92304.20736.30142.78717.25422.41006.93942.41478.59411.39448.32551.39899.06797.05573.40436.47323.40999.38332.15398.94822.155610.14731.0846
H152.54733.82032.13214.69861.08356.03363.38894.65272.16707.08903.86975.95343.40437.05576.36544.25843.81332.50408.09714.95446.27044.30578.0468
H163.82032.54734.69862.13216.03361.08354.65273.38897.08902.16705.95343.86977.05573.40436.36543.81334.25848.09712.50406.27044.95448.04684.3057
H172.71712.42032.13403.77163.38744.27311.08264.91093.87615.66412.16656.15473.40996.47324.25843.81334.98324.96026.27582.50447.05324.30937.5417
H182.42032.71713.77162.13404.27313.38744.91091.08265.66413.87616.15472.16656.47323.40993.81334.25844.98326.27584.96027.05322.50447.54174.3093
H194.53845.63923.39906.81052.14928.01703.87827.02891.08429.22433.40358.37542.15399.38332.50408.09714.96026.275810.15614.29838.75802.481510.4138
H205.63924.53846.81053.39908.01702.14927.02893.87829.22431.08428.37543.40359.38332.15398.09712.50406.27584.960210.15618.75804.298310.41382.4815
H214.63384.79123.39616.19953.87146.77752.14547.20243.40158.16851.08478.51972.15568.94824.95446.27042.50447.05324.29838.75809.33852.481310.0239
H224.79124.63386.19953.39616.77753.87147.20242.14548.16853.40158.51971.08478.94822.15566.27044.95447.05322.50448.75804.29839.338510.02392.4813
H235.29175.98783.87177.37593.39328.29673.39578.02332.15249.64822.15609.40961.084610.14734.30578.04684.30937.54172.481510.41382.481310.023911.2278
H245.98785.29177.37593.87178.29673.39328.02333.39579.64822.15249.40962.156010.14731.08468.04684.30577.54174.309310.41382.481510.02392.481311.2278

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 114.069 N1 C3 C5 115.889
N1 C3 C7 124.225 N2 N1 C3 114.069
N2 C4 C6 115.889 N2 C4 C8 124.225
C3 C5 C9 120.214 C3 C5 H15 118.011
C3 C7 C11 119.880 C3 C7 H17 117.992
C4 C6 C10 120.214 C4 C6 H16 118.011
C4 C8 C12 119.880 C4 C8 H18 117.992
C5 C3 C7 119.886 C5 C9 C13 119.817
C5 C9 H19 120.017 C6 C4 C8 119.886
C6 C10 C14 119.817 C6 C10 H20 120.017
C7 C11 C13 120.149 C7 C11 H21 119.941
C8 C12 C14 120.149 C8 C12 H22 119.941
C9 C5 H15 121.776 C9 C13 C11 120.055
C9 C13 H23 119.994 C10 C6 H16 121.776
C10 C14 C12 120.055 C10 C14 H24 119.994
C11 C7 H17 122.128 C11 C13 H23 119.950
C12 C8 H18 122.128 C12 C14 H24 119.950
C13 C9 H19 120.166 C13 C11 H21 119.911
C14 C10 H20 120.166 C14 C12 H22 119.911
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.352      
2 N -0.352      
3 C 0.214      
4 C 0.214      
5 C -0.185      
6 C -0.185      
7 C -0.184      
8 C -0.184      
9 C -0.230      
10 C -0.230      
11 C -0.231      
12 C -0.231      
13 C -0.212      
14 C -0.212      
15 H 0.240      
16 H 0.240      
17 H 0.251      
18 H 0.251      
19 H 0.230      
20 H 0.230      
21 H 0.230      
22 H 0.230      
23 H 0.229      
24 H 0.229      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -64.445 5.453 0.000
y 5.453 -66.822 0.000
z 0.000 0.000 -88.249
Traceless
 xyz
x 13.091 5.453 0.000
y 5.453 9.525 0.000
z 0.000 0.000 -22.616
Polar
3z2-r2-45.232
x2-y22.377
xy5.453
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 31.778 10.481 0.000
y 10.481 28.194 0.000
z 0.000 0.000 4.925


<r2> (average value of r2) Å2
<r2> 1097.448
(<r2>)1/2 33.128