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All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-572.078759
Energy at 298.15K-572.089792
HF Energy-572.078759
Nuclear repulsion energy747.661610
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 PBEPBE/6-31G(2df,p)
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 3146 3113 0.00      
2 Ag 3137 3105 0.00      
3 Ag 3127 3095 0.00      
4 Ag 3117 3085 0.00      
5 Ag 3107 3075 0.00      
6 Ag 1596 1580 0.00      
7 Ag 1579 1563 0.00      
8 Ag 1479 1463 0.00      
9 Ag 1451 1436 0.00      
10 Ag 1419 1404 0.00      
11 Ag 1364 1350 0.00      
12 Ag 1284 1271 0.00      
13 Ag 1177 1164 0.00      
14 Ag 1144 1133 0.00      
15 Ag 1126 1114 0.00      
16 Ag 1063 1052 0.00      
17 Ag 1015 1005 0.00      
18 Ag 984 974 0.00      
19 Ag 911 902 0.00      
20 Ag 658 651 0.00      
21 Ag 599 593 0.00      
22 Ag 298 295 0.00      
23 Ag 217 215 0.00      
24 Au 968 958 1.82      
25 Au 939 929 0.02      
26 Au 920 910 6.28      
27 Au 838 829 0.01      
28 Au 784 776 41.67      
29 Au 686 679 55.14      
30 Au 541 536 7.34      
31 Au 400 396 0.00      
32 Au 294 291 0.65      
33 Au 62 62 1.21      
34 Au 23 23 0.05      
35 Bg 967 957 0.00      
36 Bg 939 929 0.00      
37 Bg 914 905 0.00      
38 Bg 838 830 0.00      
39 Bg 764 756 0.00      
40 Bg 682 675 0.00      
41 Bg 475 470 0.00      
42 Bg 404 399 0.00      
43 Bg 242 239 0.00      
44 Bg 99 98 0.00      
45 Bu 3146 3113 13.87      
46 Bu 3137 3105 39.91      
47 Bu 3127 3095 29.75      
48 Bu 3117 3085 15.24      
49 Bu 3107 3075 4.83      
50 Bu 1593 1576 6.01      
51 Bu 1575 1559 4.21      
52 Bu 1466 1450 9.07      
53 Bu 1437 1422 13.66      
54 Bu 1361 1347 5.67      
55 Bu 1278 1265 1.65      
56 Bu 1229 1217 25.04      
57 Bu 1144 1133 0.29      
58 Bu 1134 1123 33.68      
59 Bu 1067 1056 14.63      
60 Bu 1015 1004 10.52      
61 Bu 983 973 3.72      
62 Bu 817 808 0.65      
63 Bu 606 600 0.81      
64 Bu 526 520 5.56      
65 Bu 513 508 23.55      
66 Bu 82 81 1.73      

Unscaled Zero Point Vibrational Energy (zpe) 40617.1 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 40198.8 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 PBEPBE/6-31G(2df,p)
ABC
0.09047 0.00972 0.00878

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.008 0.636 0.000
N2 0.008 -0.636 0.000
C3 1.276 1.235 0.000
C4 -1.276 -1.235 0.000
C5 1.284 2.641 0.000
C6 -1.284 -2.641 0.000
C7 2.495 0.526 0.000
C8 -2.495 -0.526 0.000
C9 2.495 3.338 0.000
C10 -2.495 -3.338 0.000
C11 3.699 1.227 0.000
C12 -3.699 -1.227 0.000
C13 3.704 2.632 0.000
C14 -3.704 -2.632 0.000
H15 0.321 3.158 0.000
H16 -0.321 -3.158 0.000
H17 2.460 -0.565 0.000
H18 -2.460 0.565 0.000
H19 2.497 4.431 0.000
H20 -2.497 -4.431 0.000
H21 4.646 0.680 0.000
H22 -4.646 -0.680 0.000
H23 4.654 3.173 0.000
H24 -4.654 -3.173 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
N11.27171.41692.25962.38613.51682.50582.74473.68344.68753.75384.13354.21484.93292.54403.80702.74482.45234.54775.64504.65484.82105.30796.0073
N21.27172.25961.41693.51682.38612.74472.50584.68753.68344.13353.75384.93294.21483.80702.54402.45232.74485.64504.54774.82104.65486.00735.3079
C31.41692.25963.55111.40634.64551.41064.16162.43075.92692.42315.55002.80136.30452.14704.67462.15473.79493.42136.80723.41606.22393.89467.3885
C42.25961.41693.55114.64551.40634.16161.41065.92692.43075.55002.42316.30452.80134.67462.14703.79492.15476.80723.42136.22393.41607.38853.8946
C52.38613.51681.40634.64555.87422.43724.93121.39677.07352.79836.30802.41957.25861.09306.01793.41514.28122.16198.01983.89206.79753.41118.3108
C63.51682.38614.64551.40635.87424.93122.43727.07351.39676.30802.79837.25862.41956.01791.09304.28123.41518.01982.16196.79753.89208.31083.4111
C72.50582.74471.41064.16162.43724.93125.09982.81166.31111.39266.43682.42796.95693.41374.63761.09184.95493.90477.03532.15677.24253.41578.0492
C82.74472.50584.16161.41064.93122.43725.09986.31112.81166.43681.39266.95692.42794.63763.41374.95491.09187.03533.90477.24252.15678.04923.4157
C93.68344.68752.43075.92691.39677.07352.81166.31118.33452.43027.69381.39998.60592.18117.08033.90305.67781.09309.23453.41898.19412.16509.6694
C104.68753.68345.92692.43077.07351.39676.31112.81168.33457.69382.43028.60591.39997.08032.18115.67783.90309.23451.09308.19413.41899.66942.1650
C113.75384.13352.42315.55002.79836.30801.39266.43682.43027.69387.79341.40528.34763.89085.94872.17826.19373.42208.39031.09378.56002.16839.4403
C124.13353.75385.55002.42316.30802.79836.43681.39267.69382.43027.79348.34761.40525.94873.89086.19372.17828.39033.42208.56001.09379.44032.1683
C134.21484.93292.80136.30452.41957.25862.42796.95691.39998.60591.40528.34769.08723.42337.05173.43046.50082.16619.39872.16698.98301.093410.1758
C144.93294.21486.30452.80137.25862.41956.95692.42798.60591.39998.34761.40529.08727.05173.42336.50083.43049.39872.16618.98302.166910.17581.0934
H152.54403.80702.14704.67461.09306.01793.41374.63762.18117.08033.89085.94873.42337.05176.34924.29383.80252.52098.09574.98446.27794.33258.0523
H163.80702.54404.67462.14706.01791.09304.63763.41377.08032.18115.94873.89087.05173.42336.34923.80254.29388.09572.52096.27794.98448.05234.3325
H172.74482.45232.15473.79493.41514.28121.09184.95493.90305.67782.17826.19373.43046.50084.29383.80255.04764.99606.28632.51647.10694.33457.5765
H182.45232.74483.79492.15474.28123.41514.95491.09185.67783.90306.19372.17826.50083.43043.80254.29385.04766.28634.99607.10692.51647.57654.3345
H194.54775.64503.42136.80722.16198.01983.90477.03531.09309.23453.42208.39032.16619.39872.52098.09574.99606.286310.17244.32238.78392.496310.4384
H205.64504.54776.80723.42138.01982.16197.03533.90479.23451.09308.39033.42209.39872.16618.09572.52096.28634.996010.17248.78394.322310.43842.4963
H214.65484.82103.41606.22393.89206.79752.15677.24253.41898.19411.09378.56002.16698.98304.98446.27792.51647.10694.32238.78399.39162.492710.0668
H224.82104.65486.22393.41606.79753.89207.24252.15678.19413.41898.56001.09378.98302.16696.27794.98447.10692.51648.78394.32239.391610.06682.4927
H235.30796.00733.89467.38853.41118.31083.41578.04922.16509.66942.16839.44031.093410.17584.33258.05234.33457.57652.496310.43842.492710.066811.2652
H246.00735.30797.38853.89468.31083.41118.04923.41579.66942.16509.44032.168310.17581.09348.05234.33257.57654.334510.43842.496310.06682.492711.2652

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 114.262 N1 C3 C5 115.377
N1 C3 C7 124.808 N2 N1 C3 114.262
N2 C4 C6 115.377 N2 C4 C8 124.808
C3 C5 C9 120.264 C3 C5 H15 117.868
C3 C7 C11 119.632 C3 C7 H17 118.319
C4 C6 C10 120.264 C4 C6 H16 117.868
C4 C8 C12 119.632 C4 C8 H18 118.319
C5 C3 C7 119.815 C5 C9 C13 119.805
C5 C9 H19 120.034 C6 C4 C8 119.815
C6 C10 C14 119.805 C6 C10 H20 120.034
C7 C11 C13 120.409 C7 C11 H21 119.851
C8 C12 C14 120.409 C8 C12 H22 119.851
C9 C5 H15 121.867 C9 C13 C11 120.075
C9 C13 H23 120.032 C10 C6 H16 121.867
C10 C14 C12 120.075 C10 C14 H24 120.032
C11 C7 H17 122.049 C11 C13 H23 119.894
C12 C8 H18 122.049 C12 C14 H24 119.894
C13 C9 H19 120.161 C13 C11 H21 119.740
C14 C10 H20 120.161 C14 C12 H22 119.740
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.270      
2 N -0.270      
3 C 0.383      
4 C 0.383      
5 C -0.164      
6 C -0.164      
7 C -0.173      
8 C -0.173      
9 C -0.102      
10 C -0.102      
11 C -0.107      
12 C -0.107      
13 C -0.113      
14 C -0.113      
15 H 0.108      
16 H 0.108      
17 H 0.118      
18 H 0.118      
19 H 0.107      
20 H 0.107      
21 H 0.107      
22 H 0.107      
23 H 0.107      
24 H 0.107      


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 -65.848 5.085 0.000
y 5.085 -68.388 0.000
z 0.000 0.000 -84.091
Traceless
 xyz
x 10.392 5.085 0.000
y 5.085 6.582 0.000
z 0.000 0.000 -16.973
Polar
3z2-r2-33.947
x2-y22.540
xy5.085
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 37.459 12.735 0.000
y 12.735 31.864 0.000
z 0.000 0.000 8.273


<r2> (average value of r2) Å2
<r2> 1101.008
(<r2>)1/2 33.181