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All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: PBEPBE/6-31G**

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**
 hartrees
Energy at 0K-572.060155
Energy at 298.15K-572.071178
HF Energy-572.060155
Nuclear repulsion energy746.478085
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**
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 3154 3111 0.00      
2 Ag 3146 3103 0.00      
3 Ag 3136 3093 0.00      
4 Ag 3126 3083 0.00      
5 Ag 3116 3073 0.00      
6 Ag 1610 1588 0.00      
7 Ag 1593 1571 0.00      
8 Ag 1488 1467 0.00      
9 Ag 1463 1442 0.00      
10 Ag 1427 1408 0.00      
11 Ag 1377 1358 0.00      
12 Ag 1293 1275 0.00      
13 Ag 1182 1166 0.00      
14 Ag 1151 1135 0.00      
15 Ag 1132 1116 0.00      
16 Ag 1069 1054 0.00      
17 Ag 1019 1005 0.00      
18 Ag 986 973 0.00      
19 Ag 915 902 0.00      
20 Ag 662 653 0.00      
21 Ag 604 596 0.00      
22 Ag 299 295 0.00      
23 Ag 217 214 0.00      
24 Au 967 954 0.77      
25 Au 948 935 0.02      
26 Au 916 903 7.56      
27 Au 831 819 0.00      
28 Au 773 762 52.38      
29 Au 681 671 58.20      
30 Au 539 531 7.64      
31 Au 401 396 0.01      
32 Au 294 290 0.77      
33 Au 61 60 1.30      
34 Au 26 26 0.06      
35 Bg 967 954 0.00      
36 Bg 948 935 0.00      
37 Bg 911 899 0.00      
38 Bg 832 820 0.00      
39 Bg 753 743 0.00      
40 Bg 675 666 0.00      
41 Bg 471 465 0.00      
42 Bg 405 399 0.00      
43 Bg 244 241 0.00      
44 Bg 103 102 0.00      
45 Bu 3154 3111 14.47      
46 Bu 3145 3102 42.86      
47 Bu 3136 3093 35.65      
48 Bu 3126 3083 18.10      
49 Bu 3116 3073 5.26      
50 Bu 1608 1586 5.70      
51 Bu 1589 1567 3.70      
52 Bu 1477 1457 8.11      
53 Bu 1449 1429 12.44      
54 Bu 1373 1354 6.04      
55 Bu 1287 1270 1.74      
56 Bu 1234 1217 25.45      
57 Bu 1151 1135 0.41      
58 Bu 1140 1125 34.20      
59 Bu 1073 1058 15.16      
60 Bu 1019 1005 11.57      
61 Bu 985 972 4.16      
62 Bu 820 808 0.78      
63 Bu 611 602 0.75      
64 Bu 529 522 6.14      
65 Bu 517 510 23.44      
66 Bu 82 81 1.73      

Unscaled Zero Point Vibrational Energy (zpe) 40763.5 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 40205.1 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**
ABC
0.09009 0.00970 0.00875

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.009 0.638 0.000
N2 0.009 -0.638 0.000
C3 1.278 1.235 0.000
C4 -1.278 -1.235 0.000
C5 1.286 2.644 0.000
C6 -1.286 -2.644 0.000
C7 2.499 0.524 0.000
C8 -2.499 -0.524 0.000
C9 2.499 3.341 0.000
C10 -2.499 -3.341 0.000
C11 3.705 1.226 0.000
C12 -3.705 -1.226 0.000
C13 3.710 2.634 0.000
C14 -3.710 -2.634 0.000
H15 0.323 3.162 0.000
H16 -0.323 -3.162 0.000
H17 2.465 -0.568 0.000
H18 -2.465 0.568 0.000
H19 2.502 4.435 0.000
H20 -2.502 -4.435 0.000
H21 4.653 0.679 0.000
H22 -4.653 -0.679 0.000
H23 4.661 3.175 0.000
H24 -4.661 -3.175 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
N11.27641.41832.26292.38773.52242.51042.74853.68744.69473.75974.13974.22034.94032.54603.81362.75152.45694.55185.65284.66164.82745.31426.0155
N21.27642.26291.41833.52242.38772.74852.51044.69473.68744.13973.75974.94034.22033.81362.54602.45692.75155.65284.55184.82744.66166.01555.3142
C31.41832.26293.55471.40914.65041.41334.16682.43465.93402.42705.55752.80566.31272.15094.68002.15873.80143.42606.81463.42056.23203.89987.3975
C42.26291.41833.55474.65041.40914.16681.41335.93402.43465.55752.42706.31272.80564.68002.15093.80142.15876.81463.42606.23203.42057.39753.8998
C52.38773.52241.40914.65045.88112.44284.93651.39917.08232.80406.31582.42417.26781.09376.02573.42174.28702.16448.02923.89856.80553.41628.3208
C63.52242.38774.65041.40915.88114.93652.44287.08231.39916.31582.80407.26782.42416.02571.09374.28703.42178.02922.16446.80553.89858.32083.4162
C72.51042.74851.41334.16682.44284.93655.10732.81736.31881.39506.44622.43246.96633.42024.64281.09274.96403.91127.04302.15917.25263.42088.0594
C82.74852.51044.16681.41334.93652.44285.10736.31882.81736.44621.39506.96632.43244.64283.42024.96401.09277.04303.91127.25262.15918.05943.4208
C93.68744.69472.43465.93401.39917.08232.81736.31888.34532.43497.70401.40268.61732.18377.08983.90965.68601.09399.24583.42458.20452.16799.6817
C104.69473.68745.93402.43467.08231.39916.31882.81738.34537.70402.43498.61731.40267.08982.18375.68603.90969.24581.09398.20453.42459.68172.1679
C113.75974.13972.42705.55752.80406.31581.39506.44622.43497.70407.80481.40788.35943.89725.95652.18106.20433.42768.40051.09458.57202.17139.4528
C124.13973.75975.55752.42706.31582.80406.44621.39507.70402.43497.80488.35941.40785.95653.89726.20432.18108.40053.42768.57201.09459.45282.1713
C134.22034.94032.80566.31272.42417.26782.43246.96631.40268.61731.40788.35949.09983.42837.06123.43556.51102.16949.41042.17038.99511.094210.1892
C144.94034.22036.31272.80567.26782.42416.96632.43248.61731.40268.35941.40789.09987.06123.42836.51103.43559.41042.16948.99512.170310.18921.0942
H152.54603.81362.15094.68001.09376.02573.42024.64282.18377.08983.89725.95653.42837.06126.35784.30153.80802.52328.10574.99176.28594.33808.0626
H163.81362.54604.68002.15096.02571.09374.64283.42027.08982.18375.95653.89727.06123.42836.35783.80804.30158.10572.52326.28594.99178.06264.3380
H172.75152.45692.15873.80143.42174.28701.09274.96403.90965.68602.18106.20433.43556.51104.30153.80805.05835.00346.29422.51867.11824.34027.5874
H182.45692.75153.80142.15874.28703.42174.96401.09275.68603.90966.20432.18106.51103.43553.80804.30155.05836.29425.00347.11822.51867.58744.3402
H194.55185.65283.42606.81462.16448.02923.91127.04301.09399.24583.42768.40052.16949.41042.52328.10575.00346.294210.18414.32898.79422.500010.4509
H205.65284.55186.81463.42608.02922.16447.04303.91129.24581.09398.40053.42769.41042.16948.10572.52326.29425.003410.18418.79424.328910.45092.5000
H214.66164.82743.42056.23203.89856.80552.15917.25263.42458.20451.09458.57202.17038.99514.99176.28592.51867.11824.32898.79429.40422.496610.0796
H224.82744.66166.23203.42056.80553.89857.25262.15918.20453.42458.57201.09458.99512.17036.28594.99177.11822.51868.79424.32899.404210.07962.4966
H235.31426.01553.89987.39753.41628.32083.42088.05942.16799.68172.17139.45281.094210.18924.33808.06264.34027.58742.500010.45092.496610.079611.2795
H246.01555.31427.39753.89988.32083.41628.05943.42089.68172.16799.45282.171310.18921.09428.06264.33807.58744.340210.45092.500010.07962.496611.2795

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 114.131 N1 C3 C5 115.233
N1 C3 C7 124.890 N2 N1 C3 114.131
N2 C4 C6 115.233 N2 C4 C8 124.890
C3 C5 C9 120.214 C3 C5 H15 117.940
C3 C7 C11 119.585 C3 C7 H17 118.387
C4 C6 C10 120.214 C4 C6 H16 117.940
C4 C8 C12 119.585 C4 C8 H18 118.387
C5 C3 C7 119.877 C5 C9 C13 119.817
C5 C9 H19 120.000 C6 C4 C8 119.877
C6 C10 C14 119.817 C6 C10 H20 120.000
C7 C11 C13 120.420 C7 C11 H21 119.805
C8 C12 C14 120.420 C8 C12 H22 119.805
C9 C5 H15 121.846 C9 C13 C11 120.087
C9 C13 H23 120.021 C10 C6 H16 121.846
C10 C14 C12 120.087 C10 C14 H24 120.021
C11 C7 H17 122.028 C11 C13 H23 119.892
C12 C8 H18 122.028 C12 C14 H24 119.892
C13 C9 H19 120.183 C13 C11 H21 119.775
C14 C10 H20 120.183 C14 C12 H22 119.775
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.298      
2 N -0.298      
3 C 0.227      
4 C 0.227      
5 C -0.088      
6 C -0.088      
7 C -0.064      
8 C -0.064      
9 C -0.109      
10 C -0.109      
11 C -0.119      
12 C -0.119      
13 C -0.085      
14 C -0.085      
15 H 0.107      
16 H 0.107      
17 H 0.118      
18 H 0.118      
19 H 0.104      
20 H 0.104      
21 H 0.104      
22 H 0.104      
23 H 0.102      
24 H 0.102      


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 -65.344 5.238 0.000
y 5.238 -67.996 0.000
z 0.000 0.000 -84.755
Traceless
 xyz
x 11.031 5.238 0.000
y 5.238 7.054 0.000
z 0.000 0.000 -18.085
Polar
3z2-r2-36.171
x2-y22.652
xy5.238
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 37.111 12.741 0.000
y 12.741 31.576 0.000
z 0.000 0.000 6.883


<r2> (average value of r2) Å2
<r2> 1103.826
(<r2>)1/2 33.224