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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-571.909351
Energy at 298.15K-571.920639
HF Energy-571.909351
Nuclear repulsion energy743.040360
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 3173 3129 0.00      
2 Ag 3166 3122 0.00      
3 Ag 3153 3109 0.00      
4 Ag 3140 3097 0.00      
5 Ag 3129 3086 0.00      
6 Ag 1611 1589 0.00      
7 Ag 1594 1572 0.00      
8 Ag 1488 1468 0.00      
9 Ag 1474 1454 0.00      
10 Ag 1386 1367 0.00      
11 Ag 1372 1353 0.00      
12 Ag 1325 1307 0.00      
13 Ag 1198 1181 0.00      
14 Ag 1185 1169 0.00      
15 Ag 1146 1130 0.00      
16 Ag 1086 1071 0.00      
17 Ag 1029 1015 0.00      
18 Ag 1007 993 0.00      
19 Ag 913 901 0.00      
20 Ag 678 668 0.00      
21 Ag 623 614 0.00      
22 Ag 301 297 0.00      
23 Ag 215 212 0.00      
24 Au 1001 987 1.47      
25 Au 977 963 0.10      
26 Au 940 927 10.14      
27 Au 852 840 0.00      
28 Au 791 780 67.47      
29 Au 697 688 85.58      
30 Au 548 540 11.17      
31 Au 411 406 0.00      
32 Au 300 296 1.12      
33 Au 63 62 1.69      
34 Au 31 31 0.10      
35 Bg 1000 986 0.00      
36 Bg 977 963 0.00      
37 Bg 935 922 0.00      
38 Bg 853 841 0.00      
39 Bg 772 762 0.00      
40 Bg 693 683 0.00      
41 Bg 485 478 0.00      
42 Bg 416 410 0.00      
43 Bg 261 257 0.00      
44 Bg 122 120 0.00      
45 Bu 3172 3129 23.18      
46 Bu 3165 3122 44.25      
47 Bu 3153 3109 55.70      
48 Bu 3140 3097 25.78      
49 Bu 3129 3086 3.85      
50 Bu 1611 1589 8.05      
51 Bu 1592 1570 4.51      
52 Bu 1494 1473 10.79      
53 Bu 1467 1446 15.16      
54 Bu 1383 1364 6.70      
55 Bu 1325 1306 2.11      
56 Bu 1240 1223 25.47      
57 Bu 1185 1169 0.48      
58 Bu 1167 1151 48.75      
59 Bu 1089 1074 15.10      
60 Bu 1028 1014 14.16      
61 Bu 1007 993 3.07      
62 Bu 826 814 0.61      
63 Bu 629 620 0.62      
64 Bu 542 534 7.32      
65 Bu 521 514 24.02      
66 Bu 81 80 1.89      

Unscaled Zero Point Vibrational Energy (zpe) 41229.0 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 40660.1 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
0.08954 0.00958 0.00865

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 -0.003 0.648 0.000
N2 0.003 -0.648 0.000
C3 1.289 1.254 0.000
C4 -1.289 -1.254 0.000
C5 1.294 2.666 0.000
C6 -1.294 -2.666 0.000
C7 2.511 0.539 0.000
C8 -2.511 -0.539 0.000
C9 2.511 3.364 0.000
C10 -2.511 -3.364 0.000
C11 3.721 1.242 0.000
C12 -3.721 -1.242 0.000
C13 3.726 2.654 0.000
C14 -3.726 -2.654 0.000
H15 0.331 3.183 0.000
H16 -0.331 -3.183 0.000
H17 2.474 -0.552 0.000
H18 -2.474 0.552 0.000
H19 2.514 4.457 0.000
H20 -2.514 -4.457 0.000
H21 4.668 0.695 0.000
H22 -4.668 -0.695 0.000
H23 4.676 3.196 0.000
H24 -4.676 -3.196 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
N11.29691.42722.29642.39843.55672.51622.77443.70044.73133.77114.17054.23404.97612.55603.84502.75332.47304.56545.68954.67184.85465.32756.0506
N21.29692.29641.42723.55672.39842.77442.51624.73133.70044.17053.77114.97614.23403.84502.55602.47302.75335.68954.56544.85464.67186.05065.3275
C31.42722.29643.59701.41184.69441.41544.20162.43785.98022.43185.59722.81006.35772.15354.72312.16063.82833.42926.86163.42526.26813.90387.4418
C42.29641.42723.59704.69441.41184.20161.41545.98022.43785.59722.43186.35772.81004.72312.15353.82832.16066.86163.42926.26813.42527.44183.9038
C52.39843.55671.41184.69445.92652.45044.97441.40297.12952.81426.35732.43227.31391.09286.06993.42804.32032.16748.07693.90816.84393.42358.3662
C63.55672.39844.69441.41185.92654.97442.45047.12951.40296.35732.81427.31392.43226.06991.09284.32033.42808.07692.16746.84393.90818.36623.4235
C72.51622.77441.41544.20162.45044.97445.13562.82466.35971.39946.48092.43897.00623.42644.68231.09204.98503.91797.08582.16337.28413.42718.0990
C82.77442.51624.20161.41544.97442.45045.13566.35972.82466.48091.39947.00622.43894.68233.42644.98501.09207.08583.91797.28412.16338.09903.4271
C93.70044.73132.43785.98021.40297.12952.82466.35978.39492.44287.74871.40748.66622.18767.13643.91625.72321.09339.29593.43198.24682.17179.7299
C104.73133.70045.98022.43787.12951.40296.35972.82468.39497.74872.44288.66621.40747.13642.18765.72323.91629.29591.09338.24683.43199.72992.1717
C113.77114.17052.43185.59722.81426.35731.39946.48092.44287.74877.84521.41198.40403.90655.99912.18466.23343.43438.44691.09398.60982.17489.4971
C124.17053.77115.59722.43186.35732.81426.48091.39947.74872.44287.84528.40401.41195.99913.90656.23342.18468.44693.43438.60981.09399.49712.1748
C134.23404.97612.81006.35772.43227.31392.43897.00621.40748.66621.41198.40409.14853.43627.10753.44166.54662.17279.46042.17379.03731.093710.2373
C144.97614.23406.35772.81007.31392.43227.00622.43898.66621.40748.40401.41199.14857.10753.43626.54663.44169.46042.17279.03732.173710.23731.0937
H152.55603.84502.15354.72311.09286.06993.42644.68232.18767.13643.90655.99913.43627.10756.39944.30643.84532.52828.15215.00046.32644.34538.1084
H163.84502.55604.72312.15356.06991.09284.68233.42647.13642.18765.99913.90657.10753.43626.39943.84534.30648.15212.52826.32645.00048.10844.3453
H172.75332.47302.16063.82833.42804.32031.09204.98503.91625.72322.18466.23343.44166.54664.30643.84535.07055.00956.33492.52367.14414.34677.6232
H182.47302.75333.82832.16064.32033.42804.98501.09205.72323.91626.23342.18466.54663.44163.84534.30645.07056.33495.00957.14412.52367.62324.3467
H194.56545.68953.42926.86162.16748.07693.91797.08581.09339.29593.43438.44692.17279.46042.52828.15215.00956.334910.23454.33538.83902.503010.5004
H205.68954.56546.86163.42928.07692.16747.08583.91799.29591.09338.44693.43439.46042.17278.15212.52826.33495.009510.23458.83904.335310.50042.5030
H214.67184.85463.42526.26813.90816.84392.16337.28413.43198.24681.09398.60982.17379.03735.00046.32642.52367.14414.33538.83909.43942.500710.1217
H224.85464.67186.26813.42526.84393.90817.28412.16338.24683.43198.60981.09399.03732.17376.32645.00047.14412.52368.83904.33539.439410.12172.5007
H235.32756.05063.90387.44183.42358.36623.42718.09902.17179.72992.17489.49711.093710.23734.34538.10844.34677.62322.503010.50042.500710.121711.3271
H246.05065.32757.44183.90388.36623.42358.09903.42719.72992.17179.49712.174810.23731.09378.10844.34537.62324.346710.50042.503010.12172.500711.3271

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 114.823 N1 C3 C5 115.295
N1 C3 C7 124.546 N2 N1 C3 114.823
N2 C4 C6 115.295 N2 C4 C8 124.546
C3 C5 C9 120.013 C3 C5 H15 118.029
C3 C7 C11 119.520 C3 C7 H17 118.442
C4 C6 C10 120.013 C4 C6 H16 118.029
C4 C8 C12 119.520 C4 C8 H18 118.442
C5 C3 C7 120.158 C5 C9 C13 119.870
C5 C9 H19 120.007 C6 C4 C8 120.158
C6 C10 C14 119.870 C6 C10 H20 120.007
C7 C11 C13 120.340 C7 C11 H21 119.868
C8 C12 C14 120.340 C8 C12 H22 119.868
C9 C5 H15 121.958 C9 C13 C11 120.099
C9 C13 H23 119.998 C10 C6 H16 121.958
C10 C14 C12 120.099 C10 C14 H24 119.998
C11 C7 H17 122.039 C11 C13 H23 119.903
C12 C8 H18 122.039 C12 C14 H24 119.903
C13 C9 H19 120.123 C13 C11 H21 119.792
C14 C10 H20 120.123 C14 C12 H22 119.792
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 -0.288      
2 N -0.288      
3 C 0.134      
4 C 0.134      
5 C -0.096      
6 C -0.096      
7 C -0.062      
8 C -0.062      
9 C -0.153      
10 C -0.153      
11 C -0.163      
12 C -0.163      
13 C -0.117      
14 C -0.117      
15 H 0.150      
16 H 0.150      
17 H 0.165      
18 H 0.165      
19 H 0.143      
20 H 0.143      
21 H 0.144      
22 H 0.144      
23 H 0.142      
24 H 0.142      


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 -64.869 5.953 0.000
y 5.953 -67.879 0.000
z 0.000 0.000 -85.654
Traceless
 xyz
x 11.897 5.953 0.000
y 5.953 7.383 0.000
z 0.000 0.000 -19.280
Polar
3z2-r2-38.560
x2-y23.010
xy5.953
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 36.599 12.762 0.000
y 12.762 31.340 0.000
z 0.000 0.000 6.153


<r2> (average value of r2) Å2
<r2> 1116.218
(<r2>)1/2 33.410