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All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-572.472417
Energy at 298.15K-572.484163
HF Energy-572.472417
Nuclear repulsion energy749.146837
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 mPW1PW91/6-31G
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 3273 3098 0.00      
2 Ag 3265 3091 0.00      
3 Ag 3252 3078 0.00      
4 Ag 3240 3067 0.00      
5 Ag 3228 3056 0.00      
6 Ag 1685 1595 0.00      
7 Ag 1670 1581 0.00      
8 Ag 1555 1472 0.00      
9 Ag 1541 1458 0.00      
10 Ag 1508 1428 0.00      
11 Ag 1414 1339 0.00      
12 Ag 1382 1308 0.00      
13 Ag 1245 1178 0.00      
14 Ag 1227 1161 0.00      
15 Ag 1201 1137 0.00      
16 Ag 1126 1066 0.00      
17 Ag 1068 1011 0.00      
18 Ag 1045 990 0.00      
19 Ag 952 901 0.00      
20 Ag 703 666 0.00      
21 Ag 646 612 0.00      
22 Ag 312 295 0.00      
23 Ag 223 211 0.00      
24 Au 1058 1001 1.54      
25 Au 1034 979 0.11      
26 Au 993 940 12.88      
27 Au 894 846 0.00      
28 Au 827 783 82.18      
29 Au 729 690 98.77      
30 Au 574 543 14.02      
31 Au 430 407 0.01      
32 Au 316 299 1.18      
33 Au 66 62 1.73      
34 Au 32 30 0.05      
35 Bg 1057 1001 0.00      
36 Bg 1035 979 0.00      
37 Bg 987 935 0.00      
38 Bg 895 848 0.00      
39 Bg 807 764 0.00      
40 Bg 724 685 0.00      
41 Bg 508 481 0.00      
42 Bg 434 411 0.00      
43 Bg 278 263 0.00      
44 Bg 124 118 0.00      
45 Bu 3273 3098 16.67      
46 Bu 3265 3091 32.30      
47 Bu 3252 3078 52.47      
48 Bu 3240 3067 24.01      
49 Bu 3228 3056 1.52      
50 Bu 1685 1595 4.61      
51 Bu 1666 1577 5.81      
52 Bu 1558 1474 14.70      
53 Bu 1523 1442 16.88      
54 Bu 1411 1335 9.61      
55 Bu 1377 1304 1.41      
56 Bu 1295 1226 32.06      
57 Bu 1227 1161 0.54      
58 Bu 1214 1149 39.15      
59 Bu 1129 1069 14.99      
60 Bu 1067 1010 15.93      
61 Bu 1045 989 2.15      
62 Bu 858 812 0.58      
63 Bu 652 617 0.63      
64 Bu 561 531 6.30      
65 Bu 540 511 26.39      
66 Bu 83 79 1.94      

Unscaled Zero Point Vibrational Energy (zpe) 42854.0 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 40565.6 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 mPW1PW91/6-31G
ABC
0.09117 0.00972 0.00878

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.001 0.635 0.000
N2 -0.001 -0.635 0.000
C3 1.280 1.249 0.000
C4 -1.280 -1.249 0.000
C5 1.278 2.647 0.000
C6 -1.278 -2.647 0.000
C7 2.491 0.542 0.000
C8 -2.491 -0.542 0.000
C9 2.484 3.345 0.000
C10 -2.484 -3.345 0.000
C11 3.691 1.244 0.000
C12 -3.691 -1.244 0.000
C13 3.691 2.644 0.000
C14 -3.691 -2.644 0.000
H15 0.323 3.158 0.000
H16 -0.323 -3.158 0.000
H17 2.463 -0.539 0.000
H18 -2.463 0.539 0.000
H19 2.483 4.428 0.000
H20 -2.483 -4.428 0.000
H21 4.631 0.704 0.000
H22 -4.631 -0.704 0.000
H23 4.631 3.184 0.000
H24 -4.631 -3.184 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
N11.26991.41832.27752.38313.52232.49232.75643.67504.69143.74024.14264.20184.93802.54343.80662.72752.46544.53295.63934.63084.82185.28546.0033
N21.26992.27751.41833.52232.38312.75642.49234.69143.67504.14263.74024.93804.20183.80662.54342.46542.72755.63934.53294.82184.63086.00335.2854
C31.41832.27753.57561.39864.66001.40254.17472.41725.93782.41165.56062.78636.31362.13584.68872.14383.80893.39956.81023.39556.22503.87027.3881
C42.27751.41833.57564.66001.39864.17471.40255.93782.41725.56062.41166.31362.78634.68872.13583.80892.14386.81023.39956.22503.39557.38813.8702
C52.38313.52231.39864.66005.87862.42964.93751.39317.07442.79206.31092.41367.25851.08306.02163.39964.29342.15048.01243.87586.79303.39608.3015
C63.52232.38314.66001.39865.87864.93752.42967.07441.39316.31092.79207.25852.41366.02161.08304.29343.39968.01242.15046.79303.87588.30153.3960
C72.49232.75641.40254.17472.42964.93755.09962.80216.31341.38976.43552.42006.95553.39764.64891.08214.95413.88557.03202.14597.23093.39958.0384
C82.75642.49234.17471.40254.93752.42965.09966.31342.80216.43551.38976.95552.42004.64893.39764.95411.08217.03203.88557.23092.14598.03843.3995
C93.67504.69142.41725.93781.39317.07442.80216.31348.33172.42337.69291.39618.60192.16897.08223.88395.68641.08349.22383.40368.18602.15339.6561
C104.69143.67505.93782.41727.07441.39316.31342.80218.33177.69292.42338.60191.39617.08222.16895.68643.88399.22381.08348.18603.40369.65612.1533
C113.74024.14262.41165.56062.79206.31091.38976.43552.42337.69297.79031.40048.34363.87445.95702.16526.19413.40588.38381.08398.54732.15619.4268
C124.14263.74025.56062.41166.31092.79206.43551.38977.69292.42337.79038.34361.40045.95703.87446.19412.16528.38383.40588.54731.08399.42682.1561
C134.20184.93802.78636.31362.41367.25852.42006.95551.39618.60191.40048.34369.08103.40757.05513.41226.50392.15469.38792.15588.97071.083910.1601
C144.93804.20186.31362.78637.25852.41366.95552.42008.60191.39618.34361.40049.08107.05513.40756.50393.41229.38792.15468.97072.155810.16011.0839
H152.54343.80662.13584.68871.08306.02163.39764.64892.16897.08223.87445.95703.40757.05516.34874.27183.82302.50598.08814.95836.28144.30838.0475
H163.80662.54344.68872.13586.02161.08304.64893.39767.08222.16895.95703.87447.05513.40756.34873.82304.27188.08812.50596.28144.95838.04754.3083
H172.72752.46542.14383.80893.39964.29341.08214.95413.88395.68642.16526.19413.41226.50394.27183.82305.04204.96736.29132.49977.09584.30887.5706
H182.46542.72753.80892.14384.29343.39964.95411.08215.68643.88396.19412.16526.50393.41223.82304.27185.04206.29134.96737.09582.49977.57064.3088
H194.53295.63933.39956.81022.15048.01243.88557.03201.08349.22383.40588.38382.15469.38792.50598.08814.96736.291310.15314.29928.77202.482110.4188
H205.63934.53296.81023.39958.01242.15047.03203.88559.22381.08348.38383.40589.38792.15468.08812.50596.29134.967310.15318.77204.299210.41882.4821
H214.63084.82183.39556.22503.87586.79302.14597.23093.40368.18601.08398.54732.15588.97074.95836.28142.49977.09584.29928.77209.36892.480210.0452
H224.82184.63086.22503.39556.79303.87587.23092.14598.18603.40368.54731.08398.97072.15586.28144.95837.09582.49978.77204.29929.368910.04522.4802
H235.28546.00333.87027.38813.39608.30153.39958.03842.15339.65612.15619.42681.083910.16014.30838.04754.30887.57062.482110.41882.480210.045211.2400
H246.00335.28547.38813.87028.30153.39608.03843.39959.65612.15339.42682.156110.16011.08398.04754.30837.57064.308810.41882.482110.04522.480211.2400

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 115.714 N1 C3 C5 115.552
N1 C3 C7 124.140 N2 N1 C3 115.714
N2 C4 C6 115.552 N2 C4 C8 124.140
C3 C5 C9 119.961 C3 C5 H15 118.224
C3 C7 C11 119.470 C3 C7 H17 118.704
C4 C6 C10 119.961 C4 C6 H16 118.224
C4 C8 C12 119.470 C4 C8 H18 118.704
C5 C3 C7 120.308 C5 C9 C13 119.843
C5 C9 H19 120.007 C6 C4 C8 120.308
C6 C10 C14 119.843 C6 C10 H20 120.007
C7 C11 C13 120.303 C7 C11 H21 119.837
C8 C12 C14 120.303 C8 C12 H22 119.837
C9 C5 H15 121.815 C9 C13 C11 120.115
C9 C13 H23 119.991 C10 C6 H16 121.815
C10 C14 C12 120.115 C10 C14 H24 119.991
C11 C7 H17 121.826 C11 C13 H23 119.894
C12 C8 H18 121.826 C12 C14 H24 119.894
C13 C9 H19 120.151 C13 C11 H21 119.860
C14 C10 H20 120.151 C14 C12 H22 119.860
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.308      
2 N -0.308      
3 C 0.134      
4 C 0.134      
5 C -0.124      
6 C -0.124      
7 C -0.085      
8 C -0.085      
9 C -0.185      
10 C -0.185      
11 C -0.193      
12 C -0.193      
13 C -0.148      
14 C -0.148      
15 H 0.186      
16 H 0.186      
17 H 0.202      
18 H 0.202      
19 H 0.174      
20 H 0.174      
21 H 0.175      
22 H 0.175      
23 H 0.173      
24 H 0.173      


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 -64.558 5.656 0.000
y 5.656 -67.340 0.000
z 0.000 0.000 -85.924
Traceless
 xyz
x 12.075 5.656 0.000
y 5.656 7.900 0.000
z 0.000 0.000 -19.975
Polar
3z2-r2-39.950
x2-y22.783
xy5.656
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 32.896 10.638 0.000
y 10.638 29.128 0.000
z 0.000 0.000 6.056


<r2> (average value of r2) Å2
<r2> 1100.216
(<r2>)1/2 33.170