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All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-572.657341
Energy at 298.15K-572.668783
HF Energy-572.657341
Nuclear repulsion energy751.493817
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 mPW1PW91/6-31+G**
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 3255 3098 0.00      
2 Ag 3243 3086 0.00      
3 Ag 3233 3078 0.00      
4 Ag 3224 3068 0.00      
5 Ag 3214 3059 0.00      
6 Ag 1680 1599 0.00      
7 Ag 1662 1582 0.00      
8 Ag 1599 1522 0.00      
9 Ag 1521 1448 0.00      
10 Ag 1499 1426 0.00      
11 Ag 1395 1328 0.00      
12 Ag 1343 1279 0.00      
13 Ag 1226 1167 0.00      
14 Ag 1187 1130 0.00      
15 Ag 1178 1121 0.00      
16 Ag 1106 1052 0.00      
17 Ag 1053 1002 0.00      
18 Ag 1020 971 0.00      
19 Ag 947 901 0.00      
20 Ag 684 651 0.00      
21 Ag 624 594 0.00      
22 Ag 309 294 0.00      
23 Ag 225 214 0.00      
24 Au 1013 964 0.08      
25 Au 1000 952 0.00      
26 Au 955 909 9.41      
27 Au 861 820 0.12      
28 Au 798 760 85.23      
29 Au 703 669 90.94      
30 Au 562 535 17.12      
31 Au 417 397 0.01      
32 Au 308 293 0.76      
33 Au 64 61 1.61      
34 Au 21 20 0.04      
35 Bg 1013 964 0.00      
36 Bg 1001 952 0.00      
37 Bg 949 903 0.00      
38 Bg 863 821 0.00      
39 Bg 774 737 0.00      
40 Bg 693 660 0.00      
41 Bg 488 464 0.00      
42 Bg 422 402 0.00      
43 Bg 262 249 0.00      
44 Bg 110 105 0.00      
45 Bu 3255 3098 10.08      
46 Bu 3243 3086 32.91      
47 Bu 3233 3078 30.95      
48 Bu 3224 3068 15.91      
49 Bu 3214 3059 2.39      
50 Bu 1673 1592 2.81      
51 Bu 1655 1576 3.76      
52 Bu 1535 1461 9.74      
53 Bu 1498 1426 11.85      
54 Bu 1392 1325 9.52      
55 Bu 1337 1272 1.07      
56 Bu 1281 1220 27.38      
57 Bu 1187 1130 0.40      
58 Bu 1182 1125 26.55      
59 Bu 1109 1056 15.50      
60 Bu 1053 1002 16.30      
61 Bu 1019 970 2.72      
62 Bu 847 806 0.55      
63 Bu 631 600 0.74      
64 Bu 546 520 4.52      
65 Bu 533 507 26.22      
66 Bu 85 81 2.05      

Unscaled Zero Point Vibrational Energy (zpe) 42215.7 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 40180.9 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 mPW1PW91/6-31+G**
ABC
0.09152 0.00980 0.00886

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.003 0.625 0.000
N2 0.003 -0.625 0.000
C3 1.276 1.228 0.000
C4 -1.276 -1.228 0.000
C5 1.280 2.626 0.000
C6 -1.280 -2.626 0.000
C7 2.486 0.522 0.000
C8 -2.486 -0.522 0.000
C9 2.486 3.320 0.000
C10 -2.486 -3.320 0.000
C11 3.685 1.221 0.000
C12 -3.685 -1.221 0.000
C13 3.690 2.619 0.000
C14 -3.690 -2.619 0.000
H15 0.328 3.146 0.000
H16 -0.328 -3.146 0.000
H17 2.463 -0.561 0.000
H18 -2.463 0.561 0.000
H19 2.487 4.405 0.000
H20 -2.487 -4.405 0.000
H21 4.624 0.678 0.000
H22 -4.624 -0.678 0.000
H23 4.632 3.157 0.000
H24 -4.632 -3.157 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
N11.25051.41352.24852.37663.49292.49122.73563.66844.66183.73514.11864.19634.91092.54213.78502.73612.46074.52595.61004.62714.80135.28105.9775
N21.25052.24851.41353.49292.37662.73562.49124.66183.66844.11863.73514.91094.19633.78502.54212.46072.73615.61004.52594.80134.62715.97755.2810
C31.41352.24853.54181.39734.62461.40184.14902.41675.90252.40905.53182.78596.28132.13854.65892.14743.79743.39956.77423.39346.19983.87087.3571
C42.24851.41353.54184.62461.39734.14901.40185.90252.41675.53182.40906.28132.78594.65892.13853.79742.14746.77423.39956.19983.39347.35713.8708
C52.37663.49291.39734.62465.84252.42494.90861.39167.03832.78476.28052.40947.22531.08475.99143.39904.27472.14977.97623.86986.76553.39358.2698
C63.49292.37664.62461.39735.84254.90862.42497.03831.39166.28052.78477.22532.40945.99141.08474.27473.39907.97622.14976.76553.86988.26983.3935
C72.49122.73561.40184.14902.42494.90865.08082.79806.28381.38726.41212.41776.92863.39724.62311.08324.94913.88277.00042.14347.21073.39788.0125
C82.73562.49124.14901.40184.90862.42495.08086.28382.79806.41211.38726.92862.41774.62313.39724.94911.08327.00043.88277.21072.14348.01253.3978
C93.66844.66182.41675.90251.39167.03832.79806.28388.29552.41717.66141.39278.56802.16507.05183.88115.66611.08479.18723.39888.15702.15199.6236
C104.66183.66845.90252.41677.03831.39166.28382.79808.29557.66142.41718.56801.39277.05182.16505.66613.88119.18721.08478.15703.39889.62362.1519
C113.73514.11862.40905.53182.78476.28051.38726.41212.41717.66147.76301.39818.31393.86905.93042.16046.18253.40178.35071.08518.52262.15529.3981
C124.11863.73515.53182.40906.28052.78476.41211.38727.66142.41717.76308.31391.39815.93043.86906.18252.16048.35073.40178.52261.08519.39812.1552
C134.19634.91092.78596.28132.40947.22532.41776.92861.39278.56801.39818.31399.04913.40237.02673.40836.48742.15309.35322.15438.94331.085010.1294
C144.91094.19636.28132.78597.22532.40946.92862.41778.56801.39278.31391.39819.04917.02673.40236.48743.40839.35322.15308.94332.154310.12941.0850
H152.54213.78502.13854.65891.08475.99143.39724.62312.16507.05183.86905.93043.40237.02676.32564.27733.80402.49908.05824.95416.25654.30378.0202
H163.78502.54214.65892.13855.99141.08474.62313.39727.05182.16505.93043.86907.02673.40236.32563.80404.27738.05822.49906.25654.95418.02024.3037
H172.73612.46072.14743.79743.39904.27471.08324.94913.88115.66612.16046.18253.40836.48744.27733.80405.05164.96576.26692.49107.08764.30417.5546
H182.46072.73613.79742.14744.27473.39904.94911.08325.66613.88116.18252.16046.48743.40833.80404.27735.05166.26694.96577.08762.49107.55464.3041
H194.52595.61003.39956.77422.14977.97623.88277.00041.08479.18723.40178.35072.15309.35322.49908.05824.96576.266910.11674.29618.74062.481610.3852
H205.61004.52596.77423.39957.97622.14977.00043.88279.18721.08478.35073.40179.35322.15308.05822.49906.26694.965710.11678.74064.296110.38522.4816
H214.62714.80133.39346.19983.86986.76552.14347.21073.39888.15701.08518.52262.15438.94334.95416.25652.49107.08764.29618.74069.34672.478910.0187
H224.80134.62716.19983.39346.76553.86987.21072.14348.15703.39888.52261.08518.94332.15436.25654.95417.08762.49108.74064.29619.346710.01872.4789
H235.28105.97753.87087.35713.39358.26983.39788.01252.15199.62362.15529.39811.085010.12944.30378.02024.30417.55462.481610.38522.478910.018711.2105
H245.97755.28107.35713.87088.26983.39358.01253.39789.62362.15199.39812.155210.12941.08508.02024.30377.55464.304110.38522.481610.01872.478911.2105

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 115.002 N1 C3 C5 115.454
N1 C3 C7 124.474 N2 N1 C3 115.002
N2 C4 C6 115.454 N2 C4 C8 124.474
C3 C5 C9 120.121 C3 C5 H15 118.451
C3 C7 C11 119.485 C3 C7 H17 119.022
C4 C6 C10 120.121 C4 C6 H16 118.451
C4 C8 C12 119.485 C4 C8 H18 119.022
C5 C3 C7 120.072 C5 C9 C13 119.846
C5 C9 H19 119.971 C6 C4 C8 120.072
C6 C10 C14 119.846 C6 C10 H20 119.971
C7 C11 C13 120.459 C7 C11 H21 119.718
C8 C12 C14 120.459 C8 C12 H22 119.718
C9 C5 H15 121.428 C9 C13 C11 120.018
C9 C13 H23 120.064 C10 C6 H16 121.428
C10 C14 C12 120.018 C10 C14 H24 120.064
C11 C7 H17 121.493 C11 C13 H23 119.918
C12 C8 H18 121.493 C12 C14 H24 119.918
C13 C9 H19 120.184 C13 C11 H21 119.822
C14 C10 H20 120.184 C14 C12 H22 119.822
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.067      
2 N 0.067      
3 C -1.160      
4 C -1.160      
5 C 0.492      
6 C 0.492      
7 C 0.549      
8 C 0.549      
9 C -0.327      
10 C -0.327      
11 C -0.398      
12 C -0.398      
13 C -0.057      
14 C -0.057      
15 H 0.164      
16 H 0.164      
17 H 0.180      
18 H 0.180      
19 H 0.164      
20 H 0.164      
21 H 0.165      
22 H 0.165      
23 H 0.162      
24 H 0.162      


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 -66.255 5.022 0.000
y 5.022 -68.792 0.000
z 0.000 0.000 -87.596
Traceless
 xyz
x 11.939 5.022 0.000
y 5.022 8.133 0.000
z 0.000 0.000 -20.072
Polar
3z2-r2-40.144
x2-y22.537
xy5.022
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 35.666 10.765 0.000
y 10.765 31.426 0.000
z 0.000 0.000 11.685


<r2> (average value of r2) Å2
<r2> 1092.661
(<r2>)1/2 33.055