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All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-569.456438
Energy at 298.15K-569.468276
HF Energy-569.456438
Nuclear repulsion energy750.001351
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 mPW1PW91/3-21G
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 3268 3119 0.00      
2 Ag 3256 3108 0.00      
3 Ag 3244 3097 0.00      
4 Ag 3232 3086 0.00      
5 Ag 3221 3075 0.00      
6 Ag 1654 1579 0.00      
7 Ag 1637 1563 0.00      
8 Ag 1542 1472 0.00      
9 Ag 1523 1454 0.00      
10 Ag 1413 1348 0.00      
11 Ag 1373 1311 0.00      
12 Ag 1365 1303 0.00      
13 Ag 1238 1182 0.00      
14 Ag 1233 1177 0.00      
15 Ag 1168 1115 0.00      
16 Ag 1120 1069 0.00      
17 Ag 1062 1014 0.00      
18 Ag 1044 997 0.00      
19 Ag 938 895 0.00      
20 Ag 706 674 0.00      
21 Ag 653 623 0.00      
22 Ag 308 294 0.00      
23 Ag 222 212 0.00      
24 Au 1076 1027 5.96      
25 Au 1049 1001 0.01      
26 Au 1008 962 16.45      
27 Au 898 857 0.00      
28 Au 839 801 58.92      
29 Au 740 707 140.72      
30 Au 578 552 20.80      
31 Au 435 415 0.00      
32 Au 316 302 0.72      
33 Au 67 64 1.71      
34 Au 39 37 0.07      
35 Bg 1074 1026 0.00      
36 Bg 1049 1002 0.00      
37 Bg 1002 956 0.00      
38 Bg 899 858 0.00      
39 Bg 819 782 0.00      
40 Bg 737 704 0.00      
41 Bg 515 492 0.00      
42 Bg 439 419 0.00      
43 Bg 282 269 0.00      
44 Bg 135 129 0.00      
45 Bu 3268 3119 8.91      
46 Bu 3256 3108 15.52      
47 Bu 3244 3096 29.24      
48 Bu 3232 3086 14.38      
49 Bu 3221 3075 1.32      
50 Bu 1654 1579 1.73      
51 Bu 1635 1561 7.47      
52 Bu 1547 1476 27.75      
53 Bu 1515 1447 19.25      
54 Bu 1382 1319 5.04      
55 Bu 1361 1299 6.33      
56 Bu 1264 1207 8.10      
57 Bu 1233 1177 0.21      
58 Bu 1209 1154 51.05      
59 Bu 1124 1073 17.31      
60 Bu 1061 1012 18.94      
61 Bu 1045 997 0.38      
62 Bu 847 808 0.73      
63 Bu 658 628 0.42      
64 Bu 563 538 8.13      
65 Bu 534 509 24.41      
66 Bu 83 79 1.76      

Unscaled Zero Point Vibrational Energy (zpe) 42674.4 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 40737.0 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 mPW1PW91/3-21G
ABC
0.09148 0.00975 0.00881

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.016 0.642 0.000
N2 0.016 -0.642 0.000
C3 1.266 1.257 0.000
C4 -1.266 -1.257 0.000
C5 1.272 2.653 0.000
C6 -1.272 -2.653 0.000
C7 2.477 0.555 0.000
C8 -2.477 -0.555 0.000
C9 2.477 3.348 0.000
C10 -2.477 -3.348 0.000
C11 3.677 1.248 0.000
C12 -3.677 -1.248 0.000
C13 3.681 2.646 0.000
C14 -3.681 -2.646 0.000
H15 0.320 3.166 0.000
H16 -0.320 -3.166 0.000
H17 2.439 -0.526 0.000
H18 -2.439 0.526 0.000
H19 2.477 4.430 0.000
H20 -2.477 -4.430 0.000
H21 4.615 0.705 0.000
H22 -4.615 -0.705 0.000
H23 4.621 3.185 0.000
H24 -4.621 -3.185 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
N11.28351.42242.27262.38883.52562.49462.73563.67944.68673.74334.11994.20624.92352.54703.81982.71842.42504.53585.63734.63164.79155.28925.9870
N21.28352.27261.42243.52562.38882.73562.49464.68673.67944.11993.74334.92354.20623.81982.54702.42502.71845.63734.53584.79154.63165.98705.2892
C31.42242.27263.56771.39624.66131.39934.15802.41605.93352.41135.54182.78646.30162.13124.69862.13353.77613.39696.80843.39386.19943.86977.3747
C42.27261.42243.56774.66131.39624.15801.39935.93352.41605.54182.41136.30162.78644.69862.13123.77612.13356.80843.39696.19943.39387.37473.8697
C52.38883.52561.39624.66135.88432.41914.93391.39037.07522.78526.30212.40897.25391.08216.03293.38584.27742.14748.01433.86856.77743.39098.2952
C63.52562.38884.66131.39625.88434.93392.41917.07521.39036.30212.78527.25392.40896.03291.08214.27743.38588.01432.14746.77743.86858.29523.3909
C72.49462.73561.39934.15802.41914.93395.07602.79276.30571.38666.41262.41376.94023.38704.65461.08114.91533.87567.02792.14347.20243.39358.0227
C82.73562.49464.15801.39934.93392.41915.07606.30572.79276.41261.38666.94022.41374.65463.38704.91531.08117.02793.87567.20242.14348.02273.3935
C93.67944.68672.41605.93351.39037.07522.79276.30578.32812.41857.68061.39388.59342.16457.08863.87345.66771.08299.22143.39908.16772.15089.6462
C104.68673.67945.93352.41607.07521.39036.30572.79278.32817.68062.41858.59341.39387.08862.16455.66773.87349.22141.08298.16773.39909.64622.1508
C113.74334.11992.41135.54182.78526.30211.38666.41262.41857.68067.76681.39828.32563.86695.95512.16356.15853.40108.37401.08338.51912.15439.4084
C124.11993.74335.54182.41136.30212.78526.41261.38667.68062.41857.76688.32561.39825.95513.86696.15852.16358.37403.40108.51911.08339.40842.1543
C134.20624.92352.78646.30162.40897.25392.41376.94021.39388.59341.39828.32569.06753.40147.05653.40686.47692.15239.38112.15408.94741.083210.1456
C144.92354.20626.30162.78647.25392.40896.94022.41378.59341.39388.32561.39829.06757.05653.40146.47693.40689.38112.15238.94742.154010.14561.0832
H152.54703.81982.13124.69861.08216.03293.38704.65462.16457.08863.86695.95513.40147.05656.36474.25683.81852.50058.09514.95026.27194.30158.0466
H163.81982.54704.69862.13126.03291.08214.65463.38707.08862.16455.95513.86697.05653.40146.36473.81854.25688.09512.50056.27194.95028.04664.3015
H172.71842.42502.13353.77613.38584.27741.08114.91533.87345.66772.16356.15853.40686.47694.25683.81854.98934.95626.27782.50017.05574.30477.5440
H182.42502.71843.77612.13354.27743.38584.91531.08115.66773.87346.15852.16356.47693.40683.81854.25684.98936.27784.95627.05572.50017.54404.3047
H194.53585.63733.39696.80842.14748.01433.87567.02791.08299.22143.40108.37402.15239.38112.50058.09514.95626.277810.15174.29498.75602.479710.4104
H205.63734.53586.80843.39698.01432.14747.02793.87569.22141.08298.37403.40109.38112.15238.09512.50056.27784.956210.15178.75604.294910.41042.4797
H214.63164.79153.39386.19943.86856.77742.14347.20243.39908.16771.08338.51912.15408.94744.95026.27192.50017.05574.29498.75609.33662.479610.0217
H224.79154.63166.19943.39386.77743.86857.20242.14348.16773.39908.51911.08338.94742.15406.27194.95027.05572.50018.75604.29499.336610.02172.4796
H235.28925.98703.86977.37473.39098.29523.39358.02272.15089.64622.15439.40841.083210.14564.30158.04664.30477.54402.479710.41042.479610.021711.2247
H245.98705.28927.37473.86978.29523.39098.02273.39359.64622.15089.40842.154310.14561.08328.04664.30157.54404.304710.41042.479710.02172.479611.2247

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 114.157 N1 C3 C5 115.880
N1 C3 C7 124.270 N2 N1 C3 114.157
N2 C4 C6 115.880 N2 C4 C8 124.270
C3 C5 C9 120.232 C3 C5 H15 118.069
C3 C7 C11 119.890 C3 C7 H17 118.093
C4 C6 C10 120.232 C4 C6 H16 118.069
C4 C8 C12 119.890 C4 C8 H18 118.093
C5 C3 C7 119.850 C5 C9 C13 119.823
C5 C9 H19 120.002 C6 C4 C8 119.850
C6 C10 C14 119.823 C6 C10 H20 120.002
C7 C11 C13 120.163 C7 C11 H21 119.913
C8 C12 C14 120.163 C8 C12 H22 119.913
C9 C5 H15 121.699 C9 C13 C11 120.042
C9 C13 H23 120.001 C10 C6 H16 121.699
C10 C14 C12 120.042 C10 C14 H24 120.001
C11 C7 H17 122.017 C11 C13 H23 119.958
C12 C8 H18 122.017 C12 C14 H24 119.958
C13 C9 H19 120.175 C13 C11 H21 119.924
C14 C10 H20 120.175 C14 C12 H22 119.924
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.354      
2 N -0.354      
3 C 0.217      
4 C 0.217      
5 C -0.185      
6 C -0.185      
7 C -0.184      
8 C -0.184      
9 C -0.230      
10 C -0.230      
11 C -0.230      
12 C -0.230      
13 C -0.211      
14 C -0.211      
15 H 0.239      
16 H 0.239      
17 H 0.251      
18 H 0.251      
19 H 0.229      
20 H 0.229      
21 H 0.230      
22 H 0.230      
23 H 0.229      
24 H 0.229      


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 -64.271 5.457 0.000
y 5.457 -66.674 0.000
z 0.000 0.000 -88.056
Traceless
 xyz
x 13.094 5.457 0.000
y 5.457 9.489 0.000
z 0.000 0.000 -22.584
Polar
3z2-r2-45.167
x2-y22.403
xy5.457
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 31.746 10.486 0.000
y 10.486 28.152 0.000
z 0.000 0.000 4.915


<r2> (average value of r2) Å2
<r2> 1097.232
(<r2>)1/2 33.124