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All results from a given calculation for C12H10N2 (azobenzene)

using model chemistry: PBEPBEultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-572.086814
Energy at 298.15K-572.097922
HF Energy-572.086814
Nuclear repulsion energy745.635654
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 PBEPBEultrafine/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3147 3129 0.00      
2 Ag 3139 3121 0.00      
3 Ag 3129 3111 0.00      
4 Ag 3119 3101 0.00      
5 Ag 3108 3090 0.00      
6 Ag 1609 1599 0.00      
7 Ag 1592 1582 0.00      
8 Ag 1486 1478 0.00      
9 Ag 1450 1442 0.00      
10 Ag 1425 1417 0.00      
11 Ag 1382 1374 0.00      
12 Ag 1277 1270 0.00      
13 Ag 1177 1170 0.00      
14 Ag 1134 1128 0.00      
15 Ag 1122 1115 0.00      
16 Ag 1057 1051 0.00      
17 Ag 1015 1010 0.00      
18 Ag 985 979 0.00      
19 Ag 914 908 0.00      
20 Ag 659 655 0.00      
21 Ag 601 597 0.00      
22 Ag 299 297 0.00      
23 Ag 218 217 0.00      
24 Au 984 978 0.38      
25 Au 965 960 0.00      
26 Au 930 925 5.30      
27 Au 835 831 0.01      
28 Au 781 776 38.33      
29 Au 685 681 59.68      
30 Au 541 538 9.33      
31 Au 402 400 0.00      
32 Au 295 294 0.56      
33 Au 60 60 1.20      
34 Au 25 25 0.07      
35 Bg 983 978 0.00      
36 Bg 966 960 0.00      
37 Bg 925 920 0.00      
38 Bg 836 832 0.00      
39 Bg 761 757 0.00      
40 Bg 681 677 0.00      
41 Bg 475 472 0.00      
42 Bg 406 403 0.00      
43 Bg 243 242 0.00      
44 Bg 104 104 0.00      
45 Bu 3147 3129 13.73      
46 Bu 3139 3120 39.13      
47 Bu 3129 3111 29.32      
48 Bu 3119 3101 15.79      
49 Bu 3108 3090 4.98      
50 Bu 1606 1597 5.49      
51 Bu 1587 1578 3.53      
52 Bu 1464 1456 7.27      
53 Bu 1437 1428 14.07      
54 Bu 1378 1370 5.59      
55 Bu 1272 1265 2.09      
56 Bu 1232 1225 25.69      
57 Bu 1134 1128 0.33      
58 Bu 1124 1118 28.85      
59 Bu 1062 1056 19.56      
60 Bu 1013 1008 14.77      
61 Bu 983 978 4.95      
62 Bu 819 814 0.79      
63 Bu 608 604 0.74      
64 Bu 527 524 5.31      
65 Bu 514 511 23.37      
66 Bu 86 85 1.71      

Unscaled Zero Point Vibrational Energy (zpe) 40706.9 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 40470.8 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 PBEPBEultrafine/cc-pVDZ
ABC
0.08992 0.00968 0.00874

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.010 0.636 0.000
N2 0.010 -0.636 0.000
C3 1.276 1.239 0.000
C4 -1.276 -1.239 0.000
C5 1.284 2.649 0.000
C6 -1.284 -2.649 0.000
C7 2.499 0.529 0.000
C8 -2.499 -0.529 0.000
C9 2.499 3.348 0.000
C10 -2.499 -3.348 0.000
C11 3.706 1.231 0.000
C12 -3.706 -1.231 0.000
C13 3.712 2.640 0.000
C14 -3.712 -2.640 0.000
H15 0.316 3.169 0.000
H16 -0.316 -3.169 0.000
H17 2.462 -0.569 0.000
H18 -2.462 0.569 0.000
H19 2.501 4.447 0.000
H20 -2.501 -4.447 0.000
H21 4.659 0.680 0.000
H22 -4.659 -0.680 0.000
H23 4.667 3.185 0.000
H24 -4.667 -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
N11.27311.41972.26242.39293.52412.51112.74823.69384.69763.76344.14124.22664.94352.55383.81822.74992.45264.56355.66114.66914.83205.32646.0245
N21.27312.26241.41973.52412.39292.74822.51114.69763.69384.14123.76344.94354.22663.81822.55382.45262.74995.66114.56354.83204.66916.02455.3264
C31.41972.26243.55621.41054.65501.41434.16782.43805.93982.43065.56042.81036.31812.15634.68662.16203.79683.43456.82573.42916.23723.91037.4086
C42.26241.41973.55624.65501.41054.16781.41435.93982.43805.56042.43066.31812.81034.68662.15633.79682.16206.82573.43456.23723.42917.40863.9103
C52.39293.52411.41054.65505.88802.44364.94071.40107.09042.80676.32142.42737.27561.09966.03453.42684.28472.17098.04273.90706.81243.42508.3342
C63.52412.39294.65501.41055.88804.94072.44367.09041.40106.32142.80677.27562.42736.03451.09964.28473.42688.04272.17096.81243.90708.33423.4250
C72.51112.74821.41434.16782.44364.94075.10832.81906.32481.39676.44982.43496.97223.42644.64731.09844.96063.91877.05372.16557.25923.42908.0712
C82.74822.51114.16781.41434.94072.44365.10836.32482.81906.44981.39676.97222.43494.64733.42644.96061.09847.05373.91877.25922.16558.07123.4290
C93.69384.69762.43805.93981.40107.09042.81906.32488.35482.43707.71141.40428.62682.19057.09893.91695.68561.09979.26043.43248.21332.17449.6968
C104.69763.69385.93982.43807.09041.40106.32482.81908.35487.71142.43708.62681.40427.09892.19055.68563.91699.26041.09978.21333.43249.69682.1744
C113.76344.14122.43065.56042.80676.32141.39676.44982.43707.71147.81061.40928.36723.90585.96142.18836.20333.43518.41221.10038.58082.17779.4665
C124.14123.76345.56042.43066.32142.80676.44981.39677.71142.43707.81068.36721.40925.96143.90586.20332.18838.41223.43518.58081.10039.46652.1777
C134.22664.94352.81036.31812.42737.27562.43496.97221.40428.62681.40928.36729.10963.43717.06893.44406.51142.17569.42452.17679.00521.100010.2047
C144.94354.22666.31812.81037.27562.42736.97222.43498.62681.40428.36721.40929.10967.06893.43716.51143.44409.42452.17569.00522.176710.20471.1000
H152.55383.81822.15634.68661.09966.03453.42644.64732.19057.09893.90585.96143.43717.06896.37034.31073.80462.53128.12075.00616.29034.35168.0752
H163.81822.55384.68662.15636.03451.09964.64733.42647.09892.19055.96143.90587.06893.43716.37033.80464.31078.12072.53126.29035.00618.07524.3516
H172.74992.45262.16203.79683.42684.28471.09844.96063.91695.68562.18836.20333.44406.51144.31073.80465.05315.01666.29792.52787.12154.35417.5936
H182.45262.74993.79682.16204.28473.42684.96061.09845.68563.91696.20332.18836.51143.44403.80464.31075.05316.29795.01667.12152.52787.59364.3541
H194.56355.66113.43456.82572.17098.04273.91877.05371.09979.26043.43518.41222.17569.42452.53128.12075.01666.297910.20424.34168.80632.507510.4704
H205.66114.56356.82573.43458.04272.17097.05373.91879.26041.09978.41223.43519.42452.17568.12072.53126.29795.016610.20428.80634.341610.47042.5075
H214.66914.83203.42916.23723.90706.81242.16557.25923.43248.21331.10038.58082.17679.00525.00616.29032.52787.12154.34168.80639.41682.504810.0955
H224.83204.66916.23723.42916.81243.90707.25922.16558.21333.43248.58081.10039.00522.17676.29035.00617.12152.52788.80634.34169.416810.09552.5048
H235.32646.02453.91037.40863.42508.33423.42908.07122.17449.69682.17779.46651.100010.20474.35168.07524.35417.59362.507510.47042.504810.095511.3008
H246.02455.32647.40863.91038.33423.42508.07123.42909.69682.17449.46652.177710.20471.10008.07524.35167.59364.354110.47042.507510.09552.504811.3008

picture of azobenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 N2 C4 114.208 N1 C3 C5 115.451
N1 C3 C7 124.767 N2 N1 C3 114.208
N2 C4 C6 115.451 N2 C4 C8 124.767
C3 C5 C9 120.259 C3 C5 H15 117.892
C3 C7 C11 119.689 C3 C7 H17 118.191
C4 C6 C10 120.259 C4 C6 H16 117.892
C4 C8 C12 119.689 C4 C8 H18 118.191
C5 C3 C7 119.782 C5 C9 C13 119.832
C5 C9 H19 119.996 C6 C4 C8 119.782
C6 C10 C14 119.832 C6 C10 H20 119.996
C7 C11 C13 120.396 C7 C11 H21 119.803
C8 C12 C14 120.396 C8 C12 H22 119.803
C9 C5 H15 121.849 C9 C13 C11 120.042
C9 C13 H23 120.036 C10 C6 H16 121.849
C10 C14 C12 120.042 C10 C14 H24 120.036
C11 C7 H17 122.120 C11 C13 H23 119.922
C12 C8 H18 122.120 C12 C14 H24 119.922
C13 C9 H19 120.172 C13 C11 H21 119.800
C14 C10 H20 120.172 C14 C12 H22 119.800
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.155      
2 N -0.155      
3 C 0.033      
4 C 0.033      
5 C 0.047      
6 C 0.047      
7 C 0.064      
8 C 0.064      
9 C 0.035      
10 C 0.035      
11 C 0.031      
12 C 0.031      
13 C 0.030      
14 C 0.030      
15 H -0.023      
16 H -0.023      
17 H -0.019      
18 H -0.019      
19 H -0.015      
20 H -0.015      
21 H -0.013      
22 H -0.013      
23 H -0.015      
24 H -0.015      


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 -66.936 5.142 0.000
y 5.142 -69.525 0.000
z 0.000 0.000 -85.671
Traceless
 xyz
x 10.661 5.142 0.000
y 5.142 6.778 0.000
z 0.000 0.000 -17.440
Polar
3z2-r2-34.880
x2-y22.589
xy5.142
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 38.226 12.817 0.000
y 12.817 32.676 0.000
z 0.000 0.000 7.703


<r2> (average value of r2) Å2
<r2> 1106.846
(<r2>)1/2 33.269