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All results from a given calculation for C6H6 (Fulvene)

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 C2V 1A1
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-231.888861
Energy at 298.15K-231.894416
Nuclear repulsion energy199.673850
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 A1 3188 3144 3.69      
2 A1 3164 3120 9.38      
3 A1 3091 3049 5.31      
4 A1 1665 1642 2.41      
5 A1 1506 1486 22.54      
6 A1 1419 1400 0.00      
7 A1 1339 1321 22.56      
8 A1 1075 1061 1.52      
9 A1 998 984 2.27      
10 A1 896 884 5.96      
11 A1 660 651 0.14      
12 A2 899 886 0.00      
13 A2 752 742 0.00      
14 A2 667 657 0.00      
15 A2 470 464 0.00      
16 B1 916 903 35.26      
17 B1 883 871 3.47      
18 B1 771 760 41.98      
19 B1 627 618 24.93      
20 B1 201 198 3.25      
21 B2 3183 3139 1.40      
22 B2 3182 3139 19.28      
23 B2 3153 3110 3.89      
24 B2 1584 1562 0.00      
25 B2 1306 1288 0.10      
26 B2 1221 1204 0.12      
27 B2 1078 1063 9.15      
28 B2 940 927 2.14      
29 B2 778 767 1.37      
30 B2 330 325 0.40      

Unscaled Zero Point Vibrational Energy (zpe) 20969.6 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 20682.3 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
0.27187 0.12570 0.08596

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.759
C2 0.000 0.000 2.113
C3 0.000 1.183 -0.123
C4 0.000 -1.183 -0.123
C5 0.000 0.738 -1.412
C6 0.000 -0.738 -1.412
H7 0.000 0.933 2.685
H8 0.000 -0.933 2.685
H9 0.000 2.215 0.229
H10 0.000 -2.215 0.229
H11 0.000 1.355 -2.313
H12 0.000 -1.355 -2.313

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.35421.47561.47562.29302.29302.14022.14022.27712.27713.35723.3572
C21.35422.52992.52993.60163.60161.09421.09422.90762.90764.62864.6286
C31.47562.52992.36591.36342.31342.81943.51611.09023.41592.19623.3522
C41.47562.52992.36592.31341.36343.51612.81943.41591.09023.35222.1962
C52.29303.60161.36342.31341.47644.10174.42482.20763.37831.09182.2791
C62.29303.60162.31341.36341.47644.42484.10173.37832.20762.27911.0918
H72.14021.09422.81943.51614.10174.42481.86562.77033.99235.01555.4966
H82.14021.09423.51612.81944.42484.10171.86563.99232.77035.49665.0155
H92.27712.90761.09023.41592.20763.37832.77033.99234.42942.68304.3825
H102.27712.90763.41591.09023.37832.20763.99232.77034.42944.38252.6830
H113.35724.62862.19623.35221.09182.27915.01555.49662.68304.38252.7110
H123.35724.62863.35222.19622.27911.09185.49665.01554.38252.68302.7110

picture of Fulvene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H7 121.517 C1 C2 H8 121.517
C1 C3 C5 107.672 C1 C3 H9 124.435
C1 C4 C6 107.672 C1 C4 H10 124.435
C2 C1 C3 126.710 C2 C1 C4 126.710
C3 C1 C4 106.581 C3 C5 C6 109.038
C3 C5 H11 126.533 C4 C6 C5 109.038
C4 C6 H12 126.533 C5 C3 H9 127.894
C5 C6 H12 124.429 C6 C4 H10 127.894
C6 C5 H11 124.429 H7 C2 H8 116.966
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 C 0.121      
2 C -0.303      
3 C -0.108      
4 C -0.108      
5 C -0.113      
6 C -0.113      
7 H 0.124      
8 H 0.124      
9 H 0.092      
10 H 0.092      
11 H 0.095      
12 H 0.095      


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 0.615 0.615
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.728 0.000 0.000
y 0.000 -32.103 0.000
z 0.000 0.000 -30.049
Traceless
 xyz
x -7.652 0.000 0.000
y 0.000 2.286 0.000
z 0.000 0.000 5.367
Polar
3z2-r210.733
x2-y2-6.625
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.295 0.000 0.000
y 0.000 9.192 0.000
z 0.000 0.000 14.240


<r2> (average value of r2) Å2
<r2> 139.134
(<r2>)1/2 11.795