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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-231.833551
Energy at 298.15K-231.839213
Nuclear repulsion energy198.924643
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 3213 3168 8.12      
2 A1 3184 3140 8.69      
3 A1 3102 3060 6.46      
4 A1 1672 1649 2.69      
5 A1 1505 1484 23.81      
6 A1 1448 1428 0.01      
7 A1 1355 1336 25.15      
8 A1 1101 1086 1.93      
9 A1 1000 986 3.02      
10 A1 902 889 7.06      
11 A1 674 665 0.05      
12 A2 923 910 0.00      
13 A2 765 754 0.00      
14 A2 681 672 0.00      
15 A2 484 478 0.00      
16 B1 950 936 53.20      
17 B1 905 892 2.75      
18 B1 781 770 55.30      
19 B1 632 623 34.47      
20 B1 210 207 4.18      
21 B2 3203 3159 20.49      
22 B2 3195 3151 9.56      
23 B2 3174 3130 2.88      
24 B2 1579 1557 0.03      
25 B2 1315 1297 0.00      
26 B2 1247 1230 0.19      
27 B2 1101 1086 10.73      
28 B2 956 943 1.92      
29 B2 800 789 1.05      
30 B2 340 336 0.55      

Unscaled Zero Point Vibrational Energy (zpe) 21197.2 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 20904.6 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 PBEPBE/6-31G
ABC
0.27002 0.12456 0.08524

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 0.764
C2 0.000 0.000 2.122
C3 0.000 1.188 -0.125
C4 0.000 -1.188 -0.125
C5 0.000 0.742 -1.419
C6 0.000 -0.742 -1.419
H7 0.000 0.931 2.696
H8 0.000 -0.931 2.696
H9 0.000 2.219 0.227
H10 0.000 -2.219 0.227
H11 0.000 1.357 -2.319
H12 0.000 -1.357 -2.319

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.35751.48351.48352.30612.30612.14472.14472.28292.28293.36923.3692
C21.35752.54102.54103.61803.61801.09421.09422.91782.91784.64404.6440
C31.48352.54102.37531.36952.32342.83253.52811.08933.42452.20153.3604
C41.48352.54102.37532.32341.36953.52812.83253.42451.08933.36042.2015
C52.30613.61801.36952.32341.48304.12004.44262.21183.38721.09042.2834
C62.30613.61802.32341.36951.48304.44264.12003.38722.21182.28341.0904
H72.14471.09422.83253.52814.12004.44261.86262.78484.00255.03395.5131
H82.14471.09423.52812.83254.44264.12001.86264.00252.78485.51315.0339
H92.28292.91781.08933.42452.21183.38722.78484.00254.43742.68844.3897
H102.28292.91783.42451.08933.38722.21184.00252.78484.43744.38972.6884
H113.36924.64402.20153.36041.09042.28345.03395.51312.68844.38972.7138
H123.36924.64403.36042.20152.28341.09045.51315.03394.38972.68842.7138

picture of Fulvene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H7 121.669 C1 C2 H8 121.669
C1 C3 C5 107.802 C1 C3 H9 124.361
C1 C4 C6 107.802 C1 C4 H10 124.361
C2 C1 C3 126.814 C2 C1 C4 126.814
C3 C1 C4 106.372 C3 C5 C6 109.012
C3 C5 H11 126.632 C4 C6 C5 109.012
C4 C6 H12 126.632 C5 C3 H9 127.838
C5 C6 H12 124.355 C6 C4 H10 127.838
C6 C5 H11 124.355 H7 C2 H8 116.662
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 0.045      
2 C -0.356      
3 C -0.108      
4 C -0.108      
5 C -0.164      
6 C -0.164      
7 H 0.153      
8 H 0.153      
9 H 0.137      
10 H 0.137      
11 H 0.137      
12 H 0.137      


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 0.661 0.661
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.160 0.000 0.000
y 0.000 -32.182 0.000
z 0.000 0.000 -30.027
Traceless
 xyz
x -8.055 0.000 0.000
y 0.000 2.411 0.000
z 0.000 0.000 5.644
Polar
3z2-r211.289
x2-y2-6.977
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.937 0.000 0.000
y 0.000 8.954 0.000
z 0.000 0.000 14.107


<r2> (average value of r2) Å2
<r2> 140.158
(<r2>)1/2 11.839