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All results from a given calculation for C6H6 (Fulvene)

using model chemistry: PBEPBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-231.926168
Energy at 298.15K-231.931693
Nuclear repulsion energy199.932495
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/6-311G*
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 3164 3131 5.16      
2 A1 3141 3108 15.23      
3 A1 3070 3039 10.08      
4 A1 1655 1638 1.50      
5 A1 1494 1479 24.42      
6 A1 1415 1401 0.10      
7 A1 1332 1318 25.53      
8 A1 1070 1058 1.88      
9 A1 992 982 1.86      
10 A1 894 884 6.82      
11 A1 662 655 0.11      
12 A2 881 872 0.00      
13 A2 743 735 0.00      
14 A2 654 647 0.00      
15 A2 466 461 0.00      
16 B1 907 898 40.30      
17 B1 867 858 3.40      
18 B1 755 747 50.78      
19 B1 617 611 44.46      
20 B1 198 196 4.88      
21 B2 3158 3126 18.37      
22 B2 3157 3124 13.35      
23 B2 3130 3097 3.58      
24 B2 1572 1556 0.00      
25 B2 1299 1285 0.11      
26 B2 1217 1205 0.34      
27 B2 1072 1061 11.18      
28 B2 940 931 2.62      
29 B2 784 776 0.93      
30 B2 333 329 0.46      

Unscaled Zero Point Vibrational Energy (zpe) 20819.3 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 20602.8 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 PBEPBE/6-311G*
ABC
0.27247 0.12606 0.08619

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

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 2.109
C3 0.000 1.181 -0.124
C4 0.000 -1.181 -0.124
C5 0.000 0.738 -1.410
C6 0.000 -0.738 -1.410
H7 0.000 0.932 2.682
H8 0.000 -0.932 2.682
H9 0.000 2.214 0.226
H10 0.000 -2.214 0.226
H11 0.000 1.356 -2.309
H12 0.000 -1.356 -2.309

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.35101.47421.47422.29062.29062.13762.13762.27692.27693.35433.3543
C21.35102.52632.52633.59603.59601.09371.09372.90682.90684.62234.6223
C31.47422.52632.36211.36062.31002.81723.51251.09013.41262.19273.3487
C41.47422.52632.36212.31001.36063.51252.81723.41261.09013.34872.1927
C52.29063.59601.36062.31001.47534.09704.41982.20313.37421.09142.2786
C62.29063.59602.31001.36061.47534.41984.09703.37422.20312.27861.0914
H72.13761.09372.81723.51254.09704.41981.86332.77133.99115.00995.4911
H82.13761.09373.51252.81724.41984.09701.86333.99112.77135.49115.0099
H92.27692.90681.09013.41262.20313.37422.77133.99114.42732.67614.3781
H102.27692.90683.41261.09013.37422.20313.99112.77134.42734.37812.6761
H113.35434.62232.19273.34871.09142.27865.00995.49112.67614.37812.7119
H123.35434.62233.34872.19272.27861.09145.49115.00994.37812.67612.7119

picture of Fulvene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H7 121.590 C1 C2 H8 121.590
C1 C3 C5 107.741 C1 C3 H9 124.557
C1 C4 C6 107.741 C1 C4 H10 124.557
C2 C1 C3 126.759 C2 C1 C4 126.759
C3 C1 C4 106.482 C3 C5 C6 109.018
C3 C5 H11 126.476 C4 C6 C5 109.018
C4 C6 H12 126.476 C5 C3 H9 127.702
C5 C6 H12 124.506 C6 C4 H10 127.702
C6 C5 H11 124.506 H7 C2 H8 116.821
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.050      
2 C -0.411      
3 C -0.211      
4 C -0.211      
5 C -0.195      
6 C -0.195      
7 H 0.217      
8 H 0.217      
9 H 0.183      
10 H 0.183      
11 H 0.186      
12 H 0.186      


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 0.613 0.613
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.038 0.000 0.000
y 0.000 -32.431 0.000
z 0.000 0.000 -30.240
Traceless
 xyz
x -8.703 0.000 0.000
y 0.000 2.708 0.000
z 0.000 0.000 5.994
Polar
3z2-r211.989
x2-y2-7.607
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.212 0.000 0.000
y 0.000 9.557 0.000
z 0.000 0.000 14.758


<r2> (average value of r2) Å2
<r2> 139.219
(<r2>)1/2 11.799