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All results from a given calculation for C6H6 (Fulvene)

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-232.177279
Energy at 298.15K-232.183014
Nuclear repulsion energy201.340291
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 mPW1PW91/6-311G*
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 3261 3112 5.57      
2 A1 3237 3089 12.55      
3 A1 3166 3021 9.99      
4 A1 1730 1651 3.39      
5 A1 1561 1490 32.15      
6 A1 1468 1401 0.28      
7 A1 1384 1321 27.54      
8 A1 1110 1059 2.15      
9 A1 1021 974 2.28      
10 A1 923 881 9.26      
11 A1 683 652 0.06      
12 A2 940 897 0.00      
13 A2 782 747 0.00      
14 A2 691 659 0.00      
15 A2 491 469 0.00      
16 B1 963 919 43.19      
17 B1 927 885 3.01      
18 B1 792 756 57.37      
19 B1 638 609 46.74      
20 B1 206 196 5.06      
21 B2 3255 3106 11.83      
22 B2 3255 3106 16.49      
23 B2 3226 3079 3.28      
24 B2 1644 1569 0.00      
25 B2 1358 1296 0.12      
26 B2 1267 1209 0.36      
27 B2 1112 1062 10.64      
28 B2 974 929 2.50      
29 B2 813 776 1.36      
30 B2 342 327 0.52      

Unscaled Zero Point Vibrational Energy (zpe) 21607.9 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 20622.5 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 mPW1PW91/6-311G*
ABC
0.27558 0.12795 0.08738

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.756
C2 0.000 0.000 2.094
C3 0.000 1.174 -0.125
C4 0.000 -1.174 -0.125
C5 0.000 0.735 -1.399
C6 0.000 -0.735 -1.399
H7 0.000 0.924 2.662
H8 0.000 -0.924 2.662
H9 0.000 2.199 0.219
H10 0.000 -2.199 0.219
H11 0.000 1.348 -2.291
H12 0.000 -1.348 -2.291

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.33831.46771.46772.27642.27642.11822.11822.26362.26363.33123.3312
C21.33832.51052.51053.56933.56931.08451.08452.88982.88984.58724.5872
C31.46772.51052.34841.34772.29492.79783.48831.08113.39082.17273.3243
C41.46772.51052.34842.29491.34773.48832.79783.39081.08113.32432.1727
C52.27643.56931.34772.29491.46924.06504.38632.18243.35031.08232.2653
C62.27643.56932.29491.34771.46924.38634.06503.35032.18242.26531.0823
H72.11821.08452.79783.48834.06504.38631.84812.75533.96494.97055.4486
H82.11821.08453.48832.79784.38634.06501.84813.96492.75535.44864.9705
H92.26362.88981.08113.39082.18243.35032.75533.96494.39812.65034.3450
H102.26362.88983.39081.08113.35032.18243.96492.75534.39814.34502.6503
H113.33124.58722.17273.32431.08232.26534.97055.44862.65034.34502.6956
H123.33124.58723.32432.17272.26531.08235.44864.97054.34502.65032.6956

picture of Fulvene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H7 121.565 C1 C2 H8 121.565
C1 C3 C5 107.830 C1 C3 H9 124.574
C1 C4 C6 107.830 C1 C4 H10 124.574
C2 C1 C3 126.869 C2 C1 C4 126.869
C3 C1 C4 106.262 C3 C5 C6 109.039
C3 C5 H11 126.448 C4 C6 C5 109.039
C4 C6 H12 126.448 C5 C3 H9 127.597
C5 C6 H12 124.513 C6 C4 H10 127.597
C6 C5 H11 124.513 H7 C2 H8 116.870
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.022      
2 C -0.412      
3 C -0.228      
4 C -0.228      
5 C -0.206      
6 C -0.206      
7 H 0.229      
8 H 0.229      
9 H 0.199      
10 H 0.199      
11 H 0.201      
12 H 0.201      


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 0.606 0.606
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.979 0.000 0.000
y 0.000 -32.022 0.000
z 0.000 0.000 -29.766
Traceless
 xyz
x -9.085 0.000 0.000
y 0.000 2.850 0.000
z 0.000 0.000 6.235
Polar
3z2-r212.470
x2-y2-7.957
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.169 0.000 0.000
y 0.000 9.087 0.000
z 0.000 0.000 14.491


<r2> (average value of r2) Å2
<r2> 137.346
(<r2>)1/2 11.719