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All results from a given calculation for C6H6 (Fulvene)

using model chemistry: PBEPBE/3-21G

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/3-21G
 hartrees
Energy at 0K-230.603803
Energy at 298.15K-230.609410
Nuclear repulsion energy198.789918
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/3-21G
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 3203 3174 5.30      
2 A1 3176 3147 3.43      
3 A1 3088 3060 3.86      
4 A1 1656 1641 1.87      
5 A1 1484 1471 20.29      
6 A1 1449 1436 0.09      
7 A1 1338 1326 26.99      
8 A1 1101 1091 2.21      
9 A1 965 956 4.41      
10 A1 883 875 7.18      
11 A1 673 667 0.00      
12 A2 913 905 0.00      
13 A2 758 751 0.00      
14 A2 675 669 0.00      
15 A2 481 476 0.00      
16 B1 931 922 53.29      
17 B1 900 892 4.19      
18 B1 759 752 66.54      
19 B1 615 610 38.83      
20 B1 198 196 5.92      
21 B2 3193 3164 9.67      
22 B2 3174 3145 5.06      
23 B2 3167 3138 2.38      
24 B2 1556 1542 0.25      
25 B2 1296 1285 0.03      
26 B2 1230 1219 0.17      
27 B2 1098 1088 11.19      
28 B2 950 942 1.70      
29 B2 800 793 0.71      
30 B2 340 337 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 21023.9 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20832.6 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/3-21G
ABC
0.26828 0.12473 0.08514

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.768
C2 0.000 0.000 2.120
C3 0.000 1.192 -0.126
C4 0.000 -1.192 -0.126
C5 0.000 0.746 -1.418
C6 0.000 -0.746 -1.418
H7 0.000 0.933 2.691
H8 0.000 -0.933 2.691
H9 0.000 2.221 0.227
H10 0.000 -2.221 0.227
H11 0.000 1.358 -2.319
H12 0.000 -1.358 -2.319

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.35231.48931.48932.30932.30932.13812.13812.28602.28603.37183.3718
C21.35232.54232.54233.61563.61561.09431.09432.91862.91864.64174.6417
C31.48932.54232.38301.36682.32862.82893.52861.08813.43072.19923.3626
C41.48932.54232.38302.32861.36683.52862.82893.43071.08813.36262.1992
C52.30933.61561.36682.32861.49154.11344.43902.20923.39201.08902.2883
C62.30933.61562.32861.36681.49154.43904.11343.39202.20922.28831.0890
H72.13811.09432.82893.52864.11344.43901.86682.78094.00325.02795.5090
H82.13811.09433.52862.82894.43904.11341.86684.00322.78095.50905.0279
H92.28602.91861.08813.43072.20923.39202.78094.00324.44212.68764.3915
H102.28602.91863.43071.08813.39202.20924.00322.78094.44214.39152.6876
H113.37184.64172.19923.36261.08902.28835.02795.50902.68764.39152.7154
H123.37184.64173.36262.19922.28831.08905.50905.02794.39152.68762.7154

picture of Fulvene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H7 121.469 C1 C2 H8 121.469
C1 C3 C5 107.831 C1 C3 H9 124.243
C1 C4 C6 107.831 C1 C4 H10 124.243
C2 C1 C3 126.865 C2 C1 C4 126.865
C3 C1 C4 106.270 C3 C5 C6 109.035
C3 C5 H11 126.776 C4 C6 C5 109.035
C4 C6 H12 126.776 C5 C3 H9 127.927
C5 C6 H12 124.189 C6 C4 H10 127.927
C6 C5 H11 124.189 H7 C2 H8 117.061
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.002      
2 C -0.407      
3 C -0.185      
4 C -0.185      
5 C -0.203      
6 C -0.203      
7 H 0.213      
8 H 0.213      
9 H 0.188      
10 H 0.188      
11 H 0.192      
12 H 0.192      


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 0.680 0.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.278 0.000 0.000
y 0.000 -31.700 0.000
z 0.000 0.000 -29.449
Traceless
 xyz
x -9.704 0.000 0.000
y 0.000 3.164 0.000
z 0.000 0.000 6.540
Polar
3z2-r213.080
x2-y2-8.578
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.427 0.000 0.000
y 0.000 8.529 0.000
z 0.000 0.000 13.507


<r2> (average value of r2) Å2
<r2> 140.280
(<r2>)1/2 11.844