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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: B3LYP/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.197386
Energy at 298.15K-232.203788
HF Energy-232.197386
Nuclear repulsion energy214.597102
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 B3LYP/6-311+G(3df,2p)
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 3238 3131 6.02      
2 A1 3207 3101 10.71      
3 A1 3181 3076 0.56      
4 A1 1613 1560 9.02      
5 A1 1406 1359 0.12      
6 A1 1198 1158 4.12      
7 A1 1119 1082 2.51      
8 A1 990 957 0.17      
9 A1 899 869 0.40      
10 A1 769 743 3.65      
11 A1 700 677 4.95      
12 A2 1125 1088 0.00      
13 A2 929 898 0.00      
14 A2 905 875 0.00      
15 A2 764 738 0.00      
16 A2 545 527 0.00      
17 B1 3189 3083 13.86      
18 B1 1118 1081 29.33      
19 B1 1008 975 0.02      
20 B1 758 733 94.20      
21 B1 637 616 0.64      
22 B1 511 494 12.88      
23 B2 3214 3108 5.87      
24 B2 3183 3078 23.35      
25 B2 1341 1297 6.27      
26 B2 1272 1230 1.54      
27 B2 1205 1166 3.48      
28 B2 985 952 0.36      
29 B2 863 835 2.96      
30 B2 825 798 12.09      

Unscaled Zero Point Vibrational Energy (zpe) 21347.9 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 20643.4 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 B3LYP/6-311+G(3df,2p)
ABC
0.24879 0.17648 0.13012

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.721 0.000 -1.010
C2 -0.721 0.000 -1.010
C3 0.000 1.074 -0.201
C4 0.000 -1.074 -0.201
C5 0.000 0.667 1.249
C6 0.000 -0.667 1.249
H7 1.478 0.000 -1.779
H8 -1.478 0.000 -1.779
H9 0.000 2.102 -0.536
H10 0.000 -2.102 -0.536
H11 0.000 1.344 2.088
H12 0.000 -1.344 2.088

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44111.52551.52552.46352.46351.07892.32882.27192.27193.45343.4534
C21.44111.52551.52552.46352.46352.32881.07892.27192.27193.45343.4534
C31.52551.52552.14791.50632.26582.41382.41381.08083.19322.30533.3297
C41.52551.52552.14792.26581.50632.41382.41383.19321.08083.32972.3053
C52.46352.46351.50632.26581.33373.43473.43472.28993.29391.07822.1788
C62.46352.46352.26581.50631.33373.43473.43473.29392.28992.17881.0782
H71.07892.32882.41382.41383.43473.43472.95552.85432.85434.35254.3525
H82.32881.07892.41382.41383.43473.43472.95552.85432.85434.35254.3525
H92.27192.27191.08083.19322.28993.29392.85432.85434.20342.73104.3308
H102.27192.27193.19321.08083.29392.28992.85432.85434.20344.33082.7310
H113.45343.45342.30533.32971.07822.17884.35254.35252.73104.33082.6877
H123.45343.45343.32972.30532.17881.07824.35254.35254.33082.73102.6877

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.815 C1 C2 C4 61.815
C1 C2 H8 134.573 C1 C3 C2 56.369
C1 C3 C5 108.688 C1 C3 H9 120.355
C1 C4 C2 56.369 C1 C4 C6 108.688
C1 C4 H10 120.355 C2 C1 C3 61.815
C2 C1 C4 61.815 C2 C1 H7 134.573
C2 C3 C5 108.688 C2 C3 H9 120.355
C2 C4 C6 108.688 C2 C4 H10 120.355
C3 C1 C4 89.495 C3 C1 H7 135.179
C3 C2 C4 89.495 C3 C2 H8 135.179
C3 C5 C6 105.679 C3 C5 H11 125.425
C4 C1 H7 135.179 C4 C2 H8 135.179
C4 C6 C5 105.679 C4 C6 H12 125.425
C5 C3 H9 123.701 C5 C6 H12 128.896
C6 C4 H10 123.701 C6 C5 H11 128.896
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.105      
2 C -0.105      
3 C -0.134      
4 C -0.134      
5 C -0.200      
6 C -0.200      
7 H 0.157      
8 H 0.157      
9 H 0.124      
10 H 0.124      
11 H 0.159      
12 H 0.159      


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 -0.970 0.970
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.966 0.000 0.000
y 0.000 -33.008 0.000
z 0.000 0.000 -33.879
Traceless
 xyz
x -4.522 0.000 0.000
y 0.000 2.915 0.000
z 0.000 0.000 1.607
Polar
3z2-r23.215
x2-y2-4.958
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.943 0.000 0.000
y 0.000 9.739 0.000
z 0.000 0.000 9.994


<r2> (average value of r2) Å2
<r2> 111.132
(<r2>)1/2 10.542