return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: B3LYP/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-232.203973
Energy at 298.15K-232.210384
HF Energy-232.203973
Nuclear repulsion energy214.603745
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/aug-cc-pVTZ
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 3240 3134 6.16      
2 A1 3208 3104 11.12      
3 A1 3184 3081 0.43      
4 A1 1614 1561 9.11      
5 A1 1405 1359 0.12      
6 A1 1197 1158 4.06      
7 A1 1117 1081 2.44      
8 A1 988 956 0.16      
9 A1 898 869 0.39      
10 A1 767 742 3.48      
11 A1 700 677 5.04      
12 A2 1124 1087 0.00      
13 A2 930 899 0.00      
14 A2 905 876 0.00      
15 A2 763 739 0.00      
16 A2 546 528 0.00      
17 B1 3189 3085 13.91      
18 B1 1117 1081 29.12      
19 B1 1006 973 0.02      
20 B1 759 734 94.06      
21 B1 637 617 0.40      
22 B1 512 495 12.47      
23 B2 3216 3111 6.15      
24 B2 3186 3083 23.38      
25 B2 1339 1296 6.25      
26 B2 1271 1230 1.64      
27 B2 1204 1165 3.40      
28 B2 982 951 0.36      
29 B2 863 835 2.63      
30 B2 825 798 12.33      

Unscaled Zero Point Vibrational Energy (zpe) 21344.8 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 20651.1 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/aug-cc-pVTZ
ABC
0.24885 0.17645 0.13013

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVTZ

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 2.101 -0.535
H10 0.000 -2.101 -0.535
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
C11.44141.52541.52542.46372.46371.07882.32882.27152.27153.45353.4535
C21.44141.52541.52542.46372.46372.32881.07882.27152.27153.45353.4535
C31.52541.52542.14741.50652.26572.41362.41361.08043.19242.30553.3295
C41.52541.52542.14742.26571.50652.41362.41363.19241.08043.32952.3055
C52.46372.46371.50652.26571.33363.43493.43492.28963.29341.07802.1785
C62.46372.46372.26571.50651.33363.43493.43493.29342.28962.17851.0780
H71.07882.32882.41362.41363.43493.43492.95512.85392.85394.35264.3526
H82.32881.07882.41362.41363.43493.43492.95512.85392.85394.35264.3526
H92.27152.27151.08043.19242.28963.29342.85392.85394.20232.73104.3302
H102.27152.27153.19241.08043.29342.28962.85392.85394.20234.33022.7310
H113.45353.45352.30553.32951.07802.17854.35264.35262.73104.33022.6871
H123.45353.45353.32952.30552.17851.07804.35264.35264.33022.73102.6871

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.805 C1 C2 C4 61.805
C1 C2 H8 134.554 C1 C3 C2 56.390
C1 C3 C5 108.698 C1 C3 H9 120.352
C1 C4 C2 56.390 C1 C4 C6 108.698
C1 C4 H10 120.352 C2 C1 C3 61.805
C2 C1 C4 61.805 C2 C1 H7 134.554
C2 C3 C5 108.698 C2 C3 H9 120.352
C2 C4 C6 108.698 C2 C4 H10 120.352
C3 C1 C4 89.478 C3 C1 H7 135.189
C3 C2 C4 89.478 C3 C2 H8 135.189
C3 C5 C6 105.669 C3 C5 H11 125.445
C4 C1 H7 135.189 C4 C2 H8 135.189
C4 C6 C5 105.669 C4 C6 H12 125.445
C5 C3 H9 123.686 C5 C6 H12 128.886
C6 C4 H10 123.686 C6 C5 H11 128.886
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.771      
2 C -0.771      
3 C -0.058      
4 C -0.058      
5 C -0.629      
6 C -0.629      
7 H 0.496      
8 H 0.496      
9 H 0.566      
10 H 0.566      
11 H 0.397      
12 H 0.397      


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 -0.968 0.968
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.912 0.000 0.000
y 0.000 -33.044 0.000
z 0.000 0.000 -33.904
Traceless
 xyz
x -4.439 0.000 0.000
y 0.000 2.864 0.000
z 0.000 0.000 1.575
Polar
3z2-r23.150
x2-y2-4.868
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.992 0.000 0.000
y 0.000 9.792 0.000
z 0.000 0.000 10.108


<r2> (average value of r2) Å2
<r2> 111.129
(<r2>)1/2 10.542