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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-231.850580
Energy at 298.15K-231.857041
HF Energy-231.850580
Nuclear repulsion energy214.750259
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3289 3135 8.13      
2 A1 3262 3109 10.73      
3 A1 3228 3077 0.88      
4 A1 1664 1586 3.21      
5 A1 1452 1384 0.03      
6 A1 1226 1169 1.81      
7 A1 1132 1079 2.01      
8 A1 1006 959 0.35      
9 A1 943 899 0.00      
10 A1 783 746 1.99      
11 A1 702 669 6.84      
12 A2 1136 1083 0.00      
13 A2 923 880 0.00      
14 A2 898 856 0.00      
15 A2 818 779 0.00      
16 A2 550 524 0.00      
17 B1 3242 3090 13.80      
18 B1 1148 1094 22.92      
19 B1 1012 964 0.23      
20 B1 787 750 88.00      
21 B1 651 620 1.11      
22 B1 520 496 11.99      
23 B2 3264 3111 6.12      
24 B2 3231 3079 24.39      
25 B2 1365 1301 4.78      
26 B2 1301 1240 4.01      
27 B2 1241 1183 1.46      
28 B2 1006 959 0.07      
29 B2 876 835 7.28      
30 B2 832 793 8.91      

Unscaled Zero Point Vibrational Energy (zpe) 21742.9 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 20723.2 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 PBE1PBE/6-31G**
ABC
0.24940 0.17662 0.13049

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.722 0.000 -1.007
C2 -0.722 0.000 -1.007
C3 0.000 1.068 -0.203
C4 0.000 -1.068 -0.203
C5 0.000 0.668 1.248
C6 0.000 -0.668 1.248
H7 1.480 0.000 -1.782
H8 -1.480 0.000 -1.782
H9 0.000 2.100 -0.542
H10 0.000 -2.100 -0.542
H11 0.000 1.350 2.090
H12 0.000 -1.350 2.090

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44411.51951.51952.46062.46061.08392.33432.26922.26923.45483.4548
C21.44411.51951.51952.46062.46062.33431.08392.26922.26923.45483.4548
C31.51951.51952.13641.50532.26302.41342.41341.08633.18652.31023.3324
C41.51951.51952.13642.26301.50532.41342.41343.18651.08633.33242.3102
C52.46062.46061.50532.26301.33653.43793.43792.29243.29681.08312.1866
C62.46062.46062.26301.50531.33653.43793.43793.29682.29242.18661.0831
H71.08392.33432.41342.41343.43793.43792.95972.85292.85294.35944.3594
H82.33431.08392.41342.41343.43793.43792.95972.85292.85294.35944.3594
H92.26922.26921.08633.18652.29243.29682.85292.85294.20062.73664.3393
H102.26922.26923.18651.08633.29682.29242.85292.85294.20064.33932.7366
H113.45483.45482.31023.33241.08312.18664.35944.35942.73664.33932.6998
H123.45483.45483.33242.31022.18661.08314.35944.35944.33932.73662.6998

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.629 C1 C2 C4 61.629
C1 C2 H8 134.359 C1 C3 C2 56.741
C1 C3 C5 108.870 C1 C3 H9 120.187
C1 C4 C2 56.741 C1 C4 C6 108.870
C1 C4 H10 120.187 C2 C1 C3 61.629
C2 C1 C4 61.629 C2 C1 H7 134.359
C2 C3 C5 108.870 C2 C3 H9 120.187
C2 C4 C6 108.870 C2 C4 H10 120.187
C3 C1 C4 89.331 C3 C1 H7 135.282
C3 C2 C4 89.331 C3 C2 H8 135.282
C3 C5 C6 105.407 C3 C5 H11 125.592
C4 C1 H7 135.282 C4 C2 H8 135.282
C4 C6 C5 105.407 C4 C6 H12 125.592
C5 C3 H9 123.582 C5 C6 H12 129.001
C6 C4 H10 123.582 C6 C5 H11 129.001
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.122      
2 C -0.122      
3 C -0.272      
4 C -0.272      
5 C -0.119      
6 C -0.119      
7 H 0.175      
8 H 0.175      
9 H 0.173      
10 H 0.173      
11 H 0.166      
12 H 0.166      


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 -0.892 0.892
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.809 0.000 0.000
y 0.000 -31.984 0.000
z 0.000 0.000 -32.159
Traceless
 xyz
x -4.738 0.000 0.000
y 0.000 2.500 0.000
z 0.000 0.000 2.238
Polar
3z2-r24.476
x2-y2-4.825
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.601 0.000 0.000
y 0.000 8.494 0.000
z 0.000 0.000 8.327


<r2> (average value of r2) Å2
<r2> 110.209
(<r2>)1/2 10.498