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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-231.777408
Energy at 298.15K-231.783937
HF Energy-231.777408
Nuclear repulsion energy213.412267
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
4/u)
Dep P Dep U
1 A1 3312 3165 2.40      
2 A1 3303 3157 16.74      
3 A1 3260 3116 1.93      
4 A1 1653 1580 2.58      
5 A1 1418 1356 0.43      
6 A1 1217 1163 3.40      
7 A1 1143 1093 3.82      
8 A1 1022 977 0.55      
9 A1 938 896 0.00      
10 A1 797 762 10.17      
11 A1 747 714 2.62      
12 A2 1158 1107 0.00      
13 A2 961 919 0.00      
14 A2 935 894 0.00      
15 A2 788 753 0.00      
16 A2 556 532 0.00      
17 B1 3280 3135 8.55      
18 B1 1143 1093 28.80      
19 B1 1047 1001 0.50      
20 B1 789 754 105.62      
21 B1 668 639 0.02      
22 B1 527 504 14.92      
23 B2 3281 3136 8.27      
24 B2 3260 3116 15.91      
25 B2 1369 1308 7.72      
26 B2 1304 1246 0.78      
27 B2 1231 1177 3.18      
28 B2 1016 971 0.00      
29 B2 882 843 3.11      
30 B2 847 809 14.82      

Unscaled Zero Point Vibrational Energy (zpe) 21924.9 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 20958.0 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
0.24481 0.17483 0.12924

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 0.732 0.000 -1.017
C2 -0.732 0.000 -1.017
C3 0.000 1.079 -0.200
C4 0.000 -1.079 -0.200
C5 0.000 0.672 1.251
C6 0.000 -0.672 1.251
H7 1.507 0.000 -1.767
H8 -1.507 0.000 -1.767
H9 0.000 2.112 -0.525
H10 0.000 -2.112 -0.525
H11 0.000 1.352 2.091
H12 0.000 -1.352 2.091

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46311.53891.53892.47592.47591.07912.36122.28822.28823.46743.4674
C21.46311.53891.53892.47592.47592.36121.07912.28822.28823.46743.4674
C31.53891.53892.15791.50632.27322.42792.42791.08283.20712.30633.3399
C41.53891.53892.15792.27321.50632.42792.42793.20711.08283.33992.3063
C52.47592.47591.50632.27321.34323.43983.43982.28653.30161.08112.1912
C62.47592.47592.27321.50631.34323.43983.43983.30162.28652.19121.0811
H71.07912.36122.42792.42793.43983.43983.01472.87632.87634.35724.3572
H82.36121.07912.42792.42793.43983.43983.01472.87632.87634.35724.3572
H92.28822.28821.08283.20712.28653.30162.87632.87634.22312.72394.3407
H102.28822.28823.20711.08283.30162.28652.87632.87634.22314.34072.7239
H113.46743.46742.30633.33991.08112.19124.35724.35722.72394.34072.7045
H123.46743.46743.33992.30632.19121.08114.35724.35724.34072.72392.7045

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.616 C1 C2 C4 61.616
C1 C2 H8 135.965 C1 C3 C2 56.768
C1 C3 C5 108.789 C1 C3 H9 120.570
C1 C4 C2 56.768 C1 C4 C6 108.789
C1 C4 H10 120.570 C2 C1 C3 61.616
C2 C1 C4 61.616 C2 C1 H7 135.965
C2 C3 C5 108.789 C2 C3 H9 120.570
C2 C4 C6 108.789 C2 C4 H10 120.570
C3 C1 C4 89.031 C3 C1 H7 135.332
C3 C2 C4 89.031 C3 C2 H8 135.332
C3 C5 C6 105.689 C3 C5 H11 125.289
C4 C1 H7 135.332 C4 C2 H8 135.332
C4 C6 C5 105.689 C4 C6 H12 125.289
C5 C3 H9 123.208 C5 C6 H12 129.022
C6 C4 H10 123.208 C6 C5 H11 129.022
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 -0.094      
2 C -0.094      
3 C -0.345      
4 C -0.345      
5 C -0.071      
6 C -0.071      
7 H 0.170      
8 H 0.170      
9 H 0.172      
10 H 0.172      
11 H 0.170      
12 H 0.170      


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 -0.964 0.964
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.138 0.000 0.000
y 0.000 -32.179 0.000
z 0.000 0.000 -32.335
Traceless
 xyz
x -4.881 0.000 0.000
y 0.000 2.558 0.000
z 0.000 0.000 2.323
Polar
3z2-r24.646
x2-y2-4.959
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.485 0.000 0.000
y 0.000 8.440 0.000
z 0.000 0.000 8.099


<r2> (average value of r2) Å2
<r2> 111.296
(<r2>)1/2 10.550