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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G**
 hartrees
Energy at 0K-231.829451
Energy at 298.15K-231.835691
HF Energy-231.829451
Nuclear repulsion energy213.150154
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 PBEPBEultrafine/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 3195 3151 9.02      
2 A1 3157 3114 14.29      
3 A1 3132 3089 0.30      
4 A1 1589 1568 3.57      
5 A1 1389 1370 0.07      
6 A1 1180 1163 1.43      
7 A1 1089 1074 1.71      
8 A1 970 957 0.34      
9 A1 899 886 0.01      
10 A1 751 741 1.78      
11 A1 675 665 6.24      
12 A2 1085 1070 0.00      
13 A2 882 870 0.00      
14 A2 847 836 0.00      
15 A2 765 754 0.00      
16 A2 528 521 0.00      
17 B1 3137 3094 18.94      
18 B1 1092 1077 22.66      
19 B1 965 952 0.06      
20 B1 749 739 73.58      
21 B1 614 606 0.58      
22 B1 501 494 10.15      
23 B2 3170 3127 6.03      
24 B2 3135 3092 26.21      
25 B2 1308 1290 4.22      
26 B2 1241 1224 2.94      
27 B2 1186 1170 2.06      
28 B2 968 955 0.12      
29 B2 844 832 5.31      
30 B2 803 792 9.17      

Unscaled Zero Point Vibrational Energy (zpe) 20923.2 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 20636.6 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 PBEPBEultrafine/6-31G**
ABC
0.24546 0.17413 0.12861

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.728 0.000 -1.016
C2 -0.728 0.000 -1.016
C3 0.000 1.076 -0.202
C4 0.000 -1.076 -0.202
C5 0.000 0.674 1.256
C6 0.000 -0.674 1.256
H7 1.493 0.000 -1.794
H8 -1.493 0.000 -1.794
H9 0.000 2.115 -0.543
H10 0.000 -2.115 -0.543
H11 0.000 1.361 2.103
H12 0.000 -1.361 2.103

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45561.53341.53342.47922.47921.09132.35322.28622.28623.47973.4797
C21.45561.53341.53342.47922.47922.35321.09132.28622.28623.47973.4797
C31.53341.53342.15291.51232.27832.43372.43371.09353.20992.32223.3543
C41.53341.53342.15292.27831.51232.43372.43373.20991.09353.35432.3222
C52.47922.47921.51232.27831.34873.46213.46212.30533.31961.09012.2041
C62.47922.47922.27831.51231.34873.46213.46213.31962.30532.20411.0901
H71.09132.35322.43372.43373.46213.46212.98612.87522.87524.38944.3894
H82.35321.09132.43372.43373.46213.46212.98612.87522.87524.38944.3894
H92.28622.28621.09353.20992.30533.31962.87522.87524.23042.75204.3686
H102.28622.28623.20991.09353.31962.30532.87522.87524.23044.36862.7520
H113.47973.47972.32223.35431.09012.20414.38944.38942.75204.36862.7211
H123.47973.47973.35432.32222.20411.09014.38944.38944.36862.75202.7211

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.665 C1 C2 C4 61.665
C1 C2 H8 134.526 C1 C3 C2 56.670
C1 C3 C5 108.974 C1 C3 H9 120.062
C1 C4 C2 56.670 C1 C4 C6 108.974
C1 C4 H10 120.062 C2 C1 C3 61.665
C2 C1 C4 61.665 C2 C1 H7 134.526
C2 C3 C5 108.974 C2 C3 H9 120.062
C2 C4 C6 108.974 C2 C4 H10 120.062
C3 C1 C4 89.179 C3 C1 H7 135.345
C3 C2 C4 89.179 C3 C2 H8 135.345
C3 C5 C6 105.421 C3 C5 H11 125.564
C4 C1 H7 135.345 C4 C2 H8 135.345
C4 C6 C5 105.421 C4 C6 H12 125.564
C5 C3 H9 123.632 C5 C6 H12 129.015
C6 C4 H10 123.632 C6 C5 H11 129.015
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.054      
2 C -0.054      
3 C -0.194      
4 C -0.194      
5 C -0.047      
6 C -0.047      
7 H 0.102      
8 H 0.102      
9 H 0.101      
10 H 0.101      
11 H 0.093      
12 H 0.093      


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 -0.875 0.875
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.767 0.000 0.000
y 0.000 -32.270 0.000
z 0.000 0.000 -32.431
Traceless
 xyz
x -4.417 0.000 0.000
y 0.000 2.329 0.000
z 0.000 0.000 2.088
Polar
3z2-r24.176
x2-y2-4.498
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.803 0.000 0.000
y 0.000 8.775 0.000
z 0.000 0.000 8.809


<r2> (average value of r2) Å2
<r2> 111.630
(<r2>)1/2 10.565