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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBEultrafine/6-311G*

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/6-311G*
 hartrees
Energy at 0K-231.864507
Energy at 298.15K-231.870700
HF Energy-231.864507
Nuclear repulsion energy213.334428
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/6-311G*
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 3171 3138 12.16      
2 A1 3134 3101 23.55      
3 A1 3113 3081 0.03      
4 A1 1576 1560 3.73      
5 A1 1378 1363 0.01      
6 A1 1169 1157 2.62      
7 A1 1084 1072 3.01      
8 A1 967 957 0.27      
9 A1 888 879 0.00      
10 A1 743 736 2.03      
11 A1 653 646 8.71      
12 A2 1073 1062 0.00      
13 A2 873 864 0.00      
14 A2 833 825 0.00      
15 A2 756 749 0.00      
16 A2 529 524 0.00      
17 B1 3111 3078 25.99      
18 B1 1082 1071 28.08      
19 B1 952 942 0.01      
20 B1 737 729 93.38      
21 B1 600 593 1.20      
22 B1 496 491 14.93      
23 B2 3146 3113 12.70      
24 B2 3118 3085 31.52      
25 B2 1299 1286 5.53      
26 B2 1232 1219 3.45      
27 B2 1176 1164 2.55      
28 B2 960 950 0.18      
29 B2 840 831 5.05      
30 B2 803 795 11.70      

Unscaled Zero Point Vibrational Energy (zpe) 20746.2 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 20530.4 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 PBEPBEultrafine/6-311G*
ABC
0.24563 0.17466 0.12891

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.729 0.000 -1.012
C2 -0.729 0.000 -1.012
C3 0.000 1.077 -0.202
C4 0.000 -1.077 -0.202
C5 0.000 0.673 1.254
C6 0.000 -0.673 1.254
H7 1.485 0.000 -1.798
H8 -1.485 0.000 -1.798
H9 0.000 2.115 -0.545
H10 0.000 -2.115 -0.545
H11 0.000 1.356 2.103
H12 0.000 -1.356 2.103

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45701.53261.53262.47372.47371.09102.34932.28502.28503.47463.4746
C21.45701.53261.53262.47372.47372.34931.09102.28502.28503.47463.4746
C31.53261.53262.15491.51082.27642.43232.43231.09243.21052.32103.3515
C41.53261.53262.15492.27641.51082.43232.43233.21051.09243.35152.3210
C52.47372.47371.51082.27641.34553.46033.46032.30523.31721.08972.1994
C62.47372.47372.27641.51081.34553.46033.46033.31722.30522.19941.0897
H71.09102.34932.43232.43233.46033.46032.97102.87222.87224.38874.3887
H82.34931.09102.43232.43233.46033.46032.97102.87222.87224.38874.3887
H92.28502.28501.09243.21052.30523.31722.87222.87224.22932.75354.3652
H102.28502.28503.21051.09243.31722.30522.87222.87224.22934.36522.7535
H113.47463.47462.32103.35151.08972.19944.38874.38872.75354.36522.7128
H123.47463.47463.35152.32102.19941.08974.38874.38874.36522.75352.7128

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.618 C1 C2 C4 61.618
C1 C2 H8 133.935 C1 C3 C2 56.764
C1 C3 C5 108.741 C1 C3 H9 120.095
C1 C4 C2 56.764 C1 C4 C6 108.741
C1 C4 H10 120.095 C2 C1 C3 61.618
C2 C1 C4 61.618 C2 C1 H7 133.935
C2 C3 C5 108.741 C2 C3 H9 120.095
C2 C4 C6 108.741 C2 C4 H10 120.095
C3 C1 C4 89.341 C3 C1 H7 135.295
C3 C2 C4 89.341 C3 C2 H8 135.295
C3 C5 C6 105.539 C3 C5 H11 125.604
C4 C1 H7 135.295 C4 C2 H8 135.295
C4 C6 C5 105.539 C4 C6 H12 125.604
C5 C3 H9 123.835 C5 C6 H12 128.857
C6 C4 H10 123.835 C6 C5 H11 128.857
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.155      
2 C -0.155      
3 C -0.272      
4 C -0.272      
5 C -0.136      
6 C -0.136      
7 H 0.182      
8 H 0.182      
9 H 0.196      
10 H 0.196      
11 H 0.184      
12 H 0.184      


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 -0.923 0.923
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.810 0.000 0.000
y 0.000 -32.604 0.000
z 0.000 0.000 -32.975
Traceless
 xyz
x -5.020 0.000 0.000
y 0.000 2.789 0.000
z 0.000 0.000 2.232
Polar
3z2-r24.464
x2-y2-5.206
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.496 0.000 0.000
y 0.000 9.190 0.000
z 0.000 0.000 9.347


<r2> (average value of r2) Å2
<r2> 111.845
(<r2>)1/2 10.576