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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-231.876214
Energy at 298.15K-231.882450
HF Energy-231.876214
Nuclear repulsion energy213.358912
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 PBEPBE/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 3178 3149 8.45      
2 A1 3141 3112 15.80      
3 A1 3118 3089 0.14      
4 A1 1574 1560 3.97      
5 A1 1375 1363 0.02      
6 A1 1166 1156 2.65      
7 A1 1081 1071 2.79      
8 A1 965 957 0.31      
9 A1 890 882 0.00      
10 A1 743 737 2.38      
11 A1 667 661 7.88      
12 A2 1073 1064 0.00      
13 A2 876 868 0.00      
14 A2 854 846 0.00      
15 A2 757 750 0.00      
16 A2 529 524 0.00      
17 B1 3119 3091 19.51      
18 B1 1078 1069 27.39      
19 B1 956 947 0.00      
20 B1 742 735 88.63      
21 B1 610 604 1.29      
22 B1 496 492 13.20      
23 B2 3153 3125 6.91      
24 B2 3121 3093 26.21      
25 B2 1293 1281 5.53      
26 B2 1226 1215 3.18      
27 B2 1171 1160 2.51      
28 B2 960 951 0.24      
29 B2 841 833 5.06      
30 B2 802 795 11.33      

Unscaled Zero Point Vibrational Energy (zpe) 20777.6 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20588.6 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 PBEPBE/6-311G**
ABC
0.24566 0.17462 0.12892

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.728 0.000 -1.014
C2 -0.728 0.000 -1.014
C3 0.000 1.077 -0.201
C4 0.000 -1.077 -0.201
C5 0.000 0.673 1.254
C6 0.000 -0.673 1.254
H7 1.493 0.000 -1.790
H8 -1.493 0.000 -1.790
H9 0.000 2.114 -0.543
H10 0.000 -2.114 -0.543
H11 0.000 1.357 2.101
H12 0.000 -1.357 2.101

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45541.53301.53302.47512.47511.08962.35202.28462.28463.47433.4743
C21.45541.53301.53302.47512.47512.35201.08962.28462.28463.47433.4743
C31.53301.53302.15421.51062.27602.43142.43141.09153.20912.31893.3501
C41.53301.53302.15422.27601.51062.43142.43143.20911.09153.35012.3189
C52.47512.47511.51062.27601.34533.45643.45642.30373.31581.08842.1990
C62.47512.47512.27601.51061.34533.45643.45643.31582.30372.19901.0884
H71.08962.35202.43142.43143.45643.45642.98522.87242.87244.38244.3824
H82.35201.08962.43142.43143.45643.45642.98522.87242.87244.38244.3824
H92.28462.28461.09153.20912.30373.31582.87242.87244.22752.74994.3628
H102.28462.28463.20911.09153.31582.30372.87242.87244.22754.36282.7499
H113.47433.47432.31893.35011.08842.19904.38244.38242.74994.36282.7137
H123.47433.47433.35012.31892.19901.08844.38244.38244.36282.74992.7137

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.661 C1 C2 C4 61.661
C1 C2 H8 134.590 C1 C3 C2 56.678
C1 C3 C5 108.821 C1 C3 H9 120.088
C1 C4 C2 56.678 C1 C4 C6 108.821
C1 C4 H10 120.088 C2 C1 C3 61.661
C2 C1 C4 61.661 C2 C1 H7 134.590
C2 C3 C5 108.821 C2 C3 H9 120.088
C2 C4 C6 108.821 C2 C4 H10 120.088
C3 C1 C4 89.276 C3 C1 H7 135.296
C3 C2 C4 89.276 C3 C2 H8 135.296
C3 C5 C6 105.530 C3 C5 H11 125.521
C4 C1 H7 135.296 C4 C2 H8 135.296
C4 C6 C5 105.530 C4 C6 H12 125.521
C5 C3 H9 123.776 C5 C6 H12 128.949
C6 C4 H10 123.776 C6 C5 H11 128.949
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.072      
2 C -0.072      
3 C -0.180      
4 C -0.180      
5 C -0.045      
6 C -0.045      
7 H 0.097      
8 H 0.097      
9 H 0.109      
10 H 0.109      
11 H 0.091      
12 H 0.091      


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 -0.916 0.916
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.613 0.000 0.000
y 0.000 -32.705 0.000
z 0.000 0.000 -33.110
Traceless
 xyz
x -4.705 0.000 0.000
y 0.000 2.656 0.000
z 0.000 0.000 2.049
Polar
3z2-r24.098
x2-y2-4.907
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.572 0.000 0.000
y 0.000 9.273 0.000
z 0.000 0.000 9.406


<r2> (average value of r2) Å2
<r2> 111.834
(<r2>)1/2 10.575