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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-231.837490
Energy at 298.15K-231.843736
HF Energy-231.837490
Nuclear repulsion energy213.332505
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/6-31G(2df,p)
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 3192 3159 7.63      
2 A1 3154 3121 12.34      
3 A1 3127 3095 0.29      
4 A1 1579 1563 3.67      
5 A1 1378 1364 0.16      
6 A1 1171 1159 1.66      
7 A1 1087 1076 1.70      
8 A1 967 957 0.35      
9 A1 898 888 0.02      
10 A1 749 742 1.71      
11 A1 676 669 6.12      
12 A2 1076 1065 0.00      
13 A2 878 869 0.00      
14 A2 850 841 0.00      
15 A2 762 754 0.00      
16 A2 529 523 0.00      
17 B1 3132 3100 16.72      
18 B1 1088 1077 21.73      
19 B1 962 952 0.01      
20 B1 749 741 70.00      
21 B1 621 615 0.21      
22 B1 500 495 8.03      
23 B2 3166 3133 5.40      
24 B2 3130 3098 25.44      
25 B2 1296 1283 4.90      
26 B2 1224 1212 3.25      
27 B2 1175 1163 2.06      
28 B2 964 954 0.26      
29 B2 842 833 4.98      
30 B2 799 791 9.31      

Unscaled Zero Point Vibrational Energy (zpe) 20859.2 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 20644.4 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 PBEPBE/6-31G(2df,p)
ABC
0.24581 0.17445 0.12881

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.727 0.000 -1.016
C2 -0.727 0.000 -1.016
C3 0.000 1.076 -0.200
C4 0.000 -1.076 -0.200
C5 0.000 0.673 1.255
C6 0.000 -0.673 1.255
H7 1.493 0.000 -1.790
H8 -1.493 0.000 -1.790
H9 0.000 2.113 -0.543
H10 0.000 -2.113 -0.543
H11 0.000 1.361 2.099
H12 0.000 -1.361 2.099

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45361.53351.53352.47742.47741.08922.35092.28442.28443.47563.4756
C21.45361.53351.53352.47742.47742.35091.08922.28442.28443.47563.4756
C31.53351.53352.15291.51062.27572.43182.43181.09213.20822.31683.3506
C41.53351.53352.15292.27571.51062.43182.43183.20821.09213.35062.3168
C52.47742.47741.51062.27571.34573.45743.45742.30403.31611.08852.2015
C62.47742.47742.27571.51061.34573.45743.45743.31612.30402.20151.0885
H71.08922.35092.43182.43183.45743.45742.98602.87242.87244.38204.3820
H82.35091.08922.43182.43183.45743.45742.98602.87242.87244.38204.3820
H92.28442.28441.09213.20822.30403.31612.87242.87244.22692.74694.3644
H102.28442.28443.20821.09213.31612.30402.87242.87244.22694.36442.7469
H113.47563.47562.31683.35061.08852.20154.38204.38202.74694.36442.7212
H123.47563.47563.35062.31682.20151.08854.38204.38204.36442.74692.7212

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.709 C1 C2 C4 61.709
C1 C2 H8 134.709 C1 C3 C2 56.581
C1 C3 C5 108.949 C1 C3 H9 119.995
C1 C4 C2 56.581 C1 C4 C6 108.949
C1 C4 H10 119.995 C2 C1 C3 61.709
C2 C1 C4 61.709 C2 C1 H7 134.709
C2 C3 C5 108.949 C2 C3 H9 119.995
C2 C4 C6 108.949 C2 C4 H10 119.995
C3 C1 C4 89.171 C3 C1 H7 135.335
C3 C2 C4 89.171 C3 C2 H8 135.335
C3 C5 C6 105.497 C3 C5 H11 125.317
C4 C1 H7 135.335 C4 C2 H8 135.335
C4 C6 C5 105.497 C4 C6 H12 125.317
C5 C3 H9 123.767 C5 C6 H12 129.186
C6 C4 H10 123.767 C6 C5 H11 129.186
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.095      
2 C -0.095      
3 C -0.120      
4 C -0.120      
5 C -0.091      
6 C -0.091      
7 H 0.113      
8 H 0.113      
9 H 0.090      
10 H 0.090      
11 H 0.103      
12 H 0.103      


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 -0.839 0.839
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.565 0.000 0.000
y 0.000 -32.347 0.000
z 0.000 0.000 -32.675
Traceless
 xyz
x -4.053 0.000 0.000
y 0.000 2.273 0.000
z 0.000 0.000 1.781
Polar
3z2-r23.561
x2-y2-4.218
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.129 0.000 0.000
y 0.000 8.912 0.000
z 0.000 0.000 9.019


<r2> (average value of r2) Å2
<r2> 111.493
(<r2>)1/2 10.559