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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: wB97X-D/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 wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-232.064086
Energy at 298.15K-232.070552
HF Energy-232.064086
Nuclear repulsion energy 
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 wB97X-D/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 3287 3287 7.68      
2 A1 3271 3271 7.26      
3 A1 3219 3219 1.80      
4 A1 1660 1660 3.70      
5 A1 1417 1417 0.22      
6 A1 1197 1197 2.12      
7 A1 1124 1124 2.02      
8 A1 991 991 0.23      
9 A1 927 927 0.02      
10 A1 785 785 3.86      
11 A1 716 716 4.07      
12 A2 1132 1132 0.00      
13 A2 937 937 0.00      
14 A2 911 911 0.00      
15 A2 800 800 0.00      
16 A2 548 548 0.00      
17 B1 3253 3253 10.97      
18 B1 1142 1142 21.90      
19 B1 1017 1017 0.13      
20 B1 784 784 82.80      
21 B1 665 665 0.14      
22 B1 521 521 7.79      
23 B2 3259 3259 5.02      
24 B2 3218 3218 27.70      
25 B2 1346 1346 5.99      
26 B2 1272 1272 2.92      
27 B2 1222 1222 1.44      
28 B2 993 993 0.20      
29 B2 864 864 5.36      
30 B2 824 824 9.94      

Unscaled Zero Point Vibrational Energy (zpe) 21650.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21650.6 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 wB97X-D/6-31G(2df,p)
ABC
0.24922 0.17630 0.13027

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.722 0.000 -1.010
C2 -0.722 0.000 -1.010
C3 0.000 1.071 -0.202
C4 0.000 -1.071 -0.202
C5 0.000 0.666 1.250
C6 0.000 -0.666 1.250
H7 1.481 0.000 -1.777
H8 -1.481 0.000 -1.777
H9 0.000 2.101 -0.537
H10 0.000 -2.101 -0.537
H11 0.000 1.348 2.087
H12 0.000 -1.348 2.087

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44361.52351.52352.46422.46421.07922.33262.27132.27133.45423.4542
C21.44361.52351.52352.46422.46422.33261.07922.27132.27133.45423.4542
C31.52351.52352.14171.50732.26342.41282.41281.08343.18962.30563.3303
C41.52351.52352.14172.26341.50732.41282.41283.18961.08343.33032.3056
C52.46422.46421.50732.26341.33123.43503.43502.29233.29371.08012.1808
C62.46422.46422.26341.50731.33123.43503.43503.29372.29232.18081.0801
H71.07922.33262.41282.41283.43503.43502.96232.85402.85404.35234.3523
H82.33261.07922.41282.41283.43503.43502.96232.85402.85404.35234.3523
H92.27132.27131.08343.18962.29233.29372.85402.85404.20212.73024.3341
H102.27132.27133.18961.08343.29372.29232.85402.85404.20214.33412.7302
H113.45423.45422.30563.33031.08012.18084.35234.35232.73024.33412.6964
H123.45423.45423.33032.30562.18081.08014.35234.35234.33412.73022.6964

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.720 C1 C2 C4 61.720
C1 C2 H8 134.719 C1 C3 C2 56.559
C1 C3 C5 108.788 C1 C3 H9 120.271
C1 C4 C2 56.559 C1 C4 C6 108.788
C1 C4 H10 120.271 C2 C1 C3 61.720
C2 C1 C4 61.720 C2 C1 H7 134.719
C2 C3 C5 108.788 C2 C3 H9 120.271
C2 C4 C6 108.788 C2 C4 H10 120.271
C3 C1 C4 89.317 C3 C1 H7 135.265
C3 C2 C4 89.317 C3 C2 H8 135.265
C3 C5 C6 105.595 C3 C5 H11 125.210
C4 C1 H7 135.265 C4 C2 H8 135.265
C4 C6 C5 105.595 C4 C6 H12 125.210
C5 C3 H9 123.629 C5 C6 H12 129.195
C6 C4 H10 123.629 C6 C5 H11 129.195
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.109      
2 C -0.109      
3 C -0.159      
4 C -0.159      
5 C -0.117      
6 C -0.117      
7 H 0.138      
8 H 0.138      
9 H 0.116      
10 H 0.116      
11 H 0.130      
12 H 0.130      


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 -0.840 0.840
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.451 0.000 0.000
y 0.000 -32.029 0.000
z 0.000 0.000 -32.365
Traceless
 xyz
x -4.253 0.000 0.000
y 0.000 2.379 0.000
z 0.000 0.000 1.875
Polar
3z2-r23.750
x2-y2-4.421
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.984 0.000 0.000
y 0.000 8.753 0.000
z 0.000 0.000 8.580


<r2> (average value of r2) Å2
<r2> 110.263
(<r2>)1/2 10.501