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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-232.201676
Energy at 298.15K-232.208089
HF Energy-232.201676
Nuclear repulsion energy214.607667
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 B3LYP/cc-pVTZ
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 3241 3132 7.47      
2 A1 3211 3103 11.58      
3 A1 3185 3079 0.53      
4 A1 1619 1565 5.79      
5 A1 1407 1360 0.12      
6 A1 1199 1159 3.37      
7 A1 1119 1082 2.25      
8 A1 989 956 0.21      
9 A1 900 870 0.12      
10 A1 769 743 3.67      
11 A1 703 679 5.54      
12 A2 1124 1086 0.00      
13 A2 924 894 0.00      
14 A2 903 873 0.00      
15 A2 766 740 0.00      
16 A2 547 528 0.00      
17 B1 3192 3085 14.62      
18 B1 1119 1082 27.23      
19 B1 1008 974 0.01      
20 B1 759 733 90.23      
21 B1 637 615 0.08      
22 B1 512 495 11.41      
23 B2 3217 3109 6.69      
24 B2 3187 3081 24.69      
25 B2 1341 1296 6.24      
26 B2 1273 1230 1.53      
27 B2 1206 1166 2.84      
28 B2 983 950 0.28      
29 B2 863 834 2.63      
30 B2 825 798 12.45      

Unscaled Zero Point Vibrational Energy (zpe) 21362.4 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 20648.9 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 B3LYP/cc-pVTZ
ABC
0.24895 0.17639 0.13012

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.721 0.000 -1.011
C2 -0.721 0.000 -1.011
C3 0.000 1.073 -0.201
C4 0.000 -1.073 -0.201
C5 0.000 0.666 1.250
C6 0.000 -0.666 1.250
H7 1.478 0.000 -1.779
H8 -1.478 0.000 -1.779
H9 0.000 2.101 -0.535
H10 0.000 -2.101 -0.535
H11 0.000 1.344 2.088
H12 0.000 -1.344 2.088

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44131.52531.52532.46422.46421.07872.32882.27142.27143.45383.4538
C21.44131.52531.52532.46422.46422.32881.07872.27142.27143.45383.4538
C31.52531.52532.14681.50692.26542.41352.41351.08053.19192.30563.3294
C41.52531.52532.14682.26541.50692.41352.41353.19191.08053.32942.3056
C52.46422.46421.50692.26541.33303.43513.43512.28993.29311.07802.1781
C62.46422.46422.26541.50691.33303.43513.43513.29312.28992.17811.0780
H71.07872.32882.41352.41353.43513.43512.95562.85392.85394.35264.3526
H82.32881.07872.41352.41353.43513.43512.95562.85392.85394.35264.3526
H92.27142.27141.08053.19192.28993.29312.85392.85394.20202.73084.3301
H102.27142.27143.19191.08053.29312.28992.85392.85394.20204.33012.7308
H113.45383.45382.30563.32941.07802.17814.35264.35262.73084.33012.6874
H123.45383.45383.32942.30562.17811.07804.35264.35264.33012.73082.6874

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.806 C1 C2 C4 61.806
C1 C2 H8 134.584 C1 C3 C2 56.388
C1 C3 C5 108.715 C1 C3 H9 120.349
C1 C4 C2 56.388 C1 C4 C6 108.715
C1 C4 H10 120.349 C2 C1 C3 61.806
C2 C1 C4 61.806 C2 C1 H7 134.584
C2 C3 C5 108.715 C2 C3 H9 120.349
C2 C4 C6 108.715 C2 C4 H10 120.349
C3 C1 C4 89.454 C3 C1 H7 135.199
C3 C2 C4 89.454 C3 C2 H8 135.199
C3 C5 C6 105.666 C3 C5 H11 125.416
C4 C1 H7 135.199 C4 C2 H8 135.199
C4 C6 C5 105.666 C4 C6 H12 125.416
C5 C3 H9 123.671 C5 C6 H12 128.918
C6 C4 H10 123.671 C6 C5 H11 128.918
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.119      
2 C -0.119      
3 C -0.039      
4 C -0.039      
5 C -0.161      
6 C -0.161      
7 H 0.114      
8 H 0.114      
9 H 0.089      
10 H 0.089      
11 H 0.115      
12 H 0.115      


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 -0.910 0.910
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.632 0.000 0.000
y 0.000 -32.902 0.000
z 0.000 0.000 -33.550
Traceless
 xyz
x -4.406 0.000 0.000
y 0.000 2.689 0.000
z 0.000 0.000 1.717
Polar
3z2-r23.434
x2-y2-4.730
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.990 0.000 0.000
y 0.000 9.379 0.000
z 0.000 0.000 9.450


<r2> (average value of r2) Å2
<r2> 110.970
(<r2>)1/2 10.534