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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBEultrafine/6-31G*

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/6-31G*
 hartrees
Energy at 0K-231.819695
Energy at 298.15K-231.825908
HF Energy-231.819695
Nuclear repulsion energy213.114387
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/6-31G*
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 3193 3140 10.33      
2 A1 3155 3103 17.54      
3 A1 3132 3081 0.07      
4 A1 1591 1565 3.40      
5 A1 1392 1369 0.04      
6 A1 1183 1164 1.49      
7 A1 1092 1074 1.80      
8 A1 972 956 0.34      
9 A1 899 884 0.01      
10 A1 751 739 1.63      
11 A1 668 657 6.76      
12 A2 1086 1068 0.00      
13 A2 882 867 0.00      
14 A2 841 827 0.00      
15 A2 765 752 0.00      
16 A2 529 520 0.00      
17 B1 3134 3083 21.43      
18 B1 1095 1077 23.35      
19 B1 965 949 0.04      
20 B1 748 736 75.86      
21 B1 611 601 0.52      
22 B1 502 493 10.87      
23 B2 3168 3116 8.09      
24 B2 3136 3084 27.57      
25 B2 1314 1292 4.30      
26 B2 1245 1224 2.92      
27 B2 1190 1170 2.23      
28 B2 968 952 0.10      
29 B2 844 830 5.34      
30 B2 804 791 9.41      

Unscaled Zero Point Vibrational Energy (zpe) 20927.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 20582.1 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/6-31G*
ABC
0.24537 0.17414 0.12856

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.728 0.000 -1.015
C2 -0.728 0.000 -1.015
C3 0.000 1.077 -0.202
C4 0.000 -1.077 -0.202
C5 0.000 0.674 1.256
C6 0.000 -0.674 1.256
H7 1.491 0.000 -1.798
H8 -1.491 0.000 -1.798
H9 0.000 2.116 -0.544
H10 0.000 -2.116 -0.544
H11 0.000 1.361 2.104
H12 0.000 -1.361 2.104

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45581.53331.53332.47872.47871.09272.35242.28682.28683.48023.4802
C21.45581.53331.53332.47872.47872.35241.09272.28682.28683.48023.4802
C31.53331.53332.15371.51252.27872.43482.43481.09443.21132.32323.3557
C41.53331.53332.15372.27871.51252.43482.43483.21131.09443.35572.3232
C52.47872.47871.51252.27871.34893.46453.46452.30673.32111.09112.2052
C62.47872.47872.27871.51251.34893.46453.46453.32112.30672.20521.0911
H71.09272.35242.43482.43483.46453.46452.98112.87592.87594.39294.3929
H82.35241.09272.43482.43483.46453.46452.98112.87592.87594.39294.3929
H92.28682.28681.09443.21132.30673.32112.87592.87594.23232.75394.3711
H102.28682.28683.21131.09443.32112.30672.87592.87594.23234.37112.7539
H113.48023.48022.32323.35571.09112.20524.39294.39292.75394.37112.7226
H123.48023.48023.35572.32322.20521.09114.39294.39294.37112.75392.7226

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.659 C1 C2 C4 61.659
C1 C2 H8 134.263 C1 C3 C2 56.682
C1 C3 C5 108.937 C1 C3 H9 120.058
C1 C4 C2 56.682 C1 C4 C6 108.937
C1 C4 H10 120.058 C2 C1 C3 61.659
C2 C1 C4 61.659 C2 C1 H7 134.263
C2 C3 C5 108.937 C2 C3 H9 120.058
C2 C4 C6 108.937 C2 C4 H10 120.058
C3 C1 C4 89.223 C3 C1 H7 135.336
C3 C2 C4 89.223 C3 C2 H8 135.336
C3 C5 C6 105.429 C3 C5 H11 125.558
C4 C1 H7 135.336 C4 C2 H8 135.336
C4 C6 C5 105.429 C4 C6 H12 125.558
C5 C3 H9 123.676 C5 C6 H12 129.013
C6 C4 H10 123.676 C6 C5 H11 129.013
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.097      
2 C -0.097      
3 C -0.238      
4 C -0.238      
5 C -0.089      
6 C -0.089      
7 H 0.146      
8 H 0.146      
9 H 0.143      
10 H 0.143      
11 H 0.134      
12 H 0.134      


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 -0.882 0.882
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.837 0.000 0.000
y 0.000 -32.212 0.000
z 0.000 0.000 -32.359
Traceless
 xyz
x -4.552 0.000 0.000
y 0.000 2.386 0.000
z 0.000 0.000 2.166
Polar
3z2-r24.331
x2-y2-4.625
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.741 0.000 0.000
y 0.000 8.698 0.000
z 0.000 0.000 8.742


<r2> (average value of r2) Å2
<r2> 111.650
(<r2>)1/2 10.566