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All results from a given calculation for C6H6 (1,2,4,5-Hexatetraene)

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 C2H 1Ag
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-231.862424
Energy at 298.15K-231.866213
HF Energy-231.862424
Nuclear repulsion energy175.630525
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 Ag 3061 3029 0.00      
2 Ag 3037 3005 0.00      
3 Ag 1974 1954 0.00      
4 Ag 1462 1447 0.00      
5 Ag 1359 1345 0.00      
6 Ag 1150 1138 0.00      
7 Ag 1012 1002 0.00      
8 Ag 822 813 0.00      
9 Ag 525 520 0.00      
10 Ag 224 221 0.00      
11 Au 3103 3071 10.71      
12 Au 981 971 0.01      
13 Au 893 884 37.83      
14 Au 472 467 3.44      
15 Au 340 336 11.51      
16 Au 85 84 0.70      
17 Bg 3103 3071 0.00      
18 Bg 983 973 0.00      
19 Bg 852 843 0.00      
20 Bg 655 648 0.00      
21 Bg 302 299 0.00      
22 Bu 3071 3039 8.80      
23 Bu 3037 3005 37.92      
24 Bu 2004 1984 100.03      
25 Bu 1416 1401 0.79      
26 Bu 1237 1224 10.33      
27 Bu 1085 1073 3.67      
28 Bu 822 814 110.93      
29 Bu 530 525 27.20      
30 Bu 119 118 0.85      

Unscaled Zero Point Vibrational Energy (zpe) 19857.0 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 19650.5 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
1.08014 0.04493 0.04392

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.325 0.656 0.000
C2 0.325 -0.656 0.000
C3 0.325 1.807 0.000
C4 -0.325 -1.807 0.000
C5 0.971 2.945 0.000
C6 -0.971 -2.945 0.000
H7 -1.422 0.668 0.000
H8 1.422 -0.668 0.000
H9 1.254 3.448 0.932
H10 1.254 3.448 -0.932
H11 -1.254 -3.448 0.932
H12 -1.254 -3.448 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46431.32132.46332.63013.65911.09712.19163.33973.33974.31014.3101
C21.46432.46331.32133.65912.63012.19161.09714.31014.31013.33973.3397
C31.32132.46333.67181.30884.92562.08492.70722.10352.10355.56555.5655
C42.46331.32133.67184.92561.30882.70722.08495.56555.56552.10352.1035
C52.63013.65911.30884.92566.20223.30293.64131.09621.09626.83306.8330
C63.65912.63014.92561.30886.20223.64133.30296.83306.83301.09621.0962
H71.09712.19162.08492.70723.30293.64133.14153.96923.96924.22364.2236
H82.19161.09712.70722.08493.64133.30293.14154.22364.22363.96923.9692
H93.33974.31012.10355.56551.09626.83303.96924.22361.86437.33767.5708
H103.33974.31012.10355.56551.09626.83303.96924.22361.86437.57087.3376
H114.31013.33975.56552.10356.83301.09624.22363.96927.33767.57081.8643
H124.31013.33975.56552.10356.83301.09624.22363.96927.57087.33761.8643

picture of 1,2,4,5-Hexatetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 124.247 C1 C2 H8 116.931
C1 C3 C5 179.862 C2 C1 C3 124.247
C2 C1 H7 116.931 C2 C4 C6 179.862
C3 C1 H7 118.822 C3 C5 H9 121.752
C3 C5 H10 121.752 C4 C2 H8 118.822
C4 C6 H11 121.752 C4 C6 H12 121.752
H9 C5 H10 116.495 H11 C6 H12 116.495
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 -0.308      
2 C -0.308      
3 C 0.176      
4 C 0.176      
5 C -0.541      
6 C -0.541      
7 H 0.217      
8 H 0.217      
9 H 0.228      
10 H 0.228      
11 H 0.228      
12 H 0.228      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.917 3.412 0.000
y 3.412 -30.899 0.000
z 0.000 0.000 -36.390
Traceless
 xyz
x -1.273 3.412 0.000
y 3.412 4.754 0.000
z 0.000 0.000 -3.481
Polar
3z2-r2-6.962
x2-y2-4.018
xy3.412
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.606 6.107 0.000
y 6.107 21.258 0.000
z 0.000 0.000 5.571


<r2> (average value of r2) Å2
<r2> 245.813
(<r2>)1/2 15.678