return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-231.862413
Energy at 298.15K-231.866197
HF Energy-231.862413
Nuclear repulsion energy175.634474
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/6-311G*
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 3036 3004 0.00      
3 Ag 1974 1953 0.00      
4 Ag 1462 1446 0.00      
5 Ag 1359 1345 0.00      
6 Ag 1150 1138 0.00      
7 Ag 1012 1002 0.00      
8 Ag 821 813 0.00      
9 Ag 525 519 0.00      
10 Ag 223 221 0.00      
11 Au 3102 3070 10.71      
12 Au 981 971 0.01      
13 Au 892 883 37.80      
14 Au 472 467 3.47      
15 Au 340 336 11.51      
16 Au 84 83 0.70      
17 Bg 3102 3070 0.00      
18 Bg 983 973 0.00      
19 Bg 852 843 0.00      
20 Bg 655 648 0.00      
21 Bg 302 298 0.00      
22 Bu 3070 3038 8.79      
23 Bu 3036 3004 37.95      
24 Bu 2004 1983 100.03      
25 Bu 1416 1401 0.79      
26 Bu 1237 1224 10.28      
27 Bu 1085 1073 3.69      
28 Bu 822 814 110.93      
29 Bu 530 524 27.19      
30 Bu 118 117 0.86      

Unscaled Zero Point Vibrational Energy (zpe) 19852.1 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 19645.7 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/6-311G*
ABC
1.07945 0.04494 0.04393

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.255 3.447 0.932
H10 1.255 3.447 -0.932
H11 -1.255 -3.447 0.932
H12 -1.255 -3.447 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46441.32132.46312.63003.65861.09712.19173.33973.33974.30974.3097
C21.46442.46311.32133.65862.63002.19171.09714.30974.30973.33973.3397
C31.32132.46313.67161.30884.92532.08512.70702.10352.10355.56515.5651
C42.46311.32133.67164.92531.30882.70702.08515.56515.56512.10352.1035
C52.63003.65861.30884.92536.20173.30323.64071.09621.09626.83256.8325
C63.65862.63004.92531.30886.20173.64073.30326.83256.83251.09621.0962
H71.09712.19172.08512.70703.30323.64073.14163.96953.96954.22284.2228
H82.19171.09712.70702.08513.64073.30323.14164.22284.22283.96953.9695
H93.33974.30972.10355.56511.09626.83253.96954.22281.86437.33717.5702
H103.33974.30972.10355.56511.09626.83253.96954.22281.86437.57027.3371
H114.30973.33975.56512.10356.83251.09624.22283.96957.33717.57021.8643
H124.30973.33975.56512.10356.83251.09624.22283.96957.57027.33711.8643

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 124.231 C1 C2 H8 116.933
C1 C3 C5 179.838 C2 C1 C3 124.231
C2 C1 H7 116.933 C2 C4 C6 179.838
C3 C1 H7 118.836 C3 C5 H9 121.752
C3 C5 H10 121.752 C4 C2 H8 118.836
C4 C6 H11 121.752 C4 C6 H12 121.752
H9 C5 H10 116.496 H11 C6 H12 116.496
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 -34.913 3.415 0.000
y 3.415 -30.905 0.000
z 0.000 0.000 -36.389
Traceless
 xyz
x -1.266 3.415 0.000
y 3.415 4.746 0.000
z 0.000 0.000 -3.480
Polar
3z2-r2-6.961
x2-y2-4.008
xy3.415
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.611 6.110 0.000
y 6.110 21.251 0.000
z 0.000 0.000 5.571


<r2> (average value of r2) Å2
<r2> 245.782
(<r2>)1/2 15.677