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: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-231.831826
Energy at 298.15K-231.835844
HF Energy-231.831826
Nuclear repulsion energy176.475604
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 PBE1PBE/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 Ag 3187 3028 0.00      
2 Ag 3162 3005 0.00      
3 Ag 2073 1970 0.00      
4 Ag 1531 1455 0.00      
5 Ag 1418 1348 0.00      
6 Ag 1193 1134 0.00      
7 Ag 1059 1007 0.00      
8 Ag 883 839 0.00      
9 Ag 546 519 0.00      
10 Ag 237 226 0.00      
11 Au 3236 3075 5.70      
12 Au 1023 972 0.01      
13 Au 934 888 35.92      
14 Au 492 468 3.11      
15 Au 368 349 9.66      
16 Au 87 82 0.42      
17 Bg 3236 3075 0.00      
18 Bg 1025 974 0.00      
19 Bg 899 855 0.00      
20 Bg 682 648 0.00      
21 Bg 332 316 0.00      
22 Bu 3195 3036 6.80      
23 Bu 3162 3005 19.50      
24 Bu 2095 1991 100.93      
25 Bu 1481 1407 0.36      
26 Bu 1285 1221 12.34      
27 Bu 1130 1074 2.21      
28 Bu 883 839 115.15      
29 Bu 556 528 23.23      
30 Bu 124 118 0.77      

Unscaled Zero Point Vibrational Energy (zpe) 20756.3 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 19724.7 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 PBE1PBE/6-31G*
ABC
1.08033 0.04543 0.04439

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.655 0.000
C2 0.326 -0.655 0.000
C3 0.326 1.796 0.000
C4 -0.326 -1.796 0.000
C5 0.975 2.927 0.000
C6 -0.975 -2.927 0.000
H7 -1.415 0.667 0.000
H8 1.415 -0.667 0.000
H9 1.258 3.422 0.928
H10 1.258 3.422 -0.928
H11 -1.258 -3.422 0.928
H12 -1.258 -3.422 -0.928

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46251.31442.45062.61833.63981.08942.18593.32093.32094.28364.2836
C21.46252.45061.31443.63982.61832.18591.08944.28364.28363.32093.3209
C31.31442.45063.65061.30394.89882.07532.69292.09132.09135.53165.5316
C42.45061.31443.65064.89881.30392.69292.07535.53165.53162.09132.0913
C52.61833.63981.30394.89886.17003.28953.62061.08901.08906.79396.7939
C63.63982.61834.89881.30396.17003.62063.28956.79396.79391.08901.0890
H71.08942.18592.07532.69293.28953.62063.12903.94943.94944.19594.1959
H82.18591.08942.69292.07533.62063.28953.12904.19594.19593.94943.9494
H93.32094.28362.09135.53161.08906.79393.94944.19591.85537.29217.5244
H103.32094.28362.09135.53161.08906.79393.94944.19591.85537.52447.2921
H114.28363.32095.53162.09136.79391.08904.19593.94947.29217.52441.8553
H124.28363.32095.53162.09136.79391.08904.19593.94947.52447.29211.8553

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 123.793 C1 C2 H8 117.113
C1 C3 C5 179.895 C2 C1 C3 123.793
C2 C1 H7 117.113 C2 C4 C6 179.895
C3 C1 H7 119.094 C3 C5 H9 121.587
C3 C5 H10 121.587 C4 C2 H8 119.094
C4 C6 H11 121.587 C4 C6 H12 121.587
H9 C5 H10 116.825 H11 C6 H12 116.825
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.319      
2 C -0.319      
3 C 0.303      
4 C 0.303      
5 C -0.576      
6 C -0.576      
7 H 0.199      
8 H 0.199      
9 H 0.197      
10 H 0.197      
11 H 0.197      
12 H 0.197      


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 -34.019 3.239 0.000
y 3.239 -30.431 0.000
z 0.000 0.000 -35.521
Traceless
 xyz
x -1.043 3.239 0.000
y 3.239 4.340 0.000
z 0.000 0.000 -3.297
Polar
3z2-r2-6.593
x2-y2-3.588
xy3.239
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.660 6.183 0.000
y 6.183 19.512 0.000
z 0.000 0.000 4.876


<r2> (average value of r2) Å2
<r2> 242.931
(<r2>)1/2 15.586