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

using model chemistry: PBE1PBE/3-21G*

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/3-21G*
 hartrees
Energy at 0K-230.558856
Energy at 298.15K-230.562910
HF Energy-230.558856
Nuclear repulsion energy176.606996
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/3-21G*
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 3175 3048 0.00      
2 Ag 3146 3019 0.00      
3 Ag 2072 1989 0.00      
4 Ag 1534 1472 0.00      
5 Ag 1438 1380 0.00      
6 Ag 1196 1148 0.00      
7 Ag 1048 1006 0.00      
8 Ag 927 890 0.00      
9 Ag 554 531 0.00      
10 Ag 232 223 0.00      
11 Au 3218 3089 4.10      
12 Au 1058 1016 2.26      
13 Au 952 914 55.03      
14 Au 498 478 5.17      
15 Au 350 336 15.64      
16 Au 85 82 0.65      
17 Bg 3218 3089 0.00      
18 Bg 1061 1018 0.00      
19 Bg 926 889 0.00      
20 Bg 699 670 0.00      
21 Bg 316 303 0.00      
22 Bu 3187 3059 7.06      
23 Bu 3146 3020 8.07      
24 Bu 2098 2013 94.25      
25 Bu 1505 1445 1.01      
26 Bu 1319 1266 5.05      
27 Bu 1137 1091 3.80      
28 Bu 928 891 152.51      
29 Bu 553 531 27.73      
30 Bu 123 118 1.10      

Unscaled Zero Point Vibrational Energy (zpe) 20849.7 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 20011.5 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 PBE1PBE/3-21G*
ABC
1.07105 0.04557 0.04451

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.328 0.656 0.000
C2 0.328 -0.656 0.000
C3 0.328 1.793 0.000
C4 -0.328 -1.793 0.000
C5 0.983 2.919 0.000
C6 -0.983 -2.919 0.000
H7 -1.416 0.663 0.000
H8 1.416 -0.663 0.000
H9 1.270 3.412 0.927
H10 1.270 3.412 -0.927
H11 -1.270 -3.412 0.927
H12 -1.270 -3.412 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46761.31252.44982.61473.63471.08862.18713.31753.31754.27794.2779
C21.46762.44981.31253.63472.61472.18711.08864.27794.27793.31753.3175
C31.31252.44983.64621.30224.89102.07882.68652.08972.08975.52365.5236
C42.44981.31253.64624.89101.30222.68652.07885.52365.52362.08972.0897
C52.61473.63471.30224.89106.15973.29373.60751.08851.08856.78346.7834
C63.63472.61474.89101.30226.15973.60753.29376.78346.78341.08851.0885
H71.08862.18712.07882.68653.29373.60753.12773.95403.95404.18174.1817
H82.18711.08862.68652.07883.60753.29373.12774.18174.18173.95403.9540
H93.31754.27792.08975.52361.08856.78343.95404.18171.85397.28167.5139
H103.31754.27792.08975.52361.08856.78343.95404.18171.85397.51397.2816
H114.27793.31755.52362.08976.78341.08854.18173.95407.28167.51391.8539
H124.27793.31755.52362.08976.78341.08854.18173.95407.51397.28161.8539

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 123.478 C1 C2 H8 116.874
C1 C3 C5 179.760 C2 C1 C3 123.478
C2 C1 H7 116.874 C2 C4 C6 179.760
C3 C1 H7 119.648 C3 C5 H9 121.616
C3 C5 H10 121.616 C4 C2 H8 119.648
C4 C6 H11 121.616 C4 C6 H12 121.616
H9 C5 H10 116.768 H11 C6 H12 116.768
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.352      
2 C -0.352      
3 C 0.143      
4 C 0.143      
5 C -0.529      
6 C -0.529      
7 H 0.254      
8 H 0.254      
9 H 0.242      
10 H 0.242      
11 H 0.242      
12 H 0.242      


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 -34.232 3.940 0.000
y 3.940 -29.945 0.000
z 0.000 0.000 -36.494
Traceless
 xyz
x -1.012 3.940 0.000
y 3.940 5.418 0.000
z 0.000 0.000 -4.405
Polar
3z2-r2-8.810
x2-y2-4.287
xy3.940
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.057 6.296 0.000
y 6.296 18.575 0.000
z 0.000 0.000 4.194


<r2> (average value of r2) Å2
<r2> 242.478
(<r2>)1/2 15.572