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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-231.877825
Energy at 298.15K-231.881818
HF Energy-231.877825
Nuclear repulsion energy176.845965
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/6-311G*
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 3163 3032 0.00      
2 Ag 3133 3003 0.00      
3 Ag 2056 1971 0.00      
4 Ag 1517 1454 0.00      
5 Ag 1404 1346 0.00      
6 Ag 1184 1135 0.00      
7 Ag 1049 1006 0.00      
8 Ag 873 837 0.00      
9 Ag 544 522 0.00      
10 Ag 233 223 0.00      
11 Au 3208 3075 6.90      
12 Au 1016 974 0.02      
13 Au 929 890 39.78      
14 Au 491 471 3.46      
15 Au 357 342 13.86      
16 Au 85 81 0.63      
17 Bg 3208 3075 0.00      
18 Bg 1018 976 0.00      
19 Bg 895 857 0.00      
20 Bg 683 655 0.00      
21 Bg 320 307 0.00      
22 Bu 3172 3040 6.88      
23 Bu 3133 3003 24.95      
24 Bu 2079 1992 120.12      
25 Bu 1464 1403 0.78      
26 Bu 1276 1223 11.98      
27 Bu 1120 1073 2.48      
28 Bu 874 837 115.23      
29 Bu 551 528 31.04      
30 Bu 123 118 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 20577.5 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 19723.5 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/6-311G*
ABC
1.08369 0.04562 0.04458

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.325 0.654 0.000
C2 0.325 -0.654 0.000
C3 0.325 1.793 0.000
C4 -0.325 -1.793 0.000
C5 0.972 2.921 0.000
C6 -0.972 -2.921 0.000
H7 -1.413 0.669 0.000
H8 1.413 -0.669 0.000
H9 1.254 3.414 0.927
H10 1.254 3.414 -0.927
H11 -1.254 -3.414 0.927
H12 -1.254 -3.414 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46041.31082.44682.61133.63281.08862.18443.31243.31244.27514.2751
C21.46042.44681.31083.63282.61132.18441.08864.27514.27513.31243.3124
C31.31082.44683.64371.30054.88842.06922.69202.08662.08665.51975.5197
C42.44681.31083.64374.88841.30052.69202.06925.51975.51972.08662.0866
C52.61133.63281.30054.88846.15623.27993.61691.08791.08796.77856.7785
C63.63282.61134.88841.30056.15623.61693.27996.77856.77851.08791.0879
H71.08862.18442.06922.69203.27993.61693.12733.93813.93814.19094.1909
H82.18441.08862.69202.06923.61693.27993.12734.19094.19093.93813.9381
H93.31244.27512.08665.51971.08796.77853.93814.19091.85497.27487.5076
H103.31244.27512.08665.51971.08796.77853.93814.19091.85497.50767.2748
H114.27513.31245.51972.08666.77851.08794.19093.93817.27487.50761.8549
H124.27513.31245.51972.08666.77851.08794.19093.93817.50767.27481.8549

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 123.905 C1 C2 H8 117.208
C1 C3 C5 179.832 C2 C1 C3 123.905
C2 C1 H7 117.208 C2 C4 C6 179.832
C3 C1 H7 118.887 C3 C5 H9 121.512
C3 C5 H10 121.512 C4 C2 H8 118.887
C4 C6 H11 121.512 C4 C6 H12 121.512
H9 C5 H10 116.975 H11 C6 H12 116.975
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.319      
2 C -0.319      
3 C 0.153      
4 C 0.153      
5 C -0.555      
6 C -0.555      
7 H 0.235      
8 H 0.235      
9 H 0.243      
10 H 0.243      
11 H 0.243      
12 H 0.243      


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 -34.684 3.588 0.000
y 3.588 -30.638 0.000
z 0.000 0.000 -36.292
Traceless
 xyz
x -1.219 3.588 0.000
y 3.588 4.850 0.000
z 0.000 0.000 -3.631
Polar
3z2-r2-7.262
x2-y2-4.046
xy3.588
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.447 6.007 0.000
y 6.007 20.202 0.000
z 0.000 0.000 5.414


<r2> (average value of r2) Å2
<r2> 242.334
(<r2>)1/2 15.567