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: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-231.830761
Energy at 298.15K-231.834585
HF Energy-231.830761
Nuclear repulsion energy175.689326
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/6-31G(2df,p)
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 3074 3042 0.00      
2 Ag 3053 3021 0.00      
3 Ag 1986 1965 0.00      
4 Ag 1456 1441 0.00      
5 Ag 1350 1336 0.00      
6 Ag 1148 1136 0.00      
7 Ag 1007 996 0.00      
8 Ag 831 822 0.00      
9 Ag 527 521 0.00      
10 Ag 225 223 0.00      
11 Au 3122 3090 4.64      
12 Au 970 960 0.39      
13 Au 900 891 27.99      
14 Au 473 468 2.45      
15 Au 348 344 7.24      
16 Au 87 86 0.46      
17 Bg 3122 3090 0.00      
18 Bg 972 962 0.00      
19 Bg 859 850 0.00      
20 Bg 658 651 0.00      
21 Bg 312 308 0.00      
22 Bu 3083 3051 6.32      
23 Bu 3053 3022 22.40      
24 Bu 2016 1995 88.79      
25 Bu 1408 1394 0.44      
26 Bu 1225 1212 11.36      
27 Bu 1085 1074 2.28      
28 Bu 832 823 89.11      
29 Bu 530 525 21.79      
30 Bu 118 117 0.66      

Unscaled Zero Point Vibrational Energy (zpe) 19913.6 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 19708.4 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/6-31G(2df,p)
ABC
1.08252 0.04495 0.04394

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.656 0.000
C2 0.324 -0.656 0.000
C3 0.324 1.807 0.000
C4 -0.324 -1.807 0.000
C5 0.969 2.945 0.000
C6 -0.969 -2.945 0.000
H7 -1.421 0.666 0.000
H8 1.421 -0.666 0.000
H9 1.251 3.448 0.932
H10 1.251 3.448 -0.932
H11 -1.251 -3.448 0.932
H12 -1.251 -3.448 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46381.32092.46292.62903.65851.09662.18943.33853.33854.30954.3095
C21.46382.46291.32093.65852.62902.18941.09664.30954.30953.33853.3385
C31.32092.46293.67141.30814.92482.08502.70502.10262.10265.56465.5646
C42.46291.32093.67144.92481.30812.70502.08505.56465.56462.10262.1026
C52.62903.65851.30814.92486.20083.30233.63931.09591.09596.83166.8316
C63.65852.62904.92481.30816.20083.63933.30236.83166.83161.09591.0959
H71.09662.18942.08502.70503.30233.63933.13833.96853.96854.22174.2217
H82.18941.09662.70502.08503.63933.30233.13834.22174.22173.96853.9685
H93.33854.30952.10265.56461.09596.83163.96854.22171.86357.33627.5692
H103.33854.30952.10265.56461.09596.83163.96854.22171.86357.56927.3362
H114.30953.33855.56462.10266.83161.09594.22173.96857.33627.56921.8635
H124.30953.33855.56462.10266.83161.09594.22173.96857.56927.33621.8635

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 124.286 C1 C2 H8 116.815
C1 C3 C5 179.898 C2 C1 C3 124.286
C2 C1 H7 116.815 C2 C4 C6 179.898
C3 C1 H7 118.899 C3 C5 H9 121.763
C3 C5 H10 121.763 C4 C2 H8 118.899
C4 C6 H11 121.763 C4 C6 H12 121.763
H9 C5 H10 116.474 H11 C6 H12 116.474
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.322      
2 C -0.322      
3 C 0.409      
4 C 0.409      
5 C -0.508      
6 C -0.508      
7 H 0.129      
8 H 0.129      
9 H 0.146      
10 H 0.146      
11 H 0.146      
12 H 0.146      


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 -34.139 2.983 0.000
y 2.983 -30.751 0.000
z 0.000 0.000 -35.391
Traceless
 xyz
x -1.067 2.983 0.000
y 2.983 4.013 0.000
z 0.000 0.000 -2.946
Polar
3z2-r2-5.891
x2-y2-3.387
xy2.983
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.286 5.968 0.000
y 5.968 20.806 0.000
z 0.000 0.000 5.627


<r2> (average value of r2) Å2
<r2> 245.310
(<r2>)1/2 15.662