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

using model chemistry: PBEPBE/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-231.891700
Energy at 298.15K-231.895527
HF Energy-231.891700
Nuclear repulsion energy175.987406
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/6-311+G(3df,2p)
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 3058 3033 0.00      
2 Ag 3037 3013 0.00      
3 Ag 1964 1948 0.00      
4 Ag 1450 1438 0.00      
5 Ag 1346 1335 0.00      
6 Ag 1143 1133 0.00      
7 Ag 1009 1001 0.00      
8 Ag 839 832 0.00      
9 Ag 525 521 0.00      
10 Ag 225 223 0.00      
11 Au 3104 3079 2.74      
12 Au 969 961 1.51      
13 Au 893 886 35.47      
14 Au 475 471 2.73      
15 Au 343 340 12.69      
16 Au 84 84 0.74      
17 Bg 3104 3079 0.00      
18 Bg 971 963 0.00      
19 Bg 858 851 0.00      
20 Bg 658 653 0.00      
21 Bg 304 301 0.00      
22 Bu 3068 3043 3.23      
23 Bu 3038 3013 21.55      
24 Bu 1994 1977 131.39      
25 Bu 1404 1392 1.81      
26 Bu 1224 1214 14.00      
27 Bu 1081 1072 3.64      
28 Bu 840 833 100.03      
29 Bu 531 527 33.09      
30 Bu 119 118 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 19828.0 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 19665.4 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/6-311+G(3df,2p)
ABC
1.08351 0.04512 0.04410

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.655 0.000
C2 0.324 -0.655 0.000
C3 0.324 1.803 0.000
C4 -0.324 -1.803 0.000
C5 0.968 2.940 0.000
C6 -0.968 -2.940 0.000
H7 -1.419 0.669 0.000
H8 1.419 -0.669 0.000
H9 1.249 3.439 0.931
H10 1.249 3.439 -0.931
H11 -1.249 -3.439 0.931
H12 -1.249 -3.439 -0.931

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46221.31852.45812.62493.65211.09452.18933.33093.33094.29964.2996
C21.46222.45811.31853.65212.62492.18931.09454.29964.29963.33093.3309
C31.31852.45813.66391.30644.91572.07952.70362.09762.09765.55205.5520
C42.45811.31853.66394.91571.30642.70362.07955.55205.55202.09762.0976
C52.62493.65211.30644.91576.19023.29453.63701.09351.09356.81736.8173
C63.65212.62494.91571.30646.19023.63703.29456.81736.81731.09351.0935
H71.09452.18932.07952.70363.29453.63703.13753.95733.95734.21604.2160
H82.18931.09452.70362.07953.63703.29453.13754.21604.21603.95733.9573
H93.33094.29962.09765.55201.09356.81733.95734.21601.86257.31827.5515
H103.33094.29962.09765.55201.09356.81733.95734.21601.86257.55157.3182
H114.29963.33095.55202.09766.81731.09354.21603.95737.31827.55151.8625
H124.29963.33095.55202.09766.81731.09354.21603.95737.55157.31821.8625

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 124.179 C1 C2 H8 117.079
C1 C3 C5 179.951 C2 C1 C3 124.179
C2 C1 H7 117.079 C2 C4 C6 179.951
C3 C1 H7 118.742 C3 C5 H9 121.611
C3 C5 H10 121.611 C4 C2 H8 118.742
C4 C6 H11 121.611 C4 C6 H12 121.611
H9 C5 H10 116.778 H11 C6 H12 116.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.497      
2 C -0.497      
3 C 0.533      
4 C 0.533      
5 C -0.445      
6 C -0.445      
7 H 0.117      
8 H 0.117      
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 -35.398 3.325 0.000
y 3.325 -31.588 0.000
z 0.000 0.000 -36.746
Traceless
 xyz
x -1.231 3.325 0.000
y 3.325 4.484 0.000
z 0.000 0.000 -3.253
Polar
3z2-r2-6.507
x2-y2-3.810
xy3.325
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.506 5.588 0.000
y 5.588 22.787 0.000
z 0.000 0.000 7.587


<r2> (average value of r2) Å2
<r2> 245.184
(<r2>)1/2 15.658