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

using model chemistry: PBEPBE/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 PBEPBE/6-31G*
 hartrees
Energy at 0K-231.812606
Energy at 298.15K-231.816440
HF Energy-231.812606
Nuclear repulsion energy175.205664
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*
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 3083 3039 0.00      
2 Ag 3063 3019 0.00      
3 Ag 1990 1961 0.00      
4 Ag 1476 1455 0.00      
5 Ag 1374 1354 0.00      
6 Ag 1159 1142 0.00      
7 Ag 1023 1008 0.00      
8 Ag 829 817 0.00      
9 Ag 527 520 0.00      
10 Ag 230 227 0.00      
11 Au 3128 3083 9.12      
12 Au 988 974 0.01      
13 Au 899 886 32.66      
14 Au 474 467 2.79      
15 Au 356 351 7.77      
16 Au 88 86 0.47      
17 Bg 3128 3083 0.00      
18 Bg 991 976 0.00      
19 Bg 856 844 0.00      
20 Bg 655 646 0.00      
21 Bg 319 314 0.00      
22 Bu 3092 3047 8.56      
23 Bu 3063 3019 31.37      
24 Bu 2020 1991 80.70      
25 Bu 1434 1413 0.47      
26 Bu 1245 1227 10.81      
27 Bu 1094 1079 3.21      
28 Bu 830 818 107.82      
29 Bu 537 529 20.21      
30 Bu 121 119 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 20033.7 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 19747.3 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*
ABC
1.07552 0.04472 0.04371

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.657 0.000
C2 0.326 -0.657 0.000
C3 0.326 1.810 0.000
C4 -0.326 -1.810 0.000
C5 0.974 2.952 0.000
C6 -0.974 -2.952 0.000
H7 -1.425 0.665 0.000
H8 1.425 -0.665 0.000
H9 1.258 3.457 0.933
H10 1.258 3.457 -0.933
H11 -1.258 -3.457 0.933
H12 -1.258 -3.457 -0.933

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46681.32552.46722.63833.66691.09822.19403.34973.34974.31964.3196
C21.46682.46721.32553.66692.63832.19401.09824.31964.31963.34973.3497
C31.32552.46723.67921.31284.93722.09212.70842.10922.10925.57895.5789
C42.46721.32553.67924.93721.31282.70842.09215.57895.57892.10922.1092
C52.63833.66691.31284.93726.21783.31403.64581.09791.09796.85056.8505
C63.66692.63834.93721.31286.21783.64583.31406.85056.85051.09791.0979
H71.09822.19402.09212.70843.31403.64583.14463.98233.98234.22964.2296
H82.19401.09822.70842.09213.64583.31403.14464.22964.22963.98233.9823
H93.34974.31962.10925.57891.09796.85053.98234.22961.86577.35717.5900
H103.34974.31962.10925.57891.09796.85053.98234.22961.86577.59007.3571
H114.31963.34975.57892.10926.85051.09794.22963.98237.35717.59001.8657
H124.31963.34975.57892.10926.85051.09794.22963.98237.59007.35711.8657

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 124.077 C1 C2 H8 116.871
C1 C3 C5 179.955 C2 C1 C3 124.077
C2 C1 H7 116.871 C2 C4 C6 179.955
C3 C1 H7 119.052 C3 C5 H9 121.825
C3 C5 H10 121.825 C4 C2 H8 119.052
C4 C6 H11 121.825 C4 C6 H12 121.825
H9 C5 H10 116.349 H11 C6 H12 116.349
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.308      
2 C -0.308      
3 C 0.344      
4 C 0.344      
5 C -0.564      
6 C -0.564      
7 H 0.170      
8 H 0.170      
9 H 0.178      
10 H 0.178      
11 H 0.178      
12 H 0.178      


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 3.044 0.000
y 3.044 -30.621 0.000
z 0.000 0.000 -35.481
Traceless
 xyz
x -1.088 3.044 0.000
y 3.044 4.189 0.000
z 0.000 0.000 -3.101
Polar
3z2-r2-6.202
x2-y2-3.518
xy3.044
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.769 6.263 0.000
y 6.263 20.503 0.000
z 0.000 0.000 4.995


<r2> (average value of r2) Å2
<r2> 246.470
(<r2>)1/2 15.699