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

using model chemistry: PBEPBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-231.899218
Energy at 298.15K-231.903043
HF Energy-231.899218
Nuclear repulsion energy175.962082
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/aug-cc-pVTZ
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 3059 3039 0.00      
2 Ag 3038 3018 0.00      
3 Ag 1960 1948 0.00      
4 Ag 1449 1440 0.00      
5 Ag 1346 1337 0.00      
6 Ag 1141 1133 0.00      
7 Ag 1008 1001 0.00      
8 Ag 837 831 0.00      
9 Ag 525 521 0.00      
10 Ag 225 223 0.00      
11 Au 3105 3085 2.84      
12 Au 969 963 1.75      
13 Au 892 886 35.24      
14 Au 473 470 2.73      
15 Au 342 340 12.52      
16 Au 84 84 0.74      
17 Bg 3105 3085 0.00      
18 Bg 971 965 0.00      
19 Bg 856 851 0.00      
20 Bg 656 651 0.00      
21 Bg 303 301 0.00      
22 Bu 3069 3049 3.39      
23 Bu 3038 3018 21.95      
24 Bu 1991 1978 132.67      
25 Bu 1403 1394 1.65      
26 Bu 1223 1215 14.26      
27 Bu 1080 1073 3.59      
28 Bu 837 832 96.14      
29 Bu 531 527 33.14      
30 Bu 119 118 1.01      

Unscaled Zero Point Vibrational Energy (zpe) 19815.0 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 19686.2 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/aug-cc-pVTZ
ABC
1.08532 0.04508 0.04408

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ

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 1.804 0.000
C4 -0.324 -1.804 0.000
C5 0.966 2.942 0.000
C6 -0.966 -2.942 0.000
H7 -1.418 0.670 0.000
H8 1.418 -0.670 0.000
H9 1.246 3.441 0.932
H10 1.246 3.441 -0.932
H11 -1.246 -3.441 0.932
H12 -1.246 -3.441 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46221.31872.45912.62523.65391.09442.18913.33043.33044.30074.3007
C21.46222.45911.31873.65392.62522.18911.09444.30074.30073.33043.3304
C31.31872.45913.66531.30654.91772.07892.70492.09712.09715.55325.5532
C42.45911.31873.66534.91771.30652.70492.07895.55325.55322.09712.0971
C52.62523.65391.30654.91776.19253.29343.63971.09351.09356.81886.8188
C63.65392.62524.91771.30656.19253.63973.29346.81886.81881.09351.0935
H71.09442.18912.07892.70493.29343.63973.13723.95543.95544.21844.2184
H82.18911.09442.70492.07893.63973.29343.13724.21844.21843.95543.9554
H93.33044.30072.09715.55321.09356.81883.95544.21841.86387.31887.5524
H103.33044.30072.09715.55321.09356.81883.95544.21841.86387.55247.3188
H114.30073.33045.55322.09716.81881.09354.21843.95547.31887.55241.8638
H124.30073.33045.55322.09716.81881.09354.21843.95547.55247.31881.8638

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 124.254 C1 C2 H8 117.070
C1 C3 C5 179.998 C2 C1 C3 124.254
C2 C1 H7 117.070 C2 C4 C6 179.998
C3 C1 H7 118.677 C3 C5 H9 121.550
C3 C5 H10 121.550 C4 C2 H8 118.677
C4 C6 H11 121.550 C4 C6 H12 121.550
H9 C5 H10 116.900 H11 C6 H12 116.900
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.544      
2 C -0.544      
3 C 0.801      
4 C 0.801      
5 C -0.830      
6 C -0.830      
7 H 0.033      
8 H 0.033      
9 H 0.270      
10 H 0.270      
11 H 0.270      
12 H 0.270      


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 -35.427 3.295 0.000
y 3.295 -31.649 0.000
z 0.000 0.000 -36.687
Traceless
 xyz
x -1.259 3.295 0.000
y 3.295 4.408 0.000
z 0.000 0.000 -3.149
Polar
3z2-r2-6.297
x2-y2-3.778
xy3.295
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.635 5.546 0.000
y 5.546 22.889 0.000
z 0.000 0.000 7.784


<r2> (average value of r2) Å2
<r2> 245.320
(<r2>)1/2 15.663