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: HSEh1PBE/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 HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-231.936553
Energy at 298.15K-231.940589
HF Energy-231.936553
Nuclear repulsion energy177.214243
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 HSEh1PBE/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 3155 3034 0.00      
2 Ag 3129 3009 0.00      
3 Ag 2039 1961 0.00      
4 Ag 1505 1448 0.00      
5 Ag 1392 1339 0.00      
6 Ag 1175 1130 0.00      
7 Ag 1045 1005 0.00      
8 Ag 888 854 0.00      
9 Ag 544 523 0.00      
10 Ag 234 225 0.00      
11 Au 3203 3081 1.46      
12 Au 1006 967 1.60      
13 Au 929 893 36.92      
14 Au 493 474 2.78      
15 Au 360 347 13.49      
16 Au 85 82 0.67      
17 Bg 3203 3080 0.00      
18 Bg 1008 969 0.00      
19 Bg 899 865 0.00      
20 Bg 684 657 0.00      
21 Bg 322 310 0.00      
22 Bu 3164 3044 3.24      
23 Bu 3129 3010 13.34      
24 Bu 2063 1984 154.32      
25 Bu 1453 1397 1.55      
26 Bu 1264 1215 15.78      
27 Bu 1115 1073 2.63      
28 Bu 888 854 100.28      
29 Bu 553 531 35.62      
30 Bu 123 118 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 20523.4 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 19739.4 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 HSEh1PBE/aug-cc-pVTZ
ABC
1.08975 0.04580 0.04476

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.653 0.000
C2 0.324 -0.653 0.000
C3 0.324 1.789 0.000
C4 -0.324 -1.789 0.000
C5 0.967 2.916 0.000
C6 -0.967 -2.916 0.000
H7 -1.410 0.670 0.000
H8 1.410 -0.670 0.000
H9 1.246 3.407 0.927
H10 1.246 3.407 -0.927
H11 -1.246 -3.407 0.927
H12 -1.246 -3.407 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45771.30802.44232.60573.62671.08612.18083.30333.30334.26584.2658
C21.45772.44231.30803.62672.60572.18081.08614.26584.26583.30333.3033
C31.30802.44233.63681.29774.87952.06362.68852.08052.08055.50745.5074
C42.44231.30803.63684.87951.29772.68852.06365.50745.50742.08052.0805
C52.60573.62671.29774.87956.14503.27053.61341.08541.08546.76386.7638
C63.62672.60574.87951.29776.14503.61343.27056.76386.76381.08541.0854
H71.08612.18082.06362.68853.27053.61343.12193.92533.92534.18474.1847
H82.18081.08612.68852.06363.61343.27053.12194.18474.18473.92533.9253
H93.30334.26582.08055.50741.08546.76383.92534.18471.85347.25667.4896
H103.30334.26582.08055.50741.08546.76383.92534.18471.85347.48967.2566
H114.26583.30335.50742.08056.76381.08544.18473.92537.25667.48961.8534
H124.26583.30335.50742.08056.76381.08544.18473.92537.48967.25661.8534

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 123.942 C1 C2 H8 117.279
C1 C3 C5 179.947 C2 C1 C3 123.942
C2 C1 H7 117.279 C2 C4 C6 179.947
C3 C1 H7 118.779 C3 C5 H9 121.370
C3 C5 H10 121.370 C4 C2 H8 118.779
C4 C6 H11 121.370 C4 C6 H12 121.370
H9 C5 H10 117.260 H11 C6 H12 117.260
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.596      
2 C -0.596      
3 C 0.894      
4 C 0.894      
5 C -0.858      
6 C -0.858      
7 H -0.001      
8 H -0.001      
9 H 0.281      
10 H 0.281      
11 H 0.281      
12 H 0.281      


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 -35.092 3.428 0.000
y 3.428 -31.310 0.000
z 0.000 0.000 -36.456
Traceless
 xyz
x -1.209 3.428 0.000
y 3.428 4.464 0.000
z 0.000 0.000 -3.255
Polar
3z2-r2-6.510
x2-y2-3.782
xy3.428
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.305 5.414 0.000
y 5.414 21.713 0.000
z 0.000 0.000 7.509


<r2> (average value of r2) Å2
<r2> 241.717
(<r2>)1/2 15.547