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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-231.929031
Energy at 298.15K-231.933066
HF Energy-231.929031
Nuclear repulsion energy177.228250
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/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 3152 3152 0.00      
2 Ag 3127 3127 0.00      
3 Ag 2040 2040 0.00      
4 Ag 1505 1505 0.00      
5 Ag 1392 1392 0.00      
6 Ag 1176 1176 0.00      
7 Ag 1046 1046 0.00      
8 Ag 890 890 0.00      
9 Ag 545 545 0.00      
10 Ag 235 235 0.00      
11 Au 3201 3201 1.44      
12 Au 1005 1005 1.43      
13 Au 930 930 36.97      
14 Au 495 495 2.75      
15 Au 361 361 13.65      
16 Au 85 85 0.67      
17 Bg 3201 3201 0.00      
18 Bg 1007 1007 0.00      
19 Bg 901 901 0.00      
20 Bg 686 686 0.00      
21 Bg 323 323 0.00      
22 Bu 3162 3162 3.14      
23 Bu 3128 3128 13.33      
24 Bu 2064 2064 152.68      
25 Bu 1452 1452 1.67      
26 Bu 1264 1264 15.57      
27 Bu 1115 1115 2.69      
28 Bu 890 890 103.73      
29 Bu 553 553 35.55      
30 Bu 123 123 1.06      

Unscaled Zero Point Vibrational Energy (zpe) 20526.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 20526.9 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/6-311+G(3df,2p)
ABC
1.08771 0.04582 0.04478

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

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 0.970 2.914 0.000
C6 -0.970 -2.914 0.000
H7 -1.410 0.669 0.000
H8 1.410 -0.669 0.000
H9 1.250 3.406 0.926
H10 1.250 3.406 -0.926
H11 -1.250 -3.406 0.926
H12 -1.250 -3.406 -0.926

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45781.30792.44152.60563.62521.08632.18113.30393.30394.26484.2648
C21.45782.44151.30793.62522.60562.18111.08634.26484.26483.30393.3039
C31.30792.44153.63561.29774.87792.06442.68742.08102.08105.50645.5064
C42.44151.30793.63564.87791.29772.68742.06445.50645.50642.08102.0810
C52.60563.62521.29774.87796.14313.27193.61091.08541.08546.76266.7626
C63.62522.60564.87791.29776.14313.61093.27196.76266.76261.08541.0854
H71.08632.18112.06442.68743.27193.61093.12243.92733.92734.18244.1824
H82.18111.08632.68742.06443.61093.27193.12244.18244.18243.92733.9273
H93.30394.26482.08105.50641.08546.76263.92734.18241.85257.25617.4889
H103.30394.26482.08105.50641.08546.76263.92734.18241.85257.48897.2561
H114.26483.30395.50642.08106.76261.08544.18243.92737.25617.48891.8525
H124.26483.30395.50642.08106.76261.08544.18243.92737.48897.25611.8525

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 123.865 C1 C2 H8 117.288
C1 C3 C5 179.897 C2 C1 C3 123.865
C2 C1 H7 117.288 C2 C4 C6 179.897
C3 C1 H7 118.848 C3 C5 H9 121.418
C3 C5 H10 121.418 C4 C2 H8 118.848
C4 C6 H11 121.418 C4 C6 H12 121.418
H9 C5 H10 117.164 H11 C6 H12 117.164
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.523      
2 C -0.523      
3 C 0.548      
4 C 0.548      
5 C -0.457      
6 C -0.457      
7 H 0.125      
8 H 0.125      
9 H 0.154      
10 H 0.154      
11 H 0.154      
12 H 0.154      


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 -35.067 3.461 0.000
y 3.461 -31.241 0.000
z 0.000 0.000 -36.535
Traceless
 xyz
x -1.179 3.461 0.000
y 3.461 4.560 0.000
z 0.000 0.000 -3.381
Polar
3z2-r2-6.762
x2-y2-3.825
xy3.461
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.203 5.452 0.000
y 5.452 21.636 0.000
z 0.000 0.000 7.363


<r2> (average value of r2) Å2
<r2> 241.611
(<r2>)1/2 15.544