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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-231.861577
Energy at 298.15K-231.865602
HF Energy-231.861577
Nuclear repulsion energy176.539641
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3181 3035 0.00      
2 Ag 3153 3009 0.00      
3 Ag 2068 1974 0.00      
4 Ag 1523 1453 0.00      
5 Ag 1405 1340 0.00      
6 Ag 1185 1131 0.00      
7 Ag 1055 1007 0.00      
8 Ag 882 841 0.00      
9 Ag 545 520 0.00      
10 Ag 237 226 0.00      
11 Au 3231 3083 5.10      
12 Au 1012 966 0.01      
13 Au 932 890 34.91      
14 Au 492 470 2.91      
15 Au 367 350 9.51      
16 Au 87 83 0.42      
17 Bg 3231 3083 0.00      
18 Bg 1014 968 0.00      
19 Bg 897 856 0.00      
20 Bg 682 651 0.00      
21 Bg 331 316 0.00      
22 Bu 3189 3043 7.12      
23 Bu 3153 3009 17.71      
24 Bu 2092 1996 104.97      
25 Bu 1468 1401 0.32      
26 Bu 1274 1216 12.79      
27 Bu 1124 1073 1.93      
28 Bu 882 842 109.04      
29 Bu 555 529 23.71      
30 Bu 123 118 0.77      

Unscaled Zero Point Vibrational Energy (zpe) 20684.1 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 19738.8 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/6-31G**
ABC
1.08260 0.04545 0.04441

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.654 0.000
C2 0.326 -0.654 0.000
C3 0.326 1.796 0.000
C4 -0.326 -1.796 0.000
C5 0.972 2.927 0.000
C6 -0.972 -2.927 0.000
H7 -1.414 0.668 0.000
H8 1.414 -0.668 0.000
H9 1.254 3.421 0.928
H10 1.254 3.421 -0.928
H11 -1.254 -3.421 0.928
H12 -1.254 -3.421 -0.928

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46181.31422.45022.61743.63951.08882.18563.31843.31844.28184.2818
C21.46182.45021.31423.63952.61742.18561.08884.28184.28183.31843.3184
C31.31422.45023.65031.30324.89822.07342.69392.08912.08915.52945.5294
C42.45021.31423.65034.89821.30322.69392.07345.52945.52942.08912.0891
C52.61743.63951.30324.89826.16913.28623.62261.08821.08826.79136.7913
C63.63952.61744.89821.30326.16913.62263.28626.79136.79131.08821.0882
H71.08882.18562.07342.69393.28623.62263.12863.94443.94444.19674.1967
H82.18561.08882.69392.07343.62263.28623.12864.19674.19673.94443.9444
H93.31844.28182.08915.52941.08826.79133.94444.19671.85567.28777.5202
H103.31844.28182.08915.52941.08826.79133.94444.19671.85567.52027.2877
H114.28183.31845.52942.08916.79131.08824.19673.94447.28777.52021.8556
H124.28183.31845.52942.08916.79131.08824.19673.94447.52027.28771.8556

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 123.836 C1 C2 H8 117.190
C1 C3 C5 179.953 C2 C1 C3 123.836
C2 C1 H7 117.190 C2 C4 C6 179.953
C3 C1 H7 118.974 C3 C5 H9 121.501
C3 C5 H10 121.501 C4 C2 H8 118.974
C4 C6 H11 121.501 C4 C6 H12 121.501
H9 C5 H10 116.999 H11 C6 H12 116.999
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.254      
2 C -0.254      
3 C 0.249      
4 C 0.249      
5 C -0.454      
6 C -0.454      
7 H 0.152      
8 H 0.152      
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 -34.005 3.171 0.000
y 3.171 -30.466 0.000
z 0.000 0.000 -35.491
Traceless
 xyz
x -1.027 3.171 0.000
y 3.171 4.282 0.000
z 0.000 0.000 -3.255
Polar
3z2-r2-6.510
x2-y2-3.539
xy3.171
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.737 6.189 0.000
y 6.189 19.653 0.000
z 0.000 0.000 4.948


<r2> (average value of r2) Å2
<r2> 242.816
(<r2>)1/2 15.583