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

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-231.912924
Energy at 298.15K-231.916956
HF Energy-231.912924
Nuclear repulsion energy177.176080
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 PBE1PBE/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 3156 3033 0.00      
2 Ag 3129 3007 0.00      
3 Ag 2048 1968 0.00      
4 Ag 1506 1448 0.00      
5 Ag 1391 1337 0.00      
6 Ag 1176 1130 0.00      
7 Ag 1045 1005 0.00      
8 Ag 885 850 0.00      
9 Ag 545 524 0.00      
10 Ag 235 226 0.00      
11 Au 3204 3079 1.99      
12 Au 1004 965 0.73      
13 Au 928 892 37.33      
14 Au 492 473 2.78      
15 Au 359 345 12.69      
16 Au 85 82 0.57      
17 Bg 3204 3079 0.00      
18 Bg 1006 967 0.00      
19 Bg 898 863 0.00      
20 Bg 684 657 0.00      
21 Bg 323 310 0.00      
22 Bu 3165 3042 4.22      
23 Bu 3129 3007 12.42      
24 Bu 2071 1990 144.08      
25 Bu 1451 1395 1.31      
26 Bu 1263 1214 13.83      
27 Bu 1116 1073 2.14      
28 Bu 885 851 103.09      
29 Bu 553 531 32.59      
30 Bu 123 118 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 20528.9 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 19728.3 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 PBE1PBE/cc-pVTZ
ABC
1.08853 0.04578 0.04474

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 0.968 2.917 0.000
C6 -0.968 -2.917 0.000
H7 -1.410 0.670 0.000
H8 1.410 -0.670 0.000
H9 1.247 3.408 0.927
H10 1.247 3.408 -0.927
H11 -1.247 -3.408 0.927
H12 -1.247 -3.408 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45811.30822.44252.60633.62721.08652.18173.30383.30384.26624.2662
C21.45812.44251.30823.62722.60632.18171.08654.26624.26623.30383.3038
C31.30822.44253.63711.29814.88022.06422.68902.08082.08085.50795.5079
C42.44251.30823.63714.88021.29812.68902.06425.50795.50792.08082.0808
C52.60633.62721.29814.88026.14603.27153.61401.08571.08576.76476.7647
C63.62722.60634.88021.29816.14603.61403.27156.76476.76471.08571.0857
H71.08652.18172.06422.68903.27153.61403.12323.92613.92614.18524.1852
H82.18171.08652.68902.06423.61403.27153.12324.18524.18523.92613.9261
H93.30384.26622.08085.50791.08576.76473.92614.18521.85457.25727.4904
H103.30384.26622.08085.50791.08576.76473.92614.18521.85457.49047.2572
H114.26623.30385.50792.08086.76471.08574.18523.92617.25727.49041.8545
H124.26623.30385.50792.08086.76471.08574.18523.92617.49047.25721.8545

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 123.909 C1 C2 H8 117.300
C1 C3 C5 179.958 C2 C1 C3 123.909
C2 C1 H7 117.300 C2 C4 C6 179.958
C3 C1 H7 118.791 C3 C5 H9 121.344
C3 C5 H10 121.344 C4 C2 H8 118.791
C4 C6 H11 121.344 C4 C6 H12 121.344
H9 C5 H10 117.311 H11 C6 H12 117.311
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.095      
2 C -0.095      
3 C 0.035      
4 C 0.035      
5 C -0.344      
6 C -0.344      
7 H 0.136      
8 H 0.136      
9 H 0.134      
10 H 0.134      
11 H 0.134      
12 H 0.134      


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 -34.776 3.424 0.000
y 3.424 -30.998 0.000
z 0.000 0.000 -36.256
Traceless
 xyz
x -1.149 3.424 0.000
y 3.424 4.518 0.000
z 0.000 0.000 -3.369
Polar
3z2-r2-6.738
x2-y2-3.778
xy3.424
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.228 5.763 0.000
y 5.763 20.834 0.000
z 0.000 0.000 6.280


<r2> (average value of r2) Å2
<r2> 241.609
(<r2>)1/2 15.544