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

using model chemistry: M06-2X/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at M06-2X/6-311G**
 hartrees
Energy at 0K-232.072310
Energy at 298.15K-232.076347
HF Energy-232.072310
Nuclear repulsion energy176.961676
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 M06-2X/6-311G**
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 3160 3160 0.00      
2 Ag 3130 3130 0.00      
3 Ag 2068 2068 0.00      
4 Ag 1514 1514 0.00      
5 Ag 1397 1397 0.00      
6 Ag 1174 1174 0.00      
7 Ag 1050 1050 0.00      
8 Ag 899 899 0.00      
9 Ag 547 547 0.00      
10 Ag 235 235 0.00      
11 Au 3212 3212 0.56      
12 Au 1014 1014 0.08      
13 Au 932 932 41.56      
14 Au 490 490 2.76      
15 Au 358 358 15.90      
16 Au 81 81 0.57      
17 Bg 3212 3212 0.00      
18 Bg 1016 1016 0.00      
19 Bg 906 906 0.00      
20 Bg 682 682 0.00      
21 Bg 325 325 0.00      
22 Bu 3168 3168 5.19      
23 Bu 3131 3131 3.21      
24 Bu 2085 2085 131.40      
25 Bu 1461 1461 1.04      
26 Bu 1267 1267 11.78      
27 Bu 1119 1119 1.30      
28 Bu 899 899 111.15      
29 Bu 559 559 34.06      
30 Bu 122 122 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 20606.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 20606.0 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 M06-2X/6-311G**
ABC
1.06496 0.04581 0.04474

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.329 0.657 0.000
C2 0.329 -0.657 0.000
C3 0.329 1.789 0.000
C4 -0.329 -1.789 0.000
C5 0.988 2.910 0.000
C6 -0.988 -2.910 0.000
H7 -1.415 0.673 0.000
H8 1.415 -0.673 0.000
H9 1.271 3.394 0.929
H10 1.271 3.394 -0.929
H11 -1.271 -3.394 0.929
H12 -1.271 -3.394 -0.929

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46891.30892.44532.60963.62681.08592.19253.30393.30394.26134.2613
C21.46892.44531.30893.62682.60962.19251.08594.26134.26133.30393.3039
C31.30892.44533.63701.30074.87922.06972.69032.08052.08055.50285.5028
C42.44531.30893.63704.87921.30072.69032.06975.50285.50282.08052.0805
C52.60963.62681.30074.87926.14573.28273.60781.08511.08516.76046.7604
C63.62682.60964.87921.30076.14573.60783.28276.76046.76041.08511.0851
H71.08592.19252.06972.69033.28273.60783.13293.93453.93454.17404.1740
H82.19251.08592.69032.06973.60783.28273.13294.17404.17403.93453.9345
H93.30394.26132.08055.50281.08516.76043.93454.17401.85777.24857.4827
H103.30394.26132.08055.50281.08516.76043.93454.17401.85777.48277.2485
H114.26133.30395.50282.08056.76041.08514.17403.93457.24857.48271.8577
H124.26133.30395.50282.08056.76041.08514.17403.93457.48277.24851.8577

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 123.253 C1 C2 H8 117.448
C1 C3 C5 179.682 C2 C1 C3 123.253
C2 C1 H7 117.448 C2 C4 C6 179.682
C3 C1 H7 119.299 C3 C5 H9 121.129
C3 C5 H10 121.129 C4 C2 H8 119.299
C4 C6 H11 121.129 C4 C6 H12 121.129
H9 C5 H10 117.741 H11 C6 H12 117.741
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.160      
2 C -0.160      
3 C -0.022      
4 C -0.022      
5 C -0.294      
6 C -0.294      
7 H 0.160      
8 H 0.160      
9 H 0.158      
10 H 0.158      
11 H 0.158      
12 H 0.158      


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 -34.722 3.674 0.000
y 3.674 -30.753 0.000
z 0.000 0.000 -36.512
Traceless
 xyz
x -1.089 3.674 0.000
y 3.674 4.864 0.000
z 0.000 0.000 -3.775
Polar
3z2-r2-7.549
x2-y2-3.969
xy3.674
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.531 5.876 0.000
y 5.876 19.364 0.000
z 0.000 0.000 5.443


<r2> (average value of r2) Å2
<r2> 241.597
(<r2>)1/2 15.543