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All results from a given calculation for C6H6 (Dewar Benzene)

using model chemistry: M06-2X/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/TZVP
 hartrees
Energy at 0K-232.086569
Energy at 298.15K 
HF Energy-232.086569
Nuclear repulsion energy209.541354
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/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3250 3075 4.69 273.71 0.03 0.06
2 A1 3153 2983 18.16 147.87 0.11 0.20
3 A1 1663 1573 0.18 48.59 0.03 0.06
4 A1 1194 1129 5.37 25.28 0.14 0.24
5 A1 1044 988 1.99 7.64 0.59 0.74
6 A1 967 915 8.70 11.26 0.25 0.40
7 A1 888 840 0.19 4.70 0.60 0.75
8 A1 831 786 84.12 6.52 0.05 0.10
9 A1 395 374 5.18 7.00 0.56 0.72
10 A2 3217 3044 0.00 148.27 0.75 0.86
11 A2 1303 1233 0.00 6.41 0.75 0.86
12 A2 1205 1140 0.00 8.84 0.75 0.86
13 A2 979 927 0.00 0.02 0.75 0.86
14 A2 957 905 0.00 1.19 0.75 0.86
15 A2 785 743 0.00 3.03 0.75 0.86
16 A2 336 318 0.00 1.76 0.75 0.86
17 B1 3248 3073 24.72 56.19 0.75 0.86
18 B1 1635 1547 12.45 0.57 0.75 0.86
19 B1 1216 1150 1.52 0.94 0.75 0.86
20 B1 1107 1048 0.32 0.05 0.75 0.86
21 B1 1014 960 0.00 7.08 0.75 0.86
22 B1 737 697 50.04 2.35 0.75 0.86
23 B2 3219 3046 13.30 40.28 0.75 0.86
24 B2 3147 2978 9.68 107.37 0.75 0.86
25 B2 1307 1237 38.77 0.01 0.75 0.86
26 B2 1166 1104 6.58 0.33 0.75 0.86
27 B2 991 938 1.39 1.40 0.75 0.86
28 B2 931 881 9.81 0.13 0.75 0.86
29 B2 847 801 12.26 0.77 0.75 0.86
30 B2 489 462 5.01 3.39 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21609.1 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 20446.5 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/TZVP
ABC
0.26393 0.15010 0.11725

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.783 0.522
C2 0.000 -0.783 0.522
H3 0.000 1.341 1.456
H4 0.000 -1.341 1.456
C5 -1.298 0.666 -0.265
C6 1.298 0.666 -0.265
C7 1.298 -0.666 -0.265
C8 -1.298 -0.666 -0.265
H9 -1.942 1.415 -0.706
H10 1.942 1.415 -0.706
H11 1.942 -1.415 -0.706
H12 -1.942 -1.415 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56551.08762.31961.52281.52282.09842.09842.38312.38313.17973.1797
C21.56552.31961.08762.09842.09841.52281.52283.17973.17972.38312.3831
H31.08762.31962.68142.25892.25892.94492.94492.90682.90684.00494.0049
H42.31961.08762.68142.94492.94492.25892.25894.00494.00492.90682.9068
C51.52282.09842.25892.94492.59652.91801.33141.08193.35493.87602.2224
C61.52282.09842.25892.94492.59651.33142.91803.35491.08192.22243.8760
C72.09841.52282.94492.25892.91801.33142.59653.87602.22241.08193.3549
C82.09841.52282.94492.25891.33142.91802.59652.22243.87603.35491.0819
H92.38313.17972.90684.00491.08193.35493.87602.22243.88394.80582.8305
H102.38313.17972.90684.00493.35491.08192.22243.87603.88392.83054.8058
H113.17972.38314.00492.90683.87602.22241.08193.35494.80582.83053.8839
H123.17972.38314.00492.90682.22243.87603.35491.08192.83054.80583.8839

picture of Dewar Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 120.863 C1 C2 H7 85.592
C1 C2 H8 85.592 C1 C5 H8 94.408
C1 C5 H9 131.652 C1 C6 H7 94.408
C1 C6 H10 131.652 C2 C1 C3 120.863
C2 C1 C5 85.592 C2 C1 C6 85.592
C2 H7 C6 94.408 C2 H7 H11 131.652
C2 H8 C5 94.408 C2 H8 H12 131.652
C3 C1 C5 118.896 C3 C1 C6 118.896
C4 C2 H7 118.896 C4 C2 H8 118.896
C5 C1 C6 116.976 C5 H8 H12 133.856
C6 H7 H11 133.856 H7 C6 H10 133.856
H8 C5 H9 133.856
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.194      
2 C -0.194      
3 H 0.182      
4 H 0.182      
5 C -0.143      
6 C -0.143      
7 C -0.143      
8 C -0.143      
9 H 0.149      
10 H 0.149      
11 H 0.149      
12 H 0.149      


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 -0.039 0.039
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.763 0.000 0.000
y 0.000 -33.025 0.000
z 0.000 0.000 -36.367
Traceless
 xyz
x -1.067 0.000 0.000
y 0.000 3.040 0.000
z 0.000 0.000 -1.973
Polar
3z2-r2-3.947
x2-y2-2.738
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.571 0.000 0.000
y 0.000 9.944 0.000
z 0.000 0.000 7.106


<r2> (average value of r2) Å2
<r2> 118.214
(<r2>)1/2 10.873