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

using model chemistry: mPW1PW91/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/Def2TZVPP
 hartrees
Energy at 0K-232.147917
Energy at 298.15K 
HF Energy-232.147917
Nuclear repulsion energy209.836024
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 mPW1PW91/Def2TZVPP
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 3233 3233 7.17 299.56 0.03 0.06
2 A1 3129 3129 25.49 158.92 0.11 0.20
3 A1 1648 1648 0.12 48.18 0.03 0.05
4 A1 1194 1194 5.13 25.35 0.12 0.22
5 A1 1044 1044 1.74 8.77 0.57 0.73
6 A1 965 965 6.28 10.82 0.24 0.39
7 A1 887 887 0.23 4.36 0.61 0.76
8 A1 827 827 78.85 5.37 0.03 0.07
9 A1 392 392 4.80 6.48 0.55 0.71
10 A2 3199 3199 0.00 163.86 0.75 0.86
11 A2 1303 1303 0.00 6.05 0.75 0.86
12 A2 1206 1206 0.00 10.58 0.75 0.86
13 A2 975 975 0.00 0.14 0.75 0.86
14 A2 952 952 0.00 1.38 0.75 0.86
15 A2 794 794 0.00 2.31 0.75 0.86
16 A2 342 342 0.00 1.47 0.75 0.86
17 B1 3230 3230 35.03 61.65 0.75 0.86
18 B1 1621 1621 12.82 0.65 0.75 0.86
19 B1 1212 1212 1.74 1.42 0.75 0.86
20 B1 1110 1110 0.33 0.01 0.75 0.86
21 B1 1015 1015 0.06 6.65 0.75 0.86
22 B1 732 732 46.92 2.07 0.75 0.86
23 B2 3201 3201 23.53 43.36 0.75 0.86
24 B2 3122 3122 14.22 119.58 0.75 0.86
25 B2 1310 1310 39.91 0.01 0.75 0.86
26 B2 1170 1170 6.53 0.26 0.75 0.86
27 B2 985 985 1.85 1.19 0.75 0.86
28 B2 939 939 8.18 0.20 0.75 0.86
29 B2 847 847 12.47 0.72 0.75 0.86
30 B2 492 492 5.34 3.12 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21536.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21536.9 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 mPW1PW91/Def2TZVPP
ABC
0.26459 0.15069 0.11756

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.781 0.520
C2 0.000 -0.781 0.520
H3 0.000 1.343 1.452
H4 0.000 -1.343 1.452
C5 -1.296 0.666 -0.264
C6 1.296 0.666 -0.264
C7 1.296 -0.666 -0.264
C8 -1.296 -0.666 -0.264
H9 -1.940 1.413 -0.706
H10 1.940 1.413 -0.706
H11 1.940 -1.413 -0.706
H12 -1.940 -1.413 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56211.08812.31931.51881.51882.09472.09472.38092.38093.17563.1756
C21.56212.31931.08812.09472.09471.51881.51883.17563.17562.38092.3809
H31.08812.31932.68562.25412.25412.94252.94252.90312.90314.00244.0024
H42.31931.08812.68562.94252.94252.25412.25414.00244.00242.90312.9031
C51.51882.09472.25412.94252.59172.91391.33211.08163.35083.87212.2215
C61.51882.09472.25412.94252.59171.33212.91393.35081.08162.22153.8721
C72.09471.51882.94252.25412.91391.33212.59173.87212.22151.08163.3508
C82.09471.51882.94252.25411.33212.91392.59172.22153.87213.35081.0816
H92.38093.17562.90314.00241.08163.35083.87212.22153.88084.80122.8268
H102.38093.17562.90314.00243.35081.08162.22153.87213.88082.82684.8012
H113.17562.38094.00242.90313.87212.22151.08163.35084.80122.82683.8808
H123.17562.38094.00242.90312.22153.87213.35081.08162.82684.80123.8808

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 121.079 C1 C2 H7 85.656
C1 C2 H8 85.656 C1 C5 H8 94.344
C1 C5 H9 131.855 C1 C6 H7 94.344
C1 C6 H10 131.855 C2 C1 C3 121.079
C2 C1 C5 85.656 C2 C1 C6 85.656
C2 H7 C6 94.344 C2 H7 H11 131.855
C2 H8 C5 94.344 C2 H8 H12 131.855
C3 C1 C5 118.757 C3 C1 C6 118.757
C4 C2 H7 118.757 C4 C2 H8 118.757
C5 C1 C6 117.121 C5 H8 H12 133.709
C6 H7 H11 133.709 H7 C6 H10 133.709
H8 C5 H9 133.709
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.040      
2 C 0.040      
3 H 0.055      
4 H 0.055      
5 C -0.154      
6 C -0.154      
7 C -0.154      
8 C -0.154      
9 H 0.107      
10 H 0.107      
11 H 0.107      
12 H 0.107      


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 -0.034 0.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.580 0.000 0.000
y 0.000 -32.669 0.000
z 0.000 0.000 -36.032
Traceless
 xyz
x -1.229 0.000 0.000
y 0.000 3.137 0.000
z 0.000 0.000 -1.907
Polar
3z2-r2-3.815
x2-y2-2.911
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.824 0.000 0.000
y 0.000 10.027 0.000
z 0.000 0.000 7.269


<r2> (average value of r2) Å2
<r2> 117.762
(<r2>)1/2 10.852