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

using model chemistry: PBEPBEultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-231.827610
Energy at 298.15K 
HF Energy-231.827610
Nuclear repulsion energy207.312717
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 PBEPBEultrafine/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3142 3124 8.31 344.66 0.04 0.07
2 A1 3031 3014 30.28 179.51 0.13 0.24
3 A1 1590 1580 0.05 32.32 0.05 0.09
4 A1 1140 1134 4.88 18.12 0.19 0.32
5 A1 983 977 1.89 15.46 0.70 0.82
6 A1 929 923 2.23 12.53 0.31 0.47
7 A1 851 846 0.02 6.77 0.66 0.79
8 A1 786 781 65.30 5.02 0.21 0.35
9 A1 377 375 3.53 14.24 0.64 0.78
10 A2 3106 3088 0.00 210.61 0.75 0.86
11 A2 1236 1229 0.00 7.88 0.75 0.86
12 A2 1132 1125 0.00 13.73 0.75 0.86
13 A2 930 924 0.00 0.28 0.75 0.86
14 A2 888 883 0.00 0.01 0.75 0.86
15 A2 762 757 0.00 2.60 0.75 0.86
16 A2 326 324 0.00 2.38 0.75 0.86
17 B1 3138 3120 45.68 76.49 0.75 0.86
18 B1 1563 1553 10.80 2.77 0.75 0.86
19 B1 1145 1138 0.61 3.44 0.75 0.86
20 B1 1056 1050 0.07 0.15 0.75 0.86
21 B1 970 964 0.01 9.49 0.75 0.86
22 B1 690 686 37.91 6.24 0.75 0.86
23 B2 3108 3090 27.61 52.19 0.75 0.86
24 B2 3024 3007 14.89 142.21 0.75 0.86
25 B2 1243 1235 35.13 0.03 0.75 0.86
26 B2 1104 1097 3.56 0.80 0.75 0.86
27 B2 923 917 3.39 0.14 0.75 0.86
28 B2 894 889 7.08 0.47 0.75 0.86
29 B2 800 796 10.45 2.43 0.75 0.86
30 B2 469 466 4.87 6.93 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20665.6 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 20545.8 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 PBEPBEultrafine/cc-pVDZ
ABC
0.25781 0.14757 0.11483

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.789 0.524
C2 0.000 -0.789 0.524
H3 0.000 1.359 1.474
H4 0.000 -1.359 1.474
C5 -1.309 0.677 -0.265
C6 1.309 0.677 -0.265
C7 1.309 -0.677 -0.265
C8 -1.309 -0.677 -0.265
H9 -1.964 1.438 -0.715
H10 1.964 1.438 -0.715
H11 1.964 -1.438 -0.715
H12 -1.964 -1.438 -0.715

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57841.10772.34881.53291.53292.11782.11782.41122.41123.21783.2178
C21.57842.34881.10772.11782.11781.53291.53293.21783.21782.41122.4112
H31.10772.34882.71792.28142.28142.98032.98032.94212.94214.05884.0588
H42.34881.10772.71792.98032.98032.28142.28144.05884.05882.94212.9421
C51.53292.11782.28142.98032.61842.94741.35301.10063.39053.92272.2591
C61.53292.11782.28142.98032.61841.35302.94743.39051.10062.25913.9227
C72.11781.53292.98032.28142.94741.35302.61843.92272.25911.10063.3905
C82.11781.53292.98032.28141.35302.94742.61842.25913.92273.39051.1006
H92.41123.21782.94214.05881.10063.39053.92272.25913.92764.86842.8766
H102.41123.21782.94214.05883.39051.10062.25913.92273.92762.87664.8684
H113.21782.41124.05882.94213.92272.25911.10063.39054.86842.87663.9276
H123.21782.41124.05882.94212.25913.92273.39051.10062.87664.86843.9276

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 120.956 C1 C2 H7 85.785
C1 C2 H8 85.785 C1 C5 H8 94.215
C1 C5 H9 131.884 C1 C6 H7 94.215
C1 C6 H10 131.884 C2 C1 C3 120.956
C2 C1 C5 85.785 C2 C1 C6 85.785
C2 H7 C6 94.215 C2 H7 H11 131.884
C2 H8 C5 94.215 C2 H8 H12 131.884
C3 C1 C5 118.645 C3 C1 C6 118.645
C4 C2 H7 118.645 C4 C2 H8 118.645
C5 C1 C6 117.318 C5 H8 H12 133.802
C6 H7 H11 133.802 H7 C6 H10 133.802
H8 C5 H9 133.802
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.018      
2 C -0.018      
3 H 0.010      
4 H 0.010      
5 C 0.027      
6 C 0.027      
7 C 0.027      
8 C 0.027      
9 H -0.023      
10 H -0.023      
11 H -0.023      
12 H -0.023      


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 0.018 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.446 0.000 0.000
y 0.000 -33.055 0.000
z 0.000 0.000 -35.993
Traceless
 xyz
x -0.922 0.000 0.000
y 0.000 2.664 0.000
z 0.000 0.000 -1.743
Polar
3z2-r2-3.486
x2-y2-2.391
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.333 0.000 0.000
y 0.000 9.843 0.000
z 0.000 0.000 6.347


<r2> (average value of r2) Å2
<r2> 120.121
(<r2>)1/2 10.960