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

using model chemistry: B2PLYP/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B2PLYP/6-31G*
 hartrees
Energy at 0K-231.842989
Energy at 298.15K 
HF Energy-231.587118
Nuclear repulsion energy208.608820
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 B2PLYP/6-31G*
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 3255 3089 8.81 268.43 0.03 0.07
2 A1 3147 2988 35.76 140.27 0.15 0.26
3 A1 1636 1553 0.08 21.07 0.05 0.10
4 A1 1198 1138 3.91 17.92 0.22 0.36
5 A1 1058 1004 2.32 16.23 0.74 0.85
6 A1 965 916 6.41 11.76 0.25 0.41
7 A1 885 840 0.22 6.57 0.74 0.85
8 A1 822 781 66.18 6.15 0.14 0.25
9 A1 395 375 3.53 12.72 0.65 0.79
10 A2 3222 3058 0.00 164.55 0.75 0.86
11 A2 1319 1252 0.00 5.68 0.75 0.86
12 A2 1232 1170 0.00 12.19 0.75 0.86
13 A2 976 927 0.00 0.34 0.75 0.86
14 A2 921 874 0.00 0.07 0.75 0.86
15 A2 792 752 0.00 3.54 0.75 0.86
16 A2 336 319 0.00 2.83 0.75 0.86
17 B1 3252 3086 49.82 58.46 0.75 0.86
18 B1 1611 1529 8.42 1.94 0.75 0.86
19 B1 1245 1182 2.59 3.68 0.75 0.86
20 B1 1123 1066 0.02 0.02 0.75 0.86
21 B1 1023 971 0.28 9.69 0.75 0.86
22 B1 729 692 39.97 5.12 0.75 0.86
23 B2 3224 3060 30.70 44.54 0.75 0.86
24 B2 3141 2981 17.82 115.66 0.75 0.86
25 B2 1324 1257 33.32 0.02 0.75 0.86
26 B2 1186 1126 5.01 1.00 0.75 0.86
27 B2 957 908 7.22 0.19 0.75 0.86
28 B2 935 888 4.07 0.62 0.75 0.86
29 B2 844 801 7.23 2.19 0.75 0.86
30 B2 493 468 6.10 6.81 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21623.2 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 20524.7 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 B2PLYP/6-31G*
ABC
0.26139 0.14902 0.11608

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.786 0.522
C2 0.000 -0.786 0.522
H3 0.000 1.349 1.458
H4 0.000 -1.349 1.458
C5 -1.304 0.671 -0.264
C6 1.304 0.671 -0.264
C7 1.304 -0.671 -0.264
C8 -1.304 -0.671 -0.264
H9 -1.948 1.422 -0.712
H10 1.948 1.422 -0.712
H11 1.948 -1.422 -0.712
H12 -1.948 -1.422 -0.712

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57291.09212.33131.52671.52672.10792.10792.39112.39113.19213.1921
C21.57292.33131.09212.10792.10791.52671.52673.19213.19212.39112.3911
H31.09212.33132.69732.26352.26352.95732.95732.91632.91634.02174.0217
H42.33131.09212.69732.95732.95732.26352.26354.02174.02172.91632.9163
C51.52672.10792.26352.95732.60832.93371.34291.08513.36713.89302.2351
C61.52672.10792.26352.95732.60831.34292.93373.36711.08512.23513.8930
C72.10791.52672.95732.26352.93371.34292.60833.89302.23511.08513.3671
C82.10791.52672.95732.26351.34292.93372.60832.23513.89303.36711.0851
H92.39113.19212.91634.02171.08513.36713.89302.23513.89524.82252.8433
H102.39113.19212.91634.02173.36711.08512.23513.89303.89522.84334.8225
H113.19212.39114.02172.91633.89302.23511.08513.36714.82252.84333.8952
H123.19212.39114.02172.91632.23513.89303.36711.08512.84334.82253.8952

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 120.986 C1 C2 H7 85.682
C1 C2 H8 85.682 C1 C5 H8 94.318
C1 C5 H9 131.822 C1 C6 H7 94.318
C1 C6 H10 131.822 C2 C1 C3 120.986
C2 C1 C5 85.682 C2 C1 C6 85.682
C2 H7 C6 94.318 C2 H7 H11 131.822
C2 H8 C5 94.318 C2 H8 H12 131.822
C3 C1 C5 118.671 C3 C1 C6 118.671
C4 C2 H7 118.671 C4 C2 H8 118.671
C5 C1 C6 117.348 C5 H8 H12 133.739
C6 H7 H11 133.739 H7 C6 H10 133.739
H8 C5 H9 133.739
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.205      
2 C -0.205      
3 H 0.157      
4 H 0.157      
5 C -0.118      
6 C -0.118      
7 C -0.118      
8 C -0.118      
9 H 0.142      
10 H 0.142      
11 H 0.142      
12 H 0.142      


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 -0.042 0.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.056 0.000 0.000
y 0.000 -32.786 0.000
z 0.000 0.000 -35.662
Traceless
 xyz
x -0.831 0.000 0.000
y 0.000 2.572 0.000
z 0.000 0.000 -1.741
Polar
3z2-r2-3.482
x2-y2-2.269
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.247 0.000 0.000
y 0.000 9.108 0.000
z 0.000 0.000 5.640


<r2> (average value of r2) Å2
<r2> 118.713
(<r2>)1/2 10.896