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

using model chemistry: mPW1PW91/aug-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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-232.091530
Energy at 298.15K 
HF Energy-232.091530
Nuclear repulsion energy208.848100
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/aug-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 3240 3104 8.20 312.91 0.03 0.06
2 A1 3133 3003 28.97 168.62 0.11 0.19
3 A1 1647 1578 0.19 71.76 0.01 0.02
4 A1 1191 1142 4.92 29.71 0.09 0.17
5 A1 1038 994 1.17 8.48 0.43 0.60
6 A1 966 925 5.36 12.70 0.26 0.42
7 A1 882 845 0.27 4.17 0.41 0.58
8 A1 816 782 84.89 3.67 0.03 0.06
9 A1 388 371 5.67 4.18 0.53 0.69
10 A2 3204 3071 0.00 171.93 0.75 0.86
11 A2 1300 1245 0.00 7.84 0.75 0.86
12 A2 1201 1151 0.00 8.40 0.75 0.86
13 A2 971 930 0.00 0.65 0.75 0.86
14 A2 919 881 0.00 1.55 0.75 0.86
15 A2 787 754 0.00 1.98 0.75 0.86
16 A2 336 322 0.00 0.88 0.75 0.86
17 B1 3237 3102 37.42 67.82 0.75 0.86
18 B1 1618 1551 14.87 0.09 0.75 0.86
19 B1 1212 1161 2.10 1.16 0.75 0.86
20 B1 1106 1060 0.33 0.07 0.75 0.86
21 B1 1014 972 0.07 6.29 0.75 0.86
22 B1 718 688 48.30 0.81 0.75 0.86
23 B2 3206 3072 25.85 45.06 0.75 0.86
24 B2 3127 2996 16.01 122.73 0.75 0.86
25 B2 1300 1246 40.11 0.00 0.75 0.86
26 B2 1158 1110 6.27 0.15 0.75 0.86
27 B2 953 913 2.56 1.60 0.75 0.86
28 B2 932 893 7.25 0.44 0.75 0.86
29 B2 839 804 13.27 0.17 0.75 0.86
30 B2 489 469 4.99 2.30 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21463.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20568.1 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/aug-cc-pVDZ
ABC
0.26167 0.14958 0.11657

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.784 0.522
C2 0.000 -0.784 0.522
H3 0.000 1.349 1.461
H4 0.000 -1.349 1.461
C5 -1.300 0.671 -0.264
C6 1.300 0.671 -0.264
C7 1.300 -0.671 -0.264
C8 -1.300 -0.671 -0.264
H9 -1.949 1.423 -0.711
H10 1.949 1.423 -0.711
H11 1.949 -1.423 -0.711
H12 -1.949 -1.423 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56771.09542.32981.52391.52392.10372.10372.39362.39363.19233.1923
C21.56772.32981.09542.10372.10371.52391.52393.19233.19232.39362.3936
H31.09542.32982.69722.26432.26432.95732.95732.91942.91944.02484.0248
H42.32981.09542.69722.95732.95732.26432.26434.02484.02482.91942.9194
C51.52392.10372.26432.95732.60022.92591.34161.08923.36493.89112.2371
C61.52392.10372.26432.95732.60021.34162.92593.36491.08922.23713.8911
C72.10371.52392.95732.26432.92591.34162.60023.89112.23711.08923.3649
C82.10371.52392.95732.26431.34162.92592.60022.23713.89113.36491.0892
H92.39363.19232.91944.02481.08923.36493.89112.23713.89814.82642.8459
H102.39363.19232.91944.02483.36491.08922.23713.89113.89812.84594.8264
H113.19232.39364.02482.91943.89112.23711.08923.36494.82642.84593.8981
H123.19232.39364.02482.91942.23713.89113.36491.08922.84594.82643.8981

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 121.035 C1 C2 H7 85.747
C1 C2 H8 85.747 C1 C5 H8 94.253
C1 C5 H9 131.980 C1 C6 H7 94.253
C1 C6 H10 131.980 C2 C1 C3 121.035
C2 C1 C5 85.747 C2 C1 C6 85.747
C2 H7 C6 94.253 C2 H7 H11 131.980
C2 H8 C5 94.253 C2 H8 H12 131.980
C3 C1 C5 118.732 C3 C1 C6 118.732
C4 C2 H7 118.732 C4 C2 H8 118.732
C5 C1 C6 117.107 C5 H8 H12 133.672
C6 H7 H11 133.672 H7 C6 H10 133.672
H8 C5 H9 133.672
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.715      
2 C 0.715      
3 H -0.445      
4 H -0.445      
5 C 0.199      
6 C 0.199      
7 C 0.199      
8 C 0.199      
9 H -0.334      
10 H -0.334      
11 H -0.334      
12 H -0.334      


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 -0.038 0.038
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.904 0.000 0.000
y 0.000 -32.816 0.000
z 0.000 0.000 -36.300
Traceless
 xyz
x -1.346 0.000 0.000
y 0.000 3.286 0.000
z 0.000 0.000 -1.940
Polar
3z2-r2-3.879
x2-y2-3.088
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.448 0.000 0.000
y 0.000 10.362 0.000
z 0.000 0.000 7.855


<r2> (average value of r2) Å2
<r2> 118.782
(<r2>)1/2 10.899