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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-232.107610
Energy at 298.15K 
HF Energy-232.107610
Nuclear repulsion energy209.409270
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 mPW1PW91/6-311G*
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 3232 3084 10.38 278.69 0.04 0.07
2 A1 3128 2985 41.43 154.60 0.14 0.25
3 A1 1653 1577 0.13 33.81 0.06 0.11
4 A1 1198 1143 5.84 20.41 0.16 0.27
5 A1 1047 1000 1.85 10.28 0.67 0.80
6 A1 966 922 5.95 9.72 0.28 0.44
7 A1 892 851 0.02 5.09 0.68 0.81
8 A1 821 783 85.45 5.06 0.08 0.15
9 A1 392 374 5.64 9.85 0.62 0.76
10 A2 3196 3050 0.00 174.75 0.75 0.86
11 A2 1307 1248 0.00 7.20 0.75 0.86
12 A2 1212 1157 0.00 10.00 0.75 0.86
13 A2 974 930 0.00 0.30 0.75 0.86
14 A2 936 894 0.00 0.89 0.75 0.86
15 A2 795 759 0.00 2.65 0.75 0.86
16 A2 341 325 0.00 2.18 0.75 0.86
17 B1 3228 3081 52.20 69.31 0.75 0.86
18 B1 1625 1551 9.86 1.67 0.75 0.86
19 B1 1223 1168 1.54 1.85 0.75 0.86
20 B1 1111 1061 0.45 0.07 0.75 0.86
21 B1 1017 970 0.03 7.00 0.75 0.86
22 B1 723 690 50.31 3.72 0.75 0.86
23 B2 3198 3052 39.12 45.99 0.75 0.86
24 B2 3120 2978 18.52 127.62 0.75 0.86
25 B2 1310 1250 40.07 0.01 0.75 0.86
26 B2 1172 1119 6.18 0.64 0.75 0.86
27 B2 970 926 2.64 1.20 0.75 0.86
28 B2 940 897 8.11 0.45 0.75 0.86
29 B2 846 807 13.03 1.09 0.75 0.86
30 B2 493 471 5.72 5.18 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21532.6 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 20550.7 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 mPW1PW91/6-311G*
ABC
0.26360 0.15003 0.11708

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.521
C2 0.000 -0.782 0.521
H3 0.000 1.342 1.457
H4 0.000 -1.342 1.457
C5 -1.299 0.667 -0.264
C6 1.299 0.667 -0.264
C7 1.299 -0.667 -0.264
C8 -1.299 -0.667 -0.264
H9 -1.944 1.417 -0.709
H10 1.944 1.417 -0.709
H11 1.944 -1.417 -0.709
H12 -1.944 -1.417 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56471.09072.32161.52181.52182.09872.09872.38612.38613.18223.1822
C21.56472.32161.09072.09872.09871.52181.52183.18223.18222.38612.3861
H31.09072.32162.68442.25922.25922.94732.94732.91142.91144.01024.0102
H42.32161.09072.68442.94732.94732.25922.25924.01024.01022.91142.9114
C51.52182.09872.25922.94732.59752.92041.33481.08423.35753.88002.2264
C61.52182.09872.25922.94732.59751.33482.92043.35751.08422.22643.8800
C72.09871.52182.94732.25922.92041.33482.59753.88002.22641.08423.3575
C82.09871.52182.94732.25921.33482.92042.59752.22643.88003.35751.0842
H92.38613.18222.91144.01021.08423.35753.88002.22643.88734.81012.8331
H102.38613.18222.91144.01023.35751.08422.22643.88003.88732.83314.8101
H113.18222.38614.01022.91143.88002.22641.08423.35754.81012.83313.8873
H123.18222.38614.01022.91142.22643.88003.35751.08422.83314.81013.8873

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 120.882 C1 C2 H7 85.667
C1 C2 H8 85.667 C1 C5 H8 94.333
C1 C5 H9 131.857 C1 C6 H7 94.333
C1 C6 H10 131.857 C2 C1 C3 120.882
C2 C1 C5 85.667 C2 C1 C6 85.667
C2 H7 C6 94.333 C2 H7 H11 131.857
C2 H8 C5 94.333 C2 H8 H12 131.857
C3 C1 C5 118.776 C3 C1 C6 118.776
C4 C2 H7 118.776 C4 C2 H8 118.776
C5 C1 C6 117.169 C5 H8 H12 133.707
C6 H7 H11 133.707 H7 C6 H10 133.707
H8 C5 H9 133.707
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.280      
2 C -0.280      
3 H 0.222      
4 H 0.222      
5 C -0.160      
6 C -0.160      
7 C -0.160      
8 C -0.160      
9 H 0.189      
10 H 0.189      
11 H 0.189      
12 H 0.189      


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 -0.049 0.049
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.248 0.000 0.000
y 0.000 -32.621 0.000
z 0.000 0.000 -35.999
Traceless
 xyz
x -0.938 0.000 0.000
y 0.000 3.003 0.000
z 0.000 0.000 -2.065
Polar
3z2-r2-4.129
x2-y2-2.628
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.957 0.000 0.000
y 0.000 9.606 0.000
z 0.000 0.000 6.314


<r2> (average value of r2) Å2
<r2> 118.069
(<r2>)1/2 10.866