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

using model chemistry: mPW1PW91/TZVP

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/TZVP
 hartrees
Energy at 0K-232.135766
Energy at 298.15K 
HF Energy-232.135766
Nuclear repulsion energy209.625221
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/TZVP
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 3237 3088 6.68 288.99 0.03 0.06
2 A1 3133 2989 25.13 158.95 0.11 0.20
3 A1 1649 1573 0.21 47.43 0.03 0.05
4 A1 1194 1139 5.60 24.18 0.14 0.24
5 A1 1045 997 1.98 8.83 0.62 0.76
6 A1 964 919 7.10 10.21 0.25 0.40
7 A1 886 845 0.24 4.65 0.64 0.78
8 A1 825 787 84.54 6.04 0.05 0.10
9 A1 394 376 5.24 7.25 0.56 0.72
10 A2 3203 3056 0.00 163.31 0.75 0.86
11 A2 1302 1242 0.00 6.12 0.75 0.86
12 A2 1209 1153 0.00 10.55 0.75 0.86
13 A2 973 928 0.00 0.25 0.75 0.86
14 A2 947 904 0.00 1.31 0.75 0.86
15 A2 793 757 0.00 2.64 0.75 0.86
16 A2 340 324 0.00 1.74 0.75 0.86
17 B1 3234 3086 33.72 61.69 0.75 0.86
18 B1 1621 1547 12.01 0.66 0.75 0.86
19 B1 1214 1159 1.27 1.59 0.75 0.86
20 B1 1109 1058 0.55 0.00 0.75 0.86
21 B1 1014 968 0.04 6.83 0.75 0.86
22 B1 732 698 49.92 2.64 0.75 0.86
23 B2 3205 3057 21.18 43.91 0.75 0.86
24 B2 3126 2982 13.94 120.22 0.75 0.86
25 B2 1310 1250 40.35 0.01 0.75 0.86
26 B2 1170 1117 6.99 0.30 0.75 0.86
27 B2 979 934 2.01 1.19 0.75 0.86
28 B2 939 896 8.44 0.40 0.75 0.86
29 B2 845 806 13.03 0.89 0.75 0.86
30 B2 491 468 5.29 3.49 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21540.5 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 20549.6 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/TZVP
ABC
0.26419 0.15035 0.11726

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.520
C2 0.000 -0.782 0.520
H3 0.000 1.344 1.453
H4 0.000 -1.344 1.453
C5 -1.298 0.666 -0.264
C6 1.298 0.666 -0.264
C7 1.298 -0.666 -0.264
C8 -1.298 -0.666 -0.264
H9 -1.943 1.415 -0.704
H10 1.943 1.415 -0.704
H11 1.943 -1.415 -0.704
H12 -1.943 -1.415 -0.704

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56461.08902.32181.52041.52042.09692.09692.38222.38223.17873.1787
C21.56462.32181.08902.09692.09691.52041.52043.17873.17872.38222.3822
H31.08902.32182.68732.25622.25622.94482.94482.90442.90444.00534.0053
H42.32181.08902.68732.94482.94482.25622.25624.00534.00532.90442.9044
C51.52042.09692.25622.94482.59522.91751.33281.08243.35493.87672.2236
C61.52042.09692.25622.94482.59521.33282.91753.35491.08242.22363.8767
C72.09691.52042.94482.25622.91751.33282.59523.87672.22361.08243.3549
C82.09691.52042.94482.25621.33282.91752.59522.22363.87673.35491.0824
H92.38223.17872.90444.00531.08243.35493.87672.22363.88564.80742.8308
H102.38223.17872.90444.00533.35491.08242.22363.87673.88562.83084.8074
H113.17872.38224.00532.90443.87672.22361.08243.35494.80742.83083.8856
H123.17872.38224.00532.90442.22363.87673.35491.08242.83084.80743.8856

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 121.026 C1 C2 H7 85.628
C1 C2 H8 85.628 C1 C5 H8 94.372
C1 C5 H9 131.753 C1 C6 H7 94.372
C1 C6 H10 131.753 C2 C1 C3 121.026
C2 C1 C5 85.628 C2 C1 C6 85.628
C2 H7 C6 94.372 C2 H7 H11 131.753
C2 H8 C5 94.372 C2 H8 H12 131.753
C3 C1 C5 118.753 C3 C1 C6 118.753
C4 C2 H7 118.753 C4 C2 H8 118.753
C5 C1 C6 117.187 C5 H8 H12 133.789
C6 H7 H11 133.789 H7 C6 H10 133.789
H8 C5 H9 133.789
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.113      
2 C -0.113      
3 H 0.154      
4 H 0.154      
5 C -0.144      
6 C -0.144      
7 C -0.144      
8 C -0.144      
9 H 0.123      
10 H 0.123      
11 H 0.123      
12 H 0.123      


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 -0.039 0.039
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.506 0.000 0.000
y 0.000 -32.765 0.000
z 0.000 0.000 -36.048
Traceless
 xyz
x -1.100 0.000 0.000
y 0.000 3.012 0.000
z 0.000 0.000 -1.912
Polar
3z2-r2-3.824
x2-y2-2.741
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.632 0.000 0.000
y 0.000 9.986 0.000
z 0.000 0.000 7.104


<r2> (average value of r2) Å2
<r2> 117.979
(<r2>)1/2 10.862