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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G
 hartrees
Energy at 0K-231.773462
Energy at 298.15K 
HF Energy-231.773462
Nuclear repulsion energy207.963791
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 PBE1PBE/6-31G
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 3292 3147 6.35 260.54 0.03 0.06
2 A1 3176 3036 27.03 135.70 0.16 0.27
3 A1 1651 1578 0.17 27.43 0.07 0.13
4 A1 1196 1143 5.41 20.56 0.21 0.34
5 A1 1062 1015 2.74 14.66 0.75 0.85
6 A1 969 926 10.91 11.60 0.27 0.43
7 A1 883 844 0.05 6.95 0.75 0.85
8 A1 842 804 91.44 7.29 0.09 0.17
9 A1 402 384 4.92 12.68 0.63 0.77
10 A2 3251 3108 0.00 154.72 0.75 0.86
11 A2 1312 1254 0.00 3.96 0.75 0.86
12 A2 1236 1181 0.00 14.62 0.75 0.86
13 A2 980 937 0.00 0.09 0.75 0.86
14 A2 963 921 0.00 0.42 0.75 0.86
15 A2 805 770 0.00 4.46 0.75 0.86
16 A2 346 331 0.00 3.08 0.75 0.86
17 B1 3288 3143 41.75 53.39 0.75 0.86
18 B1 1623 1552 6.43 2.60 0.75 0.86
19 B1 1232 1178 0.12 3.74 0.75 0.86
20 B1 1124 1075 0.58 0.01 0.75 0.86
21 B1 1031 985 0.11 9.10 0.75 0.86
22 B1 757 724 57.49 4.69 0.75 0.86
23 B2 3253 3110 19.63 39.93 0.75 0.86
24 B2 3166 3026 13.40 119.13 0.75 0.86
25 B2 1324 1265 35.35 0.00 0.75 0.86
26 B2 1188 1136 11.49 0.80 0.75 0.86
27 B2 995 951 2.78 1.03 0.75 0.86
28 B2 959 917 6.72 0.20 0.75 0.86
29 B2 854 816 11.22 2.27 0.75 0.86
30 B2 502 480 6.08 7.32 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21830.4 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 20867.7 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 PBE1PBE/6-31G
ABC
0.25882 0.14839 0.11550

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.793 0.527
C2 0.000 -0.793 0.527
H3 0.000 1.362 1.457
H4 0.000 -1.362 1.457
C5 -1.306 0.673 -0.267
C6 1.306 0.673 -0.267
C7 1.306 -0.673 -0.267
C8 -1.306 -0.673 -0.267
H9 -1.950 1.423 -0.709
H10 1.950 1.423 -0.709
H11 1.950 -1.423 -0.709
H12 -1.950 -1.423 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58621.09062.34751.53321.53322.11802.11802.39282.39283.20013.2001
C21.58622.34751.09062.11802.11801.53321.53323.20013.20012.39282.3928
H31.09062.34752.72422.27032.27032.97002.97002.91492.91494.03134.0313
H42.34751.09062.72422.97002.97002.27032.27034.03134.03132.91492.9149
C51.53322.11802.27032.97002.61232.93871.34591.08273.37033.89742.2369
C61.53322.11802.27032.97002.61231.34592.93873.37031.08272.23693.8974
C72.11801.53322.97002.27032.93871.34592.61233.89742.23691.08273.3703
C82.11801.53322.97002.27031.34592.93872.61232.23693.89743.37031.0827
H92.39283.20012.91494.03131.08273.37033.89742.23693.89944.82792.8466
H102.39283.20012.91494.03133.37031.08272.23693.89743.89942.84664.8279
H113.20012.39284.03132.91493.89742.23691.08273.37034.82792.84663.8994
H123.20012.39284.03132.91492.23693.89743.37031.08272.84664.82793.8994

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 121.448 C1 C2 H7 85.506
C1 C2 H8 85.506 C1 C5 H8 94.494
C1 C5 H9 131.551 C1 C6 H7 94.494
C1 C6 H10 131.551 C2 C1 C3 121.448
C2 C1 C5 85.506 C2 C1 C6 85.506
C2 H7 C6 94.494 C2 H7 H11 131.551
C2 H8 C5 94.494 C2 H8 H12 131.551
C3 C1 C5 118.858 C3 C1 C6 118.858
C4 C2 H7 118.858 C4 C2 H8 118.858
C5 C1 C6 116.837 C5 H8 H12 133.870
C6 H7 H11 133.870 H7 C6 H10 133.870
H8 C5 H9 133.870
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.301      
2 C -0.301      
3 H 0.181      
4 H 0.181      
5 C -0.109      
6 C -0.109      
7 C -0.109      
8 C -0.109      
9 H 0.169      
10 H 0.169      
11 H 0.169      
12 H 0.169      


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 -0.021 0.021
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.890 0.000 0.000
y 0.000 -32.613 0.000
z 0.000 0.000 -35.671
Traceless
 xyz
x -0.748 0.000 0.000
y 0.000 2.667 0.000
z 0.000 0.000 -1.919
Polar
3z2-r2-3.839
x2-y2-2.277
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.095 0.000 0.000
y 0.000 9.222 0.000
z 0.000 0.000 5.494


<r2> (average value of r2) Å2
<r2> 119.162
(<r2>)1/2 10.916