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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-231.880776
Energy at 298.15K 
HF Energy-231.880776
Nuclear repulsion energy209.402639
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/6-311G*
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 3228 3094 9.99 282.28 0.04 0.07
2 A1 3124 2995 39.53 157.08 0.14 0.25
3 A1 1653 1584 0.15 33.96 0.06 0.11
4 A1 1197 1148 5.94 20.16 0.15 0.27
5 A1 1044 1001 1.70 10.44 0.67 0.80
6 A1 968 928 5.46 9.76 0.30 0.46
7 A1 893 856 0.03 5.18 0.68 0.81
8 A1 820 786 85.95 4.98 0.09 0.17
9 A1 391 375 5.67 9.96 0.62 0.76
10 A2 3192 3060 0.00 176.83 0.75 0.86
11 A2 1306 1252 0.00 7.56 0.75 0.86
12 A2 1208 1158 0.00 9.95 0.75 0.86
13 A2 975 935 0.00 0.29 0.75 0.86
14 A2 933 894 0.00 0.77 0.75 0.86
15 A2 793 760 0.00 2.49 0.75 0.86
16 A2 340 326 0.00 2.17 0.75 0.86
17 B1 3224 3091 50.29 69.96 0.75 0.86
18 B1 1625 1558 9.44 1.69 0.75 0.86
19 B1 1221 1170 1.42 1.83 0.75 0.86
20 B1 1110 1064 0.43 0.13 0.75 0.86
21 B1 1017 975 0.00 7.03 0.75 0.86
22 B1 721 692 50.50 3.91 0.75 0.86
23 B2 3194 3061 37.08 46.46 0.75 0.86
24 B2 3117 2987 17.58 129.13 0.75 0.86
25 B2 1307 1253 40.62 0.01 0.75 0.86
26 B2 1169 1120 6.07 0.63 0.75 0.86
27 B2 967 927 2.39 1.11 0.75 0.86
28 B2 938 899 8.62 0.49 0.75 0.86
29 B2 845 810 13.24 1.10 0.75 0.86
30 B2 492 471 5.67 5.24 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21505.4 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 20612.9 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/6-311G*
ABC
0.26348 0.15011 0.11711

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.341 1.459
H4 0.000 -1.341 1.459
C5 -1.298 0.668 -0.264
C6 1.298 0.668 -0.264
C7 1.298 -0.668 -0.264
C8 -1.298 -0.668 -0.264
H9 -1.944 1.418 -0.710
H10 1.944 1.418 -0.710
H11 1.944 -1.418 -0.710
H12 -1.944 -1.418 -0.710

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56381.09212.32121.52121.52122.09822.09822.38692.38693.18323.1832
C21.56382.32121.09212.09822.09821.52121.52123.18323.18322.38692.3869
H31.09212.32122.68282.25972.25972.94772.94772.91312.91314.01194.0119
H42.32121.09212.68282.94772.94772.25972.25974.01194.01192.91312.9131
C51.52122.09822.25972.94772.59652.91981.33551.08563.35743.88072.2286
C61.52122.09822.25972.94772.59651.33552.91983.35741.08562.22863.8807
C72.09821.52122.94772.25972.91981.33552.59653.88072.22861.08563.3574
C82.09821.52122.94772.25971.33552.91982.59652.22863.88073.35741.0856
H92.38693.18322.91314.01191.08563.35743.88072.22863.88744.81212.8363
H102.38693.18322.91314.01193.35741.08562.22863.88073.88742.83634.8121
H113.18322.38694.01192.91313.88072.22861.08563.35744.81212.83633.8874
H123.18322.38694.01192.91312.22863.88073.35741.08562.83634.81213.8874

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 120.818 C1 C2 H7 85.697
C1 C2 H8 85.697 C1 C5 H8 94.303
C1 C5 H9 131.869 C1 C6 H7 94.303
C1 C6 H10 131.869 C2 C1 C3 120.818
C2 C1 C5 85.697 C2 C1 C6 85.697
C2 H7 C6 94.303 C2 H7 H11 131.869
C2 H8 C5 94.303 C2 H8 H12 131.869
C3 C1 C5 118.776 C3 C1 C6 118.776
C4 C2 H7 118.776 C4 C2 H8 118.776
C5 C1 C6 117.173 C5 H8 H12 133.725
C6 H7 H11 133.725 H7 C6 H10 133.725
H8 C5 H9 133.725
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.286      
2 C -0.286      
3 H 0.224      
4 H 0.224      
5 C -0.160      
6 C -0.160      
7 C -0.160      
8 C -0.160      
9 H 0.191      
10 H 0.191      
11 H 0.191      
12 H 0.191      


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 -0.046 0.046
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.323 0.000 0.000
y 0.000 -32.688 0.000
z 0.000 0.000 -36.070
Traceless
 xyz
x -0.944 0.000 0.000
y 0.000 3.009 0.000
z 0.000 0.000 -2.065
Polar
3z2-r2-4.129
x2-y2-2.635
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.976 0.000 0.000
y 0.000 9.617 0.000
z 0.000 0.000 6.333


<r2> (average value of r2) Å2
<r2> 118.109
(<r2>)1/2 10.868