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

using model chemistry: B2PLYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B2PLYP/6-31+G**
 hartrees
Energy at 0K-231.875256
Energy at 298.15K 
HF Energy-231.605622
Nuclear repulsion energy208.463423
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 B2PLYP/6-31+G**
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 3256 3101 9.07 301.44 0.04 0.07
2 A1 3146 2996 30.15 162.97 0.11 0.20
3 A1 1619 1542 0.25 55.03 0.01 0.02
4 A1 1188 1132 4.84 30.62 0.11 0.20
5 A1 1050 1000 1.86 8.52 0.60 0.75
6 A1 960 914 8.36 10.52 0.25 0.40
7 A1 875 833 0.28 4.57 0.59 0.74
8 A1 818 779 90.33 5.40 0.02 0.04
9 A1 392 373 6.36 4.89 0.52 0.68
10 A2 3223 3070 0.00 175.99 0.75 0.86
11 A2 1308 1246 0.00 6.55 0.75 0.86
12 A2 1221 1163 0.00 10.10 0.75 0.86
13 A2 970 924 0.00 0.68 0.75 0.86
14 A2 921 877 0.00 2.30 0.75 0.86
15 A2 787 750 0.00 2.65 0.75 0.86
16 A2 331 315 0.00 1.24 0.75 0.86
17 B1 3253 3098 42.09 78.17 0.75 0.86
18 B1 1592 1517 14.47 0.01 0.75 0.86
19 B1 1229 1171 2.89 1.76 0.75 0.86
20 B1 1116 1062 0.49 0.00 0.75 0.86
21 B1 1017 969 0.17 7.01 0.75 0.86
22 B1 723 689 53.07 1.44 0.75 0.86
23 B2 3225 3071 26.72 50.01 0.75 0.86
24 B2 3140 2990 17.36 125.22 0.75 0.86
25 B2 1317 1254 36.60 0.02 0.75 0.86
26 B2 1177 1121 7.76 0.25 0.75 0.86
27 B2 954 909 5.41 1.64 0.75 0.86
28 B2 931 887 5.63 1.02 0.75 0.86
29 B2 839 799 10.02 0.29 0.75 0.86
30 B2 488 465 4.85 3.37 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21532.4 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 20507.4 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 B2PLYP/6-31+G**
ABC
0.26069 0.14897 0.11592

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.522
C2 0.000 -0.788 0.522
H3 0.000 1.351 1.456
H4 0.000 -1.351 1.456
C5 -1.304 0.673 -0.264
C6 1.304 0.673 -0.264
C7 1.304 -0.673 -0.264
C8 -1.304 -0.673 -0.264
H9 -1.948 1.422 -0.710
H10 1.948 1.422 -0.710
H11 1.948 -1.422 -0.710
H12 -1.948 -1.422 -0.710

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57521.09072.33361.52741.52742.11032.11032.39092.39093.19303.1930
C21.57522.33361.09072.11032.11031.52741.52743.19303.19302.39092.3909
H31.09072.33362.70212.26292.26292.95942.95942.91432.91434.02194.0219
H42.33361.09072.70212.95942.95942.26292.26294.02194.02192.91432.9143
C51.52742.11032.26292.95942.60862.93551.34621.08343.36733.89442.2364
C61.52742.11032.26292.95942.60861.34622.93553.36731.08342.23643.8944
C72.11031.52742.95942.26292.93551.34622.60863.89442.23641.08343.3673
C82.11031.52742.95942.26291.34622.93552.60862.23643.89443.36731.0834
H92.39093.19302.91434.02191.08343.36733.89442.23643.89664.82372.8433
H102.39093.19302.91434.02193.36731.08342.23643.89443.89662.84334.8237
H113.19302.39094.02192.91433.89442.23641.08343.36734.82372.84333.8966
H123.19302.39094.02192.91432.23643.89443.36731.08342.84334.82373.8966

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 121.102 C1 C2 H7 85.700
C1 C2 H8 85.700 C1 C5 H8 94.300
C1 C5 H9 131.888 C1 C6 H7 94.300
C1 C6 H10 131.888 C2 C1 C3 121.102
C2 C1 C5 85.700 C2 C1 C6 85.700
C2 H7 C6 94.300 C2 H7 H11 131.888
C2 H8 C5 94.300 C2 H8 H12 131.888
C3 C1 C5 118.663 C3 C1 C6 118.663
C4 C2 H7 118.663 C4 C2 H8 118.663
C5 C1 C6 117.285 C5 H8 H12 133.702
C6 H7 H11 133.702 H7 C6 H10 133.702
H8 C5 H9 133.702
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.072      
2 C -0.072      
3 H 0.146      
4 H 0.146      
5 C -0.167      
6 C -0.167      
7 C -0.167      
8 C -0.167      
9 H 0.131      
10 H 0.131      
11 H 0.131      
12 H 0.131      


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 -0.048 0.048
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.626 0.000 0.000
y 0.000 -33.440 0.000
z 0.000 0.000 -36.941
Traceless
 xyz
x -1.436 0.000 0.000
y 0.000 3.343 0.000
z 0.000 0.000 -1.908
Polar
3z2-r2-3.815
x2-y2-3.186
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.025 0.000 0.000
y 0.000 10.188 0.000
z 0.000 0.000 7.404


<r2> (average value of r2) Å2
<r2> 119.547
(<r2>)1/2 10.934