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

using model chemistry: B2PLYP/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 B2PLYP/6-31G
 hartrees
Energy at 0K-231.692395
Energy at 298.15K 
HF Energy-231.509449
Nuclear repulsion energy206.714079
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/6-31G
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 3275 3275 7.62 264.23 0.03 0.06
2 A1 3168 3168 33.42 130.71 0.16 0.28
3 A1 1606 1606 0.04 20.15 0.05 0.10
4 A1 1182 1182 3.43 21.36 0.24 0.38
5 A1 1063 1063 3.14 15.65 0.75 0.86
6 A1 953 953 13.87 12.48 0.26 0.41
7 A1 844 844 4.88 7.93 0.68 0.81
8 A1 828 828 72.44 6.94 0.04 0.07
9 A1 401 401 4.09 13.24 0.64 0.78
10 A2 3236 3236 0.00 157.38 0.75 0.86
11 A2 1310 1310 0.00 2.19 0.75 0.86
12 A2 1248 1248 0.00 15.02 0.75 0.86
13 A2 956 956 0.00 0.26 0.75 0.86
14 A2 930 930 0.00 0.24 0.75 0.86
15 A2 798 798 0.00 4.94 0.75 0.86
16 A2 343 343 0.00 3.10 0.75 0.86
17 B1 3271 3271 48.15 55.06 0.75 0.86
18 B1 1582 1582 7.18 2.27 0.75 0.86
19 B1 1244 1244 0.72 4.40 0.75 0.86
20 B1 1125 1125 0.21 0.33 0.75 0.86
21 B1 1012 1012 0.77 9.53 0.75 0.86
22 B1 749 749 51.45 4.67 0.75 0.86
23 B2 3237 3237 25.37 41.91 0.75 0.86
24 B2 3159 3159 15.47 115.70 0.75 0.86
25 B2 1325 1325 30.52 0.02 0.75 0.86
26 B2 1186 1186 10.17 1.10 0.75 0.86
27 B2 965 965 9.02 0.19 0.75 0.86
28 B2 950 950 0.64 0.56 0.75 0.86
29 B2 837 837 7.30 2.39 0.75 0.86
30 B2 499 499 6.06 7.48 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21639.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21639.0 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/6-31G
ABC
0.25575 0.14652 0.11390

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.803 0.529
C2 0.000 -0.803 0.529
H3 0.000 1.373 1.458
H4 0.000 -1.373 1.458
C5 -1.316 0.677 -0.267
C6 1.316 0.677 -0.267
C7 1.316 -0.677 -0.267
C8 -1.316 -0.677 -0.267
H9 -1.960 1.424 -0.713
H10 1.960 1.424 -0.713
H11 1.960 -1.424 -0.713
H12 -1.960 -1.424 -0.713

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.60511.09012.36561.54301.54302.13402.13402.40232.40233.21623.2162
C21.60512.36561.09012.13402.13401.54301.54303.21623.21622.40232.4023
H31.09012.36562.74622.27862.27862.98492.98492.92542.92544.04734.0473
H42.36561.09012.74622.98492.98492.27862.27864.04734.04732.92542.9254
C51.54302.13402.27862.98492.63132.95911.35381.08293.38923.91712.2426
C61.54302.13402.27862.98492.63131.35382.95913.38921.08292.24263.9171
C72.13401.54302.98492.27862.95911.35382.63133.91712.24261.08293.3892
C82.13401.54302.98492.27861.35382.95912.63132.24263.91713.38921.0829
H92.40233.21622.92544.04731.08293.38923.91712.24263.91984.84562.8487
H102.40233.21622.92544.04733.38921.08292.24263.91713.91982.84874.8456
H113.21622.40234.04732.92543.91712.24261.08293.38924.84562.84873.9198
H123.21622.40234.04732.92542.24263.91713.38921.08292.84874.84563.9198

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 121.559 C1 C2 H7 85.329
C1 C2 H8 85.329 C1 C5 H8 94.671
C1 C5 H9 131.575 C1 C6 H7 94.671
C1 C6 H10 131.575 C2 C1 C3 121.559
C2 C1 C5 85.329 C2 C1 C6 85.329
C2 H7 C6 94.671 C2 H7 H11 131.575
C2 H8 C5 94.671 C2 H8 H12 131.575
C3 C1 C5 118.843 C3 C1 C6 118.843
C4 C2 H7 118.843 C4 C2 H8 118.843
C5 C1 C6 116.999 C5 H8 H12 133.650
C6 H7 H11 133.650 H7 C6 H10 133.650
H8 C5 H9 133.650
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.255      
2 C -0.255      
3 H 0.149      
4 H 0.149      
5 C -0.090      
6 C -0.090      
7 C -0.090      
8 C -0.090      
9 H 0.143      
10 H 0.143      
11 H 0.143      
12 H 0.143      


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 -0.043 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.498 0.000 0.000
y 0.000 -33.298 0.000
z 0.000 0.000 -36.131
Traceless
 xyz
x -0.784 0.000 0.000
y 0.000 2.516 0.000
z 0.000 0.000 -1.732
Polar
3z2-r2-3.465
x2-y2-2.200
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.111 0.000 0.000
y 0.000 9.202 0.000
z 0.000 0.000 5.479


<r2> (average value of r2) Å2
<r2> 120.721
(<r2>)1/2 10.987