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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/aug-cc-pVQZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at wB97X-D/aug-cc-pVQZ
 hartrees
Energy at 0K-232.259871
Energy at 298.15K-232.266278
HF Energy-232.259871
Nuclear repulsion energy204.546677
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 wB97X-D/aug-cc-pVQZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3219 3219 0.00 419.18 0.09 0.16
2 A1g 1029 1029 0.00 85.59 0.03 0.05
3 A2g 1392 1392 0.00 0.02 0.75 0.86
4 A2u 698 698 115.25 0.00 0.00 0.00
5 B1u 3183 3183 0.00 0.00 0.00 0.00
6 B1u 1034 1034 0.00 0.00 0.00 0.00
7 B2g 1044 1044 0.00 0.01 0.75 0.86
8 B2g 736 736 0.00 0.00 0.75 0.86
9 B2u 1337 1337 0.00 0.00 0.00 0.00
10 B2u 1179 1179 0.00 0.00 0.00 0.00
11 E1g 882 882 0.00 2.78 0.75 0.86
11 E1g 882 882 0.00 2.28 0.75 0.86
12 E1u 3209 3209 31.40 0.00 0.00 0.00
12 E1u 3209 3209 31.47 0.00 0.00 0.00
13 E1u 1530 1530 7.44 0.00 0.00 0.00
13 E1u 1530 1530 7.43 0.00 0.00 0.00
14 E1u 1073 1073 5.72 0.00 0.00 0.00
14 E1u 1073 1073 5.71 0.00 0.00 0.00
15 E2g 3193 3193 0.00 126.88 0.75 0.86
15 E2g 3193 3193 0.00 125.28 0.75 0.86
16 E2g 1668 1668 0.00 11.29 0.75 0.86
16 E2g 1668 1668 0.00 10.05 0.75 0.86
17 E2g 1210 1210 0.00 5.25 0.75 0.86
17 E2g 1210 1210 0.00 5.20 0.75 0.86
18 E2g 628 628 0.00 3.56 0.75 0.86
18 E2g 628 628 0.00 3.30 0.74 0.85
19 E2u 1015 1015 0.00 0.00 0.00 0.00
19 E2u 1015 1015 0.00 0.00 0.00 0.00
20 E2u 416 416 0.00 0.00 0.00 0.00
20 E2u 416 416 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22249.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22249.2 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 wB97X-D/aug-cc-pVQZ
ABC
0.19228 0.19228 0.09614

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVQZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.201 0.693 0.000
C3 1.201 -0.693 0.000
C4 0.000 -1.387 0.000
C5 -1.201 -0.693 0.000
C6 -1.201 0.693 0.000
H7 0.000 2.468 0.000
H8 2.138 1.234 0.000
H9 2.138 -1.234 0.000
H10 0.000 -2.468 0.000
H11 -2.138 -1.234 0.000
H12 -2.138 1.234 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38692.40222.77392.40221.38691.08152.14323.38243.85543.38242.1432
C21.38691.38692.40222.77392.40222.14321.08152.14323.38243.85543.3824
C32.40221.38691.38692.40222.77393.38242.14321.08152.14323.38243.8554
C42.77392.40221.38691.38692.40223.85543.38242.14321.08152.14323.3824
C52.40222.77392.40221.38691.38693.38243.85543.38242.14321.08152.1432
C61.38692.40222.77392.40221.38692.14323.38243.85543.38242.14321.0815
H71.08152.14323.38243.85543.38242.14322.46854.27554.93694.27552.4685
H82.14321.08152.14323.38243.85543.38242.46852.46854.27554.93694.2755
H93.38242.14321.08152.14323.38243.85544.27552.46852.46854.27554.9369
H103.85543.38242.14321.08152.14323.38244.93694.27552.46852.46854.2755
H113.38243.85543.38242.14321.08152.14324.27554.93694.27552.46852.4685
H122.14323.38243.85543.38242.14321.08152.46854.27554.93694.27552.4685

picture of Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.000 C1 C2 H8 120.000
C1 C6 C5 120.000 C1 C6 H12 120.000
C2 C1 C6 120.000 C2 C1 H7 120.000
C2 C3 C4 120.000 C2 C3 H9 120.000
C3 C2 H8 120.000 C3 C4 C5 120.000
C3 C4 H10 120.000 C4 C3 H9 120.000
C4 C5 C6 120.000 C4 C5 H11 120.000
C5 C4 H10 120.000 C5 C6 H12 120.000
C6 C1 H7 120.000 C6 C5 H11 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.094      
2 C -0.094      
3 C -0.094      
4 C -0.094      
5 C -0.094      
6 C -0.094      
7 H 0.094      
8 H 0.094      
9 H 0.094      
10 H 0.094      
11 H 0.094      
12 H 0.094      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.717 0.000 0.000
y 0.000 -31.717 0.000
z 0.000 0.000 -39.611
Traceless
 xyz
x 3.947 0.000 0.000
y 0.000 3.947 0.000
z 0.000 0.000 -7.894
Polar
3z2-r2-15.788
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.856 0.000 0.000
y 0.000 11.852 0.000
z 0.000 0.000 6.556


<r2> (average value of r2) Å2
<r2> 127.262
(<r2>)1/2 11.281