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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/daug-cc-pVDZ

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/daug-cc-pVDZ
 hartrees
Energy at 0K-232.190397
Energy at 298.15K 
HF Energy-232.190397
Nuclear repulsion energy203.303838
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/daug-cc-pVDZ
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 2756 2756 0.00 0.00 0.15 0.26
2 A1g 1019 1019 0.00 865521.80 0.15 0.26
3 A2g 1356 1356 0.00 0.00 0.75 0.86
4 A2u 1155i 1155i 140.91 0.00 0.00 0.00
5 B1u 2723 2723 0.00 0.00 0.35 0.52
6 B1u 1012 1012 0.00 0.00 0.16 0.27
7 B2g 740 740 0.00 0.00 0.75 0.86
8 B2g 2583i 2583i 0.00 0.00 0.75 0.86
9 B2u 1351 1351 0.00 0.00 0.00 0.00
10 B2u 1170 1170 0.00 0.00 0.00 0.00
11 E1g 1472i 1472i 0.00 0.00 0.75 0.86
11 E1g 1472i 1472i 0.00 0.00 0.75 0.86
12 E1u 2734 2734 17.96 0.00 0.16 0.27
12 E1u 2734 2734 18.03 0.00 0.15 0.27
13 E1u 1346 1346 2.63 0.00 0.00 0.00
13 E1u 1346 1346 2.64 0.00 0.00 0.00
14 E1u 646 646 16.75 0.00 0.00 0.00
14 E1u 646 646 16.76 0.00 0.00 0.00
15 E2g 2705 2705 0.00 2339130.00 0.75 0.86
15 E2g 2705 2705 0.00 0.00 0.75 0.86
16 E2g 1641 1641 0.00 101480.00 0.75 0.86
16 E2g 1641 1641 0.00 101552.90 0.75 0.86
17 E2g 775 775 0.00 402003.30 0.75 0.86
17 E2g 775 775 0.00 401840.40 0.75 0.86
18 E2g 323i 323i 0.00 1681000.00 0.75 0.86
18 E2g 323i 323i 0.00 0.00 0.75 0.86
19 E2u 485 485 0.00 0.00 0.00 0.00
19 E2u 485 485 0.00 0.00 0.00 0.00
20 E2u 2141i 2141i 0.00 0.00 0.00 0.00
20 E2u 2141i 2141i 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 10590.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 10590.8 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/daug-cc-pVDZ
ABC
0.18999 0.18999 0.09499

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.698 0.000
C3 1.208 -0.698 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.698 0.000
C6 -1.208 0.698 0.000
H7 0.000 2.485 0.000
H8 2.152 1.242 0.000
H9 2.152 -1.242 0.000
H10 0.000 -2.485 0.000
H11 -2.152 -1.242 0.000
H12 -2.152 1.242 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39512.41632.79012.41631.39511.08962.15723.40393.87983.40392.1572
C21.39511.39512.41632.79012.41632.15721.08962.15723.40393.87983.4039
C32.41631.39511.39512.41632.79013.40392.15721.08962.15723.40393.8798
C42.79012.41631.39511.39512.41633.87983.40392.15721.08962.15723.4039
C52.41632.79012.41631.39511.39513.40393.87983.40392.15721.08962.1572
C61.39512.41632.79012.41631.39512.15723.40393.87983.40392.15721.0896
H71.08962.15723.40393.87983.40392.15722.48474.30364.96944.30362.4847
H82.15721.08962.15723.40393.87983.40392.48472.48474.30364.96944.3036
H93.40392.15721.08962.15723.40393.87984.30362.48472.48474.30364.9694
H103.87983.40392.15721.08962.15723.40394.96944.30362.48472.48474.3036
H113.40393.87983.40392.15721.08962.15724.30364.96944.30362.48472.4847
H122.15723.40393.87983.40392.15721.08962.48474.30364.96944.30362.4847

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/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.981      
2 C 0.981      
3 C 0.981      
4 C 0.981      
5 C 0.981      
6 C 0.981      
7 H -0.981      
8 H -0.981      
9 H -0.981      
10 H -0.981      
11 H -0.981      
12 H -0.981      


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 -31.819 0.000 0.000
y 0.000 -31.819 0.000
z 0.000 0.000 -39.971
Traceless
 xyz
x 4.076 0.000 0.000
y 0.000 4.076 0.000
z 0.000 0.000 -8.152
Polar
3z2-r2-16.303
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 12.093 0.000 0.000
y 0.000 12.089 0.000
z 0.000 0.000 6.703


<r2> (average value of r2) Å2
<r2> 128.677
(<r2>)1/2 11.344