return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/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 B3LYP/daug-cc-pVDZ
 hartrees
Energy at 0K-232.276289
Energy at 298.15K-232.282661
HF Energy-232.276289
Nuclear repulsion energy202.787344
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 B3LYP/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 3201 3201 0.00 340.15 0.09 0.17
2 A1g 1013 1013 0.00 64.73 0.03 0.07
3 A2g 1361 1361 0.00 0.00 0.75 0.86
4 A2u 689 689 111.24 0.00 0.00 0.00
5 B1u 3167 3167 0.00 0.00 0.00 0.00
6 B1u 1007 1007 0.00 0.00 0.00 0.00
7 B2g 1024 1024 0.00 0.00 0.75 0.86
8 B2g 717 717 0.00 0.00 0.75 0.86
9 B2u 1349 1349 0.00 0.00 0.00 0.00
10 B2u 1165 1165 0.00 0.00 0.00 0.00
11 E1g 872 872 0.00 2.30 0.75 0.86
11 E1g 872 872 0.00 2.30 0.75 0.86
12 E1u 3191 3191 35.01 0.00 0.00 0.00
12 E1u 3191 3191 35.01 0.00 0.00 0.00
13 E1u 1498 1498 6.18 0.00 0.00 0.00
13 E1u 1498 1498 6.18 0.00 0.00 0.00
14 E1u 1057 1057 5.58 0.00 0.00 0.00
14 E1u 1057 1057 5.58 0.00 0.00 0.00
15 E2g 3177 3177 0.00 39.56 0.75 0.86
15 E2g 3177 3177 0.00 39.55 0.75 0.86
16 E2g 1634 1634 0.00 33.02 0.75 0.86
16 E2g 1634 1634 0.00 32.95 0.75 0.86
17 E2g 1188 1188 0.00 8.43 0.75 0.86
17 E2g 1188 1188 0.00 8.32 0.75 0.86
18 E2g 617 617 0.00 0.06 0.75 0.86
18 E2g 617 617 0.00 0.06 0.75 0.86
19 E2u 997 997 0.00 0.00 0.00 0.00
19 E2u 997 997 0.00 0.00 0.00 0.00
20 E2u 421 421 0.00 0.00 0.00 0.00
20 E2u 421 421 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21997.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21997.0 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 B3LYP/daug-cc-pVDZ
ABC
0.18896 0.18896 0.09448

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/daug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.399 0.000
C2 1.212 0.700 0.000
C3 1.212 -0.700 0.000
C4 0.000 -1.399 0.000
C5 -1.212 -0.700 0.000
C6 -1.212 0.700 0.000
H7 0.000 2.489 0.000
H8 2.156 1.245 0.000
H9 2.156 -1.245 0.000
H10 0.000 -2.489 0.000
H11 -2.156 -1.245 0.000
H12 -2.156 1.245 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39922.42352.79842.42351.39921.08992.16123.41123.88833.41122.1612
C21.39921.39922.42352.79842.42352.16121.08992.16123.41123.88833.4112
C32.42351.39921.39922.42352.79843.41122.16121.08992.16123.41123.8883
C42.79842.42351.39921.39922.42353.88833.41122.16121.08992.16123.4112
C52.42352.79842.42351.39921.39923.41123.88833.41122.16121.08992.1612
C61.39922.42352.79842.42351.39922.16123.41123.88833.41122.16121.0899
H71.08992.16123.41123.88833.41122.16122.48914.31124.97824.31122.4891
H82.16121.08992.16123.41123.88833.41122.48912.48914.31124.97824.3112
H93.41122.16121.08992.16123.41123.88834.31122.48912.48914.31124.9782
H103.88833.41122.16121.08992.16123.41124.97824.31122.48912.48914.3112
H113.41123.88833.41122.16121.08992.16124.31124.97824.31122.48912.4891
H122.16123.41123.88833.41122.16121.08992.48914.31124.97824.31122.4891

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 B3LYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.198      
2 C 1.198      
3 C 1.198      
4 C 1.198      
5 C 1.198      
6 C 1.198      
7 H -1.198      
8 H -1.198      
9 H -1.198      
10 H -1.198      
11 H -1.198      
12 H -1.198      


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 -32.519 0.000 0.000
y 0.000 -32.519 0.000
z 0.000 0.000 -40.062
Traceless
 xyz
x 3.772 0.000 0.000
y 0.000 3.772 0.000
z 0.000 0.000 -7.543
Polar
3z2-r2-15.086
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 12.308 0.000 0.000
y 0.000 12.308 0.000
z 0.000 0.000 6.707


<r2> (average value of r2) Å2
<r2> 129.534
(<r2>)1/2 11.381