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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B2PLYP/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 B2PLYP/daug-cc-pVDZ
 hartrees
Energy at 0K-232.022130
Energy at 298.15K-232.028456
HF Energy-231.750895
Nuclear repulsion energy202.478524
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/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 3210 3210 0.00 429.94 0.10 0.17
2 A1g 1019 1019 0.00 90.57 0.03 0.06
3 A2g 1361 1361 0.00 0.00 0.75 0.86
4 A2u 682 682 111.61 0.00 0.71 0.83
5 B1u 3150 3150 0.01 0.00 0.64 0.78
6 B1u 992 992 0.00 0.00 0.40 0.57
7 B2g 1006 1006 0.00 0.00 0.75 0.86
8 B2g 695 695 0.00 0.00 0.75 0.86
9 B2u 1367 1367 0.00 0.00 0.33 0.50
10 B2u 1165 1165 0.00 0.00 0.48 0.65
11 E1g 870 870 0.00 1.02 0.75 0.86
11 E1g 870 870 0.00 1.01 0.75 0.86
12 E1u 3205 3205 31.39 0.00 0.50 0.66
12 E1u 3203 3203 31.48 0.00 0.17 0.30
13 E1u 1499 1499 7.08 0.00 0.74 0.85
13 E1u 1498 1498 7.06 0.00 0.73 0.84
14 E1u 1069 1069 4.48 0.00 0.53 0.70
14 E1u 1068 1068 4.52 0.00 0.37 0.54
15 E2g 3166 3166 0.00 131.32 0.75 0.85
15 E2g 3163 3163 0.00 129.56 0.75 0.86
16 E2g 1636 1636 0.00 14.64 0.75 0.86
16 E2g 1635 1635 0.00 14.60 0.75 0.86
17 E2g 1191 1191 0.00 5.71 0.75 0.86
17 E2g 1191 1191 0.00 5.82 0.75 0.86
18 E2g 615 615 0.00 2.86 0.75 0.86
18 E2g 615 615 0.00 2.88 0.75 0.86
19 E2u 987 987 0.00 0.00 0.51 0.67
19 E2u 986 986 0.00 0.00 0.66 0.79
20 E2u 407 407 0.00 0.00 0.21 0.34
20 E2u 407 407 0.00 0.00 0.67 0.81

Unscaled Zero Point Vibrational Energy (zpe) 21963.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21963.5 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/daug-cc-pVDZ
ABC
0.18835 0.18835 0.09417

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/daug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.402 0.000
C2 1.214 0.701 0.000
C3 1.214 -0.701 0.000
C4 0.000 -1.402 0.000
C5 -1.214 -0.701 0.000
C6 -1.214 0.701 0.000
H7 0.000 2.492 0.000
H8 2.158 1.246 0.000
H9 2.158 -1.246 0.000
H10 0.000 -2.492 0.000
H11 -2.158 -1.246 0.000
H12 -2.158 1.246 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40172.42792.80352.42791.40171.08982.16343.41543.89333.41542.1634
C21.40171.40172.42792.80352.42792.16341.08982.16343.41543.89333.4154
C32.42791.40171.40172.42792.80353.41542.16341.08982.16343.41543.8933
C42.80352.42791.40171.40172.42793.89333.41542.16341.08982.16343.4154
C52.42792.80352.42791.40171.40173.41543.89333.41542.16341.08982.1634
C61.40172.42792.80352.42791.40172.16343.41543.89333.41542.16341.0898
H71.08982.16343.41543.89333.41542.16342.49154.31554.98314.31552.4915
H82.16341.08982.16343.41543.89333.41542.49152.49154.31554.98314.3155
H93.41542.16341.08982.16343.41543.89334.31552.49152.49154.31554.9831
H103.89333.41542.16341.08982.16343.41544.98314.31552.49152.49154.3155
H113.41543.89333.41542.16341.08982.16344.31554.98314.31552.49152.4915
H122.16343.41543.89333.41542.16341.08982.49154.31554.98314.31552.4915

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 B2PLYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.045      
2 C 1.045      
3 C 1.045      
4 C 1.045      
5 C 1.045      
6 C 1.045      
7 H -1.045      
8 H -1.045      
9 H -1.045      
10 H -1.045      
11 H -1.045      
12 H -1.045      


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 -32.640 0.000 0.000
y 0.000 -32.640 0.000
z 0.000 0.000 -40.488
Traceless
 xyz
x 3.924 0.000 0.000
y 0.000 3.924 0.000
z 0.000 0.000 -7.848
Polar
3z2-r2-15.696
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 12.293 0.000 0.000
y 0.000 12.293 0.000
z 0.000 0.000 6.755


<r2> (average value of r2) Å2
<r2> 130.001
(<r2>)1/2 11.402