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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HSEh1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-231.992665
Energy at 298.15K-231.998998
HF Energy-231.992665
Nuclear repulsion energy203.706205
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 HSEh1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1g 3234 3086 0.00 378.78 0.10 0.18
2 A1g 1034 987 0.00 52.98 0.10 0.18
3 A2g 1377 1314 0.00 0.00 0.75 0.86
4 A2u 695 663 88.85 0.00 0.00 0.00
5 B1u 3198 3052 0.00 0.00 0.00 0.00
6 B1u 1016 970 0.00 0.00 0.00 0.00
7 B2g 1020 973 0.00 0.00 0.75 0.86
8 B2g 723 690 0.00 0.00 0.75 0.86
9 B2u 1387 1324 0.00 0.00 0.00 0.00
10 B2u 1179 1125 0.00 0.00 0.00 0.00
11 E1g 869 830 0.00 5.30 0.75 0.86
11 E1g 869 830 0.00 5.30 0.75 0.86
12 E1u 3224 3076 37.67 0.00 0.00 0.00
12 E1u 3224 3076 37.66 0.00 0.00 0.00
13 E1u 1529 1459 8.10 0.00 0.00 0.00
13 E1u 1529 1459 8.10 0.00 0.00 0.00
14 E1u 1076 1027 4.51 0.00 0.00 0.00
14 E1u 1076 1027 4.51 0.00 0.00 0.00
15 E2g 3208 3061 0.00 133.06 0.75 0.86
15 E2g 3208 3061 0.00 133.06 0.75 0.86
16 E2g 1677 1600 0.00 10.77 0.75 0.86
16 E2g 1677 1600 0.00 10.77 0.75 0.86
17 E2g 1205 1150 0.00 9.94 0.75 0.86
17 E2g 1205 1150 0.00 9.94 0.75 0.86
18 E2g 619 591 0.00 3.54 0.75 0.86
18 E2g 619 591 0.00 3.54 0.75 0.86
19 E2u 982 938 0.00 0.00 0.00 0.00
19 E2u 982 938 0.00 0.00 0.00 0.00
20 E2u 413 394 0.00 0.00 0.00 0.00
20 E2u 413 394 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22233.1 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 21217.1 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 HSEh1PBE/6-31G**
ABC
0.19071 0.19071 0.09535

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.393 0.000
C2 1.206 0.696 0.000
C3 1.206 -0.696 0.000
C4 0.000 -1.393 0.000
C5 -1.206 -0.696 0.000
C6 -1.206 0.696 0.000
H7 0.000 2.479 0.000
H8 2.147 1.239 0.000
H9 2.147 -1.239 0.000
H10 0.000 -2.479 0.000
H11 -2.147 -1.239 0.000
H12 -2.147 1.239 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39262.41212.78522.41211.39261.08622.15223.39653.87143.39652.1522
C21.39261.39262.41212.78522.41212.15221.08622.15223.39653.87143.3965
C32.41211.39261.39262.41212.78523.39652.15221.08622.15223.39653.8714
C42.78522.41211.39261.39262.41213.87143.39652.15221.08622.15223.3965
C52.41212.78522.41211.39261.39263.39653.87143.39652.15221.08622.1522
C61.39262.41212.78522.41211.39262.15223.39653.87143.39652.15221.0862
H71.08622.15223.39653.87143.39652.15222.47884.29354.95774.29352.4788
H82.15221.08622.15223.39653.87143.39652.47882.47884.29354.95774.2935
H93.39652.15221.08622.15223.39653.87144.29352.47882.47884.29354.9577
H103.87143.39652.15221.08622.15223.39654.95774.29352.47882.47884.2935
H113.39653.87143.39652.15221.08622.15224.29354.95774.29352.47882.4788
H122.15223.39653.87143.39652.15221.08622.47884.29354.95774.29352.4788

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 HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.122      
2 C -0.122      
3 C -0.122      
4 C -0.122      
5 C -0.122      
6 C -0.122      
7 H 0.122      
8 H 0.122      
9 H 0.122      
10 H 0.122      
11 H 0.122      
12 H 0.122      


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 -30.993 0.000 0.000
y 0.000 -30.993 0.000
z 0.000 0.000 -38.754
Traceless
 xyz
x 3.881 0.000 0.000
y 0.000 3.881 0.000
z 0.000 0.000 -7.762
Polar
3z2-r2-15.524
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 10.568 0.000 0.000
y 0.000 10.568 0.000
z 0.000 0.000 3.199


<r2> (average value of r2) Å2
<r2> 127.657
(<r2>)1/2 11.299