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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HSEh1PBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-229.182285
Energy at 298.15K-229.188404
HF Energy-229.182285
Nuclear repulsion energy202.266314
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/STO-3G
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 3528 3115 0.00 186.97 0.12 0.21
2 A1g 1090 963 0.00 35.56 0.10 0.18
3 A2g 1467 1295 0.00 0.00 0.75 0.86
4 A2u 728 643 41.23 0.00 0.00 0.00
5 B1u 3491 3083 0.00 0.00 0.00 0.00
6 B1u 1072 947 0.00 0.00 0.00 0.00
7 B2g 1085 959 0.00 0.00 0.75 0.86
8 B2g 763 673 0.00 0.00 0.75 0.86
9 B2u 1380 1218 0.00 0.00 0.00 0.00
10 B2u 1247 1101 0.00 0.00 0.00 0.00
11 E1g 927 819 0.00 5.63 0.75 0.86
11 E1g 927 819 0.00 5.63 0.75 0.86
12 E1u 3517 3106 12.24 0.00 0.00 0.00
12 E1u 3517 3106 12.24 0.00 0.00 0.00
13 E1u 1633 1442 18.43 0.00 0.00 0.00
13 E1u 1633 1442 18.43 0.00 0.00 0.00
14 E1u 1138 1005 0.13 0.00 0.00 0.00
14 E1u 1138 1005 0.13 0.00 0.00 0.00
15 E2g 3504 3094 0.00 72.32 0.75 0.86
15 E2g 3504 3094 0.00 72.32 0.75 0.86
16 E2g 1780 1572 0.00 17.01 0.75 0.86
16 E2g 1780 1572 0.00 17.01 0.75 0.86
17 E2g 1272 1124 0.00 13.50 0.75 0.86
17 E2g 1272 1124 0.00 13.50 0.75 0.86
18 E2g 648 572 0.00 2.53 0.75 0.86
18 E2g 648 572 0.00 2.53 0.75 0.86
19 E2u 1060 936 0.00 0.00 0.00 0.00
19 E2u 1060 936 0.00 0.00 0.00 0.00
20 E2u 432 381 0.00 0.00 0.00 0.00
20 E2u 432 381 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 23835.2 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 21048.9 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/STO-3G
ABC
0.18806 0.18806 0.09403

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

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 2.498 0.000
H8 2.163 1.249 0.000
H9 2.163 -1.249 0.000
H10 0.000 -2.498 0.000
H11 -2.163 -1.249 0.000
H12 -2.163 1.249 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40212.42852.80422.42851.40211.09572.16863.42163.89993.42162.1686
C21.40211.40212.42852.80422.42852.16861.09572.16863.42163.89993.4216
C32.42851.40211.40212.42852.80423.42162.16861.09572.16863.42163.8999
C42.80422.42851.40211.40212.42853.89993.42162.16861.09572.16863.4216
C52.42852.80422.42851.40211.40213.42163.89993.42162.16861.09572.1686
C61.40212.42852.80422.42851.40212.16863.42163.89993.42162.16861.0957
H71.09572.16863.42163.89993.42162.16862.49784.32644.99564.32642.4978
H82.16861.09572.16863.42163.89993.42162.49782.49784.32644.99564.3264
H93.42162.16861.09572.16863.42163.89994.32642.49782.49784.32644.9956
H103.89993.42162.16861.09572.16863.42164.99564.32642.49782.49784.3264
H113.42163.89993.42162.16861.09572.16864.32644.99564.32642.49782.4978
H122.16863.42163.89993.42162.16861.09572.49784.32644.99564.32642.4978

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.084      
2 C -0.084      
3 C -0.084      
4 C -0.084      
5 C -0.084      
6 C -0.084      
7 H 0.084      
8 H 0.084      
9 H 0.084      
10 H 0.084      
11 H 0.084      
12 H 0.084      


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 -30.120 0.000 0.000
y 0.000 -30.120 0.000
z 0.000 0.000 -35.160
Traceless
 xyz
x 2.520 0.000 0.000
y 0.000 2.520 0.000
z 0.000 0.000 -5.039
Polar
3z2-r2-10.079
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 6.899 0.000 0.000
y 0.000 6.899 0.000
z 0.000 0.000 0.967


<r2> (average value of r2) Å2
<r2> 128.070
(<r2>)1/2 11.317