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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-231.935075
Energy at 298.15K-231.941221
HF Energy-231.935075
Nuclear repulsion energy202.187536
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 PBEPBEultrafine/6-31G*
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 3143 3091 0.00 389.85 0.10 0.19
2 A1g 1001 984 0.00 51.80 0.10 0.18
3 A2g 1337 1315 0.00 0.00 0.75 0.86
4 A2u 667 656 81.43 0.00 0.00 0.00
5 B1u 3107 3055 0.00 0.00 0.00 0.00
6 B1u 986 970 0.00 0.00 0.00 0.00
7 B2g 969 953 0.00 0.00 0.75 0.86
8 B2g 697 685 0.00 0.00 0.75 0.86
9 B2u 1367 1344 0.00 0.00 0.00 0.00
10 B2u 1153 1134 0.00 0.00 0.00 0.00
11 E1g 832 818 0.00 6.52 0.75 0.86
11 E1g 832 818 0.00 6.52 0.75 0.86
12 E1u 3132 3080 46.63 0.00 0.00 0.00
12 E1u 3132 3080 46.63 0.00 0.00 0.00
13 E1u 1484 1460 5.92 0.00 0.00 0.00
13 E1u 1484 1460 5.92 0.00 0.00 0.00
14 E1u 1045 1027 3.95 0.00 0.00 0.00
14 E1u 1045 1027 3.95 0.00 0.00 0.00
15 E2g 3116 3065 0.00 139.88 0.75 0.86
15 E2g 3116 3065 0.00 139.89 0.75 0.86
16 E2g 1613 1586 0.00 10.37 0.75 0.86
16 E2g 1613 1586 0.00 10.37 0.75 0.86
17 E2g 1175 1155 0.00 10.76 0.75 0.86
17 E2g 1175 1155 0.00 10.76 0.75 0.86
18 E2g 601 591 0.00 3.51 0.75 0.86
18 E2g 601 591 0.00 3.51 0.75 0.86
19 E2u 928 912 0.00 0.00 0.00 0.00
19 E2u 928 912 0.00 0.00 0.00 0.00
20 E2u 398 391 0.00 0.00 0.00 0.00
20 E2u 398 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21535.7 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 21180.4 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 PBEPBEultrafine/6-31G*
ABC
0.18790 0.18790 0.09395

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.403 0.000
C2 1.215 0.701 0.000
C3 1.215 -0.701 0.000
C4 0.000 -1.403 0.000
C5 -1.215 -0.701 0.000
C6 -1.215 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
C11.40292.42992.80582.42991.40291.09522.16893.42243.90103.42242.1689
C21.40291.40292.42992.80582.42992.16891.09522.16893.42243.90103.4224
C32.42991.40291.40292.42992.80583.42242.16891.09522.16893.42243.9010
C42.80582.42991.40291.40292.42993.90103.42242.16891.09522.16893.4224
C52.42992.80582.42991.40291.40293.42243.90103.42242.16891.09522.1689
C61.40292.42992.80582.42991.40292.16893.42243.90103.42242.16891.0952
H71.09522.16893.42243.90103.42242.16892.49814.32684.99624.32682.4981
H82.16891.09522.16893.42243.90103.42242.49812.49814.32684.99624.3268
H93.42242.16891.09522.16893.42243.90104.32682.49812.49814.32684.9962
H103.90103.42242.16891.09522.16893.42244.99624.32682.49812.49814.3268
H113.42243.90103.42242.16891.09522.16894.32684.99624.32682.49812.4981
H122.16893.42243.90103.42242.16891.09522.49814.32684.99624.32682.4981

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 PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.137      
2 C -0.137      
3 C -0.137      
4 C -0.137      
5 C -0.137      
6 C -0.137      
7 H 0.137      
8 H 0.137      
9 H 0.137      
10 H 0.137      
11 H 0.137      
12 H 0.137      


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 -31.188 0.000 0.000
y 0.000 -31.188 0.000
z 0.000 0.000 -38.674
Traceless
 xyz
x 3.743 0.000 0.000
y 0.000 3.743 0.000
z 0.000 0.000 -7.486
Polar
3z2-r2-14.971
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 10.804 0.000 0.000
y 0.000 10.804 0.000
z 0.000 0.000 3.166


<r2> (average value of r2) Å2
<r2> 129.331
(<r2>)1/2 11.372