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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBEultrafine/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-232.014670
Energy at 298.15K-232.020877
HF Energy-232.014670
Nuclear repulsion energy203.016518
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/cc-pVTZ
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 3124 3103 0.00 449.37 0.12 0.21
2 A1g 996 989 0.00 63.66 0.07 0.14
3 A2g 1335 1326 0.00 0.00 0.75 0.86
4 A2u 663 659 98.11 0.00 0.00 0.00
5 B1u 3089 3068 0.00 0.00 0.00 0.00
6 B1u 995 988 0.00 0.00 0.00 0.00
7 B2g 980 973 0.00 0.00 0.75 0.86
8 B2g 706 701 0.00 0.00 0.75 0.86
9 B2u 1344 1334 0.00 0.00 0.00 0.00
10 B2u 1140 1132 0.00 0.00 0.00 0.00
11 E1g 834 828 0.00 0.69 0.75 0.86
11 E1g 834 828 0.00 0.69 0.75 0.86
12 E1u 3114 3093 37.91 0.00 0.00 0.00
12 E1u 3114 3093 37.90 0.00 0.00 0.00
13 E1u 1469 1459 7.12 0.00 0.00 0.00
13 E1u 1469 1459 7.12 0.00 0.00 0.00
14 E1u 1037 1029 5.24 0.00 0.00 0.00
14 E1u 1037 1029 5.24 0.00 0.00 0.00
15 E2g 3099 3077 0.00 144.68 0.75 0.86
15 E2g 3099 3077 0.00 144.66 0.75 0.86
16 E2g 1594 1583 0.00 8.59 0.75 0.86
16 E2g 1594 1583 0.00 8.58 0.75 0.86
17 E2g 1163 1155 0.00 7.40 0.75 0.86
17 E2g 1163 1155 0.00 7.41 0.75 0.86
18 E2g 601 597 0.00 3.33 0.75 0.86
18 E2g 601 597 0.00 3.31 0.75 0.86
19 E2u 945 939 0.00 0.00 0.00 0.00
19 E2u 945 939 0.00 0.00 0.00 0.00
20 E2u 396 394 0.00 0.00 0.00 0.00
20 E2u 396 394 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21437.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 21289.7 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/cc-pVTZ
ABC
0.18945 0.18945 0.09472

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.397 0.000
C2 1.210 0.699 0.000
C3 1.210 -0.699 0.000
C4 0.000 -1.397 0.000
C5 -1.210 -0.699 0.000
C6 -1.210 0.699 0.000
H7 0.000 2.488 0.000
H8 2.155 1.244 0.000
H9 2.155 -1.244 0.000
H10 0.000 -2.488 0.000
H11 -2.155 -1.244 0.000
H12 -2.155 1.244 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39712.41982.79422.41981.39711.09102.16023.40863.88523.40862.1602
C21.39711.39712.41982.79422.41982.16021.09102.16023.40863.88523.4086
C32.41981.39711.39712.41982.79423.40862.16021.09102.16023.40863.8852
C42.79422.41981.39711.39712.41983.88523.40862.16021.09102.16023.4086
C52.41982.79422.41981.39711.39713.40863.88523.40862.16021.09102.1602
C61.39712.41982.79422.41981.39712.16023.40863.88523.40862.16021.0910
H71.09102.16023.40863.88523.40862.16022.48814.30954.97624.30952.4881
H82.16021.09102.16023.40863.88523.40862.48812.48814.30954.97624.3095
H93.40862.16021.09102.16023.40863.88524.30952.48812.48814.30954.9762
H103.88523.40862.16021.09102.16023.40864.97624.30952.48812.48814.3095
H113.40863.88523.40862.16021.09102.16024.30954.97624.30952.48812.4881
H122.16023.40863.88523.40862.16021.09102.48814.30954.97624.30952.4881

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/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.098      
2 C -0.098      
3 C -0.098      
4 C -0.098      
5 C -0.098      
6 C -0.098      
7 H 0.098      
8 H 0.098      
9 H 0.098      
10 H 0.098      
11 H 0.098      
12 H 0.098      


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 -32.018 0.000 0.000
y 0.000 -32.018 0.000
z 0.000 0.000 -39.462
Traceless
 xyz
x 3.722 0.000 0.000
y 0.000 3.722 0.000
z 0.000 0.000 -7.444
Polar
3z2-r2-14.888
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 11.762 0.000 0.000
y 0.000 11.762 0.000
z 0.000 0.000 5.064


<r2> (average value of r2) Å2
<r2> 128.958
(<r2>)1/2 11.356