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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBEultrafine/aug-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 PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-231.963056
Energy at 298.15K-231.969225
HF Energy-231.963056
Nuclear repulsion energy201.838024
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/aug-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 3135 3116 0.00 471.13 0.09 0.17
2 A1g 995 989 0.00 89.04 0.03 0.06
3 A2g 1305 1297 0.00 0.00 0.75 0.86
4 A2u 655 651 107.43 0.00 0.00 0.00
5 B1u 3102 3083 0.00 0.00 0.00 0.00
6 B1u 968 962 0.00 0.00 0.00 0.00
7 B2g 969 963 0.00 0.00 0.75 0.86
8 B2g 703 699 0.00 0.00 0.75 0.86
9 B2u 1361 1353 0.00 0.00 0.00 0.00
10 B2u 1130 1123 0.00 0.00 0.00 0.00
11 E1g 825 820 0.00 0.43 0.75 0.86
11 E1g 825 820 0.00 0.43 0.75 0.86
12 E1u 3125 3106 35.47 0.00 0.00 0.00
12 E1u 3125 3106 35.47 0.00 0.00 0.00
13 E1u 1447 1438 5.54 0.00 0.00 0.00
13 E1u 1447 1438 5.54 0.00 0.00 0.00
14 E1u 1031 1025 6.15 0.00 0.00 0.00
14 E1u 1031 1025 6.15 0.00 0.00 0.00
15 E2g 3110 3091 0.00 141.34 0.75 0.86
15 E2g 3110 3091 0.00 141.39 0.75 0.86
16 E2g 1592 1583 0.00 11.82 0.75 0.86
16 E2g 1592 1583 0.00 11.94 0.75 0.86
17 E2g 1153 1146 0.00 7.52 0.75 0.86
17 E2g 1153 1146 0.00 7.58 0.75 0.86
18 E2g 594 591 0.00 2.29 0.75 0.86
18 E2g 594 591 0.00 2.27 0.75 0.86
19 E2u 942 936 0.00 0.00 0.00 0.00
19 E2u 942 936 0.00 0.00 0.00 0.00
20 E2u 394 392 0.00 0.00 0.00 0.00
20 E2u 394 392 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21374.5 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 21244.1 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.18728 0.18728 0.09364

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.405 0.000
C2 1.217 0.702 0.000
C3 1.217 -0.702 0.000
C4 0.000 -1.405 0.000
C5 -1.217 -0.702 0.000
C6 -1.217 0.702 0.000
H7 0.000 2.504 0.000
H8 2.168 1.252 0.000
H9 2.168 -1.252 0.000
H10 0.000 -2.504 0.000
H11 -2.168 -1.252 0.000
H12 -2.168 1.252 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40492.43342.80992.43341.40491.09872.17363.42923.90863.42922.1736
C21.40491.40492.43342.80992.43342.17361.09872.17363.42923.90863.4292
C32.43341.40491.40492.43342.80993.42922.17361.09872.17363.42923.9086
C42.80992.43341.40491.40492.43343.90863.42922.17361.09872.17363.4292
C52.43342.80992.43341.40491.40493.42923.90863.42922.17361.09872.1736
C61.40492.43342.80992.43341.40492.17363.42923.90863.42922.17361.0987
H71.09872.17363.42923.90863.42922.17362.50374.33655.00734.33652.5037
H82.17361.09872.17363.42923.90863.42922.50372.50374.33655.00734.3365
H93.42922.17361.09872.17363.42923.90864.33652.50372.50374.33655.0073
H103.90863.42922.17361.09872.17363.42925.00734.33652.50372.50374.3365
H113.42923.90863.42922.17361.09872.17364.33655.00734.33652.50372.5037
H122.17363.42923.90863.42922.17361.09872.50374.33655.00734.33652.5037

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/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.678      
2 C 0.678      
3 C 0.678      
4 C 0.678      
5 C 0.678      
6 C 0.678      
7 H -0.678      
8 H -0.678      
9 H -0.678      
10 H -0.678      
11 H -0.678      
12 H -0.678      


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 -32.370 0.000 0.000
y 0.000 -32.370 0.000
z 0.000 0.000 -40.001
Traceless
 xyz
x 3.816 0.000 0.000
y 0.000 3.816 0.000
z 0.000 0.000 -7.631
Polar
3z2-r2-15.263
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 12.567 0.000 0.000
y 0.000 12.567 0.000
z 0.000 0.000 6.739


<r2> (average value of r2) Å2
<r2> 130.475
(<r2>)1/2 11.423