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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBE1PBE/daug-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 PBE1PBE/daug-cc-pVDZ
 hartrees
Energy at 0K-231.992215
Energy at 298.15K-231.998579
HF Energy-231.992215
Nuclear repulsion energy203.304205
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 PBE1PBE/daug-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 3226 3226 0.00 442.14 0.09 0.16
2 A1g 1030 1030 0.00 99.61 0.06 0.11
3 A2g 1358 1358 0.00 0.00 0.75 0.86
4 A2u 690 690 114.40 0.00 0.00 0.00
5 B1u 3190 3190 0.00 0.00 0.00 0.00
6 B1u 1006 1006 0.00 0.00 0.00 0.00
7 B2g 1024 1024 0.00 0.00 0.75 0.86
8 B2g 718 718 0.00 0.00 0.75 0.86
9 B2u 1385 1385 0.00 0.00 0.00 0.00
10 B2u 1163 1163 0.00 0.00 0.00 0.00
11 E1g 872 872 0.00 4.59 0.75 0.86
11 E1g 872 872 0.00 4.59 0.75 0.86
12 E1u 3216 3216 29.48 0.00 0.00 0.00
12 E1u 3216 3216 29.48 0.00 0.00 0.00
13 E1u 1507 1507 7.00 0.00 0.00 0.00
13 E1u 1507 1507 7.01 0.00 0.00 0.00
14 E1u 1068 1068 6.18 0.00 0.00 0.00
14 E1u 1068 1068 6.18 0.00 0.00 0.00
15 E2g 3201 3201 0.00 94.60 0.75 0.86
15 E2g 3201 3201 0.00 94.59 0.75 0.86
16 E2g 1665 1665 0.00 12.93 0.75 0.86
16 E2g 1665 1665 0.00 12.84 0.75 0.86
17 E2g 1190 1190 0.00 7.19 0.75 0.86
17 E2g 1190 1190 0.00 7.28 0.75 0.86
18 E2g 615 615 0.00 0.53 0.75 0.86
18 E2g 615 615 0.00 0.54 0.75 0.86
19 E2u 999 999 0.00 0.00 0.00 0.00
19 E2u 999 999 0.00 0.00 0.00 0.00
20 E2u 411 411 0.00 0.00 0.00 0.00
20 E2u 411 411 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22137.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22137.5 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 PBE1PBE/daug-cc-pVDZ
ABC
0.19000 0.19000 0.09500

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/daug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.697 0.000
C3 1.208 -0.697 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.697 0.000
C6 -1.208 0.697 0.000
H7 0.000 2.485 0.000
H8 2.152 1.243 0.000
H9 2.152 -1.243 0.000
H10 0.000 -2.485 0.000
H11 -2.152 -1.243 0.000
H12 -2.152 1.243 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39492.41612.78992.41611.39491.09022.15763.40423.88013.40422.1576
C21.39491.39492.41612.78992.41612.15761.09022.15763.40423.88013.4042
C32.41611.39491.39492.41612.78993.40422.15761.09022.15763.40423.8801
C42.78992.41611.39491.39492.41613.88013.40422.15761.09022.15763.4042
C52.41612.78992.41611.39491.39493.40423.88013.40422.15761.09022.1576
C61.39492.41612.78992.41611.39492.15763.40423.88013.40422.15761.0902
H71.09022.15763.40423.88013.40422.15762.48514.30444.97034.30442.4851
H82.15761.09022.15763.40423.88013.40422.48512.48514.30444.97034.3044
H93.40422.15761.09022.15763.40423.88014.30442.48512.48514.30444.9703
H103.88013.40422.15761.09022.15763.40424.97034.30442.48512.48514.3044
H113.40423.88013.40422.15761.09022.15764.30444.97034.30442.48512.4851
H122.15763.40423.88013.40422.15761.09022.48514.30444.97034.30442.4851

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 PBE1PBE/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.948      
2 C 0.948      
3 C 0.948      
4 C 0.948      
5 C 0.948      
6 C 0.948      
7 H -0.948      
8 H -0.948      
9 H -0.948      
10 H -0.948      
11 H -0.948      
12 H -0.948      


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 -31.898 0.000 0.000
y 0.000 -31.898 0.000
z 0.000 0.000 -39.957
Traceless
 xyz
x 4.030 0.000 0.000
y 0.000 4.030 0.000
z 0.000 0.000 -8.060
Polar
3z2-r2-16.119
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 12.116 0.000 0.000
y 0.000 12.116 0.000
z 0.000 0.000 6.611


<r2> (average value of r2) Å2
<r2> 128.707
(<r2>)1/2 11.345