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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBEultrafine/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/cc-pVDZ
 hartrees
Energy at 0K-231.951736
Energy at 298.15K-231.957926
HF Energy-231.951736
Nuclear repulsion energy201.871295
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-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1g 3138 3120 0.00 442.56 0.10 0.19
2 A1g 1000 995 0.00 56.57 0.09 0.17
3 A2g 1314 1306 0.00 0.00 0.75 0.86
4 A2u 666 662 74.47 0.00 0.00 0.00
5 B1u 3101 3083 0.00 0.00 0.00 0.00
6 B1u 980 975 0.00 0.00 0.00 0.00
7 B2g 984 978 0.00 0.00 0.75 0.86
8 B2g 704 699 0.00 0.00 0.75 0.86
9 B2u 1370 1362 0.00 0.00 0.00 0.00
10 B2u 1128 1122 0.00 0.00 0.00 0.00
11 E1g 835 830 0.00 5.03 0.75 0.86
11 E1g 835 830 0.00 5.03 0.75 0.86
12 E1u 3127 3109 36.39 0.00 0.00 0.00
12 E1u 3127 3109 36.39 0.00 0.00 0.00
13 E1u 1461 1452 5.82 0.00 0.00 0.00
13 E1u 1461 1452 5.82 0.00 0.00 0.00
14 E1u 1035 1029 5.04 0.00 0.00 0.00
14 E1u 1035 1029 5.04 0.00 0.00 0.00
15 E2g 3111 3093 0.00 154.51 0.75 0.86
15 E2g 3111 3093 0.00 154.51 0.75 0.86
16 E2g 1605 1596 0.00 9.23 0.75 0.86
16 E2g 1605 1596 0.00 9.23 0.75 0.86
17 E2g 1153 1147 0.00 10.28 0.75 0.86
17 E2g 1153 1147 0.00 10.28 0.75 0.86
18 E2g 597 593 0.00 3.56 0.75 0.86
18 E2g 597 593 0.00 3.56 0.75 0.86
19 E2u 949 944 0.00 0.00 0.00 0.00
19 E2u 949 944 0.00 0.00 0.00 0.00
20 E2u 397 395 0.00 0.00 0.00 0.00
20 E2u 397 395 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21462.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 21337.8 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-pVDZ
ABC
0.18738 0.18738 0.09369

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.404 0.000
C2 1.216 0.702 0.000
C3 1.216 -0.702 0.000
C4 0.000 -1.404 0.000
C5 -1.216 -0.702 0.000
C6 -1.216 0.702 0.000
H7 0.000 2.505 0.000
H8 2.169 1.252 0.000
H9 2.169 -1.252 0.000
H10 0.000 -2.505 0.000
H11 -2.169 -1.252 0.000
H12 -2.169 1.252 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40432.43242.80872.43241.40431.10022.17433.42963.90893.42962.1743
C21.40431.40432.43242.80872.43242.17431.10022.17433.42963.90893.4296
C32.43241.40431.40432.43242.80873.42962.17431.10022.17433.42963.9089
C42.80872.43241.40431.40432.43243.90893.42962.17431.10022.17433.4296
C52.43242.80872.43241.40431.40433.42963.90893.42962.17431.10022.1743
C61.40432.43242.80872.43241.40432.17433.42963.90893.42962.17431.1002
H71.10022.17433.42963.90893.42962.17432.50454.33805.00904.33802.5045
H82.17431.10022.17433.42963.90893.42962.50452.50454.33805.00904.3380
H93.42962.17431.10022.17433.42963.90894.33802.50452.50454.33805.0090
H103.90893.42962.17431.10022.17433.42965.00904.33802.50452.50454.3380
H113.42963.90893.42962.17431.10022.17434.33805.00904.33802.50452.5045
H122.17433.42963.90893.42962.17431.10022.50454.33805.00904.33802.5045

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.019      
2 C 0.019      
3 C 0.019      
4 C 0.019      
5 C 0.019      
6 C 0.019      
7 H -0.019      
8 H -0.019      
9 H -0.019      
10 H -0.019      
11 H -0.019      
12 H -0.019      


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 -31.893 0.000 0.000
y 0.000 -31.893 0.000
z 0.000 0.000 -39.081
Traceless
 xyz
x 3.594 0.000 0.000
y 0.000 3.594 0.000
z 0.000 0.000 -7.189
Polar
3z2-r2-14.377
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 11.382 0.000 0.000
y 0.000 11.382 0.000
z 0.000 0.000 3.682


<r2> (average value of r2) Å2
<r2> 130.049
(<r2>)1/2 11.404