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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at BLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.216394
Energy at 298.15K-232.222580
HF Energy-232.216394
Nuclear repulsion energy202.631131
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 BLYP/6-311+G(3df,2p)
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 3109 3092 0.00 445.45 0.10 0.19
2 A1g 980 975 0.00 96.80 0.01 0.02
3 A2g 1348 1340 0.00 0.00 0.75 0.86
4 A2u 668 664 104.01 0.00 0.00 0.00
5 B1u 3069 3053 0.00 0.00 0.00 0.00
6 B1u 914 909 0.00 0.00 0.00 0.00
7 B2g 985 979 0.00 0.00 0.75 0.86
8 B2g 686 682 0.00 0.00 0.75 0.86
9 B2u 1304 1297 0.00 0.00 0.00 0.00
10 B2u 1152 1145 0.00 0.00 0.00 0.00
11 E1g 838 833 0.00 1.14 0.75 0.86
11 E1g 838 833 0.00 1.14 0.75 0.86
12 E1u 3098 3081 41.32 0.00 0.00 0.00
12 E1u 3098 3081 41.32 0.00 0.00 0.00
13 E1u 1469 1461 5.04 0.00 0.00 0.00
13 E1u 1469 1461 5.04 0.00 0.00 0.00
14 E1u 1029 1023 4.92 0.00 0.00 0.00
14 E1u 1029 1023 4.91 0.00 0.00 0.00
15 E2g 3083 3066 0.00 140.96 0.75 0.86
15 E2g 3083 3066 0.00 141.00 0.75 0.86
16 E2g 1569 1561 0.00 12.68 0.75 0.86
16 E2g 1569 1561 0.00 12.59 0.75 0.86
17 E2g 1169 1162 0.00 5.88 0.75 0.86
17 E2g 1169 1162 0.00 5.89 0.75 0.86
18 E2g 605 601 0.00 3.37 0.75 0.86
18 E2g 605 601 0.00 3.39 0.75 0.86
19 E2u 959 954 0.00 0.00 0.00 0.00
19 E2u 959 954 0.00 0.00 0.00 0.00
20 E2u 398 396 0.00 0.00 0.00 0.00
20 E2u 398 396 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21323.3 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 21206.0 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 BLYP/6-311+G(3df,2p)
ABC
0.18862 0.18862 0.09431

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311+G(3df,2p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.401 0.000
C2 1.213 0.700 0.000
C3 1.213 -0.700 0.000
C4 0.000 -1.401 0.000
C5 -1.213 -0.700 0.000
C6 -1.213 0.700 0.000
H7 0.000 2.489 0.000
H8 2.156 1.245 0.000
H9 2.156 -1.245 0.000
H10 0.000 -2.489 0.000
H11 -2.156 -1.245 0.000
H12 -2.156 1.245 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40082.42622.80152.42621.40081.08862.16153.41263.89013.41262.1615
C21.40081.40082.42622.80152.42622.16151.08862.16153.41263.89013.4126
C32.42621.40081.40082.42622.80153.41262.16151.08862.16153.41263.8901
C42.80152.42621.40081.40082.42623.89013.41262.16151.08862.16153.4126
C52.42622.80152.42621.40081.40083.41263.89013.41262.16151.08862.1615
C61.40082.42622.80152.42621.40082.16153.41263.89013.41262.16151.0886
H71.08862.16153.41263.89013.41262.16152.48944.31174.97874.31172.4894
H82.16151.08862.16153.41263.89013.41262.48942.48944.31174.97874.3117
H93.41262.16151.08862.16153.41263.89014.31172.48942.48944.31174.9787
H103.89013.41262.16151.08862.16153.41264.97874.31172.48942.48944.3117
H113.41263.89013.41262.16151.08862.16154.31174.97874.31172.48942.4894
H122.16153.41263.89013.41262.16151.08862.48944.31174.97874.31172.4894

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 BLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.131      
2 C -0.131      
3 C -0.131      
4 C -0.131      
5 C -0.131      
6 C -0.131      
7 H 0.131      
8 H 0.131      
9 H 0.131      
10 H 0.131      
11 H 0.131      
12 H 0.131      


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 -32.779 0.000 0.000
y 0.000 -32.779 0.000
z 0.000 0.000 -40.154
Traceless
 xyz
x 3.688 0.000 0.000
y 0.000 3.688 0.000
z 0.000 0.000 -7.375
Polar
3z2-r2-14.751
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 12.397 0.000 0.000
y 0.000 12.397 0.000
z 0.000 0.000 6.747


<r2> (average value of r2) Å2
<r2> 129.827
(<r2>)1/2 11.394