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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/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 B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.327739
Energy at 298.15K-232.334069
HF Energy-232.327739
Nuclear repulsion energy204.020415
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 B3LYP/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 3189 3083 0.00 412.18 0.10 0.19
2 A1g 1013 980 0.00 92.46 0.01 0.03
3 A2g 1384 1338 0.00 0.00 0.75 0.86
4 A2u 691 668 110.00 0.00 0.00 0.00
5 B1u 3150 3046 0.00 0.00 0.00 0.00
6 B1u 944 913 0.00 0.00 0.00 0.00
7 B2g 1024 990 0.00 0.00 0.75 0.86
8 B2g 706 682 0.00 0.00 0.75 0.86
9 B2u 1333 1289 0.00 0.00 0.00 0.00
10 B2u 1175 1136 0.00 0.00 0.00 0.00
11 E1g 869 841 0.00 1.35 0.75 0.86
11 E1g 869 841 0.00 1.35 0.75 0.86
12 E1u 3179 3074 33.90 0.00 0.00 0.00
12 E1u 3179 3074 33.90 0.00 0.00 0.00
13 E1u 1513 1463 6.48 0.00 0.00 0.00
13 E1u 1513 1463 6.48 0.00 0.00 0.00
14 E1u 1060 1025 5.11 0.00 0.00 0.00
14 E1u 1060 1025 5.11 0.00 0.00 0.00
15 E2g 3163 3058 0.00 128.14 0.75 0.86
15 E2g 3163 3058 0.00 128.16 0.75 0.86
16 E2g 1631 1578 0.00 13.11 0.75 0.86
16 E2g 1631 1578 0.00 13.01 0.75 0.86
17 E2g 1199 1159 0.00 5.55 0.75 0.86
17 E2g 1199 1159 0.00 5.52 0.75 0.86
18 E2g 620 599 0.00 3.33 0.75 0.86
18 E2g 620 599 0.00 3.31 0.75 0.86
19 E2u 998 966 0.00 0.00 0.00 0.00
19 E2u 998 966 0.00 0.00 0.00 0.00
20 E2u 412 398 0.00 0.00 0.00 0.00
20 E2u 412 398 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21946.8 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 21222.6 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 B3LYP/6-311+G(3df,2p)
ABC
0.19124 0.19124 0.09562

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.391 0.000
C2 1.205 0.695 0.000
C3 1.205 -0.695 0.000
C4 0.000 -1.391 0.000
C5 -1.205 -0.695 0.000
C6 -1.205 0.695 0.000
H7 0.000 2.473 0.000
H8 2.142 1.237 0.000
H9 2.142 -1.237 0.000
H10 0.000 -2.473 0.000
H11 -2.142 -1.237 0.000
H12 -2.142 1.237 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39102.40932.78202.40931.39101.08222.14743.38993.86423.38992.1474
C21.39101.39102.40932.78202.40932.14741.08222.14743.38993.86423.3899
C32.40931.39101.39102.40932.78203.38992.14741.08222.14743.38993.8642
C42.78202.40931.39101.39102.40933.86423.38992.14741.08222.14743.3899
C52.40932.78202.40931.39101.39103.38993.86423.38992.14741.08222.1474
C61.39102.40932.78202.40931.39102.14743.38993.86423.38992.14741.0822
H71.08222.14743.38993.86423.38992.14742.47324.28374.94644.28372.4732
H82.14741.08222.14743.38993.86423.38992.47322.47324.28374.94644.2837
H93.38992.14741.08222.14743.38993.86424.28372.47322.47324.28374.9464
H103.86423.38992.14741.08222.14743.38994.94644.28372.47322.47324.2837
H113.38993.86423.38992.14741.08222.14744.28374.94644.28372.47322.4732
H122.14743.38993.86423.38992.14741.08222.47324.28374.94644.28372.4732

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 B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.129      
2 C -0.129      
3 C -0.129      
4 C -0.129      
5 C -0.129      
6 C -0.129      
7 H 0.129      
8 H 0.129      
9 H 0.129      
10 H 0.129      
11 H 0.129      
12 H 0.129      


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 -32.293 0.000 0.000
y 0.000 -32.293 0.000
z 0.000 0.000 -40.047
Traceless
 xyz
x 3.877 0.000 0.000
y 0.000 3.877 0.000
z 0.000 0.000 -7.753
Polar
3z2-r2-15.507
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 11.963 0.000 0.000
y 0.000 11.963 0.000
z 0.000 0.000 6.582


<r2> (average value of r2) Å2
<r2> 128.139
(<r2>)1/2 11.320