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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-37.454619
Energy at 298.15K-37.460999
HF Energy-37.454619
Nuclear repulsion energy101.900235
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/CEP-121G
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 3183 3102 0.00 431.09 0.11 0.20
2 A1g 984 959 0.00 73.12 0.09 0.17
3 A2g 1364 1329 0.00 0.00 0.75 0.86
4 A2u 711 693 136.27 0.00 0.00 0.00
5 B1u 3135 3055 0.00 0.00 0.00 0.00
6 B1u 1018 992 0.00 0.00 0.00 0.00
7 B2g 1039 1012 0.00 0.00 0.75 0.86
8 B2g 713 695 0.00 0.00 0.75 0.86
9 B2u 1342 1308 0.00 0.00 0.00 0.00
10 B2u 1183 1153 0.00 0.00 0.00 0.00
11 E1g 886 864 0.00 0.92 0.75 0.86
11 E1g 886 864 0.00 0.92 0.75 0.86
12 E1u 3167 3086 80.34 0.00 0.00 0.00
12 E1u 3167 3086 80.40 0.00 0.00 0.00
13 E1u 1495 1457 9.03 0.00 0.00 0.00
13 E1u 1495 1457 9.03 0.00 0.00 0.00
14 E1u 1048 1021 6.02 0.00 0.00 0.00
14 E1u 1048 1021 6.02 0.00 0.00 0.00
15 E2g 3147 3066 0.00 146.77 0.75 0.86
15 E2g 3147 3066 0.00 146.81 0.75 0.86
16 E2g 1618 1577 0.00 13.86 0.75 0.86
16 E2g 1618 1577 0.00 13.87 0.75 0.86
17 E2g 1202 1171 0.00 7.91 0.75 0.86
17 E2g 1202 1171 0.00 7.90 0.75 0.86
18 E2g 617 602 0.00 4.91 0.75 0.86
18 E2g 617 602 0.00 4.91 0.75 0.86
19 E2u 999 973 0.00 0.00 0.00 0.00
19 E2u 999 973 0.00 0.00 0.00 0.00
20 E2u 415 404 0.00 0.00 0.00 0.00
20 E2u 415 404 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21928.9 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 21369.7 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/CEP-121G
ABC
0.18516 0.18516 0.09258

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.415 0.000
C2 1.226 0.708 0.000
C3 1.226 -0.708 0.000
C4 0.000 -1.415 0.000
C5 -1.226 -0.708 0.000
C6 -1.226 0.708 0.000
H7 0.000 2.503 0.000
H8 2.168 1.252 0.000
H9 2.168 -1.252 0.000
H10 0.000 -2.503 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
C11.41522.45112.83032.45111.41521.08822.17423.43693.91863.43692.1742
C21.41521.41522.45112.83032.45112.17421.08822.17423.43693.91863.4369
C32.45111.41521.41522.45112.83033.43692.17421.08822.17423.43693.9186
C42.83032.45111.41521.41522.45113.91863.43692.17421.08822.17423.4369
C52.45112.83032.45111.41521.41523.43693.91863.43692.17421.08822.1742
C61.41522.45112.83032.45111.41522.17423.43693.91863.43692.17421.0882
H71.08822.17423.43693.91863.43692.17422.50344.33605.00684.33602.5034
H82.17421.08822.17423.43693.91863.43692.50342.50344.33605.00684.3360
H93.43692.17421.08822.17423.43693.91864.33602.50342.50344.33605.0068
H103.91863.43692.17421.08822.17423.43695.00684.33602.50342.50344.3360
H113.43693.91863.43692.17421.08822.17424.33605.00684.33602.50342.5034
H122.17423.43693.91863.43692.17421.08822.50344.33605.00684.33602.5034

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.148      
2 C -0.148      
3 C -0.148      
4 C -0.148      
5 C -0.148      
6 C -0.148      
7 H 0.148      
8 H 0.148      
9 H 0.148      
10 H 0.148      
11 H 0.148      
12 H 0.148      


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 -31.791 0.000 0.000
y 0.000 -31.791 0.000
z 0.000 0.000 -40.187
Traceless
 xyz
x 4.198 0.000 0.000
y 0.000 4.198 0.000
z 0.000 0.000 -8.396
Polar
3z2-r2-16.792
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 11.413 0.000 0.000
y 0.000 11.414 0.000
z 0.000 0.000 4.370


<r2> (average value of r2) Å2
<r2> 107.271
(<r2>)1/2 10.357