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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/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 B1B95/daug-cc-pVDZ
 hartrees
Energy at 0K-232.161056
Energy at 298.15K-232.167425
HF Energy-232.161056
Nuclear repulsion energy203.750002
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 B1B95/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 3232 3232 0.00 2180.30 0.11 0.20
2 A1g 1031 1031 0.00 6.44 0.75 0.86
3 A2g 1358 1358 0.00 0.00 0.75 0.86
4 A2u 692 692 109.87 0.00 0.00 0.00
5 B1u 3196 3196 0.00 0.00 0.00 0.00
6 B1u 1001 1001 0.00 0.00 0.00 0.00
7 B2g 1030 1030 0.00 0.00 0.75 0.86
8 B2g 719 719 0.00 0.00 0.75 0.86
9 B2u 1386 1386 0.00 0.00 0.00 0.00
10 B2u 1163 1163 0.00 0.00 0.00 0.00
11 E1g 876 876 0.00 4.27 0.75 0.86
11 E1g 876 876 0.00 4.39 0.75 0.86
12 E1u 3222 3222 32.79 0.00 0.00 0.00
12 E1u 3222 3222 32.70 0.00 0.00 0.00
13 E1u 1511 1511 6.46 0.00 0.00 0.00
13 E1u 1511 1511 6.51 0.00 0.00 0.00
14 E1u 1072 1072 5.54 0.00 0.00 0.00
14 E1u 1072 1072 5.59 0.00 0.00 0.00
15 E2g 3206 3206 0.00 168.73 0.75 0.86
15 E2g 3206 3206 0.00 168.33 0.75 0.86
16 E2g 1671 1671 0.00 28.78 0.75 0.86
16 E2g 1671 1671 0.00 28.57 0.75 0.86
17 E2g 1191 1191 0.00 0.94 0.75 0.86
17 E2g 1191 1191 0.00 0.96 0.75 0.86
18 E2g 610 610 0.00 28.06 0.75 0.86
18 E2g 610 610 0.00 27.85 0.75 0.86
19 E2u 1003 1003 0.00 0.00 0.00 0.00
19 E2u 1003 1003 0.00 0.00 0.00 0.00
20 E2u 414 414 0.00 0.00 0.00 0.00
20 E2u 414 414 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22179.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22179.8 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 B1B95/daug-cc-pVDZ
ABC
0.19083 0.19083 0.09541

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/daug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.392 0.000
C2 1.205 0.696 0.000
C3 1.205 -0.696 0.000
C4 0.000 -1.392 0.000
C5 -1.205 -0.696 0.000
C6 -1.205 0.696 0.000
H7 0.000 2.479 0.000
H8 2.147 1.240 0.000
H9 2.147 -1.240 0.000
H10 0.000 -2.479 0.000
H11 -2.147 -1.240 0.000
H12 -2.147 1.240 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39192.41092.78392.41091.39191.08752.15273.39663.87143.39662.1527
C21.39191.39202.41092.78392.41092.15271.08752.15273.39663.87143.3966
C32.41091.39201.39192.41092.78393.39662.15271.08752.15273.39663.8714
C42.78392.41091.39191.39192.41093.87143.39662.15271.08752.15273.3966
C52.41092.78392.41091.39191.39203.39663.87143.39662.15271.08752.1527
C61.39192.41092.78392.41091.39202.15273.39663.87143.39662.15271.0875
H71.08752.15273.39663.87143.39662.15272.47954.29464.95904.29462.4795
H82.15271.08752.15273.39663.87143.39662.47952.47954.29464.95904.2946
H93.39662.15271.08752.15273.39663.87144.29462.47952.47954.29464.9590
H103.87143.39662.15271.08752.15273.39664.95904.29462.47952.47954.2946
H113.39663.87143.39662.15271.08752.15274.29464.95904.29462.47952.4795
H122.15273.39663.87143.39662.15271.08752.47954.29464.95904.29462.4795

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 B1B95/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.052      
2 C 1.052      
3 C 1.052      
4 C 1.052      
5 C 1.052      
6 C 1.052      
7 H -1.052      
8 H -1.052      
9 H -1.052      
10 H -1.052      
11 H -1.052      
12 H -1.052      


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 -31.916 0.000 0.000
y 0.000 -31.916 0.000
z 0.000 0.000 -39.724
Traceless
 xyz
x 3.904 0.000 0.000
y 0.000 3.904 0.000
z 0.000 0.000 -7.808
Polar
3z2-r2-15.616
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 12.050 0.000 0.000
y 0.000 12.048 0.000
z 0.000 0.000 6.537


<r2> (average value of r2) Å2
<r2> 128.198
(<r2>)1/2 11.322