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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HSEh1PBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-232.060932
Energy at 298.15K-232.067308
HF Energy-232.060932
Nuclear repulsion energy204.420499
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 HSEh1PBE/cc-pVTZ
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 3213 3088 0.00 415.17 0.12 0.21
2 A1g 1029 989 0.00 64.03 0.07 0.14
3 A2g 1381 1327 0.00 0.00 0.75 0.86
4 A2u 692 665 108.16 0.00 0.00 0.00
5 B1u 3177 3053 0.00 0.00 0.00 0.00
6 B1u 1026 986 0.00 0.00 0.00 0.00
7 B2g 1028 988 0.00 0.00 0.75 0.86
8 B2g 731 703 0.00 0.00 0.75 0.86
9 B2u 1366 1312 0.00 0.00 0.00 0.00
10 B2u 1172 1126 0.00 0.00 0.00 0.00
11 E1g 872 838 0.00 0.20 0.75 0.86
11 E1g 872 838 0.00 0.20 0.75 0.86
12 E1u 3203 3079 32.59 0.00 0.00 0.00
12 E1u 3203 3079 32.58 0.00 0.00 0.00
13 E1u 1521 1462 8.89 0.00 0.00 0.00
13 E1u 1521 1462 8.89 0.00 0.00 0.00
14 E1u 1070 1029 5.44 0.00 0.00 0.00
14 E1u 1070 1029 5.44 0.00 0.00 0.00
15 E2g 3187 3063 0.00 132.05 0.75 0.86
15 E2g 3187 3063 0.00 132.08 0.75 0.86
16 E2g 1660 1596 0.00 9.18 0.75 0.86
16 E2g 1660 1596 0.00 9.19 0.75 0.86
17 E2g 1199 1153 0.00 6.54 0.75 0.86
17 E2g 1199 1153 0.00 6.54 0.75 0.86
18 E2g 620 596 0.00 3.47 0.75 0.86
18 E2g 620 596 0.00 3.47 0.75 0.86
19 E2u 995 956 0.00 0.00 0.00 0.00
19 E2u 995 956 0.00 0.00 0.00 0.00
20 E2u 413 397 0.00 0.00 0.00 0.00
20 E2u 413 397 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22147.3 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 21285.8 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 HSEh1PBE/cc-pVTZ
ABC
0.19207 0.19207 0.09603

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.388 0.000
C2 1.202 0.694 0.000
C3 1.202 -0.694 0.000
C4 0.000 -1.388 0.000
C5 -1.202 -0.694 0.000
C6 -1.202 0.694 0.000
H7 0.000 2.471 0.000
H8 2.140 1.235 0.000
H9 2.140 -1.235 0.000
H10 0.000 -2.471 0.000
H11 -2.140 -1.235 0.000
H12 -2.140 1.235 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38762.40332.77512.40331.38761.08322.14523.38503.85833.38502.1452
C21.38761.38762.40332.77512.40332.14521.08322.14523.38503.85833.3850
C32.40331.38761.38762.40332.77513.38502.14521.08322.14523.38503.8583
C42.77512.40331.38761.38762.40333.85833.38502.14521.08322.14523.3850
C52.40332.77512.40331.38761.38763.38503.85833.38502.14521.08322.1452
C61.38762.40332.77512.40331.38762.14523.38503.85833.38502.14521.0832
H71.08322.14523.38503.85833.38502.14522.47084.27954.94154.27952.4708
H82.14521.08322.14523.38503.85833.38502.47082.47084.27954.94154.2795
H93.38502.14521.08322.14523.38503.85834.27952.47082.47084.27954.9415
H103.85833.38502.14521.08322.14523.38504.94154.27952.47082.47084.2795
H113.38503.85833.38502.14521.08322.14524.27954.94154.27952.47082.4708
H122.14523.38503.85833.38502.14521.08322.47084.27954.94154.27952.4708

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 HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.115      
2 C -0.115      
3 C -0.115      
4 C -0.115      
5 C -0.115      
6 C -0.115      
7 H 0.115      
8 H 0.115      
9 H 0.115      
10 H 0.115      
11 H 0.115      
12 H 0.115      


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 -31.628 0.000 0.000
y 0.000 -31.628 0.000
z 0.000 0.000 -39.467
Traceless
 xyz
x 3.919 0.000 0.000
y 0.000 3.919 0.000
z 0.000 0.000 -7.838
Polar
3z2-r2-15.677
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 11.367 0.000 0.000
y 0.000 11.367 0.000
z 0.000 0.000 5.026


<r2> (average value of r2) Å2
<r2> 127.326
(<r2>)1/2 11.284