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All results from a given calculation for C6H6 (Benzene)

using model chemistry: MP2/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at MP2/6-31G(2df,p)
 hartrees
Energy at 0K-231.631653
Energy at 298.15K-231.637934
HF Energy-230.725002
Nuclear repulsion energy203.535699
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 MP2/6-31G(2df,p)
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 3258 3077 0.00 337.14 0.10 0.19
2 A1g 1017 960 0.00 53.00 0.08 0.15
3 A2g 1356 1281 0.00 0.00 0.00 0.00
4 A2u 700 661 81.16 0.00 0.00 0.00
5 B1u 3224 3045 0.00 0.00 0.10 0.19
6 B1u 1009 953 0.00 0.00 0.08 0.15
7 B2g 988 933 0.00 0.00 0.75 0.86
8 B2g 688 649 0.00 0.00 0.00 0.00
9 B2u 1458 1377 0.00 0.00 0.00 0.00
10 B2u 1178 1113 0.00 0.00 0.00 0.00
11 E1g 873 824 0.00 3.48 0.75 0.86
11 E1g 873 824 0.00 3.48 0.75 0.86
12 E1u 3249 3069 20.10 0.00 0.00 0.00
12 E1u 3249 3069 20.10 0.00 0.00 0.00
13 E1u 1509 1425 9.19 0.00 0.00 0.00
13 E1u 1509 1425 9.19 0.00 0.00 0.00
14 E1u 1067 1008 3.40 0.00 0.00 0.00
14 E1u 1067 1008 3.40 0.00 0.00 0.00
15 E2g 3234 3054 0.00 114.88 0.75 0.86
15 E2g 3234 3054 0.00 114.88 0.75 0.86
16 E2g 1639 1548 0.00 8.29 0.75 0.86
16 E2g 1639 1548 0.00 8.29 0.75 0.86
17 E2g 1206 1139 0.00 8.96 0.75 0.86
17 E2g 1206 1139 0.00 8.96 0.75 0.86
18 E2g 605 571 0.00 3.22 0.75 0.86
18 E2g 605 571 0.00 3.22 0.75 0.86
19 E2u 953 900 0.00 0.00 0.00 0.00
19 E2u 953 900 0.00 0.00 0.00 0.00
20 E2u 406 383 0.00 0.00 0.00 0.00
20 E2u 406 383 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22176.9 cm-1
Scaled (by 0.9445) Zero Point Vibrational Energy (zpe) 20946.0 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 MP2/6-31G(2df,p)
ABC
0.19031 0.19031 0.09516

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/6-31G(2df,p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.697 0.000
C3 1.208 -0.697 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.697 0.000
C6 -1.208 0.697 0.000
H7 0.000 2.478 0.000
H8 2.146 1.239 0.000
H9 2.146 -1.239 0.000
H10 0.000 -2.478 0.000
H11 -2.146 -1.239 0.000
H12 -2.146 1.239 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39452.41542.78902.41541.39451.08392.15203.39753.87293.39752.1520
C21.39451.39452.41542.78902.41542.15201.08392.15203.39753.87293.3975
C32.41541.39451.39452.41542.78903.39752.15201.08392.15203.39753.8729
C42.78902.41541.39451.39452.41543.87293.39752.15201.08392.15203.3975
C52.41542.78902.41541.39451.39453.39753.87293.39752.15201.08392.1520
C61.39452.41542.78902.41541.39452.15203.39753.87293.39752.15201.0839
H71.08392.15203.39753.87293.39752.15202.47844.29274.95684.29272.4784
H82.15201.08392.15203.39753.87293.39752.47842.47844.29274.95684.2927
H93.39752.15201.08392.15203.39753.87294.29272.47842.47844.29274.9568
H103.87293.39752.15201.08392.15203.39754.95684.29272.47842.47844.2927
H113.39753.87293.39752.15201.08392.15204.29274.95684.29272.47842.4784
H122.15203.39753.87293.39752.15201.08392.47844.29274.95684.29272.4784

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