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All results from a given calculation for C6H6 (Benzene)

using model chemistry: mPW1PW91/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at mPW1PW91/Def2TZVPP
 hartrees
Energy at 0K-232.276322
Energy at 298.15K-232.282686
HF Energy-232.276322
Nuclear repulsion energy204.496345
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 mPW1PW91/Def2TZVPP
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 3222 3222 0.00 409.98 0.10 0.18
2 A1g 1030 1030 0.00 70.69 0.05 0.09
3 A2g 1384 1384 0.00 0.00 0.75 0.86
4 A2u 694 694 111.30 0.00 0.00 0.00
5 B1u 3186 3186 0.00 0.00 0.00 0.00
6 B1u 1028 1028 0.00 0.00 0.00 0.00
7 B2g 1028 1028 0.00 0.00 0.75 0.86
8 B2g 730 730 0.00 0.00 0.75 0.86
9 B2u 1364 1364 0.00 0.00 0.00 0.00
10 B2u 1174 1174 0.00 0.00 0.00 0.00
11 E1g 874 874 0.00 0.01 0.75 0.86
11 E1g 874 874 0.00 0.01 0.75 0.86
12 E1u 3212 3212 30.62 0.00 0.00 0.00
12 E1u 3212 3212 30.62 0.00 0.00 0.00
13 E1u 1525 1525 8.35 0.00 0.00 0.00
13 E1u 1525 1525 8.34 0.00 0.00 0.00
14 E1u 1072 1072 5.66 0.00 0.00 0.00
14 E1u 1072 1072 5.66 0.00 0.00 0.00
15 E2g 3196 3196 0.00 124.80 0.75 0.86
15 E2g 3196 3196 0.00 124.76 0.75 0.86
16 E2g 1662 1662 0.00 9.82 0.75 0.86
16 E2g 1662 1662 0.00 9.82 0.75 0.86
17 E2g 1202 1202 0.00 6.03 0.75 0.86
17 E2g 1202 1202 0.00 6.04 0.75 0.86
18 E2g 621 621 0.00 3.78 0.75 0.86
18 E2g 621 621 0.00 3.78 0.75 0.86
19 E2u 998 998 0.00 0.00 0.00 0.00
19 E2u 998 998 0.00 0.00 0.00 0.00
20 E2u 413 413 0.00 0.00 0.00 0.00
20 E2u 413 413 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22192.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22192.0 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 mPW1PW91/Def2TZVPP
ABC
0.19220 0.19220 0.09610

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/Def2TZVPP

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.201 0.694 0.000
C3 1.201 -0.694 0.000
C4 0.000 -1.387 0.000
C5 -1.201 -0.694 0.000
C6 -1.201 0.694 0.000
H7 0.000 2.469 0.000
H8 2.139 1.235 0.000
H9 2.139 -1.235 0.000
H10 0.000 -2.469 0.000
H11 -2.139 -1.235 0.000
H12 -2.139 1.235 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38722.40272.77442.40271.38721.08222.14403.38343.85663.38342.1440
C21.38721.38722.40272.77442.40272.14401.08222.14403.38343.85663.3834
C32.40271.38721.38722.40272.77443.38342.14401.08222.14403.38343.8566
C42.77442.40271.38721.38722.40273.85663.38342.14401.08222.14403.3834
C52.40272.77442.40271.38721.38723.38343.85663.38342.14401.08222.1440
C61.38722.40272.77442.40271.38722.14403.38343.85663.38342.14401.0822
H71.08222.14403.38343.85663.38342.14402.46944.27714.93884.27712.4694
H82.14401.08222.14403.38343.85663.38342.46942.46944.27714.93884.2771
H93.38342.14401.08222.14403.38343.85664.27712.46942.46944.27714.9388
H103.85663.38342.14401.08222.14403.38344.93884.27712.46942.46944.2771
H113.38343.85663.38342.14401.08222.14404.27714.93884.27712.46942.4694
H122.14403.38343.85663.38342.14401.08222.46944.27714.93884.27712.4694

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 mPW1PW91/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.112      
2 C -0.112      
3 C -0.112      
4 C -0.112      
5 C -0.112      
6 C -0.112      
7 H 0.112      
8 H 0.112      
9 H 0.112      
10 H 0.112      
11 H 0.112      
12 H 0.112      


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 -31.606 0.000 0.000
y 0.000 -31.606 0.000
z 0.000 0.000 -39.486
Traceless
 xyz
x 3.940 0.000 0.000
y 0.000 3.940 0.000
z 0.000 0.000 -7.880
Polar
3z2-r2-15.761
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 11.460 0.000 0.000
y 0.000 11.460 0.000
z 0.000 0.000 5.771


<r2> (average value of r2) Å2
<r2> 127.242
(<r2>)1/2 11.280