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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBE1PBE/daug-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 PBE1PBE/daug-cc-pVTZ
 hartrees
Energy at 0K-232.042671
Energy at 298.15K-232.049015
HF Energy-232.042671
Nuclear repulsion energy204.379495
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 PBE1PBE/daug-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 3212 3212 0.00 370.85 0.09 0.16
2 A1g 1029 1029 0.00 83.73 0.01 0.03
3 A2g 1377 1377 0.00 0.00 0.75 0.86
4 A2u 693 693 112.52 0.00 0.00 0.00
5 B1u 3176 3176 0.00 0.00 0.00 0.00
6 B1u 1024 1024 0.00 0.00 0.00 0.00
7 B2g 1029 1029 0.00 0.00 0.75 0.86
8 B2g 729 729 0.00 0.00 0.75 0.86
9 B2u 1365 1365 0.00 0.00 0.00 0.00
10 B2u 1167 1167 0.00 0.00 0.00 0.00
11 E1g 873 873 0.00 0.37 0.75 0.86
11 E1g 873 873 0.00 0.25 0.75 0.86
12 E1u 3202 3202 28.48 0.00 0.00 0.00
12 E1u 3202 3202 28.48 0.00 0.00 0.00
13 E1u 1519 1519 7.45 0.00 0.00 0.00
13 E1u 1519 1519 7.45 0.00 0.00 0.00
14 E1u 1069 1069 5.69 0.00 0.00 0.00
14 E1u 1069 1069 5.70 0.00 0.00 0.00
15 E2g 3186 3186 0.00 118.53 0.75 0.86
15 E2g 3186 3186 0.00 120.44 0.75 0.86
16 E2g 1659 1659 0.00 14.27 0.75 0.86
16 E2g 1659 1659 0.00 14.94 0.75 0.86
17 E2g 1196 1196 0.00 9.72 0.75 0.86
17 E2g 1196 1196 0.00 9.36 0.75 0.86
18 E2g 617 617 0.00 1.73 0.75 0.86
18 E2g 617 617 0.00 1.71 0.75 0.86
19 E2u 1002 1002 0.00 0.00 0.00 0.00
19 E2u 1002 1002 0.00 0.00 0.00 0.00
20 E2u 412 412 0.00 0.00 0.00 0.00
20 E2u 412 412 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22134.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22134.0 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 PBE1PBE/daug-cc-pVTZ
ABC
0.19199 0.19199 0.09600

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/daug-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 1.236 0.000
H9 2.140 -1.236 0.000
H10 0.000 -2.471 0.000
H11 -2.140 -1.236 0.000
H12 -2.140 1.236 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38782.40382.77562.40381.38781.08352.14563.38583.85923.38582.1456
C21.38781.38782.40382.77562.40382.14561.08352.14563.38573.85923.3858
C32.40381.38781.38782.40382.77563.38572.14561.08352.14563.38583.8592
C42.77562.40381.38781.38782.40383.85923.38582.14561.08352.14563.3858
C52.40382.77562.40381.38781.38783.38573.85923.38582.14561.08352.1456
C61.38782.40382.77562.40381.38782.14563.38583.85923.38572.14561.0835
H71.08352.14563.38573.85923.38572.14562.47134.28054.94274.28052.4713
H82.14561.08352.14563.38583.85923.38582.47132.47134.28054.94274.2805
H93.38582.14561.08352.14563.38583.85924.28052.47132.47134.28054.9427
H103.85923.38572.14561.08352.14563.38574.94274.28052.47132.47134.2805
H113.38583.85923.38582.14561.08352.14564.28054.94274.28052.47132.4713
H122.14563.38583.85923.38582.14561.08352.47134.28054.94274.28052.4713

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 PBE1PBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.391      
2 C -0.391      
3 C -0.391      
4 C -0.391      
5 C -0.391      
6 C -0.391      
7 H 0.391      
8 H 0.391      
9 H 0.391      
10 H 0.391      
11 H 0.391      
12 H 0.391      


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 -31.848 0.000 0.000
y 0.000 -31.848 0.000
z 0.000 0.000 -39.703
Traceless
 xyz
x 3.928 0.000 0.000
y 0.000 3.928 0.000
z 0.000 0.000 -7.855
Polar
3z2-r2-15.711
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 11.949 0.000 0.000
y 0.000 11.949 0.000
z 0.000 0.000 6.521


<r2> (average value of r2) Å2
<r2> 127.509
(<r2>)1/2 11.292