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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/daug-cc-pVDZ
 hartrees
Energy at 0K-231.964569
Energy at 298.15K-231.970777
HF Energy-231.964569
Nuclear repulsion energy201.856930
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 PBEPBEultrafine/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 3136 3136 0.00 550.78 0.09 0.16
2 A1g 994 994 0.00 138.15 0.08 0.16
3 A2g 1311 1311 0.00 0.00 0.75 0.86
4 A2u 663 663 106.43 0.00 0.00 0.00
5 B1u 3102 3102 0.00 0.00 0.00 0.00
6 B1u 971 971 0.00 0.00 0.00 0.00
7 B2g 982 982 0.00 0.00 0.75 0.86
8 B2g 695 695 0.00 0.00 0.75 0.86
9 B2u 1360 1360 0.00 0.00 0.00 0.00
10 B2u 1130 1130 0.00 0.00 0.00 0.00
11 E1g 838 838 0.00 2.93 0.75 0.86
11 E1g 838 838 0.00 2.92 0.75 0.86
12 E1u 3126 3126 35.41 0.00 0.00 0.00
12 E1u 3126 3126 35.41 0.00 0.00 0.00
13 E1u 1451 1451 5.42 0.00 0.00 0.00
13 E1u 1451 1451 5.42 0.00 0.00 0.00
14 E1u 1033 1033 6.02 0.00 0.00 0.00
14 E1u 1033 1033 6.02 0.00 0.00 0.00
15 E2g 3111 3111 0.00 88.09 0.75 0.86
15 E2g 3111 3111 0.00 88.10 0.75 0.86
16 E2g 1594 1594 0.00 15.77 0.75 0.86
16 E2g 1594 1594 0.00 15.86 0.75 0.86
17 E2g 1153 1153 0.00 8.40 0.75 0.86
17 E2g 1153 1153 0.00 8.38 0.75 0.86
18 E2g 596 596 0.00 0.00 0.75 0.86
18 E2g 596 596 0.00 0.01 0.75 0.86
19 E2u 957 957 0.00 0.00 0.00 0.00
19 E2u 957 957 0.00 0.00 0.00 0.00
20 E2u 399 399 0.00 0.00 0.00 0.00
20 E2u 399 399 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21429.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21429.6 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 PBEPBEultrafine/daug-cc-pVDZ
ABC
0.18730 0.18730 0.09365

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.405 0.000
C2 1.217 0.702 0.000
C3 1.217 -0.702 0.000
C4 0.000 -1.405 0.000
C5 -1.217 -0.702 0.000
C6 -1.217 0.702 0.000
H7 0.000 2.503 0.000
H8 2.168 1.251 0.000
H9 2.168 -1.251 0.000
H10 0.000 -2.503 0.000
H11 -2.168 -1.251 0.000
H12 -2.168 1.251 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40502.43352.81002.43351.40501.09792.17303.42853.90783.42852.1730
C21.40501.40502.43352.81002.43352.17301.09792.17303.42853.90783.4285
C32.43351.40501.40502.43352.81003.42852.17301.09792.17303.42853.9078
C42.81002.43351.40501.40502.43353.90783.42852.17301.09792.17303.4285
C52.43352.81002.43351.40501.40503.42853.90783.42852.17301.09792.1730
C61.40502.43352.81002.43351.40502.17303.42853.90783.42852.17301.0979
H71.09792.17303.42853.90783.42852.17302.50284.33505.00574.33502.5028
H82.17301.09792.17303.42853.90783.42852.50282.50284.33505.00574.3350
H93.42852.17301.09792.17303.42853.90784.33502.50282.50284.33505.0057
H103.90783.42852.17301.09792.17303.42855.00574.33502.50282.50284.3350
H113.42853.90783.42852.17301.09792.17304.33505.00574.33502.50282.5028
H122.17303.42853.90783.42852.17301.09792.50284.33505.00574.33502.5028

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 PBEPBEultrafine/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.084      
2 C 1.084      
3 C 1.084      
4 C 1.084      
5 C 1.084      
6 C 1.084      
7 H -1.084      
8 H -1.084      
9 H -1.084      
10 H -1.084      
11 H -1.084      
12 H -1.084      


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 -32.408 0.000 0.000
y 0.000 -32.408 0.000
z 0.000 0.000 -39.979
Traceless
 xyz
x 3.785 0.000 0.000
y 0.000 3.785 0.000
z 0.000 0.000 -7.571
Polar
3z2-r2-15.141
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 12.617 0.000 0.000
y 0.000 12.617 0.000
z 0.000 0.000 6.784


<r2> (average value of r2) Å2
<r2> 130.466
(<r2>)1/2 11.422