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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBE/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 PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-232.021526
Energy at 298.15K-232.027711
HF Energy-232.021526
Nuclear repulsion energy202.980735
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 PBEPBE/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 3128 3090 0.00 448.32 0.10 0.18
2 A1g 996 984 0.00 69.54 0.05 0.10
3 A2g 1333 1317 0.00 0.00 0.75 0.86
4 A2u 663 655 104.18 0.00 0.00 0.00
5 B1u 3092 3055 0.00 0.00 0.00 0.00
6 B1u 995 983 0.00 0.00 0.00 0.00
7 B2g 977 965 0.00 0.00 0.75 0.86
8 B2g 704 696 0.00 0.00 0.75 0.86
9 B2u 1345 1329 0.00 0.00 0.00 0.00
10 B2u 1139 1126 0.00 0.00 0.00 0.00
11 E1g 834 824 0.00 0.08 0.75 0.86
11 E1g 834 824 0.00 0.08 0.75 0.86
12 E1u 3118 3080 35.05 0.00 0.00 0.00
12 E1u 3118 3080 35.04 0.00 0.00 0.00
13 E1u 1469 1451 6.83 0.00 0.00 0.00
13 E1u 1469 1451 6.83 0.00 0.00 0.00
14 E1u 1036 1024 5.55 0.00 0.00 0.00
14 E1u 1036 1024 5.55 0.00 0.00 0.00
15 E2g 3102 3065 0.00 137.50 0.75 0.86
15 E2g 3102 3065 0.00 137.59 0.75 0.86
16 E2g 1594 1574 0.00 9.03 0.75 0.86
16 E2g 1594 1574 0.00 9.01 0.75 0.86
17 E2g 1162 1148 0.00 7.01 0.75 0.86
17 E2g 1162 1148 0.00 7.03 0.75 0.86
18 E2g 601 594 0.00 3.65 0.75 0.86
18 E2g 601 594 0.00 3.62 0.75 0.86
19 E2u 944 933 0.00 0.00 0.00 0.00
19 E2u 944 933 0.00 0.00 0.00 0.00
20 E2u 396 391 0.00 0.00 0.00 0.00
20 E2u 396 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21441.5 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 21182.1 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 PBEPBE/Def2TZVPP
ABC
0.18938 0.18938 0.09469

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.397 0.000
C2 1.210 0.699 0.000
C3 1.210 -0.699 0.000
C4 0.000 -1.397 0.000
C5 -1.210 -0.699 0.000
C6 -1.210 0.699 0.000
H7 0.000 2.488 0.000
H8 2.155 1.244 0.000
H9 2.155 -1.244 0.000
H10 0.000 -2.488 0.000
H11 -2.155 -1.244 0.000
H12 -2.155 1.244 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39742.42032.79472.42031.39741.09112.16053.40913.88583.40912.1605
C21.39741.39742.42032.79472.42032.16051.09112.16053.40913.88583.4091
C32.42031.39741.39742.42032.79473.40912.16051.09112.16053.40913.8858
C42.79472.42031.39741.39742.42033.88583.40912.16051.09112.16053.4091
C52.42032.79472.42031.39741.39743.40913.88583.40912.16051.09112.1605
C61.39742.42032.79472.42031.39742.16053.40913.88583.40912.16051.0911
H71.09112.16053.40913.88583.40912.16052.48844.31014.97684.31012.4884
H82.16051.09112.16053.40913.88583.40912.48842.48844.31014.97684.3101
H93.40912.16051.09112.16053.40913.88584.31012.48842.48844.31014.9768
H103.88583.40912.16051.09112.16053.40914.97684.31012.48842.48844.3101
H113.40913.88583.40912.16051.09112.16054.31014.97684.31012.48842.4884
H122.16053.40913.88583.40912.16051.09112.48844.31014.97684.31012.4884

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 PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.110      
2 C -0.110      
3 C -0.110      
4 C -0.110      
5 C -0.110      
6 C -0.110      
7 H 0.110      
8 H 0.110      
9 H 0.110      
10 H 0.110      
11 H 0.110      
12 H 0.110      


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 -32.108 0.000 0.000
y 0.000 -32.108 0.000
z 0.000 0.000 -39.660
Traceless
 xyz
x 3.776 0.000 0.000
y 0.000 3.776 0.000
z 0.000 0.000 -7.552
Polar
3z2-r2-15.104
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 11.923 0.000 0.000
y 0.000 11.923 0.000
z 0.000 0.000 5.845


<r2> (average value of r2) Å2
<r2> 129.074
(<r2>)1/2 11.361