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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/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 BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-232.147429
Energy at 298.15K-232.153602
HF Energy-232.147429
Nuclear repulsion energy202.186341
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 BLYP/6-31G(2df,p)
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 3119 3102 0.00 389.75 0.11 0.19
2 A1g 983 978 0.00 54.99 0.08 0.15
3 A2g 1320 1313 0.00 0.00 0.75 0.86
4 A2u 678 674 62.27 0.00 0.00 0.00
5 B1u 3082 3065 0.00 0.00 0.00 0.00
6 B1u 988 983 0.00 0.00 0.00 0.00
7 B2g 967 962 0.00 0.00 0.75 0.86
8 B2g 697 694 0.00 0.00 0.75 0.86
9 B2u 1312 1305 0.00 0.00 0.00 0.00
10 B2u 1148 1142 0.00 0.00 0.00 0.00
11 E1g 842 837 0.00 5.29 0.75 0.86
11 E1g 842 837 0.00 5.29 0.75 0.86
12 E1u 3108 3091 49.51 0.00 0.00 0.00
12 E1u 3108 3091 49.51 0.00 0.00 0.00
13 E1u 1467 1459 5.76 0.00 0.00 0.00
13 E1u 1467 1459 5.75 0.00 0.00 0.00
14 E1u 1030 1024 2.59 0.00 0.00 0.00
14 E1u 1030 1024 2.59 0.00 0.00 0.00
15 E2g 3092 3075 0.00 138.47 0.75 0.86
15 E2g 3092 3075 0.00 138.47 0.75 0.86
16 E2g 1571 1563 0.00 10.06 0.75 0.86
16 E2g 1571 1563 0.00 10.06 0.75 0.86
17 E2g 1168 1162 0.00 10.62 0.75 0.86
17 E2g 1168 1162 0.00 10.62 0.75 0.86
18 E2g 601 598 0.00 3.15 0.75 0.86
18 E2g 601 598 0.00 3.15 0.75 0.86
19 E2u 917 912 0.00 0.00 0.00 0.00
19 E2u 917 912 0.00 0.00 0.00 0.00
20 E2u 399 397 0.00 0.00 0.00 0.00
20 E2u 399 397 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21342.8 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 21225.4 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 BLYP/6-31G(2df,p)
ABC
0.18782 0.18782 0.09391

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.404 0.000
C2 1.216 0.702 0.000
C3 1.216 -0.702 0.000
C4 0.000 -1.404 0.000
C5 -1.216 -0.702 0.000
C6 -1.216 0.702 0.000
H7 0.000 2.496 0.000
H8 2.161 1.248 0.000
H9 2.161 -1.248 0.000
H10 0.000 -2.496 0.000
H11 -2.161 -1.248 0.000
H12 -2.161 1.248 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40362.43122.80732.43121.40361.09192.16683.42073.89923.42072.1668
C21.40361.40362.43122.80732.43122.16681.09192.16683.42073.89923.4207
C32.43121.40361.40362.43122.80733.42072.16681.09192.16683.42073.8992
C42.80732.43121.40361.40362.43123.89923.42072.16681.09192.16683.4207
C52.43122.80732.43121.40361.40363.42073.89923.42072.16681.09192.1668
C61.40362.43122.80732.43121.40362.16683.42073.89923.42072.16681.0919
H71.09192.16683.42073.89923.42072.16682.49564.32244.99114.32242.4956
H82.16681.09192.16683.42073.89923.42072.49562.49564.32244.99114.3224
H93.42072.16681.09192.16683.42073.89924.32242.49562.49564.32244.9911
H103.89923.42072.16681.09192.16683.42074.99114.32242.49562.49564.3224
H113.42073.89923.42072.16681.09192.16684.32244.99114.32242.49562.4956
H122.16683.42073.89923.42072.16681.09192.49564.32244.99114.32242.4956

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 BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.070      
2 C -0.070      
3 C -0.070      
4 C -0.070      
5 C -0.070      
6 C -0.070      
7 H 0.070      
8 H 0.070      
9 H 0.070      
10 H 0.070      
11 H 0.070      
12 H 0.070      


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 -31.972 0.000 0.000
y 0.000 -31.972 0.000
z 0.000 0.000 -38.189
Traceless
 xyz
x 3.109 0.000 0.000
y 0.000 3.109 0.000
z 0.000 0.000 -6.217
Polar
3z2-r2-12.434
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 11.091 0.000 0.000
y 0.000 11.091 0.000
z 0.000 0.000 3.908


<r2> (average value of r2) Å2
<r2> 129.557
(<r2>)1/2 11.382