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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-232.153890
Energy at 298.15K-232.160055
HF Energy-232.153890
Nuclear repulsion energy201.523867
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/6-31+G**
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 3124 3107 0.00 461.94 0.13 0.22
2 A1g 979 973 0.00 89.23 0.01 0.03
3 A2g 1339 1332 0.00 0.00 0.75 0.86
4 A2u 666 663 115.52 0.00 0.00 0.00
5 B1u 3089 3072 0.00 0.00 0.00 0.00
6 B1u 989 984 0.00 0.00 0.00 0.00
7 B2g 973 968 0.00 0.00 0.75 0.86
8 B2g 689 685 0.00 0.00 0.75 0.86
9 B2u 1323 1316 0.00 0.00 0.00 0.00
10 B2u 1150 1144 0.00 0.00 0.00 0.00
11 E1g 832 828 0.00 1.21 0.75 0.86
11 E1g 832 828 0.00 1.21 0.75 0.86
12 E1u 3113 3097 52.04 0.00 0.00 0.00
12 E1u 3113 3097 52.04 0.00 0.00 0.00
13 E1u 1469 1461 4.39 0.00 0.00 0.00
13 E1u 1469 1461 4.39 0.00 0.00 0.00
14 E1u 1028 1023 5.57 0.00 0.00 0.00
14 E1u 1028 1023 5.57 0.00 0.00 0.00
15 E2g 3098 3082 0.00 157.55 0.75 0.86
15 E2g 3098 3082 0.00 157.56 0.75 0.86
16 E2g 1578 1569 0.00 13.64 0.75 0.86
16 E2g 1578 1569 0.00 13.65 0.75 0.86
17 E2g 1167 1161 0.00 6.14 0.75 0.86
17 E2g 1167 1161 0.00 6.15 0.75 0.86
18 E2g 603 600 0.00 4.98 0.75 0.86
18 E2g 603 600 0.00 4.99 0.75 0.86
19 E2u 942 937 0.00 0.00 0.00 0.00
19 E2u 942 937 0.00 0.00 0.00 0.00
20 E2u 398 396 0.00 0.00 0.00 0.00
20 E2u 398 396 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21387.5 cm-1
Scaled (by 0.9947) Zero Point Vibrational Energy (zpe) 21274.2 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/6-31+G**
ABC
0.18654 0.18654 0.09327

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31+G**

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.409 0.000
C2 1.220 0.704 0.000
C3 1.220 -0.704 0.000
C4 0.000 -1.409 0.000
C5 -1.220 -0.704 0.000
C6 -1.220 0.704 0.000
H7 0.000 2.502 0.000
H8 2.167 1.251 0.000
H9 2.167 -1.251 0.000
H10 0.000 -2.502 0.000
H11 -2.167 -1.251 0.000
H12 -2.167 1.251 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40872.44002.81742.44001.40871.09352.17273.43083.91093.43082.1727
C21.40871.40872.44002.81742.44002.17271.09352.17273.43083.91093.4308
C32.44001.40871.40872.44002.81743.43082.17271.09352.17273.43083.9109
C42.81742.44001.40871.40872.44003.91093.43082.17271.09352.17273.4308
C52.44002.81742.44001.40871.40873.43083.91093.43082.17271.09352.1727
C61.40872.44002.81742.44001.40872.17273.43083.91093.43082.17271.0935
H71.09352.17273.43083.91093.43082.17272.50224.33395.00444.33392.5022
H82.17271.09352.17273.43083.91093.43082.50222.50224.33395.00444.3339
H93.43082.17271.09352.17273.43083.91094.33392.50222.50224.33395.0044
H103.91093.43082.17271.09352.17273.43085.00444.33392.50222.50224.3339
H113.43083.91093.43082.17271.09352.17274.33395.00444.33392.50222.5022
H122.17273.43083.91093.43082.17271.09352.50224.33395.00444.33392.5022

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.107      
2 C -0.107      
3 C -0.107      
4 C -0.107      
5 C -0.107      
6 C -0.107      
7 H 0.107      
8 H 0.107      
9 H 0.107      
10 H 0.107      
11 H 0.107      
12 H 0.107      


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 -32.734 0.000 0.000
y 0.000 -32.734 0.000
z 0.000 0.000 -40.480
Traceless
 xyz
x 3.873 0.000 0.000
y 0.000 3.873 0.000
z 0.000 0.000 -7.746
Polar
3z2-r2-15.493
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 12.227 0.000 0.000
y 0.000 12.228 0.000
z 0.000 0.000 6.329


<r2> (average value of r2) Å2
<r2> 131.064
(<r2>)1/2 11.448