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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-230.858896
Energy at 298.15K-230.865165
HF Energy-230.858896
Nuclear repulsion energy201.667552
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/3-21G*
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 3138 3117 0.00 335.72 0.10 0.19
2 A1g 980 974 0.00 51.25 0.11 0.20
3 A2g 1399 1389 0.00 0.00 0.75 0.86
4 A2u 672 668 103.59 0.00 0.00 0.00
5 B1u 3099 3079 0.00 0.00 0.00 0.00
6 B1u 1034 1027 0.00 0.00 0.00 0.00
7 B2g 998 992 0.00 0.00 0.75 0.86
8 B2g 729 724 0.00 0.00 0.75 0.86
9 B2u 1282 1274 0.00 0.00 0.00 0.00
10 B2u 1200 1192 0.00 0.00 0.00 0.00
11 E1g 841 835 0.00 7.55 0.75 0.86
11 E1g 841 835 0.00 7.55 0.75 0.86
12 E1u 3124 3104 42.09 0.00 0.00 0.00
12 E1u 3124 3104 42.10 0.00 0.00 0.00
13 E1u 1495 1485 9.40 0.00 0.00 0.00
13 E1u 1495 1485 9.40 0.00 0.00 0.00
14 E1u 1036 1029 3.52 0.00 0.00 0.00
14 E1u 1036 1029 3.52 0.00 0.00 0.00
15 E2g 3108 3087 0.00 126.38 0.75 0.86
15 E2g 3108 3087 0.00 126.38 0.75 0.86
16 E2g 1565 1555 0.00 13.13 0.75 0.86
16 E2g 1565 1555 0.00 13.13 0.75 0.86
17 E2g 1204 1197 0.00 8.72 0.75 0.86
17 E2g 1204 1197 0.00 8.72 0.75 0.86
18 E2g 629 625 0.00 3.42 0.75 0.86
18 E2g 629 625 0.00 3.42 0.75 0.86
19 E2u 959 953 0.00 0.00 0.00 0.00
19 E2u 959 953 0.00 0.00 0.00 0.00
20 E2u 409 406 0.00 0.00 0.00 0.00
20 E2u 409 406 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21634.6 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 21494.0 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 BLYP/3-21G*
ABC
0.18677 0.18677 0.09339

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/3-21G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.408 0.000
C2 1.219 0.704 0.000
C3 1.219 -0.704 0.000
C4 0.000 -1.408 0.000
C5 -1.219 -0.704 0.000
C6 -1.219 0.704 0.000
H7 0.000 2.499 0.000
H8 2.165 1.250 0.000
H9 2.165 -1.250 0.000
H10 0.000 -2.499 0.000
H11 -2.165 -1.250 0.000
H12 -2.165 1.250 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40802.43872.81602.43871.40801.09142.17033.42763.90743.42762.1703
C21.40801.40802.43872.81602.43872.17031.09142.17033.42763.90743.4276
C32.43871.40801.40802.43872.81603.42762.17031.09142.17033.42763.9074
C42.81602.43871.40801.40802.43873.90743.42762.17031.09142.17033.4276
C52.43872.81602.43871.40801.40803.42763.90743.42762.17031.09142.1703
C61.40802.43872.81602.43871.40802.17033.42763.90743.42762.17031.0914
H71.09142.17033.42763.90743.42762.17032.49944.32914.99884.32912.4994
H82.17031.09142.17033.42763.90743.42762.49942.49944.32914.99884.3291
H93.42762.17031.09142.17033.42763.90744.32912.49942.49944.32914.9988
H103.90743.42762.17031.09142.17033.42764.99884.32912.49942.49944.3291
H113.42763.90743.42762.17031.09142.17034.32914.99884.32912.49942.4994
H122.17033.42763.90743.42762.17031.09142.49944.32914.99884.32912.4994

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/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.163      
2 C -0.163      
3 C -0.163      
4 C -0.163      
5 C -0.163      
6 C -0.163      
7 H 0.163      
8 H 0.163      
9 H 0.163      
10 H 0.163      
11 H 0.163      
12 H 0.163      


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 -31.410 0.000 0.000
y 0.000 -31.410 0.000
z 0.000 0.000 -39.756
Traceless
 xyz
x 4.173 0.000 0.000
y 0.000 4.173 0.000
z 0.000 0.000 -8.345
Polar
3z2-r2-16.691
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 10.281 0.000 0.000
y 0.000 10.281 0.000
z 0.000 0.000 2.309


<r2> (average value of r2) Å2
<r2> 130.207
(<r2>)1/2 11.411