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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/aug-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 BLYP/aug-cc-pVDZ
 hartrees
Energy at 0K-232.160035
Energy at 298.15K-232.166220
HF Energy-232.160035
Nuclear repulsion energy201.327568
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/aug-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 3118 3112 0.00 464.82 0.10 0.18
2 A1g 979 978 0.00 91.19 0.03 0.06
3 A2g 1314 1312 0.00 0.00 0.75 0.86
4 A2u 656 655 105.80 0.00 0.00 0.00
5 B1u 3086 3080 0.00 0.00 0.00 0.00
6 B1u 975 973 0.00 0.00 0.00 0.00
7 B2g 978 976 0.00 0.00 0.75 0.86
8 B2g 710 709 0.00 0.00 0.75 0.86
9 B2u 1320 1317 0.00 0.00 0.00 0.00
10 B2u 1138 1136 0.00 0.00 0.00 0.00
11 E1g 825 823 0.00 0.62 0.75 0.86
11 E1g 825 823 0.00 0.60 0.75 0.86
12 E1u 3108 3102 43.34 0.00 0.00 0.00
12 E1u 3108 3102 43.33 0.00 0.00 0.00
13 E1u 1444 1441 4.89 0.00 0.00 0.00
13 E1u 1444 1441 4.89 0.00 0.00 0.00
14 E1u 1023 1021 5.49 0.00 0.00 0.00
14 E1u 1023 1021 5.49 0.00 0.00 0.00
15 E2g 3093 3088 0.00 144.24 0.75 0.86
15 E2g 3093 3088 0.00 144.27 0.75 0.86
16 E2g 1568 1565 0.00 13.59 0.75 0.86
16 E2g 1568 1565 0.00 13.61 0.75 0.86
17 E2g 1156 1154 0.00 6.81 0.75 0.86
17 E2g 1156 1154 0.00 6.83 0.75 0.86
18 E2g 600 598 0.00 2.76 0.75 0.86
18 E2g 600 598 0.00 2.77 0.75 0.86
19 E2u 943 941 0.00 0.00 0.00 0.00
19 E2u 943 941 0.00 0.00 0.00 0.00
20 E2u 399 398 0.00 0.00 0.00 0.00
20 E2u 399 398 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21295.0 cm-1
Scaled (by 0.9981) Zero Point Vibrational Energy (zpe) 21254.6 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 BLYP/aug-cc-pVDZ
ABC
0.18625 0.18625 0.09312

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.409 0.000
C2 1.221 0.705 0.000
C3 1.221 -0.705 0.000
C4 0.000 -1.409 0.000
C5 -1.221 -0.705 0.000
C6 -1.221 0.705 0.000
H7 0.000 2.507 0.000
H8 2.171 1.254 0.000
H9 2.171 -1.254 0.000
H10 0.000 -2.507 0.000
H11 -2.171 -1.254 0.000
H12 -2.171 1.254 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40942.44112.81872.44111.40941.09772.17673.43583.91643.43582.1767
C21.40941.40942.44112.81872.44112.17671.09772.17673.43583.91643.4358
C32.44111.40941.40942.44112.81873.43582.17671.09772.17673.43583.9164
C42.81872.44111.40941.40942.44113.91643.43582.17671.09772.17673.4358
C52.44112.81872.44111.40941.40943.43583.91643.43582.17671.09772.1767
C61.40942.44112.81872.44111.40942.17673.43583.91643.43582.17671.0977
H71.09772.17673.43583.91643.43582.17672.50704.34235.01414.34232.5070
H82.17671.09772.17673.43583.91643.43582.50702.50704.34235.01414.3423
H93.43582.17671.09772.17673.43583.91644.34232.50702.50704.34235.0141
H103.91643.43582.17671.09772.17673.43585.01414.34232.50702.50704.3423
H113.43583.91643.43582.17671.09772.17674.34235.01414.34232.50702.5070
H122.17673.43583.91643.43582.17671.09772.50704.34235.01414.34232.5070

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/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.833      
2 C 0.833      
3 C 0.833      
4 C 0.833      
5 C 0.833      
6 C 0.833      
7 H -0.833      
8 H -0.833      
9 H -0.833      
10 H -0.833      
11 H -0.833      
12 H -0.833      


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 -33.027 0.000 0.000
y 0.000 -33.027 0.000
z 0.000 0.000 -40.115
Traceless
 xyz
x 3.544 0.000 0.000
y 0.000 3.544 0.000
z 0.000 0.000 -7.089
Polar
3z2-r2-14.177
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 12.746 0.000 0.000
y 0.000 12.746 0.000
z 0.000 0.000 6.842


<r2> (average value of r2) Å2
<r2> 131.323
(<r2>)1/2 11.460