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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/aug-cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-232.224341
Energy at 298.15K-232.230571
HF Energy-232.224341
Nuclear repulsion energy202.641667
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-pVTZ
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 3113 3102 0.00 446.19 0.10 0.19
2 A1g 981 978 0.00 91.06 0.02 0.05
3 A2g 1351 1347 0.00 0.00 0.75 0.86
4 A2u 671 668 103.77 0.00 0.00 0.00
5 B1u 3078 3068 0.00 0.00 0.00 0.00
6 B1u 1005 1002 0.00 0.00 0.00 0.00
7 B2g 985 982 0.00 0.01 0.75 0.86
8 B2g 701 698 0.00 0.00 0.75 0.86
9 B2u 1304 1300 0.00 0.00 0.00 0.00
10 B2u 1149 1145 0.00 0.00 0.00 0.00
11 E1g 841 838 0.00 0.31 0.75 0.86
11 E1g 841 838 0.00 0.56 0.75 0.86
12 E1u 3103 3092 41.81 0.00 0.00 0.00
12 E1u 3103 3092 41.82 0.00 0.00 0.00
13 E1u 1471 1466 4.93 0.00 0.00 0.00
13 E1u 1471 1466 4.93 0.00 0.00 0.00
14 E1u 1029 1025 4.94 0.00 0.00 0.00
14 E1u 1029 1025 4.94 0.00 0.00 0.00
15 E2g 3088 3077 0.00 140.78 0.75 0.86
15 E2g 3088 3077 0.00 140.83 0.75 0.86
16 E2g 1571 1566 0.00 14.11 0.75 0.86
16 E2g 1571 1566 0.00 14.15 0.75 0.86
17 E2g 1167 1163 0.00 5.50 0.75 0.86
17 E2g 1167 1163 0.00 5.49 0.75 0.86
18 E2g 608 606 0.00 2.56 0.75 0.86
18 E2g 608 606 0.00 2.58 0.75 0.86
19 E2u 958 954 0.00 0.00 0.00 0.00
19 E2u 958 954 0.00 0.00 0.00 0.00
20 E2u 400 398 0.00 0.00 0.00 0.00
20 E2u 400 398 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21402.2 cm-1
Scaled (by 0.9966) Zero Point Vibrational Energy (zpe) 21329.5 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-pVTZ
ABC
0.18863 0.18863 0.09432

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.401 0.000
C2 1.213 0.700 0.000
C3 1.213 -0.700 0.000
C4 0.000 -1.401 0.000
C5 -1.213 -0.700 0.000
C6 -1.213 0.700 0.000
H7 0.000 2.489 0.000
H8 2.155 1.244 0.000
H9 2.155 -1.244 0.000
H10 0.000 -2.489 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
C11.40082.42622.80162.42621.40081.08822.16123.41233.88973.41232.1612
C21.40081.40082.42622.80152.42622.16121.08822.16123.41233.88973.4123
C32.42621.40081.40082.42622.80153.41232.16121.08822.16123.41233.8897
C42.80162.42621.40081.40082.42623.88973.41232.16121.08822.16123.4123
C52.42622.80152.42621.40081.40083.41233.88973.41232.16121.08822.1612
C61.40082.42622.80152.42621.40082.16123.41233.88973.41232.16121.0882
H71.08822.16123.41233.88973.41232.16122.48894.31104.97794.31102.4889
H82.16121.08822.16123.41233.88973.41232.48892.48894.31104.97794.3110
H93.41232.16121.08822.16123.41233.88974.31102.48892.48894.31104.9779
H103.88973.41232.16121.08822.16123.41234.97794.31102.48892.48894.3110
H113.41233.88973.41232.16121.08822.16124.31104.97794.31102.48892.4889
H122.16123.41233.88973.41232.16121.08822.48894.31104.97794.31102.4889

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-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.367      
2 C -0.367      
3 C -0.367      
4 C -0.367      
5 C -0.367      
6 C -0.367      
7 H 0.367      
8 H 0.367      
9 H 0.367      
10 H 0.367      
11 H 0.367      
12 H 0.367      


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 -32.912 0.000 0.000
y 0.000 -32.912 0.000
z 0.000 0.000 -39.995
Traceless
 xyz
x 3.541 0.000 0.000
y 0.000 3.541 0.000
z 0.000 0.000 -7.083
Polar
3z2-r2-14.166
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 12.545 0.000 0.000
y 0.000 12.545 0.000
z 0.000 0.000 6.816


<r2> (average value of r2) Å2
<r2> 129.838
(<r2>)1/2 11.395