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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B2PLYP/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 B2PLYP/cc-pVDZ
 hartrees
Energy at 0K-232.001759
Energy at 298.15K-232.008082
HF Energy-231.740436
Nuclear repulsion energy202.556110
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 B2PLYP/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 3229 3092 0.00 415.00 0.11 0.19
2 A1g 1019 976 0.00 56.59 0.09 0.17
3 A2g 1369 1311 0.00 0.00 0.75 0.86
4 A2u 691 662 81.44 0.00 0.00 0.00
5 B1u 3191 3056 0.00 0.00 0.00 0.00
6 B1u 1014 971 0.00 0.00 0.00 0.00
7 B2g 1002 960 0.00 0.00 0.75 0.86
8 B2g 701 671 0.00 0.00 0.75 0.86
9 B2u 1383 1325 0.00 0.00 0.00 0.00
10 B2u 1166 1117 0.00 0.00 0.00 0.00
11 E1g 866 830 0.00 3.85 0.75 0.86
11 E1g 866 830 0.00 3.85 0.75 0.86
12 E1u 3218 3082 37.07 0.00 0.75 0.86
12 E1u 3218 3082 37.07 0.00 0.75 0.86
13 E1u 1512 1448 7.31 0.00 0.75 0.86
13 E1u 1512 1448 7.31 0.00 0.75 0.86
14 E1u 1063 1018 4.35 0.00 0.00 0.00
14 E1u 1063 1018 4.34 0.00 0.00 0.00
15 E2g 3202 3067 0.00 145.13 0.75 0.86
15 E2g 3202 3067 0.00 145.13 0.75 0.86
16 E2g 1652 1582 0.00 9.81 0.75 0.86
16 E2g 1652 1582 0.00 9.81 0.75 0.86
17 E2g 1192 1142 0.00 8.88 0.75 0.86
17 E2g 1192 1142 0.00 8.88 0.75 0.86
18 E2g 615 589 0.00 3.71 0.75 0.86
18 E2g 615 589 0.00 3.71 0.75 0.86
19 E2u 979 938 0.00 0.00 0.00 0.00
19 E2u 979 938 0.00 0.00 0.00 0.00
20 E2u 411 394 0.00 0.00 0.00 0.00
20 E2u 411 394 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22092.3 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 21157.8 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 B2PLYP/cc-pVDZ
ABC
0.18856 0.18856 0.09428

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVDZ

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 2.493 0.000
H8 2.159 1.246 0.000
H9 2.159 -1.246 0.000
H10 0.000 -2.493 0.000
H11 -2.159 -1.246 0.000
H12 -2.159 1.246 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40062.42582.80112.42581.40061.09222.16433.41563.89333.41562.1643
C21.40061.40062.42582.80112.42582.16431.09222.16433.41563.89333.4156
C32.42581.40061.40062.42582.80113.41562.16431.09222.16433.41563.8933
C42.80112.42581.40061.40062.42583.89333.41562.16431.09222.16433.4156
C52.42582.80112.42581.40061.40063.41563.89333.41562.16431.09222.1643
C61.40062.42582.80112.42581.40062.16433.41563.89333.41562.16431.0922
H71.09222.16433.41563.89333.41562.16432.49274.31754.98554.31752.4927
H82.16431.09222.16433.41563.89333.41562.49272.49274.31754.98554.3175
H93.41562.16431.09222.16433.41563.89334.31752.49272.49274.31754.9855
H103.89333.41562.16431.09222.16433.41564.98554.31752.49272.49274.3175
H113.41563.89333.41562.16431.09222.16434.31754.98554.31752.49272.4927
H122.16433.41563.89333.41562.16431.09222.49274.31754.98554.31752.4927

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 B2PLYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.010      
2 C 0.010      
3 C 0.010      
4 C 0.010      
5 C 0.010      
6 C 0.010      
7 H -0.010      
8 H -0.010      
9 H -0.010      
10 H -0.010      
11 H -0.010      
12 H -0.010      


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 -32.146 0.000 0.000
y 0.000 -32.146 0.000
z 0.000 0.000 -39.442
Traceless
 xyz
x 3.648 0.000 0.000
y 0.000 3.648 0.000
z 0.000 0.000 -7.296
Polar
3z2-r2-14.593
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 11.039 0.000 0.000
y 0.000 11.039 0.000
z 0.000 0.000 3.606


<r2> (average value of r2) Å2
<r2> 129.495
(<r2>)1/2 11.380