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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B97D3/daug-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 B97D3/daug-cc-pVDZ
 hartrees
Energy at 0K-232.120927
Energy at 298.15K-232.127171
HF Energy-232.120927
Nuclear repulsion energy202.075684
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 B97D3/daug-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 3149 3149 0.00 405.66 0.09 0.16
2 A1g 994 994 0.00 256.52 0.09 0.17
3 A2g 1332 1332 0.00 0.00 0.75 0.86
4 A2u 665 665 107.33 0.00 0.00 0.00
5 B1u 3113 3113 0.00 0.00 0.00 0.00
6 B1u 990 990 0.00 0.00 0.00 0.00
7 B2g 986 986 0.00 0.00 0.75 0.86
8 B2g 696 696 0.00 0.00 0.75 0.86
9 B2u 1349 1349 0.00 0.00 0.00 0.00
10 B2u 1149 1149 0.00 0.00 0.00 0.00
11 E1g 840 840 0.00 5.48 0.75 0.86
11 E1g 840 840 0.00 5.46 0.75 0.86
12 E1u 3138 3138 52.80 0.00 0.00 0.00
12 E1u 3138 3138 52.76 0.00 0.00 0.00
13 E1u 1467 1467 4.64 0.00 0.00 0.00
13 E1u 1467 1467 4.64 0.00 0.00 0.00
14 E1u 1037 1037 5.33 0.00 0.00 0.00
14 E1u 1037 1037 5.32 0.00 0.00 0.00
15 E2g 3123 3123 0.00 33.91 0.75 0.86
15 E2g 3123 3123 0.00 33.92 0.75 0.86
16 E2g 1597 1597 0.00 24.79 0.75 0.86
16 E2g 1597 1597 0.00 24.83 0.75 0.86
17 E2g 1168 1168 0.00 7.65 0.75 0.86
17 E2g 1168 1168 0.00 7.55 0.75 0.86
18 E2g 606 606 0.00 4.11 0.75 0.86
18 E2g 606 606 0.00 4.19 0.75 0.86
19 E2u 959 959 0.00 0.00 0.00 0.00
19 E2u 959 959 0.00 0.00 0.00 0.00
20 E2u 403 403 0.00 0.00 0.00 0.00
20 E2u 403 403 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21551.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21551.6 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 B97D3/daug-cc-pVDZ
ABC
0.18764 0.18764 0.09382

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/daug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.404 0.000
C2 1.216 0.702 0.000
C3 1.216 -0.702 0.000
C4 0.000 -1.404 0.000
C5 -1.216 -0.702 0.000
C6 -1.216 0.702 0.000
H7 0.000 2.498 0.000
H8 2.163 1.249 0.000
H9 2.163 -1.249 0.000
H10 0.000 -2.498 0.000
H11 -2.163 -1.249 0.000
H12 -2.163 1.249 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40412.43202.80832.43201.40411.09362.16873.42313.90193.42312.1687
C21.40411.40412.43202.80832.43212.16871.09362.16873.42313.90193.4231
C32.43201.40411.40412.43212.80833.42312.16871.09362.16873.42313.9019
C42.80832.43201.40411.40412.43203.90193.42312.16871.09362.16873.4231
C52.43202.80832.43211.40411.40413.42313.90193.42312.16871.09362.1687
C61.40412.43212.80832.43201.40412.16873.42313.90193.42312.16871.0936
H71.09362.16873.42313.90193.42312.16872.49784.32634.99564.32632.4978
H82.16871.09362.16873.42313.90193.42312.49782.49784.32634.99564.3263
H93.42312.16871.09362.16873.42313.90194.32632.49782.49784.32634.9956
H103.90193.42312.16871.09362.16873.42314.99564.32632.49782.49784.3263
H113.42313.90193.42312.16871.09362.16874.32634.99564.32632.49782.4978
H122.16873.42313.90193.42312.16871.09362.49784.32634.99564.32632.4978

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 B97D3/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.078      
2 C 1.078      
3 C 1.078      
4 C 1.078      
5 C 1.078      
6 C 1.078      
7 H -1.078      
8 H -1.078      
9 H -1.078      
10 H -1.078      
11 H -1.078      
12 H -1.078      


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 -32.397 0.000 0.000
y 0.000 -32.397 0.000
z 0.000 0.000 -39.810
Traceless
 xyz
x 3.706 0.000 0.000
y 0.000 3.706 0.000
z 0.000 0.000 -7.413
Polar
3z2-r2-14.826
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 12.591 0.000 0.000
y 0.000 12.592 0.000
z 0.000 0.000 6.857


<r2> (average value of r2) Å2
<r2> 130.190
(<r2>)1/2 11.410