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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B1B95/Def2TZVPP
 hartrees
Energy at 0K-232.216225
Energy at 298.15K-232.222575
HF Energy-232.216225
Nuclear repulsion energy204.854733
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 B1B95/Def2TZVPP
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 3224 3224 0.00 429.83 0.10 0.18
2 A1g 1033 1033 0.00 69.05 0.05 0.09
3 A2g 1382 1382 0.00 0.00 0.75 0.86
4 A2u 694 694 107.62 0.00 0.00 0.00
5 B1u 3188 3188 0.00 0.00 0.00 0.00
6 B1u 1022 1022 0.00 0.00 0.00 0.00
7 B2g 1028 1028 0.00 0.00 0.75 0.86
8 B2g 728 728 0.00 0.00 0.75 0.86
9 B2u 1367 1367 0.00 0.00 0.00 0.00
10 B2u 1171 1171 0.00 0.00 0.00 0.00
11 E1g 874 874 0.00 0.00 0.75 0.86
11 E1g 874 874 0.00 0.00 0.75 0.86
12 E1u 3214 3214 33.78 0.00 0.00 0.00
12 E1u 3214 3214 33.70 0.00 0.00 0.00
13 E1u 1526 1526 7.71 0.00 0.00 0.00
13 E1u 1526 1526 7.67 0.00 0.00 0.00
14 E1u 1074 1074 5.15 0.00 0.00 0.00
14 E1u 1074 1074 5.13 0.00 0.00 0.00
15 E2g 3198 3198 0.00 129.69 0.75 0.86
15 E2g 3198 3198 0.00 129.70 0.75 0.86
16 E2g 1667 1667 0.00 9.35 0.75 0.86
16 E2g 1667 1667 0.00 9.32 0.75 0.86
17 E2g 1201 1201 0.00 6.58 0.75 0.86
17 E2g 1201 1201 0.00 6.59 0.75 0.86
18 E2g 614 614 0.00 3.77 0.75 0.86
18 E2g 614 614 0.00 3.76 0.75 0.86
19 E2u 998 998 0.00 0.00 0.00 0.00
19 E2u 998 998 0.00 0.00 0.00 0.00
20 E2u 410 410 0.00 0.00 0.00 0.00
20 E2u 410 410 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22194.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22194.8 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 B1B95/Def2TZVPP
ABC
0.19287 0.19287 0.09644

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/Def2TZVPP

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.385 0.000
C2 1.199 0.692 0.000
C3 1.199 -0.692 0.000
C4 0.000 -1.385 0.000
C5 -1.199 -0.692 0.000
C6 -1.199 0.692 0.000
H7 0.000 2.465 0.000
H8 2.135 1.233 0.000
H9 2.135 -1.233 0.000
H10 0.000 -2.465 0.000
H11 -2.135 -1.233 0.000
H12 -2.135 1.233 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38472.39842.76942.39841.38471.08052.14033.37763.84993.37762.1403
C21.38471.38472.39842.76942.39842.14031.08052.14033.37763.84993.3776
C32.39841.38471.38472.39842.76943.37762.14031.08052.14033.37763.8499
C42.76942.39841.38471.38472.39843.84993.37762.14031.08052.14033.3776
C52.39842.76942.39841.38471.38473.37763.84993.37762.14031.08052.1403
C61.38472.39842.76942.39841.38472.14033.37763.84993.37762.14031.0805
H71.08052.14033.37763.84993.37762.14032.46524.26984.93044.26982.4652
H82.14031.08052.14033.37763.84993.37762.46522.46524.26984.93044.2698
H93.37762.14031.08052.14033.37763.84994.26982.46522.46524.26984.9304
H103.84993.37762.14031.08052.14033.37764.93044.26982.46522.46524.2698
H113.37763.84993.37762.14031.08052.14034.26984.93044.26982.46522.4652
H122.14033.37763.84993.37762.14031.08052.46524.26984.93044.26982.4652

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 B1B95/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.113      
2 C -0.113      
3 C -0.113      
4 C -0.113      
5 C -0.113      
6 C -0.113      
7 H 0.113      
8 H 0.113      
9 H 0.113      
10 H 0.113      
11 H 0.113      
12 H 0.113      


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 -31.670 0.000 0.000
y 0.000 -31.670 0.000
z 0.000 0.000 -39.398
Traceless
 xyz
x 3.864 0.000 0.000
y 0.000 3.864 0.000
z 0.000 0.000 -7.728
Polar
3z2-r2-15.456
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 11.445 0.000 0.000
y 0.000 11.443 0.000
z 0.000 0.000 5.728


<r2> (average value of r2) Å2
<r2> 126.880
(<r2>)1/2 11.264