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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/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 wB97X-D/cc-pVDZ
 hartrees
Energy at 0K-232.180422
Energy at 298.15K-232.186805
HF Energy-232.180422
Nuclear repulsion energy203.287091
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 wB97X-D/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 3234 3080 0.00 401.05 0.10 0.19
2 A1g 1036 987 0.00 56.51 0.09 0.17
3 A2g 1370 1305 0.00 0.00 0.75 0.86
4 A2u 697 664 87.76 0.00 0.00 0.00
5 B1u 3196 3044 0.00 0.00 0.00 0.00
6 B1u 1019 971 0.00 0.00 0.00 0.00
7 B2g 1034 985 0.00 0.00 0.75 0.86
8 B2g 729 694 0.00 0.00 0.75 0.86
9 B2u 1363 1298 0.00 0.00 0.00 0.00
10 B2u 1171 1115 0.00 0.00 0.00 0.00
11 E1g 878 836 0.00 3.09 0.75 0.86
11 E1g 878 836 0.00 3.08 0.75 0.86
12 E1u 3223 3070 34.68 0.00 0.00 0.00
12 E1u 3223 3070 34.68 0.00 0.00 0.00
13 E1u 1521 1449 7.83 0.00 0.00 0.00
13 E1u 1521 1449 7.83 0.00 0.00 0.00
14 E1u 1072 1022 5.77 0.00 0.00 0.00
14 E1u 1072 1022 5.75 0.00 0.00 0.00
15 E2g 3206 3054 0.00 139.47 0.75 0.86
15 E2g 3206 3054 0.00 139.49 0.75 0.86
16 E2g 1681 1601 0.00 9.75 0.75 0.86
16 E2g 1681 1601 0.00 9.69 0.75 0.86
17 E2g 1199 1142 0.00 8.66 0.75 0.86
17 E2g 1199 1142 0.00 8.59 0.75 0.86
18 E2g 623 593 0.00 3.92 0.75 0.86
18 E2g 623 593 0.00 3.92 0.75 0.86
19 E2u 1004 956 0.00 0.00 0.00 0.00
19 E2u 1004 956 0.00 0.00 0.00 0.00
20 E2u 416 396 0.00 0.00 0.00 0.00
20 E2u 416 396 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22245.1 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 21190.7 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 wB97X-D/cc-pVDZ
ABC
0.19001 0.19001 0.09500

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.697 0.000
C3 1.208 -0.697 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.697 0.000
C6 -1.208 0.697 0.000
H7 0.000 2.487 0.000
H8 2.153 1.243 0.000
H9 2.153 -1.243 0.000
H10 0.000 -2.487 0.000
H11 -2.153 -1.243 0.000
H12 -2.153 1.243 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39472.41572.78942.41571.39471.09182.15873.40533.88123.40532.1587
C21.39471.39472.41572.78942.41572.15871.09182.15873.40533.88123.4053
C32.41571.39471.39472.41572.78943.40532.15871.09182.15873.40533.8812
C42.78942.41571.39471.39472.41573.88123.40532.15871.09182.15873.4053
C52.41572.78942.41571.39471.39473.40533.88123.40532.15871.09182.1587
C61.39472.41572.78942.41571.39472.15873.40533.88123.40532.15871.0918
H71.09182.15873.40533.88123.40532.15872.48654.30684.97304.30682.4865
H82.15871.09182.15873.40533.88123.40532.48652.48654.30684.97304.3068
H93.40532.15871.09182.15873.40533.88124.30682.48652.48654.30684.9730
H103.88123.40532.15871.09182.15873.40534.97304.30682.48652.48654.3068
H113.40533.88123.40532.15871.09182.15874.30684.97304.30682.48652.4865
H122.15873.40533.88123.40532.15871.09182.48654.30684.97304.30682.4865

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 wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.007      
2 C -0.007      
3 C -0.007      
4 C -0.007      
5 C -0.007      
6 C -0.007      
7 H 0.007      
8 H 0.007      
9 H 0.007      
10 H 0.007      
11 H 0.007      
12 H 0.007      


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 -31.466 0.000 0.000
y 0.000 -31.466 0.000
z 0.000 0.000 -39.212
Traceless
 xyz
x 3.873 0.000 0.000
y 0.000 3.873 0.000
z 0.000 0.000 -7.746
Polar
3z2-r2-15.491
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 10.965 0.000 0.000
y 0.000 10.961 0.000
z 0.000 0.000 3.638


<r2> (average value of r2) Å2
<r2> 128.391
(<r2>)1/2 11.331