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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-232.017134
Energy at 298.15K-232.023341
HF Energy-232.017134
Nuclear repulsion energy202.985011
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 PBEPBEultrafine/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 3123 3088 0.00 447.25 0.10 0.18
2 A1g 995 983 0.00 87.63 0.03 0.05
3 A2g 1332 1317 0.00 0.00 0.75 0.86
4 A2u 665 658 105.48 0.00 0.00 0.00
5 B1u 3088 3053 0.00 0.00 0.00 0.00
6 B1u 994 983 0.00 0.00 0.00 0.00
7 B2g 981 970 0.00 0.02 0.75 0.86
8 B2g 702 694 0.00 0.00 0.75 0.86
9 B2u 1342 1327 0.00 0.00 0.00 0.00
10 B2u 1136 1123 0.00 0.00 0.00 0.00
11 E1g 838 828 0.00 0.19 0.75 0.86
11 E1g 838 828 0.00 0.33 0.75 0.86
12 E1u 3113 3078 33.78 0.00 0.00 0.00
12 E1u 3113 3078 33.78 0.00 0.00 0.00
13 E1u 1465 1449 5.83 0.00 0.00 0.00
13 E1u 1465 1449 5.83 0.00 0.00 0.00
14 E1u 1035 1023 5.60 0.00 0.00 0.00
14 E1u 1035 1023 5.60 0.00 0.00 0.00
15 E2g 3098 3063 0.00 136.74 0.75 0.86
15 E2g 3098 3063 0.00 137.19 0.75 0.86
16 E2g 1590 1572 0.00 12.36 0.75 0.86
16 E2g 1590 1572 0.00 12.15 0.75 0.86
17 E2g 1160 1147 0.00 6.38 0.75 0.86
17 E2g 1160 1147 0.00 6.56 0.75 0.86
18 E2g 599 593 0.00 2.32 0.75 0.86
18 E2g 599 593 0.00 2.28 0.75 0.86
19 E2u 954 944 0.00 0.00 0.00 0.00
19 E2u 954 944 0.00 0.00 0.00 0.00
20 E2u 395 391 0.00 0.00 0.00 0.00
20 E2u 395 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21426.7 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 21186.7 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.18938 0.18938 0.09469

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.397 0.000
C2 1.210 0.699 0.000
C3 1.210 -0.699 0.000
C4 0.000 -1.397 0.000
C5 -1.210 -0.699 0.000
C6 -1.210 0.699 0.000
H7 0.000 2.488 0.000
H8 2.155 1.244 0.000
H9 2.155 -1.244 0.000
H10 0.000 -2.488 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
C11.39742.42032.79482.42031.39741.09082.16033.40893.88563.40892.1603
C21.39741.39742.42032.79482.42032.16031.09082.16033.40893.88563.4089
C32.42031.39741.39742.42032.79483.40892.16031.09082.16033.40893.8856
C42.79482.42031.39741.39742.42033.88563.40892.16031.09082.16033.4089
C52.42032.79482.42031.39741.39743.40893.88563.40892.16031.09082.1603
C61.39742.42032.79482.42031.39742.16033.40893.88563.40892.16031.0908
H71.09082.16033.40893.88563.40892.16032.48824.30974.97644.30972.4882
H82.16031.09082.16033.40893.88563.40892.48822.48824.30974.97644.3097
H93.40892.16031.09082.16033.40893.88564.30972.48822.48824.30974.9764
H103.88563.40892.16031.09082.16033.40894.97644.30972.48822.48824.3097
H113.40893.88563.40892.16031.09082.16034.30974.97644.30972.48822.4882
H122.16033.40893.88563.40892.16031.09082.48824.30974.97644.30972.4882

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 PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.459      
2 C -0.459      
3 C -0.459      
4 C -0.459      
5 C -0.459      
6 C -0.459      
7 H 0.459      
8 H 0.459      
9 H 0.459      
10 H 0.459      
11 H 0.459      
12 H 0.459      


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 -32.330 0.000 0.000
y 0.000 -32.330 0.000
z 0.000 0.000 -39.811
Traceless
 xyz
x 3.740 0.000 0.000
y 0.000 3.740 0.000
z 0.000 0.000 -7.480
Polar
3z2-r2-14.961
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 12.425 0.000 0.000
y 0.000 12.425 0.000
z 0.000 0.000 6.699


<r2> (average value of r2) Å2
<r2> 129.194
(<r2>)1/2 11.366