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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/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 BLYP/daug-cc-pVDZ
 hartrees
Energy at 0K-232.161882
Energy at 298.15K-232.168114
HF Energy-232.161882
Nuclear repulsion energy201.351633
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 BLYP/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 3121 3121 0.00 1947.50 0.11 0.19
2 A1g 979 979 0.00 831.61 0.10 0.19
3 A2g 1323 1323 0.00 0.00 0.75 0.86
4 A2u 666 666 104.63 0.00 0.00 0.00
5 B1u 3088 3088 0.00 0.00 0.00 0.00
6 B1u 977 977 0.00 0.00 0.00 0.00
7 B2g 988 988 0.00 0.00 0.75 0.86
8 B2g 694 694 0.00 0.00 0.75 0.86
9 B2u 1318 1318 0.00 0.00 0.00 0.00
10 B2u 1138 1138 0.00 0.00 0.00 0.00
11 E1g 843 843 0.00 0.00 0.75 0.86
11 E1g 843 843 0.00 0.00 0.75 0.86
12 E1u 3111 3111 42.87 0.00 0.00 0.00
12 E1u 3111 3111 42.88 0.00 0.00 0.00
13 E1u 1450 1450 4.79 0.00 0.00 0.00
13 E1u 1450 1450 4.79 0.00 0.00 0.00
14 E1u 1025 1025 5.34 0.00 0.00 0.00
14 E1u 1025 1025 5.33 0.00 0.00 0.00
15 E2g 3097 3097 0.00 113.84 0.75 0.86
15 E2g 3097 3097 0.00 113.81 0.75 0.86
16 E2g 1569 1569 0.00 0.23 0.75 0.86
16 E2g 1569 1569 0.00 0.23 0.74 0.85
17 E2g 1156 1156 0.00 0.03 0.63 0.77
17 E2g 1156 1156 0.00 0.03 0.63 0.77
18 E2g 601 601 0.00 79.96 0.75 0.86
18 E2g 601 601 0.00 80.31 0.75 0.86
19 E2u 962 962 0.00 0.00 0.00 0.00
19 E2u 962 962 0.00 0.00 0.00 0.00
20 E2u 408 408 0.00 0.00 0.00 0.00
20 E2u 408 408 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21367.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21367.4 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 BLYP/daug-cc-pVDZ
ABC
0.18627 0.18627 0.09314

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.409 0.000
C2 1.221 0.705 0.000
C3 1.221 -0.705 0.000
C4 0.000 -1.409 0.000
C5 -1.221 -0.705 0.000
C6 -1.221 0.705 0.000
H7 0.000 2.506 0.000
H8 2.170 1.253 0.000
H9 2.170 -1.253 0.000
H10 0.000 -2.506 0.000
H11 -2.170 -1.253 0.000
H12 -2.170 1.253 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40942.44122.81882.44121.40941.09662.17593.43493.91543.43492.1759
C21.40941.40942.44122.81882.44122.17591.09662.17593.43493.91543.4349
C32.44121.40941.40942.44122.81883.43492.17591.09662.17593.43493.9154
C42.81882.44121.40941.40942.44123.91543.43492.17591.09662.17593.4349
C52.44122.81882.44121.40941.40943.43493.91543.43492.17591.09662.1759
C61.40942.44122.81882.44121.40942.17593.43493.91543.43492.17591.0966
H71.09662.17593.43493.91543.43492.17592.50604.34065.01204.34062.5060
H82.17591.09662.17593.43493.91543.43492.50602.50604.34065.01204.3406
H93.43492.17591.09662.17593.43493.91544.34062.50602.50604.34065.0120
H103.91543.43492.17591.09662.17593.43495.01204.34062.50602.50604.3406
H113.43493.91543.43492.17591.09662.17594.34065.01204.34062.50602.5060
H122.17593.43493.91543.43492.17591.09662.50604.34065.01204.34062.5060

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 BLYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.323      
2 C 1.323      
3 C 1.323      
4 C 1.323      
5 C 1.323      
6 C 1.323      
7 H -1.323      
8 H -1.323      
9 H -1.323      
10 H -1.323      
11 H -1.323      
12 H -1.323      


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 -33.028 0.000 0.000
y 0.000 -33.028 0.000
z 0.000 0.000 -40.137
Traceless
 xyz
x 3.555 0.000 0.000
y 0.000 3.555 0.000
z 0.000 0.000 -7.109
Polar
3z2-r2-14.218
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 12.780 0.000 0.000
y 0.000 12.780 0.000
z 0.000 0.000 6.889


<r2> (average value of r2) Å2
<r2> 131.302
(<r2>)1/2 11.459