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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/TZVP

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/TZVP
 hartrees
Energy at 0K-232.205057
Energy at 298.15K-232.211374
HF Energy-232.205057
Nuclear repulsion energy204.704019
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/TZVP
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 3227 3088 0.00 418.04 0.11 0.19
2 A1g 1032 988 0.00 67.69 0.05 0.10
3 A2g 1384 1324 0.00 0.00 0.75 0.86
4 A2u 692 662 116.39 0.00 0.00 0.00
5 B1u 3192 3054 0.00 0.00 0.00 0.00
6 B1u 1021 977 0.00 0.00 0.00 0.00
7 B2g 1001 958 0.00 0.00 0.75 0.86
8 B2g 677 648 0.00 0.00 0.75 0.86
9 B2u 1366 1307 0.00 0.00 0.00 0.00
10 B2u 1180 1129 0.00 0.00 0.00 0.00
11 E1g 869 831 0.00 0.09 0.75 0.86
11 E1g 869 831 0.00 0.09 0.75 0.86
12 E1u 3217 3079 32.51 0.00 0.00 0.00
12 E1u 3217 3079 32.56 0.00 0.00 0.00
13 E1u 1527 1461 8.25 0.00 0.00 0.00
13 E1u 1527 1461 8.22 0.00 0.00 0.00
14 E1u 1075 1029 6.23 0.00 0.00 0.00
14 E1u 1075 1029 6.26 0.00 0.00 0.00
15 E2g 3202 3064 0.00 128.59 0.75 0.86
15 E2g 3202 3064 0.00 128.59 0.75 0.86
16 E2g 1667 1595 0.00 9.75 0.75 0.86
16 E2g 1667 1595 0.00 9.76 0.75 0.86
17 E2g 1206 1154 0.00 6.04 0.75 0.86
17 E2g 1206 1154 0.00 6.04 0.75 0.86
18 E2g 617 591 0.00 4.74 0.75 0.86
18 E2g 617 591 0.00 4.75 0.75 0.86
19 E2u 975 933 0.00 0.00 0.00 0.00
19 E2u 975 933 0.00 0.00 0.00 0.00
20 E2u 406 388 0.00 0.00 0.00 0.00
20 E2u 406 388 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22145.5 cm-1
Scaled (by 0.9569) Zero Point Vibrational Energy (zpe) 21191.1 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/TZVP
ABC
0.19259 0.19259 0.09630

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.386 0.000
C2 1.200 0.693 0.000
C3 1.200 -0.693 0.000
C4 0.000 -1.386 0.000
C5 -1.200 -0.693 0.000
C6 -1.200 0.693 0.000
H7 0.000 2.467 0.000
H8 2.137 1.234 0.000
H9 2.137 -1.234 0.000
H10 0.000 -2.467 0.000
H11 -2.137 -1.234 0.000
H12 -2.137 1.234 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38572.40012.77142.40011.38571.08142.14203.38023.85283.38022.1420
C21.38571.38572.40012.77142.40012.14201.08142.14203.38023.85283.3802
C32.40011.38571.38572.40012.77143.38022.14201.08142.14203.38023.8528
C42.77142.40011.38571.38572.40013.85283.38022.14201.08142.14203.3802
C52.40012.77142.40011.38571.38573.38023.85283.38022.14201.08142.1420
C61.38572.40012.77142.40011.38572.14203.38023.85283.38022.14201.0814
H71.08142.14203.38023.85283.38022.14202.46714.27324.93434.27322.4671
H82.14201.08142.14203.38023.85283.38022.46712.46714.27324.93434.2732
H93.38022.14201.08142.14203.38023.85284.27322.46712.46714.27324.9343
H103.85283.38022.14201.08142.14203.38024.93434.27322.46712.46714.2732
H113.38023.85283.38022.14201.08142.14204.27324.93434.27322.46712.4671
H122.14203.38023.85283.38022.14201.08142.46714.27324.93434.27322.4671

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 C -0.120      
3 C -0.120      
4 C -0.120      
5 C -0.120      
6 C -0.120      
7 H 0.120      
8 H 0.120      
9 H 0.120      
10 H 0.120      
11 H 0.120      
12 H 0.120      


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 -31.567 0.000 0.000
y 0.000 -31.567 0.000
z 0.000 0.000 -39.666
Traceless
 xyz
x 4.049 0.000 0.000
y 0.000 4.049 0.000
z 0.000 0.000 -8.098
Polar
3z2-r2-16.196
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 11.188 0.000 0.000
y 0.000 11.186 0.000
z 0.000 0.000 5.388


<r2> (average value of r2) Å2
<r2> 127.049
(<r2>)1/2 11.272