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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-231.804722
Energy at 298.15K-231.811163
HF Energy-231.804722
Nuclear repulsion energy219.320886
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 PBEPBE/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 3133 3100 0.00      
2 A1' 1284 1271 0.00      
3 A1' 1101 1090 0.00      
4 A1' 925 915 0.00      
5 A1" 944 934 0.00      
6 A1" 624 618 0.00      
7 A2' 945 935 0.00      
8 A2" 3126 3093 82.91      
9 A2" 1317 1304 0.29      
10 A2" 948 938 3.51      
11 E' 3118 3086 46.51      
11 E' 3118 3086 46.51      
12 E' 1224 1211 12.80      
12 E' 1224 1211 12.80      
13 E' 915 905 1.77      
13 E' 915 905 1.77      
14 E' 829 821 2.04      
14 E' 829 821 2.04      
15 E' 791 783 52.02      
15 E' 791 783 52.02      
16 E" 3105 3072 0.00      
16 E" 3105 3072 0.00      
17 E" 1129 1118 0.00      
17 E" 1129 1118 0.00      
18 E" 982 972 0.00      
18 E" 982 972 0.00      
19 E" 759 751 0.00      
19 E" 759 751 0.00      
20 E" 650 643 0.00      
20 E" 650 643 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20674.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 20459.8 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 PBEPBE/6-311G*
ABC
0.23067 0.17861 0.17861

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.882 0.780
C2 -0.764 -0.441 0.780
C3 0.764 -0.441 0.780
C4 0.000 0.882 -0.780
C5 0.764 -0.441 -0.780
C6 -0.764 -0.441 -0.780
H7 0.000 1.682 1.523
H8 -1.457 -0.841 1.523
H9 1.457 -0.841 1.523
H10 0.000 1.682 -1.523
H11 1.457 -0.841 -1.523
H12 -1.457 -0.841 -1.523

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52721.52721.56032.18332.18331.09152.37492.37492.43773.22363.2236
C21.52721.52722.18332.18331.56032.37491.09152.37493.22363.22362.4377
C31.52721.52722.18331.56032.18332.37492.37491.09153.22362.43773.2236
C41.56032.18332.18331.52721.52722.43773.22363.22361.09152.37492.3749
C52.18332.18331.56031.52721.52723.22363.22362.43772.37491.09152.3749
C62.18331.56032.18331.52721.52723.22362.43773.22362.37492.37491.0915
H71.09152.37492.37492.43773.22363.22362.91312.91313.04504.21414.2141
H82.37491.09152.37493.22363.22362.43772.91312.91314.21414.21413.0450
H92.37492.37491.09153.22362.43773.22362.91312.91314.21413.04504.2141
H102.43773.22363.22361.09152.37492.37493.04504.21414.21412.91312.9131
H113.22363.22362.43772.37491.09152.37494.21414.21413.04502.91312.9131
H123.22362.43773.22362.37492.37491.09154.21413.04504.21412.91312.9131

picture of Prismane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.000 C1 C2 C6 90.000
C1 C2 H8 129.411 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.411
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.853 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.411
C2 C3 C5 90.000 C2 C3 H9 129.411
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.853 C3 C1 C4 90.000
C3 C1 H7 129.411 C3 C2 C6 90.000
C3 C2 H8 129.411 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.853
C4 C1 H7 132.853 C4 C5 C6 60.000
C4 C5 H11 129.411 C4 C6 H12 129.411
C5 C3 H9 132.853 C5 C4 C6 60.000
C5 C4 H10 129.411 C5 C6 H12 129.411
C6 C2 H8 132.853 C6 C4 C5 60.000
C6 C4 H10 129.411 C6 C5 H11 129.411
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.173      
2 C -0.173      
3 C -0.173      
4 C -0.173      
5 C -0.173      
6 C -0.173      
7 H 0.173      
8 H 0.173      
9 H 0.173      
10 H 0.173      
11 H 0.173      
12 H 0.173      


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 -35.727 0.000 0.000
y 0.000 -35.727 0.000
z 0.000 0.000 -32.833
Traceless
 xyz
x -1.447 0.000 0.000
y 0.000 -1.447 0.000
z 0.000 0.000 2.894
Polar
3z2-r25.788
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 7.831 0.000 0.000
y 0.000 7.831 0.000
z 0.000 0.000 8.544


<r2> (average value of r2) Å2
<r2> 102.491
(<r2>)1/2 10.124