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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-231.804678
Energy at 298.15K-231.811117
HF Energy-231.804678
Nuclear repulsion energy219.318442
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/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' 3131 3099 0.00      
2 A1' 1284 1270 0.00      
3 A1' 1101 1090 0.00      
4 A1' 925 915 0.00      
5 A1" 945 935 0.00      
6 A1" 624 617 0.00      
7 A2' 945 935 0.00      
8 A2" 3124 3092 82.88      
9 A2" 1316 1302 0.30      
10 A2" 947 938 3.51      
11 E' 3117 3084 46.48      
11 E' 3117 3084 46.48      
12 E' 1223 1210 12.96      
12 E' 1223 1210 12.96      
13 E' 913 904 1.63      
13 E' 913 904 1.63      
14 E' 828 819 1.71      
14 E' 828 819 1.71      
15 E' 792 783 52.32      
15 E' 792 783 52.32      
16 E" 3103 3071 0.00      
16 E" 3103 3071 0.00      
17 E" 1129 1117 0.00      
17 E" 1129 1117 0.00      
18 E" 981 971 0.00      
18 E" 981 971 0.00      
19 E" 758 750 0.00      
19 E" 758 750 0.00      
20 E" 650 644 0.00      
20 E" 650 644 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20664.4 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 20449.5 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/6-311G*
ABC
0.23066 0.17861 0.17861

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.522
H8 -1.457 -0.841 1.522
H9 1.457 -0.841 1.522
H10 0.000 1.682 -1.522
H11 1.457 -0.841 -1.522
H12 -1.457 -0.841 -1.522

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52721.52721.56032.18342.18341.09152.37492.37492.43773.22363.2236
C21.52721.52722.18342.18341.56032.37491.09152.37493.22363.22362.4377
C31.52721.52722.18341.56032.18342.37492.37491.09153.22362.43773.2236
C41.56032.18342.18341.52721.52722.43773.22363.22361.09152.37492.3749
C52.18342.18341.56031.52721.52723.22363.22362.43772.37491.09152.3749
C62.18341.56032.18341.52721.52723.22362.43773.22362.37492.37491.0915
H71.09152.37492.37492.43773.22363.22362.91322.91323.04494.21414.2141
H82.37491.09152.37493.22363.22362.43772.91322.91324.21414.21413.0449
H92.37492.37491.09153.22362.43773.22362.91322.91324.21413.04494.2141
H102.43773.22363.22361.09152.37492.37493.04494.21414.21412.91322.9132
H113.22363.22362.43772.37491.09152.37494.21414.21413.04492.91322.9132
H123.22362.43773.22362.37492.37491.09154.21413.04494.21412.91322.9132

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 129.413 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.413
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.851 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.413
C2 C3 C5 90.000 C2 C3 H9 129.413
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.851 C3 C1 C4 90.000
C3 C1 H7 129.413 C3 C2 C6 90.000
C3 C2 H8 129.413 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.851
C4 C1 H7 132.851 C4 C5 C6 60.000
C4 C5 H11 129.413 C4 C6 H12 129.413
C5 C3 H9 132.851 C5 C4 C6 60.000
C5 C4 H10 129.413 C5 C6 H12 129.413
C6 C2 H8 132.851 C6 C4 C5 60.000
C6 C4 H10 129.413 C6 C5 H11 129.413
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 -32.834
Traceless
 xyz
x -1.446 0.000 0.000
y 0.000 -1.446 0.000
z 0.000 0.000 2.893
Polar
3z2-r25.786
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> 102.493
(<r2>)1/2 10.124