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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G**
 hartrees
Energy at 0K-231.844784
Energy at 298.15K-231.851468
HF Energy-231.844784
Nuclear repulsion energy221.033501
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 PBE1PBE/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' 3232 3100 0.00      
2 A1' 1339 1284 0.00      
3 A1' 1142 1096 0.00      
4 A1' 958 919 0.00      
5 A1" 1000 959 0.00      
6 A1" 646 620 0.00      
7 A2' 1001 960 0.00      
8 A2" 3224 3093 47.17      
9 A2" 1379 1323 0.05      
10 A2" 983 943 3.33      
11 E' 3217 3086 24.81      
11 E' 3217 3086 24.81      
12 E' 1273 1221 13.52      
12 E' 1273 1221 13.52      
13 E' 963 924 2.76      
13 E' 963 924 2.76      
14 E' 865 830 2.51      
14 E' 865 830 2.51      
15 E' 826 792 54.36      
15 E' 826 792 54.36      
16 E" 3204 3074 0.00      
16 E" 3204 3074 0.00      
17 E" 1173 1126 0.00      
17 E" 1173 1126 0.00      
18 E" 1028 986 0.00      
18 E" 1028 986 0.00      
19 E" 797 765 0.00      
19 E" 797 765 0.00      
20 E" 685 657 0.00      
20 E" 685 657 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21483.1 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 20610.9 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 PBE1PBE/6-311G**
ABC
0.23446 0.18132 0.18132

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.874 0.775
C2 -0.757 -0.437 0.775
C3 0.757 -0.437 0.775
C4 0.000 0.874 -0.775
C5 0.757 -0.437 -0.775
C6 -0.757 -0.437 -0.775
H7 0.000 1.669 1.510
H8 -1.445 -0.834 1.510
H9 1.445 -0.834 1.510
H10 0.000 1.669 -1.510
H11 1.445 -0.834 -1.510
H12 -1.445 -0.834 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51461.51461.54972.16692.16691.08262.35592.35592.41923.19863.1986
C21.51461.51462.16692.16691.54972.35591.08262.35593.19863.19862.4192
C31.51461.51462.16691.54972.16692.35592.35591.08263.19862.41923.1986
C41.54972.16692.16691.51461.51462.41923.19863.19861.08262.35592.3559
C52.16692.16691.54971.51461.51463.19863.19862.41922.35591.08262.3559
C62.16691.54972.16691.51461.51463.19862.41923.19862.35592.35591.0826
H71.08262.35592.35592.41923.19863.19862.89072.89073.02044.18084.1808
H82.35591.08262.35593.19863.19862.41922.89072.89074.18084.18083.0204
H92.35592.35591.08263.19862.41923.19862.89072.89074.18083.02044.1808
H102.41923.19863.19861.08262.35592.35593.02044.18084.18082.89072.8907
H113.19863.19862.41922.35591.08262.35594.18084.18083.02042.89072.8907
H123.19862.41923.19862.35592.35591.08264.18083.02044.18082.89072.8907

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 129.463 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.463
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.786 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.463
C2 C3 C5 90.000 C2 C3 H9 129.463
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.786 C3 C1 C4 90.000
C3 C1 H7 129.463 C3 C2 C6 90.000
C3 C2 H8 129.463 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.786
C4 C1 H7 132.786 C4 C5 C6 60.000
C4 C5 H11 129.463 C4 C6 H12 129.463
C5 C3 H9 132.786 C5 C4 C6 60.000
C5 C4 H10 129.463 C5 C6 H12 129.463
C6 C2 H8 132.786 C6 C4 C5 60.000
C6 C4 H10 129.463 C6 C5 H11 129.463
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.095      
2 C -0.095      
3 C -0.095      
4 C -0.095      
5 C -0.095      
6 C -0.095      
7 H 0.095      
8 H 0.095      
9 H 0.095      
10 H 0.095      
11 H 0.095      
12 H 0.095      


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 -35.409 0.000 0.000
y 0.000 -35.409 0.000
z 0.000 0.000 -32.564
Traceless
 xyz
x -1.423 0.000 0.000
y 0.000 -1.423 0.000
z 0.000 0.000 2.845
Polar
3z2-r25.690
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 7.619 0.000 0.000
y 0.000 7.619 0.000
z 0.000 0.000 8.226


<r2> (average value of r2) Å2
<r2> 101.063
(<r2>)1/2 10.053