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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBE/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-231.833575
Energy at 298.15K-231.840034
HF Energy-231.833575
Nuclear repulsion energy219.698862
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/6-311+G(3df,2p)
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' 3134 3109 0.00      
2 A1' 1273 1263 0.00      
3 A1' 1096 1087 0.00      
4 A1' 926 918 0.00      
5 A1" 954 946 0.00      
6 A1" 622 617 0.00      
7 A2' 957 949 0.00      
8 A2" 3128 3103 52.79      
9 A2" 1307 1296 0.09      
10 A2" 950 943 3.86      
11 E' 3121 3096 29.85      
11 E' 3121 3096 29.85      
12 E' 1218 1208 13.83      
12 E' 1218 1208 13.83      
13 E' 906 899 3.08      
13 E' 906 899 3.08      
14 E' 828 822 0.66      
14 E' 828 822 0.66      
15 E' 792 785 49.06      
15 E' 792 785 49.06      
16 E" 3108 3083 0.00      
16 E" 3108 3083 0.00      
17 E" 1131 1122 0.00      
17 E" 1131 1122 0.00      
18 E" 979 971 0.00      
18 E" 979 971 0.00      
19 E" 754 747 0.00      
19 E" 754 747 0.00      
20 E" 653 648 0.00      
20 E" 653 648 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20663.8 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 20494.4 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 PBEPBE/6-311+G(3df,2p)
ABC
0.23153 0.17918 0.17918

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.880 0.779
C2 -0.762 -0.440 0.779
C3 0.762 -0.440 0.779
C4 0.000 0.880 -0.779
C5 0.762 -0.440 -0.779
C6 -0.762 -0.440 -0.779
H7 0.000 1.679 1.519
H8 -1.454 -0.839 1.519
H9 1.454 -0.839 1.519
H10 0.000 1.679 -1.519
H11 1.454 -0.839 -1.519
H12 -1.454 -0.839 -1.519

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52441.52441.55872.18022.18021.08842.37002.37002.43293.21743.2174
C21.52441.52442.18022.18021.55872.37001.08842.37003.21743.21742.4329
C31.52441.52442.18021.55872.18022.37002.37001.08843.21742.43293.2174
C41.55872.18022.18021.52441.52442.43293.21743.21741.08842.37002.3700
C52.18022.18021.55871.52441.52443.21743.21742.43292.37001.08842.3700
C62.18021.55872.18021.52441.52443.21742.43293.21742.37002.37001.0884
H71.08842.37002.37002.43293.21743.21742.90762.90763.03764.20494.2049
H82.37001.08842.37003.21743.21742.43292.90762.90764.20494.20493.0376
H92.37002.37001.08843.21742.43293.21742.90762.90764.20493.03764.2049
H102.43293.21743.21741.08842.37002.37003.03764.20494.20492.90762.9076
H113.21743.21742.43292.37001.08842.37004.20494.20493.03762.90762.9076
H123.21742.43293.21742.37002.37001.08844.20493.03764.20492.90762.9076

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 129.452 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.452
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.800 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.452
C2 C3 C5 90.000 C2 C3 H9 129.452
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.800 C3 C1 C4 90.000
C3 C1 H7 129.452 C3 C2 C6 90.000
C3 C2 H8 129.452 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.800
C4 C1 H7 132.800 C4 C5 C6 60.000
C4 C5 H11 129.452 C4 C6 H12 129.452
C5 C3 H9 132.800 C5 C4 C6 60.000
C5 C4 H10 129.452 C5 C6 H12 129.452
C6 C2 H8 132.800 C6 C4 C5 60.000
C6 C4 H10 129.452 C6 C5 H11 129.452
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.121      
2 C -0.121      
3 C -0.121      
4 C -0.121      
5 C -0.121      
6 C -0.121      
7 H 0.121      
8 H 0.121      
9 H 0.121      
10 H 0.121      
11 H 0.121      
12 H 0.121      


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 -35.891 0.000 0.000
y 0.000 -35.891 0.000
z 0.000 0.000 -33.332
Traceless
 xyz
x -1.280 0.000 0.000
y 0.000 -1.280 0.000
z 0.000 0.000 2.560
Polar
3z2-r25.119
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 8.855 0.000 0.000
y 0.000 8.855 0.000
z 0.000 0.000 9.346


<r2> (average value of r2) Å2
<r2> 102.383
(<r2>)1/2 10.118