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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-231.840033
Energy at 298.15K-231.846494
HF Energy-231.840033
Nuclear repulsion energy219.679491
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/aug-cc-pVTZ
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' 3135 3115 0.03      
2 A1' 1272 1264 0.00      
3 A1' 1095 1088 0.00      
4 A1' 923 917 0.00      
5 A1" 952 946 0.00      
6 A1" 622 618 0.00      
7 A2' 955 949 0.00      
8 A2" 3129 3108 52.68      
9 A2" 1306 1297 0.09      
10 A2" 948 942 3.63      
11 E' 3122 3102 29.45      
11 E' 3121 3101 29.39      
12 E' 1216 1208 13.77      
12 E' 1215 1207 13.91      
13 E' 905 899 3.12      
13 E' 905 899 3.08      
14 E' 827 821 0.75      
14 E' 826 821 0.61      
15 E' 790 785 48.32      
15 E' 790 785 48.27      
16 E" 3109 3089 0.00      
16 E" 3108 3088 0.04      
17 E" 1129 1122 0.00      
17 E" 1129 1122 0.00      
18 E" 979 972 0.00      
18 E" 978 972 0.00      
19 E" 753 748 0.00      
19 E" 752 747 0.00      
20 E" 652 648 0.00      
20 E" 651 647 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20646.1 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 20511.9 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 PBEPBE/aug-cc-pVTZ
ABC
0.23147 0.17915 0.17915

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ

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 1.678 1.519
H8 -1.453 -0.839 1.519
H9 1.453 -0.839 1.519
H10 0.000 1.678 -1.519
H11 1.453 -0.839 -1.519
H12 -1.453 -0.839 -1.519

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52471.52471.55872.18042.18041.08822.36992.36992.43313.21753.2175
C21.52471.52472.18042.18041.55872.36991.08822.36993.21753.21752.4331
C31.52471.52472.18041.55872.18042.36992.36991.08823.21752.43313.2175
C41.55872.18042.18041.52471.52472.43313.21753.21751.08822.36992.3699
C52.18042.18041.55871.52471.52473.21753.21752.43312.36991.08822.3699
C62.18041.55872.18041.52471.52473.21752.43313.21752.36992.36991.0882
H71.08822.36992.36992.43313.21753.21752.90692.90693.03824.20494.2049
H82.36991.08822.36993.21753.21752.43312.90692.90694.20494.20493.0382
H92.36992.36991.08823.21752.43313.21752.90692.90694.20493.03824.2049
H102.43313.21753.21751.08822.36992.36993.03824.20494.20492.90692.9069
H113.21753.21752.43312.36991.08822.36994.20494.20493.03822.90692.9069
H123.21752.43313.21752.36992.36991.08824.20493.03824.20492.90692.9069

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 129.429 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.429
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.830 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.429
C2 C3 C5 90.000 C2 C3 H9 129.429
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.830 C3 C1 C4 90.000
C3 C1 H7 129.429 C3 C2 C6 90.000
C3 C2 H8 129.429 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.830
C4 C1 H7 132.830 C4 C5 C6 60.000
C4 C5 H11 129.429 C4 C6 H12 129.429
C5 C3 H9 132.830 C5 C4 C6 60.000
C5 C4 H10 129.429 C5 C6 H12 129.429
C6 C2 H8 132.830 C6 C4 C5 60.000
C6 C4 H10 129.429 C6 C5 H11 129.429
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.493      
2 C -0.542      
3 C -0.542      
4 C -0.493      
5 C -0.542      
6 C -0.542      
7 H 0.490      
8 H 0.544      
9 H 0.544      
10 H 0.490      
11 H 0.544      
12 H 0.544      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 -0.001 0.000 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.885 0.000 0.000
y 0.000 -35.884 0.000
z 0.000 0.000 -33.362
Traceless
 xyz
x -1.263 0.000 0.000
y 0.000 -1.260 0.000
z 0.000 0.000 2.523
Polar
3z2-r25.046
x2-y2-0.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.918 0.000 0.000
y 0.000 8.918 0.000
z 0.000 0.000 9.479


<r2> (average value of r2) Å2
<r2> 102.397
(<r2>)1/2 10.119