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Fluorobenzene Quantum Calculations

All of the live displays on this page were created using the best optimized geometry.  The best found geometry optimization was at the ab initio theory level of DZV. 

The energy of the HOMO orbital is -0.3536 a.u.
The button below shows the HOMO orbital for fluorobenzene


The LUMO orbital of fluorobenzene is found at an energy of 0.1069 a.u. 
Clicking the button below will show a live display of the LUMO orbital. 

 
Clicking on the button below will display a live model of fluorobenzene with bond lengths.

The C-F bond has a length of 1.38 Å, this is higher than the literature value of 1.354 Å.1  The percent error is 1.92%. 

The two C-C bonds closest to the fluorine have a length of 1.38 Å, which is lower than the reference value of 1.392 Å.1  The error percent of these bonds is 1.2%.

The remaining 4 C-C bonds have lengths of  1.4
Å.  Comparing this to the literature value of 1.392 Å yields an error of 0.83%. 1

The C-H bonds in the molecule have bond lengths of  1.07 Å.  The error is 1.1% when compared to the literature value of 1.082 Å.1 

The button below shows bond angles of fluorobenzene.

All bond angles for this molecule are at or around the expected value of 120 degrees. 

The DZV basis set was chosen as the best for this molecule because it is the largest of the tested basis sets.  The DZV basis set, being larger, hopefully accounts for everything in this complex molecule. 



The button below shows the partial atomic charges for fluorobenzene.


The button below shows the electrostatic potential for fluorobenzene.


The 8 main contributions to the energy vibrations are discussed and shown below.

The energy for the 1.36 vibration is 3446.6301 cm-1.  This is contributed to the symmetric C-H stretching.


The energy for the 1.32 vibration is 3405.6702 cm-1.  This shows assymmetrical C-H stretching.


The 1.30 vibration has an energy of 1791.2 cm-1. There are two modes of this, and the button above is an example of one.  This correlates to framework motions and stretching of the benzene ring.


The 1.29 vibration has an energy of 1652.37 cm-1.  This has two modes, and one example is shown above.  This is contributed to the aromatic C-C stretching as well as stretching of the C-F bond.


The 1.27 vibration has an energy of 1472.25 cm-1.  This correlates to the stretching of the two C-C bonds parallel to the C-F bond as well as the wagging of C-H bonds.


Vibrational energy 1.25 correlates to the C-F stretching as well as C-C stretching.  Two of the four hydrogens are wagging, which also adds to the energy.  The energy is 1327.99 cm-1.


C-F stretching and C-H bending correspond to vibration 1.24.  The energy of this vibration is 1292.06 cm-1.


C-H bending is responsible for vibration 1.17 and the energy is 1054.1799 cm-1.

The IR spectrum for fluorobenzene below was found on the website for the spectral database system for organic compounds.2
Fluorobenzene IR Spectrum

The dipole moment for fluorobenzene was found to be 1.575356 Debye and when compared to the literature value of 1.66 Debye, has an error of 5.1%.1  This was done using an AM1 basis set, which is a very small basis set in comparison to some of the other basis sets.  The DZV basis set, which is the largest, actually had the worst dipole moment value out of all of them.

Below is a table of calculated excitation energies for UV-Vis spectroscopy of Fluorobenzene.
Basis Set
Excitation Energy (nm) Oscillation Strength
Excited State
6-21G
186.02
0.017457
1
6-21G 138.38
1.108524
3
6-21G 136.98
1.150438
4
6-21G 124.79
0.009360
6
6-21G 114.75
0.001383
10
6-31G
189.64
0.012066
1
6-31G 182.20
0.001278
2
6-31G 141.08
1.119436
3
6-31G 139.75
1.194338
4
6-31G 129.69
0.003585
5
6-31G 125.33
0.009131
7
DZV
194.23
0.011203
1
DZV 187.01
0.002473
2
DZV 144.86
1.194734
3
DZV 143.94
1.271145
4
DZV 127.09
0.010794
5
DZV 124.90
0.020913
7
DZV 117.83
0.005455
9
Some excited state values were omitted from the table due to low oscillation strengths.  The first excited states for each basis set each have a wavelength that falls within the first peak around 200nm, but the rest of the wavelengths fall outside the range of the experimental UV-Vis spectrum.

The following UV-Vis spectrum was obtained from the NIST.1
UV-Vis Spectrum of Fluorbenzene

References

Based on template by A. Herráez as modified by J. Gutow
Page skeleton and JavaScript generated by export to web function using Jmol 12.2.34 2012-08-09 20:37 on Feb 26, 2013.