Chlorine Monofluoride (FCl)
        The MO Calculations for Chlorine Monofluoride (FCl)
 
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Figure 1: Geometry of FCl using 6-21G calculation

        For Chlorine Monofluoride, the over all best calculated dipole moment was from AM1 calculation while the best calculated dipole moment among the ab initio theory calculation was 621G. The same pattern holds true for the bond length. The 6-21G calculation yielded an 28.5% error for the dipole moment and a 3.79% error for the bond length for Chlorine Monofluoride. The data collected from the calculations is shown below.

Table 1: Dipole moment and bond length for the five levels of theory.

Theory Dipole Moment (Db)
Percent Error (%)
Bond Length (nm)
Percent Error (%)
Literature
0.881±.002 5 ---
.16283 6 ---
AM1
0.856872
2.74
0.165
1.33
PM3
1.680765
90.8
0.158
2.97
6-21G
1.132491
28.5
0.169
3.79
6-31G
1.607802
82.5
0.171
5.01
DZV
1.841146
109.
0.172
5.63

        It is obvious that the results of the dipole moment and bond length from AM1 was the closest to the literature value. However, for ab initio theory, 6-21G had the closest results to the literature value. Therefore, we adopted 6-21G for the rest of the calculations for Chlorine Monofluoride.

        The geometry of chlorine fluoride under 6-21G, 6-31G, DZV, and AM1 are shown from Figure 1 to Figure 4. The bond length is labeled in each figure as well. The bond angle of FCl was not included since it is 180 degrees.
 
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Figure 2: Geometry of FCl using  6-31G calculation
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Figure 3: Geometry of FCl using DZV calculation
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Figure 4: Geometry of FCl using AM1 calculation




         The Highest Occupied Molecular Orbital (HOMO) was found at orbital 13. The HOMO was calculated by dividing the sum of the total number of electrons in the molecule by 2. The Lowest Unoccupied Molecular Orbital (LUMO) was found at orbital 14. The LUMO was the orbital that would be filled by the excited valence electron(s) from the HOMO if proper excitation occurs.

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Figure 5: Highest Occupied Molecular Orbital for FCl using 6-21G calculation
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Figure 6: Lowest Unoccupied Molecular Orbital for FCl using 6-21G calculation



 

        The electrostatic potential of FCl using 6-21G calculation was shown in Figure 7. The electrostatic potential used a color spectrum, which uses red to indicate the lowest electrostatic potential and blue to indicate the highest electrostatic potential. 7 The electrostatic potential shows the electron distribution in the molecules. 7

        The partial atomic charge is shown in Figure 8. It is the distribution by the asymmetric scatter of the electrons in the molecule. Fluorine is more electronegative than chlorine. Therefore, the fluorine had the negative partial atomic charge; the electrons are more likely to hanging around fluorine.

        Since FCl is a diatomic molecule, there is only one kind of stretching possible. This is shown in Figure 9.

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Figure 7: Electrostatic Potential for FCl using 6-21G calculation
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Figure 8: Partial Atomic Charge for FCl using 6-21G calculation
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Figure 9: Bond Stretch for FCl using 6-21G calculation

 
 

         The valence energy level diagrams corresponding to the type of bonding occurring at specific levels is shown below in Table 2.

Table 2: Valence energy level diagrams corresponding to the type of bonding occurring at specific levels

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S sigma bonding
S sigma anti-bonding
Px bonding
Px anti-bonding
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Py bonding
Py anti-bonding
P sigma bonding
P sigma anti-bonding


         The following graph, Figure 10, shows the relationship between potential energy and bond length using different calculations.
 
 Figure 10: Potential energy curves at different levels of theory. The graph was generated by IGOR Pro.
 

 

 
 
Based on template by A. Herráez as modified by J. Gutow
Page skeleton and JavaScript generated by export to web function using Jmol 14.2.12_2015.01.22 2015-01-22 21:48 on Mar 9, 2015.