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Chlorine Monoxide Anion
The bond length of chlorine monoxide anionwas was find using different
energy levels. The length between chlorine and oxygen were found using
AM1 energy level.
The length between chlorine and oxygen were found using PM3 energy level as well.
The next length was found using energy level 6-21G.
The next length was found using energy level 6-31G, which is a higher level of theory than 6-21G.
The final energy used to find bond length between the chlorine and
oxygen ion was DZV, this was the highest level of theory used to detect
bond length.
The Highest Occupied Molecular Orbital (HOMO) are the 12th and 13th
orbitals as determined by adding all the electrons up and dividing them
by two as there are two electrons for each orbital.
The 12th and 13th molecular orbitals are both p-orbitals and for this
reason appear similar, the difference being the axes they rest on.
The Lowest Unoccupied Molecular Orbital (LUMO) is the orbital just one
above the Highest Occupied Molecular Orbital, for chlorine monoxide anion that
orbital is 14.
The electrostatic potential of the molecule shows where the highest and
lowest potentials are in the orbitals. The blue color shows where
the electrostatic potential is the highest while the red shows where it
is the lowest.
The partial atomic charges of each atom are calculated via the
distribution of the electrons in the chemical bond between chlorine and
oxygen.
The orbitals and their labels are expressed in Table 1 starting from the s orbitals all the way to the HOMO.
Table1: Pictures of each orbital with its corresponding label, including bonding/antibonding and sigma/pi properties.
Bonding
Orbital
S-Sigma Antibonding
S-Sigma Antibonding
S-Sigma Antibonding
P-Sigma Antibonding
P-Pi Bonding
P-Pi Bonding
S-Sigma Bonding
S-Sigma Antibonding
P-Pi Bonding
P-Pi Bonding
P-Sigma Bonding
P-Pi Antibonding
P-Pi Antibonding
Figure 1 shows the different potential
energies of bond stretching at the three higher levels of theory,
6-21G, 6-31G, and DZV. As the level of theory increases, the
measure of lowest potential energy gets lower and lower as the
calculations get closer to the true value. Despite the graph being
fairly straight, it is not perfect. The slight rise in the line
after the initial dip is due to the unaccounted for electrons in each
theory's calculations. Ideally the line would be straight after
the dip but such is not the case.
Figure 1: Depicts the potential energy in Hartrees of each higher level of theory. This graph was made in IgorPro.
The dipole moment was found by taking the
optimized geometry log file in MacMolPlt of the energy level
DZV, 6-31G, and 6-21G (table 2,3, and 4).
Table 2: Energy Level DZV on ClO- optimized geometry,
different diffuse functions were done on the molecule to improve
dipole moment.For this energy level the F orbital could not
exceed a value greater than 1.
Function
Dipole Moment (Debye)
111
2.69
112
2.69
113
2.69
211
2.49
212
2.49
213
2.49
311
2.35
312
2.35
313
2.35
. Table 3: Energy Level 6-31G on ClO- optimized geometry,
different diffuse functions were done on the molecule to find
the best dipole moment.For this level of energy the F orbital
could not exceed 1.
Function
Dipole Moment (Debye)
111
2.26
112
2.26
113
2.26
211
2.07
212
2.07
213
2.07
311
2.12
312
2.12
313
2.12
The literature value for the dipole moment on ClO- had no
experimental value. But, the calculated value was found to be
1.16 for the energy level of 6-31G, from NIST.
Table 4: Energy Level 6-21G on ClO- optimized geometry,
different diffuse functions were done on the molecule to find
the best dipole moment. For this level of energy the F orbital
could not exceed 0.
Function
Dipole Moment (Debye)
101
0.90
102
0.90
103
0.90
201
1.06
202
1.06
203
1.06
301
1.04
302
1.04
303
1.04
The dipole moment changed based off the
s-orbital that was changing. For all the functions with 1 for
the s position, the dipole moments were the same and changed as
it was moved to 2 and 3. The dipole moment also changed with the
energy level. NIST3 had no experimental value for the dipole
moment. The calculated value of ClO- on NIST for the 6-31G level
was 1.16 According to this, the the diffuse function portraying
the closest value would be the 211, 212, and 213.
The calculated vibrational frequency of ClO-
was found to me 289.15 cm-1. From the NIST website the
vibrational frequency for energy level 6-31G was 470 cm-1.3
Based on template by A. Herráez as modified by J. Gutow