Ionization Energies Calculation

Last update: 2022/09/22


Calculate the first ionization energies (IE) of atom H - Ar (atomic number: 1 - 18) with following Method/ basis set:
✓ PM3
✓ HF/6-31G*
✓ MP2/6-31G*

Definition of Ionization Energies:
A(g) → A+(g) + e - ΔE = IE1
A+(g) → A2+(g) + e - ΔE = IE2

Results

  The first ionization energies and absolute error are shown in the plot below. You can see detail data from this file (Excel): Download. Notice that parameters for PM3 method are stored in the program for "H, Li-F, Na-Cl, K, Ca, Cr, Zn-Br, Rb, Sr, Cd-I, Cs, Ba and Hg-Bi" elements. So the elements He, Ne, Ar are not availble to calculate with PM3 method.

Conclusion

1. Mean unsigned error (MUE): PM3 (29.8 kcal/mol) > HF (20.2 kcal/mol) > MP2 (10.2 kcal/mol)
2. HF and MP2 methods have negative deviation.
3. PM3 method does not give a good precision on 3A (p1) elements.
4. For the elements in same group, the IE decrease with increasing atomic number.
5. For the elements in same family, the IE tend to increase with increasing atomic number.
6. 2A (with electron configuration s2) and 5A (with electron configuration p3) elements have higher IE values comparing with the elements nearby.


Additional information


Molecular modelling: Ru3(dpa)4Cl2 molecule



[Ref]

Results
Spartan Import .xyz to WebMO
Import .pdb to GaussView Import .pdb to Jmol

Quick way to calculate ionization energies


Do not use this method unless you are good with figures. (對數字敏感)

                  
      #!/bin/bash
      #
      #
      mkdir MP2_atom
      cd MP2_atom
      
      g16_file=$(cat ../atom.dat)
      
      for file in ${g16_file}
      do
              touch ${file}"_MP2.com"
          wait
              echo $'%nprocshared=2\n%mem=2GB\n# MP2/6-31G*\n\ntitle\n' >> ${file}"_MP2.com"
          wait
      done
      
      wait
      
      for file in ${g16_file}
      do
          if [[ ${file} == *'He'* ]] || [[ ${file} == *'Be'* ]] || [[ ${file} == *'Ne'* ]] || [[ ${file} == *'Mg'* ]] || [[ ${file} == *'Ar'* ]]; then
              echo '0 1' >> ${file}"_MP2.com"
              wait
              echo ${file} $'\n\n' >> ${file}"_MP2.com"
              wait
          elif [[ ${file} == *'H'* ]] || [[ ${file} == *'Li'* ]] || [[ ${file} == *'B'* ]] || [[ ${file} == *'F'* ]] || [[ ${file} == *'Na'* ]] || [[ ${file} == *'Al'* ]] || [[ ${file} == *'Cl'* ]]; then
              echo '0 2' >> ${file}"_MP2.com"
              wait
              echo ${file} $'\n\n' >> ${file}"_MP2.com"
              wait
          elif [[ ${file} == *'C'* ]] || [[ ${file} == *'O'* ]] || [[ ${file} == *'Si'* ]] || [[ ${file} == *'S'* ]]; then
              echo '0 3' >> ${file}"_MP2.com"
              wait
              echo ${file} $'\n\n' >> ${file}"_MP2.com"
              wait
          elif [[ ${file} == *'N'* ]] || [[ ${file} == *'P'* ]]; then
              echo '0 4' >> ${file}"_MP2.com"
              wait
              echo ${file} $'\n\n' >> ${file}"_MP2.com"
              wait
          fi
          wait
      done
      
      for file in ${g16_file}
      do
          g16 ${file}"_MP2.com" &
          wait
      done
      
      echo "DONE"
      wait
      #
            
               

Reference


Semi-Empirical Methods
Window Keyword and Frozen Core Options
NIST Atomic Spectra Database Ionization Energies Form
Oxidation of Linear Trinuclear Ruthenium Complexes [Ru3(dpa)4Cl2] and [Ru3(dpa)4(CN)2]: Synthesis, Structures, Electrochemical and Magnetic Properties