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Many Electron Atoms - part 1

          Pauli Principle; Self-consistent field

Pauli principle again; Number of oritals for      n-th shell
Building-up Atoms
      xcf_0010_Pauli_Number_orbitals_Ionization_Energies.png

       xcf_0010_Pauli_Number_orbitals_Ionization_Energies.png

Building-up Atoms       1s  2s  2p  3s       3p     3d      4s    4p     4d    4f     5s

      Aufbau__building-up.png

       Aufbau__building-up.png

Closed shells do not follow the    n2   rule            1s  2s  2p  3s       3p     3d      4s    4p     4d    4f     5s


         Configuration_orbitals.png

       Configuration_orbitals.png

Interaction with a charged cloud

      xcf_0015_electro-potential-point-cloud.png

       xcf_0015_electro-potential-point-cloud.png


      xcf_0020_orbitals_in_cloud.png

       xcf_0020_orbitals_in_cloud.png


      xcf_0025_ORBITALS.png

       xcf_0025_ORBITALS.png


      xcf_0029_ITERATIONS.png

       xcf_0029_ITERATIONS.png


      xcf_0030_self-Consistent_field.png

       xcf_0030_self-Consistent_field.png

ONCE MORE:
Closed shells do not follow the    n2   rule            1s  2s  2p  3s       3p     3d      4s    4p     4d    4f     5s
         Configuration_orbitals.png

       Configuration_orbitals.png



Explanation of the   3d  -  4s  anomaly (deviation from the   
n2   rule )
       - Interplay  of screening    and    centrifugal potential


Here we compare a model for the screen potential (below)  with the Coulomb    n2   rule degenerate  (hydrogen-like) - UPPER PART

      coulomb_vs_Hartree.png

       coulomb_vs_Hartree.png


Results from the computer program
../2013_10_10/#computing

but mainly ../2010.10.14/
and the links there

      xcf_0040_Program_to_do_Self_consistent_field.png

       xcf_0040_Program_to_do_Self_consistent_field.png

Results from the computer program

../2013_10_10/#computing

but mainly ../2010.10.14/
and the links there


to index              2014_09_18 Previous Lecture Note             LECTURE NOTE   2014_09_23           2014.09.25 next lecture note