How Do You Calculate the Average Orbital Kinetic Energy for Silicon?

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Discussion Overview

The discussion revolves around calculating the average orbital kinetic energy for the silicon (Si) element, drawing comparisons to existing data for aluminum (Al). Participants explore methods and references related to these calculations, considering both theoretical and experimental aspects.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks a method to calculate the average orbital kinetic energy for silicon, referencing a specific table for aluminum.
  • Another participant provides a citation for the aluminum data, indicating it is derived from Dirac-Fock wave functions and suggests looking up the referenced material for further details.
  • It is noted that calculations of this nature can be complex and may require experimental approaches.
  • A question is raised about whether the proximity of aluminum and silicon in the periodic table could simplify the calculations.
  • A suggestion is made that scaling might provide reasonable approximations for innermost orbitals, but caution is advised for outermost orbitals.
  • A participant expresses realization about the importance of references after initially overlooking them.

Areas of Agreement / Disagreement

Participants express varying levels of complexity regarding the calculations, with some suggesting potential simplifications while others caution against assumptions. No consensus is reached on a specific method for silicon.

Contextual Notes

The discussion highlights the reliance on specific references and the potential need for experimental validation, indicating that assumptions about scaling may not universally apply.

Ado
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Hi!

I search the way to calculate the average orbital kinetic energy like is given in :http://physics.nist.gov/cgi-bin/Ionization/bun.php?Id=AlI (here is for aluminum).

I would like use the underlying method to calculate the average orbital kinetic energy for the silicon (Si) element.

If you know how to proceed ... thanks in advance!
 
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The data for Al presented in that table is from Y.-K. Kim and P.M. Stone, Phys. Rev. A 64, 052707 (2001). Looking at that reference, they mention
We have obtained U and B for each orbital from Dirac-Fock wave functions [25].
with Ref. [25] being J. P. Desclaux, in Methods and Techniques in Computational Chemistry: METECC-94, Vol. A: Small Systems, edited by E. Clementi STEF, Cagliari, 1993, Chap. 5.

You'll have to look up that reference.
 
In general, those calculations are quite complex, and often experimental approaches are also relevant or even necessary.
 
Would the complications be lessened given that Al and Si are next to each other in the periodic table?
 
For the innermost orbitals you might get some reasonable approximation by just scaling them. For the outermost orbitals I wouldn't do that.
 
@DrClaude : Damned! I had only seen the table of data and I had not seen the references ...!

Thanks all for your answers !
 

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