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

In summary, the conversation is about calculating the average orbital kinetic energy for the element Si, using a method similar to the one presented for Al in a given table. The data for Al is from a reference by Y.-K. Kim and P.M. Stone, who obtained U and B for each orbital from Dirac-Fock wave functions. Further reference is made to J. P. Desclaux's work on computational chemistry, and it is mentioned that the calculations for Al and Si may be complicated and may require experimental approaches. It is suggested that for the innermost orbitals, a reasonable approximation may be made by scaling, but for outermost orbitals, this may not be effective.
  • #1
Ado
26
4
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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  • #2
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.
 
  • #3
In general, those calculations are quite complex, and often experimental approaches are also relevant or even necessary.
 
  • #4
Would the complications be lessened given that Al and Si are next to each other in the periodic table?
 
  • #5
For the innermost orbitals you might get some reasonable approximation by just scaling them. For the outermost orbitals I wouldn't do that.
 
  • #6
@DrClaude : Damned! I had only seen the table of data and I had not seen the references ...!

Thanks all for your answers !
 

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

1. What is mean orbital kinetic energy?

Mean orbital kinetic energy refers to the average amount of kinetic energy possessed by an object in orbit around another object. It is a measure of the object's speed and mass in relation to its orbit.

2. How is mean orbital kinetic energy calculated?

Mean orbital kinetic energy can be calculated using the formula E = (1/2)mv^2, where E is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object in orbit.

3. What factors affect the mean orbital kinetic energy?

The mean orbital kinetic energy is affected by the mass and speed of the object in orbit. A larger mass or higher speed will result in a higher kinetic energy, while a smaller mass or slower speed will result in a lower kinetic energy.

4. Why is mean orbital kinetic energy important in space exploration?

Mean orbital kinetic energy is important in space exploration because it determines the amount of energy needed to launch a spacecraft into orbit and maintain its trajectory. It also plays a role in the design and operation of satellites and other objects in orbit.

5. How does mean orbital kinetic energy relate to potential energy?

Mean orbital kinetic energy is closely related to potential energy in the sense that they both contribute to the total energy of an object in orbit. As an object moves further away from the object it is orbiting, its potential energy increases while its kinetic energy decreases, and vice versa.

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