How to calculate nuclear charge effective using Slater's rule?

Question

Answer by giving an example

Answer 1

The effective nuclear charge, also known as the kernel charge, is the net positive charge experienced by an electron in a multielectron atom. The term "effective" is used because the shielding effect of negative electrons prevents higher orbital electrons from experiencing the full nuclear charge.

In an atom with one electron, that electron experiences the full charge of the positive nucleus. In this case, the effective nuclear charge can be calculated from Coulomb's law.

However, in an atom with many electrons, the outer electrons are simultaneously attracted to the positive nucleus and repelled by the negatively charged electrons. The effective nuclear charge on such an electron is given by the following equation:

Zeff = Z − S
where
Z is the number of protons in the nucleus and S is the average number of electrons between the nucleus and the electron in question, and
S can be found by the systematic application of various rule sets, the simplest of which is known as "Slater's rules" (after the scientist John C. Slater).
Note: Zeff is also often known as "Z* ".

A simple way to calculate the effective nuclear charge is to take the total protons minus all electrons excluding the valence electrons

Have a blessed day.
Doodad

Answer 2

you can't