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Rules for filling of electrons in various orbitals

         The atom is built up by filling the electrons in several orbitals according to the rules stated as follows, 


         (1) Aufbau's principle

         The principle states that electrons are added one by one to the various orbitals in the order of their increasing energy beginning with the orbital of lowest energy. The increasing order of the energy of various orbitals is

     170_afbau principle.png

         (2) (n+l) Rule

         In the neutral isolated atom, lower the value of (n + l) for the orbital, lower is its energy. Though, if the two different types of the orbitals have the same value of (n + l), the orbitals with the lower value of n has lower energy.

         (3) Pauli's exclusion principle

         In accordance to this principle "no two electrons in the atom will have same value of all four quantum numbers".

         If one of the electron in an atom has the quantum numbers n=1, l=0, m=0 and s=+1/2, then no other electron can have the same four quantum numbers. Or we can say that, we cannot place two electrons with same value of s in a 1s orbital.

 

         The orbital diagram   1809_Pauli exclusion principle.png         does not represent the possible arrangement of the electrons. Because there are two possible values only of s an orbital can hold not more than the two electrons.


         (4) The Hund's Rule of the maximum multiplicity

         This rule deals with filling of the electrons in an orbitals having equal energy (degenerate orbitals). This rule states that the,

         "The Electron pairing in the  p, d and f orbitals cannot occur until each of the orbitals of a given subshell contains one electron in each or is singly occupied".



This is because of the fact that the electrons being identical in charge, repel each other when are present in the same orbital. The repulsion can however be minimized if the two electrons move as far as possible by occupying the different degenerate orbitals. All the unpaired electrons in the degenerate set of orbitals will have the same spin.

         As we now know that the Hund's rule, allows us see how the three electrons are arranged in the  p orbitals.

         An important point to be kept in mind is that all singly occupied orbitals should have electrons with the parallel spins that is in the same direction either-clockwise or anticlockwise.

       1292_hunds rule.png  

 

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