The electron shell model of an atom has three main components the energy shell, the subshell, and the orbital. Arrange these components from the lowest to highest maximum capacity to hold electrons. The component that can hold the greatest number of electrons should be at the top.

The solution of the Schrodinger equation of quantum mechanics results in the energy of the in electrons in an atom that has spherical symmetry and has three constants that are related.

The constants are called quantum numbers and are: The main, the secondary or orbital and magnetic.

The principal quantum number (n) can have values from 0 to infinity

The orbital quantum number (l) can have a value from 0 to n -1, it is customary to write this number with letters

number symbol

0 s

1 p

2 d

3 f

The magnetic quantum number ([tex]m_l[/tex] ) can have values from -l to l

Apart from this number there is a fourth quantum number called spin magnetic quantum number ([tex]m_s[/tex]) and it can have only two values ½ and -½,

These numbers that are allowed in quantum mechanics are called select rules. We can see that in each main number (n) there can be several orbital numbers (l) and within each orbital number there can be several magnetic numbers and within each of them there is

The order of the levels from highest to lowest number of electrons are:

Spin. Lowest

Mmagnetic

Orbital

Principal Highest

In conclusion using the selection rules of quantum mechanics we can find the result for the order of the atomic levels are:

Number higher electrons -- Lower number electrons

Principal > Orbital > Magnetic

n > l > [tex]m_l[/tex]

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