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The Question will be broken down into small pieces for those who don't have a strong chemistry background.

Definitions:Valence electron: is the number of electrons on the outer shell of an element.

Electron Configuration: is the arrangement of electrons in an atom, molecule, or other physical structure.

To Determine the Number of Valence Electrons: we look at the Periodic Table(see Periodic Table) to get a general idea. Elements that contain:

1 valence electron falls under Group 1

2 valence electrons falls under Group 2

3 valence electrons falls under Group 13

4 valence electrons falls under Group 14

5 valence electrons falls under Group 15

6 valence electrons falls under Group 16

7 valence electrons falls under Group 17

8 valence electrons falls under Group 18

Note: Elements from Group 3-12 fall under a special category

To Determine Electron configuration: We go back to the Periodic table but instead look at the Electron configuration(see Electron Configuration) We noticed that each element falls under a "block". The blocks consists of either a: S block, P block, D block, and F block. This is used to help determine the electron notation of a particular element. An example of a notation for He(Helium) is as follows:

1S2

Where....

The coefficient( the number before the letter): is the sub-block of the four main "spdf" blocks. Each sub-block is considered a different "shell"

The "spdf" block(the letter): is which of the four main "blocks" of the Periodic table

The Subscript(the number below the letter): is the place within the "shell".

The order of which we write the configuration depends on where that block appears in the periodic table. We follow the Atomic number starting from 1 and working your way up till the element you wanted the notation for. Once a shells (the Subscript) is filled(S's fill with 2, P's is 6, D's are 10, and F's with 14) then you shift to the next shell.

Example: Beryllium (Be)

1S2 2S1

When you go to another shell you still add the previous shells and continue to the next one. The order of which the shells fill up is as follows: 1S, 2S, 2P, 3S, 3P, 4S, 3D, 4P, 5S, 4D, 5P, 6S, 5D1, 4F, 5D2-10, 6P, 7S, 6D1, 5F, 6D2-10.

Now that the order is established now we can determine the relationship between the two.

As the valence electrons fills the outer shell, it also fills the subsequent shells in the electron configuration. Each Valence electron helps to fill up the Electron configuration shells and the valence electrons helps to determine which shell to fill up. There's a more scientific term that i don't know about but if anyone can add on to this that would be great since I'm just starting in Chemisrty.

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