Why are Noble Gas symbols often included in the electronic configuration of certain elements?

Md Ariful Islam

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Md Ariful Islam

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For the full electronic configuration of calcium, $Z=20$, I could write out........

$1s^(2)2s^(2)2p^(6)3s^(2)3p^(6)4s^(2)$.....

But of course this a portmanteau of the LAST Noble gas, $"argon,"$ $Z=18$, whose electronic configuration is the closed-shell....

$1s^(2)2s^(2)2p^(6)3s^(2)3p^(6)$.....PLUS 2 extra that fill the $4s$ shell. The use of $[Ar]$ to represent this closed-shell, inner core of electrons is perfectly acceptable, and widespread.....

And so...

$underbrace(1s^(2)2s^(2)2p^(6)3s^(2)3p^(6))_"electronic configuration of argon"4s^(2)$.....$-=$ $[Ar]4s^2$

How would I represent the electronic configuration of $Na?$

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