write a relation to get no of orbitals by using subshell 1
Answers
Answer:
Subject matter in this questions
Answer:
That depends on the subshell.
Explanation:
Electrons that surround an atom's nucleus are distributed on specific energy levels, or shells.
Each shell is made up of a different number of subshells. More specifically, the number of subshells a shell can have increases as you move away from the nucleus.
You can use quantum numbers to illustrate this point.
The principal quantum number, n , gives you the energy level, or shell.
Now, the number of subshells is given by the angular momentum quantum number,
l , which can take values from 0 to n − 1 .
This means that you will have
1. n = 1 ⇒ l = 0 → the first shell only has one subshell, s
2. n = 2 ⇒ l = 0 , 1 → the second shell has two subshells: s and p
3. n = 3 ⇒ 1 = 0 , 1 , 2 → the third shell has three subshells, sp, p, and d
⋮
and so on.
The number of orbitals each subshell contains is given by the magnetic quantum number, ml, which takes values from − l to l .
So, for example, how many orbitals would you say the 2p-subshell has?
Well, the 2p-subshell has l = 1, which means that ml can be
ml = { −1 , 0, 1 } → the 2p-subshell contains 3 orbitals.
How about the 3d-subshell?
For the 3d-subshell, you know that
l= 2 . This means that m l can be
m l = { −2 , − 1 , 0 , 1 , 2 } → the 3d-subshell contains 5 orbitals.
So, as a conclusion, you get th number of orbitals per subshell from the principal quantum number, n , which in turn gives you the value of the angular momentum quantum number, l .
The magnetic quantum number, the ones that tells you exactly how many orbitals you get per subshell, will always take values from − l to l , so if you know l , you automatically know ml .
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