Question

How many atomic orbitals are there in an h subshell?

Answer 1

Hint: To answer this question we have to be aware of quantum numbers. There are four types of quantum numbers, we have understood each of them which gives us the lead to answer this question.

Complete step by step answer:
The position and energy of an electron in an atom is described with the help of a certain set of numbers called quantum numbers.

(l)	Subshell
0	s
1	p
2	d
3	f
4	g
5	h

There are four types of quantum numbers called principal quantum number (n), azimuthal quantum number (l). Magnetic quantum number (${{m}_{l}}$) and spin quantum number (s).
To answer this we need to know about azimuthal quantum number which refers to the subshell to which an electron belongs. The value of azimuthal quantum number that is l which specifies the subshell as follows:
 From the above table we can see that l = 5 for h subshell.
 The formula to calculate the number of orbital in each subshell:
Number of orbitals in each subshell = 2l + 1
 So, Number of orbitals in h subshell = 2$\times $5 + 1
= 10 + 1
= 11
So there are 11 atomic orbitals in the h subshell.

Note: The value of l depends on the value of n
If n = 3, then l = 0,1,2. We can represent it as 3s, 3p, 3d.
-If we want to know the number of electrons in h subshell.
The formula to calculate is 2 (2l + 1)
So, l = 5 for h subshell
= 2( 2l + 1)
= 2(2 $\times $ 5 + 1)
= 2 (11)
= 22
In h subshell the number of electrons is 22.