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Question

Question: How many orbitals in total are associated with 4<sup>th</sup> energy level?...

How many orbitals in total are associated with 4th energy level?

A

4

B

9

C

16

D

7

Answer

16

Explanation

Solution

: n=4,l=0,1,2,3n = 4,l = 0,1,2,3

ml=0,s1,0,+1,p2,1,0,+1,+2d3,2,1,0,+1,+2,+3fm_{l} = \underset{s}{\overset{0,}{︸}}\underset{p}{\overset{- 1,0, + 1,}{︸}}\underset{d}{\overset{- 2, - 1,0, + 1, + 2}{︸}}\underset{f}{\overset{- 3, - 2, - 1,0, + 1, + 2, + 3}{︸}}

Total number of orbitals, 1s + 3p + 5d + 7f = 16