### Problem 2.21

Posted:

**Tue Oct 24, 2017 12:53 am**Can someone please explain why part a's solution only has one answer for l, (l=1), when n=6 and can have multiple answers, from 0 to 5?

Created by Dr. Laurence Lavelle

https://lavelle.chem.ucla.edu/forum/

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=21&t=22600

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Posted: **Tue Oct 24, 2017 12:53 am**

Can someone please explain why part a's solution only has one answer for l, (l=1), when n=6 and can have multiple answers, from 0 to 5?

Posted: **Tue Oct 24, 2017 9:59 am**

The principal quantum number is n, and in 6p n=6. The angular momentum is l. This is equal to one because each value of l corresponds to a particular subshell. It is true that when n = 6 you have 6 possibilities for n, which are 0, 1, 2, 3, 4, and 5. However, you are told the subshell in this problem, so you should know the exact value of l. If the subshell is s, l = 0. If the subshell is p, l = 1. If the subshell is d, l = 2. And if the subshell is f, l = 3.

0 1 2 3

s p d f

In this case, the subshell is p, so l = 1.

0 1 2 3

s p d f

In this case, the subshell is p, so l = 1.