- #1

njdevils45

Moved from a technical forum, so homework template missing

**Question**

(a) Write down the quantum numbers for the states described in spectroscopic notation as

^{2}S

_{3/2},

^{3}D

_{2}and

^{5}P

_{3}.

(b) Determine if any of these states are impossible, and if so, explain why. (Please note that these could describe states with more than one electron.)

**My Attempt**

A)

A)

I came up with the quantum numbers for everything that I'm pretty sure is correct. Was hoping I could get a double check on this.

^{2}S

_{3/2}l = 0, s = 1/2, j = 3/2

^{3}D

_{2}l = 2, s = 1, j = 2

^{5}P

_{3}l = 1, s = 2, j = 3

**B)**

I'm almost 100% confident that

^{2}S

_{3/2}is impossible because when l = 0, j must = 1/2.

I'm not sure about the other two because I don't know all the rules for what s can be compared to l and j.

Any help would be greatly appreciated. Thank you!