## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

(a) We can list the possible $3p$ states as $n, l, m$: $n = 3, l = 1, m = -1$ $n = 3, l = 1, m = 0$ $n = 3, l = 1, m = 1$ (b) We can list the possible $3d$ states as $n, l, m$: $n = 3, l = 2, m = -2$ $n = 3, l = 2, m = -1$ $n = 3, l = 2, m = 0$ $n = 3, l = 2, m = 1$ $n = 3, l = 2, m = 2$
(a) In the $3p$ state: $n = 3$ and $l = 1$ $m = -1, 0 , 1$ We can list the possible $3p$ states as $n, l, m$: $n = 3, l = 1, m = -1$ $n = 3, l = 1, m = 0$ $n = 3, l = 1, m = 1$ (b) In the $3d$ state: $n = 3$ and $l = 2$ $m = -2, -1, 0 , 1, 2$ We can list the possible $3d$ states as $n, l, m$: $n = 3, l = 2, m = -2$ $n = 3, l = 2, m = -1$ $n = 3, l = 2, m = 0$ $n = 3, l = 2, m = 1$ $n = 3, l = 2, m = 2$