Question

ASAP PLRASE!

2. Using the (n, l, m ,me) notation, give the set of 4 quantum numbers associated with each allowed electronic energy state in: a. the n = 1 shell b. the n = 2 shell the 4d subshell

Answer 1

a)

For n=1, l can be 0

For l=0, ml can be only 0

The sets are:

(1,0,0,+1/2)

(1,0,0,-1/2)

b)

For n=2, l can be 0, 1

For l=0, ml can be only 0

For l=1, ml can be -1, 0, 1

The sets are:

(2,0,0,+1/2)

(2,0,0,-1/2)

(2,1,-1,+1/2)

(2,1,-1,-1/2)

(2,1,0,+1/2)

(2,1,0,-1/2)

(2,1,1,+1/2)

(2,1,1,-1/2)

c)

n=4 and l=2

For l=2, ml can be -2, -1, 0, 1, 2

The sets are:

(4,2,-2,+1/2)

(4,2,-2,-1/2)

(4,2,-1,+1/2)

(4,2,-1,-1/2)

(4,2,0,+1/2)

(4,2,0,-1/2)

(4,2,1,+1/2)

(4,2,1,-1/2)

(4,2,2,+1/2)

(4,2,2,-1/2)