Question

Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom? Check all that apply.

3, 2, 2, -1/2

-3, 2, 2, -1/2

5, 3, 4, 1/2

5, 2, 1, -1/2

2, 2, 2, 1/2

4, 2, 1, -1/2

3, 2, 0, -2

3, 2, -3, 1/2

Answer 1

Answer:

Four quantum numbers are

n= 1,2,3,4……..n

I = 0 to n – 1(all possible values up to n-1)

ml = all values from -l to +l ( Example if l = 3 them ml = -3,-2, -1, 0, +1, +2 ,+3)

ms = only +1/2 and -1/2

3, 2, 2,-1/2 --------- Possible configuration

-3, 2, 2, -1/2-------- Not possible configuration because n cannot be negative

5, 3, 4, 1/2 -------- Not possible because ml must be from -3 to +3 by conditions

5, 2, 1, 1/2 -------- Possible configuration

2, 2, 2, 1/2 --------- This is not possible. l cannot equal n

4, 2, 1, -1/2-------- This is a possible configuration.

3, 2, 0, - 2 --------- This is not possible because ms can equal only +1/2 and -1/2

3, 2, -3, ½ --------- Not possible because ml must be from -2 to +2 by conditions