Quantum numbers arise naturally from the mathematics used to describe the possib

Question

Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (ml), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. The allowable values for the principle quantum number (n) are integers greater than zero. The allowable values for the angular momentum quantum number (l) are integers from 0 to n-1. The allowable values for the magnetic quantum number (m l) are integers from -l to l. The allowable values for the spin quantum number (ms) are -1/2 and 1/2.

Explanation / Answer

(1) n = 3 , l = -1 , ml = -1, ms = -1/2    ( not allowed)

Since l has only integer from 0 to (n-1).In this we have l= -1

(2) n = 4 , l = 1 , ml = 2, ms = -1/2       ( not allowed)

Since ml value not exceeding l value

(3) n = 3 , l = 1 , ml = -1, ms = +1/2     ( allowed)

(4) n = 4 , l = 4 , ml = -1, ms = +1/2     ( not allowed)

Since the value of l is not equal to n , Its value is from 0 to (n-1)

(5) n = 2 , l = 1 , ml = -1, ms = 0         ( not allowed)

Since the value of ms is either +1/2 or -1/2

(6) n = 5 , l = 4 , ml = -2, ms = -1/2     ( allowed)

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