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 (????), the angular momentum quantum number (????), the magnetic quantum number (m????), and the spin quantum number (ms) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. Select all that apply. a) ????=6, ????=6, m????=−1, ms=−12 b) ????=4, ????=2, m????=3, ms=+12 c) ????=2, ????=1, m????=0, ms=0 d) ????=3,????=−1, m????=0, ms=−12 e) ????=5, ????=1, m????=1, ms=+12 f) ????=3, ????=0, m????=0, ms=+12

Answer 1

Ok that makes me have a seizure-

Answer 2

e) n=5, l=1, ml=1, ms=+1/2.

f) n=3, l=0, ml=0, ms=+1/2.

Explanation:

The 4 quantum numbers are:

• Principal quantum number (n): it can take integer positive values.

• Angular momentum quantum number (l): it can take integer values from 0 to n - 1.

• Magnetic quantum number (ml): it can take integer values from -l to +l.

• Spin quantum number (ms): it can take the values -1/2 or +1/2.

Identify all allowable combinations of quantum numbers for an electron. Select all that apply.

a) n=6, l=6, ml=−1, ms=−1/2. NOT ALLOWABLE. When n = 6, l cannot be 6.

b) n=4, l=2, ml=3, ms=+1/2. NOT ALLOWABLE. When l = 2, ml cannot be 3.

c) n=2, l=1, ml=0, ms=0. NOT ALLOWABLE. ms cannot be 0.

d) n=3,l=−1, ml=0, ms=−1/2. NOT ALLOWABLE. l cannot be -1.

e) n=5, l=1, ml=1, ms=+1/2. ALLOWABLE.

f) n=3, l=0, ml=0, ms=+1/2. ALLOWABLE.