The principal quantum number, n, describes the energy level of a particular orbi

Question

The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. 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 allowable combinations of quantum numbers for an electron. Select all that apply.

n = 2, = 1, m= 0, ms= 1

n = 3, = 2, m= –2, ms= –1/2

n = 3, = –2, m= –2, ms= 1/2

n = 6, = 6, m= –1, ms= –1/2

n = 5, = 3, m= 0, ms= –1/2

n = 4, = 3, m= 4, ms= –1/2

Explanation / Answer

For any given 'n' value, 'l' has values from 0 to (n-1).

For any given 'l' value, ml has values from -l to +l including zero.

ms has two values based on spin orientation of electron. i.e +1/2 or -1/2.

Therefore allowed set of quantum numbers among the given are,

n = 3, = 2, m= –2, ms= –1/2

n = 5, = 3, m= 0, ms= –1/2

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