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.

Answer 1

Answer:

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 (ml) are integers from -l to l.

The allowable values for the spin quantum number (ms) are -1/2 and 1/2.

Explanation:

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. TRUE. The principal quantum number (n) represents the level of energy in which an electron is and can take positive integer values.

• The allowable values for the angular momentum quantum number (l) are integers from 0 to n-1. TRUE. The angular quantum number (l) represents the sublevel of energy and the kind of orbital an electron is in and can take integer values from 0 to n-1. For instance, if n = 1, l can take the value "0", which represents the sublevel and orbital "s".

• The allowable values for the magnetic quantum number (ml) are integers from -l to l. TRUE. The magnetic quantum number (ml) represents the orientation of an orbital in space and can take integers values from -l to +l. For instance, if l = 1 (p orbital), ml can take the values -1, 0 and 1, which refer to orbitals px, py and pz.

• The allowable values for the spin quantum number (ms) are -1/2 and 1/2. TRUE. The spin quantum number (ms) represents the spin of the electron and can take values -1/2 and +1/2.