Question

Choose all possible values of each quantum number for the electron gained with an f− ion forms from an f atom. n 1 2 3 4 5 6 7 8 l 0 1 2 3 4 5 ml −5 −4 −3 −2 −1 0 1 2 3 4 5 ms −1 −1/2 0 1/2 1

Answer 1

To determine the possible values of each quantum number when an f-atom gains an electron to become an f-ion, we consider the quantum numbers n, l, ml, and ms. An f-electron has n > 2, l = 3, ml values range from -3 to 3, and ms can be either -1/2 or +1/2.

Step-by-step explanation:

The question pertains to the quantum numbers associated with electrons in an atom, specifically when an f‑atom gains an electron to become an f‑ion. Quantum numbers describe the state of an electron with a set of values (n, l, ml, ms). The principal quantum number (n) defines the energy level and ranges from 1, 2, 3, etc. The azimuthal or angular momentum quantum number (l) can range from 0 to n‑1, indicating the shape of the orbital. For each value of l, the magnetic quantum number (ml) ranges from ‑l to +l, which describes the orientation of the orbital, and each value of ml can have two electron spins as the spin projection quantum number (ms) is always ±1/2.

For an f‑electron, which has the quantum numbers n > 2 and l = 3, the possible values are ml = ‑3, ‑2, ‑1, 0, 1, 2, 3, each of which can have a spin ms of either ‑1/2 or +1/2. Thus, for the formation of an f‑ion from an f‑atom, the gained electron will have these range of quantum numbers to occupy one of the available f‑orbitals complying with the Pauli exclusion principle.