Question

Question #d02f6

Answer 1

Here's what I got.

Explanation:

For starters, you know that the energy shell in which an electron is located inside an atom is given by the principal quantum number, `n`.

In your case, you have

`n = 4`

Now, the energy subshell in which an electron is located is given by the angular momentum quantum number, `l`.

The `d` subshell, which is the subshell that contains the `d` orbitals, is given by

`l = 2`

The orientation of an orbital located in a given subshell `l` is given by the magnetic quantum number, `m_l`.

`m_l = {-l, -(l-1), ..., -1, 0 ,+1, ..., +(l-1), +l}`

The `d` subshell contains a total of `5` orbitals, each described by a different value of the magnetic quantum number

`m_l = {-2, 1, 0, +1, + 2}`

Finally, the spin quantum number, `m_s`, tells you the spin of an electron inside an orbital.

`m_s = {+1/2, - 1/2}`

You can now write the quantum number sets that can describe an electron located in the `"4th"` energy shell, in the `4d` subshell.

I'll give you several examples to go by

• `n = 4, l= 2, m_l = -2, m_s = +1/2`
• `n = 4, l= 2, m_l = -2, m_s = -1/2`
• `n = 4, l= 2, m_l = 0, m_s = -1/2`
• `n = 4, l= 2, m_l = +1, m_s = +1/2`
• `n = 4, l= 2, m_l = +2, m_s = -1/2`