# The number of orbitals in a given subshell, such as the 5d subshell, is determined by the number of possible values of ? A) l. B) n. C)ml. D) ms.

Apr 16, 2015

The answer is C) ${m}_{l}$.

The number of orbitals for a given subshell is determined by the magnetic quantum number, or ${m}_{l}$.

The principal quantum number, or $n$, describes the energy level in which the orbital is located. In your case, the orbital is located in the fifth energy level, $n = 5$.

The angular momentum quantum number, or $l$, describes the subshell, or orbital type. In your case, a d-orbital is described by $l = 2$.

Finally, ${m}_{l}$ describes the total number of orbitals available for that respective sublevel. In your case, you have 5 d-orbitals, each with its own magnetic quantum number

${m}_{l} = - 2$
${m}_{l} = - 1$
${m}_{l} = 0$
${m}_{l} = + 1$
${m}_{l} = + 2$