If an electron resides in a theoretical subshell characterized by an azimuthal quantum number $l = 4

Question

If an electron resides in a theoretical subshell characterized by an azimuthal quantum number $l = 4$ (a 'g' subshell), the total number of permissible discrete values for its magnetic quantum number $m_l$ would uniquely be

Professor PC Thomas Classes · Answer

(c) : For any given azimuthal quantum number $l$, the magnetic quantum number $m_l$ can adopt all integer values ranging from $-l$ to $+l$, including zero. The total mathematical number of these values is rigidly given by the formula $2l + 1$. For a 'g' subshell where $l = 4$, the number of permissible $m_l$ values is $2(4) + 1 = 9$.