The quantum numbers ( n = 3 ), ( l = 0 ), ( m_l = 0 ), and ( m_s = -\frac{1}{2} ) correspond to an electron in a 3s orbital. The principal quantum number ( n = 3 ) indicates the third energy level, while ( l = 0 ) signifies an s orbital (spherical shape). The magnetic quantum number ( m_l = 0 ) confirms that it is in the only available orientation for an s orbital. Finally, the spin quantum number ( m_s = -\frac{1}{2} ) indicates that this electron has a downward spin.