What is the maximum number of electrons in an atom that can have the principal quantum number n = 4 and the magnetic quantum number m_l = +1 ?

Step-by-step solution

For a given principal quantum number n=4 , the possible values for the azimuthal quantum number l are 0, 1, 2 , and 3 . The magnetic quantum number m_l can have values from -l to +l . For an orbital to have m_l = +1 , the value of l must be at least 1 . Thus, the subshells in the n=4 shell that contain an orbital with m_l = +1 are: l = 1 ( 4p subshell): contains one orbital with m_l = +1 l = 2 ( 4d subshell): contains one orbital with m_l = +1 l = 3 ( 4f subshell): contains one orbital with m_l = +1 There are a tot