(a) Show all the distinct states for an electron in the N shell of hydrogen. Include all four quantum numbers.
(b) For an f-electron in the N shell, what is the largest possible orbital angular momentum and the greatest positive value for the component of this angular momentum along any chosen direction (the z-axis)? What is the magnitude of its spin angular momentum? Express these quantities in units of h.
(c) For an electron in the d state of the N shell, what are the maximum and minimum angles between its angular momentum vector and any chosen direction (the z-axis)?
(d) What is the largest value of the orbits angular momentum for an {-electron in the M shell?