What if electrons were spin-3/2 instead of spin-1/2. What would be Z for the first noble gas in this situation, and how do you know?

Let us consider the Zeeman Effect acting on a hydrogen spectra. For an unaffected transition from orbital 4 to orbital 2, calculate the wavelength of the light emitted. (7 significant figures) If exposed to a magnetic field of great strength, the Zeeman Effect occurs. For an electron in hydrogen undergoing a transition from the 4 I to the 2 s orbital, the spectral line splits, creating a change in wavelength for the mi = 1 and -1 states of approximately +0.0055nm. Based on this fine splitting, calculate the change in energy between the mi = 1 and the mi = 0 %3D state. We know that the potential energy of a magnetic moment in a magnetic field is expressed: U = -µB and that the Bohr magneton (µ) has a value of e*h/(2me). Given this value for the %D magnetic moment, determine the strength of magnetic field the hydrogen sample has been exposed to. (Hint: it is not greater than 1 Tesla)

In the PIB model what imposes quantization? Explain.   (hint – consider the boundary conditions.)

Use all four quantum numbers (?, ?, ?? , ?? ) to write down all possible sets of quantum numbers for 4? state of atomic hydrogen. What is the total degeneracy?