Francium is an alkali metal with a ground-state configuration of [Rn]7s. Its first ionisation potential is equal to 4.07 eV, and the wavelength of the 8p 7s transition is 428 nm. You may assume that the quantum defect does not depend on the quantum number n. (i) Find the values of 8(0) and 8(1) for francium. (ii) Calculate the wavelength of the 7p7s transition. (iii) Find the minimum value of 8(2) that would allow the 8p 6d transition to occur in emission.