Question

Which of the following are permissable sets of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state). Choose all of the correct possibilities. n = 4, l = 3, ml = -3, ms = +1/2 n = 4, l = 2, ml = -2, ms = -1/2 n = 2, l = 1, ml = 0, ms = +1/2 n = 4, l = -2, ml = +2, ms = -1/2 n = 3, l = 1, ml = -1, ms = +1/2 n = 1, l = 2, ml = +1, ms = +1/2 n = 5, l = 2, ml = 0, ms = +1/2 n = 3, l = 2, ml = +2, ms = +1 n = 4, l = 1, ml = +1, ms = +1/2 n = 6, l = 5, ml = +6, ms = -1/2

Answer 1

n = 4, l = 3, ml = -3, ms = +1/2 ---------------- 4f possible

n = 4, l = 2, ml = -2, ms = -1/2   ------------------- 4d is possible

n = 2, l = 1, ml = 0, ms = +1/2 -----------------2p is possible

n = 4, l = -2, ml = +2, ms = -1/2---------------not possible because l =0,,2,3----

l=-2does not exit

n = 3, l = 1, ml = -1, ms = +1/2 ------------------3p is possible

n = 1, l = 2, ml = +1, ms = +1/2 ------------------1d is not posssible because

n=1 then l= 0 only

n = 5, l = 2, ml = 0, ms = +1/2 ------------ 5d is possible

n = 3, l = 2, ml = +2, ms = +1 ------ not possible because ms = + 1/2 or -1/2 .ms = +1 does not exist

n = 4, l = 1, ml = +1, ms = +1/2 ----4p is possible

n = 6, l = 5, ml = +6, ms = -1/2------------ 6g   with ml = +6 is not possible