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According to the quantum mechanical model of hydrogen atom, if the orbital quantum number = 5, how many possible states will be permitted

2007-12-15 08:08:14 · 2 answers · asked by mastersource2005 5 in Science & Mathematics Physics

2 answers

n = 5

So there are l = n-1 angular momentum levels = 4

For each l, there is an ml =-l,-l+1,...,0,1,...l = l+1

In each ml level, there are 2 electron spin states, So.

l = 0: ml =0 ---> 2 states

l =1 , ml =-1,0, 1 ---> 2 x 3 states = 6 states

l = 2 , ml = -2, -1, 0, 1, 2 ---> 2 x 5 = 10 states

l = 3, there are 7 ml states hanec a total of 14 electron states

l = 4: 9 ml states ---> 18 total

Total number = 2 + 6 + 10 + 14 = 32 states

2007-12-15 08:16:31 · answer #1 · answered by nyphdinmd 7 · 0 0

There are four quantum numbers. Which are you referring to?

2007-12-15 16:15:19 · answer #2 · answered by misterguch 3 · 0 1

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