00:01
So let in part a, if n is 3 and l is 1 and the corresponding sub -shell is 3p, right? and if the electrons are in the 3p sub -shell, right? so the possible sets up quantum numbers are literated here.
00:25
This is n this is l this is m sub e and m sub is this is spin quantum number or spin right now this will be uh three and l is one so this will be uh one right and the spin will be one half right now if this is three this is one this is also one the spin will be one half right now if this is three this is one this is also one the spin will be minus 1 half right so it is the first in positive direction and the second is in negative direction right now there are some other states also right sets of quantum numbers so if this is let this is one set of quantum numbers the second will be if this is 3 this is 1 this is 0 this will be 1 half and similarly similarly, this will be minus 1 half, right? so this is the second set of quantum numbers.
01:36
Now there is also a third set of quantum number, right? so if this is 3, this is 1, this is minus 1, this will be 1 half right.
01:47
And 3 1, minus 1 half right.
01:54
So this is the third set of quantum numbers, right? now in part b here, in part b, apart from these in part a, right, apart from these in a, eight more states are possible, right? eight more states are possible, right? eight more states are possible.
02:33
Now, now let's write these states, right? so let it this is n l m sub l m sub s right so let write it right so if this is these are three right these are three so one two three four five six seven eight this is one two three 4, 5, 6, 7, 8, right? and l is 1 -1, right? this is 1 -1 -1 -1 -1, right? now m -sub -l is also 1 -1.
03:33
So now this is here is a little difference, right? now this will be 1 -half minus 1 -half, right? 1 half.
03:49
1 half.
03:52
1 half minus 1 1 half.
03:57
1 half minus 1 1 half are positive or negative directions, right? and the possible sets of quantum numbers per m -s -l is 0 is so possible sets of quantum numbers per m -sub -l is 0 is this is n l m sub l ms up l so these are eight right so this is one two three four five six seven eight right this is one two three four five six seven eight right and this is also this is zero so m sub l is zero here so we will put that a one 2, 3, 4, 5, 6, 7, 8...