Quantum numbers:
What are the n values that are allowed?
I put 1,2,3,4, etc.
For the first four of these, indicate the l values allowed.
n=1 l = 0
n=2 l = 0,1
n=3 l = 0,1,2
n=4 l = 0,1,2,3
Are these correct?
yes,
For each l value indicate the ml values allowable?
l=1 ml=+1, 0, -1
l=2 ml=+2,+1,0,-1,-2
l=3 ml= everything from +3 to -3
l-4 ml= everything from +4 to -4
Are these correct?
What are the ms values allowable?
These I am not sure about. Is it the number of orbitals?
l=3 ml= everything from +3 to -3
l-4 ml= everything from +4 to -4
Your teacher may not give you credit for this. The safe thing to do is to list them all as you did for the two previous ml values. Or you might say something like -l to +l in increments of 1 with zero included.
All of these look ok to me.
For the ms values, that is +1/2 and -1/2 and those are the only two values no matter which orbital they occupy.
Its +1/2 for one electron and -1/2 for the other electron of a pair.
ok thank you!!
Yes, your answers are correct.
To determine the allowed values of the quantum number n, you need to consider that n represents the principal quantum number, which determines the energy level or shell of an electron within an atom. The allowed values for n are positive integers, starting from 1.
For the first four values of n (1, 2, 3, and 4), the possible values for the angular momentum quantum number (l) can be determined. The angular momentum quantum number describes the shape of the electron's orbital within a particular energy level.
The values of l can range from 0 up to (n-1). So, for n=1, there is only one possible value for l which is 0. For n=2, l can be either 0 or 1. For n=3, l can be 0, 1, or 2. And for n=4, l can be 0, 1, 2, or 3.
Therefore, your answers for the permitted values of l for the first four values of n are correct.