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I think you'd have to look at the periodic table too. Like n=1 only has the s-orbital, n=2 only has the s and p orbital, and then n=3 has s and p and d orbital, etc. If I remember correctly, l = (n-1), like the highest possible l.
based on the n, you can know what l (orbitals) are possible. for example n = 3 means l values can be 0, 1, and (n=1) aka 2. l = 0 is the s-orbital. l=1 is the p orbital. l=2 is the d orbital. depending on which element in the level you are working with, you can deduce which l value it has based on where it is on the periodic table groups. hope that helps!
I believe in most of the sapling problems we're given both a number/letter, for example 4s. This provides you with the information for both the n an l values. N being simply the number. And the letter tells you the l value. When it is s l=0, p l=1, d l=2, f l=3 and so on.
The value of N(shell) is specified by the coefficient in the orbital designation. The value of L(the subshell) is one less than n (n-1)! Value of ml(orbital number) is a range of values based on L(so -L,0,L). And ms is either -1/2 or 1/2 depending on the spin of the electron. Hope this helps!
The l value cannot be determined solely from the n value as there is simply not enough information. However, the n value provides the possible ranges for the l value. The minimum value is always 0 and the maximum value is always n - 1. The different subshells will provide you with the information necessary in order to determine the n value. s subshell is 0. p subshell is 1. d subshell is 2. p subshell is 3. Of course this is how you can determine impossible quantum numbers as 1p will never exist. n = 1 and l = 1 but max value of l is n-1
The l value can be 0,1,2,3... n-1. If n=3, then the l value could be 0, 1, or 2. If n=1, then the l value could only be 0 because it can only be up to n-1. The l value therefore can range from 0 to n-1. l represents the orbital so l=0 is a s orbital, l=1 is a p orbital, and l=2 is a d orbital.
There will be multiple l values for an n value unless the letter of the orbital is specified, unless it's n=1 because there is only one subshell. FOr example if all you're given is that n=2, l could be 0 or 1 depending on the subshell letter. Hope that helps!
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