values of ml

[Amanda Nguyen dis 2E]

How do you determine the possible values of ml based on knowing the quantum number values for n and l?

[Nancy_La_1H]

ml is the magnetic quantum number and it specifies the orbitals within the subshell(l) that is being referred. For example 2px, 2py, 2pz (x,y, and z would be the ml). In one of the UA workshops that I went to, they mentioned that the permitted numbers for ml is -l to +1 in increments of 1.

So for example, if the l=2 then the ml would be -2, -1, 0, 1, 2. From there you can also see how the d subshell(l=2) has five orbitals

[Cassidy Chiong 2J]

Hi!

Essentially, mℓ = ±ℓ. First we start off with principal quantum number (energy level), which can be n=1,2,3,... Then, we know that ℓ, or the possible types of subshells within a shell, is ℓ=n-1. For example, say we are looking at n=3; that would mean ℓ=2, so the n=3 shell can contain s (0), p(1), and d(2) subshells. mℓ depends on which subshell we want to focus on. If we look at ℓ=2, or subshell d, the possible values of mℓ are -2,-1,0,1,2. If we look at ℓ=1, or subshell p, the possible values of mℓ are -1, 0,1.

Hope that helps!

[Aliza Hacking 1A]

Hi!! So first off you don't really need the n value to determine the ml value: you can just focus on whatever is given for l. How I like to remember it from there is that the number of ml values = 2l + 1, e.g. for l=2 there would be 5 ml values. You can also just remember that the greatest ml value for a given l value will be that l value, as in for example with l = 2 the greatest ml value would be 2, so knowing that ml values are integers you would then have 2,1,0,-1,-2, so 5 values. Hope this helps :)

[Naomi Christian 1E]

To find the values of ml, you just need the value of l. The ml values would go from -l to l. So, if you have an l value of 2, the ml values would be -2, -1, 0, 1, 2. For 3, it would be -3, -2...2, 3 and etc. Hope this helps!

[Muryam_Hasan_2I]

The number of ml values is equal to 2l + 1. For instance, in the 4s subshell, l = 0 and therefore 2l+1 = 1, such that there can only be 1 orbital in this subshell. This would be ml = 0, and then with each two additional possible ml values, there will an addition of 1 and a subtraction of 1. For instance, an increase of l to 1 would give 3 possible values of ml (using ml = 2l + 1), which can be ml = -1, 0, 1.

[madelyn kelly 1I]

You can determine ml based on the value of l:
l=0 ml= 0 (orbital s)
l=1 ml= -1,0, 1 (orbital p)
l=2 ml= -2,-1,0,1,2 (orbital d)
l=3 ml= -3,-2,-1,0,1,2,3 (orbital f)

[Jieun 2C]

Usually, the range of ml is -l,..0,..,l and l refers to the angular momentum quantum number. So for example, 3d, n=3 and l=2, therefore, the possible values for ml=-2,-1,0,1,2.

[Irene Kim 3E]

It also helps to remember that each previous quantum number dictates what the next successive numbers will be. In this way, the smaller the previous quantum numbers are (i.e., shell), the more limited values of subshell, orbital, and electron it can have.