How do you find the magnetic quantum number and electron spin number?

Question

I know that ml ranges from -1,0,1 and ms could be -1/2 or 1/2 in chemistry way but how would you find the exact ml say for ex. ml = -1 is there a way to find it?...like for l we do l= (n-1) so please tell me how to get the exact number...in short tell me the physics way of it not chemistry...thanks!

Answer 1

I don't understand what you're asking.  If you want to know the possible values of the quantum numbers, you have to solve the Schrodinger equation for the electron in the coulomb potential of the nucleus.  And you get:

n = any integer

the orbital angular momentum, l, runs from zero to n-1

the z-component of angular momentum, ml, runs from l to -l.

And the spin of an electron is 1/2, so ms can be +1/2 or -1/2.

If you want to know the value of angular momentum, (spin or orbital), it's sqrt ( l(l+1) ) or sqrt (s (s+1) ) times h-bar.  The z components of orbital and intrinsic angular momentum are just h-bar time ms or ml. Is that what you mean?

Answer 2

For the magnetic quantum number, you can find that using the angular momentum of the electron and relate it with Planck's reduced constant. It's an equation, but I forgot it. It had a square root.

Electron spin number... I forget. It has to do with angular momentum too, I believe. And Planck's reduced constant.

Answer 3

no i think it's easier than that... you see where it is in the periodic table and you know that in the noble gasses the electrons are all paired

then you have to know how the orbitals fill up and which ones have paired or unpaired electrons and how many

that's part of i think... i forget too