## Quantum Number

$H_{\psi }=E_{\psi }$

1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$

Claire Lo 3C
Posts: 55
Joined: Sat Aug 17, 2019 12:18 am

### Quantum Number

If Schrodinger wave equation with 3 quantum numbers can only be used to solve for 1 e- atoms, then can you use 4 quantum numbers to solve for more electrons since the fourth number indicates the spin state?

Kassidy Ford 1I
Posts: 103
Joined: Sat Aug 17, 2019 12:16 am
Been upvoted: 1 time

### Re: Quantum Number

the fourth number represents the spin state of that same electron, so it can't be used to describe other electrons. The fourth number only indicates if the electron is spinning up or down.

Jessica Li 4F
Posts: 115
Joined: Fri Aug 09, 2019 12:16 am

### Re: Quantum Number

If an atom has an electron configuration such that some electrons are paired in an orbital, and you are trying to find an electron in a paired orbital, the fourth quantum number would help distinguish between the one with an up spin and the one with a down spin. Therefore, yes, the fourth quantum number is helpful in terms of figuring out electrons for atoms other than hydrogen/many-electron atoms. The other three, however, are arguably more helpful.