## How Schrodinger Equation Relates to Atomic Orbitals

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

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

Noh_Jasmine_1J
Posts: 71
Joined: Fri Sep 28, 2018 12:15 am

### How Schrodinger Equation Relates to Atomic Orbitals

Hi, I am confused on how we make the connection between the Schrodinger Equation and the determination of atomic orbitals. Could someone explain it to me?

Aria Soeprono 2F
Posts: 64
Joined: Fri Sep 28, 2018 12:27 am

### Re: How Schrodinger Equation Relates to Atomic Orbitals

Schrodinger's equation provides the connection that wave functions are equivalent to orbitals. It states that the wave function can be described using quantum numbers n, l, and ml, in which a higher energy produces a larger orbital. These wave functions are associated with particular "shapes" of orbitals: s, p, d, and f.