## Node

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

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

RenuChepuru1L
Posts: 58
Joined: Thu Jul 27, 2017 3:00 am

### Node

Im a little confused with what the book means when it says that a node is when the wave function passes through 0. What is the "passing through" referring to?

Tasnia Haider 1E
Posts: 55
Joined: Sat Jul 22, 2017 3:01 am

### Re: Node

I think it means when an electron has gone through a full wave cycle that it means that it goes through a node.

Chem_Mod
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### Re: Node

The "passing through zero" refers to the mathematical solution of the Schrodinger equation. When the equation equals zero, this is zero probability that an electron exists at that location, hence making nodes with zero electron density.

Sophie Krylova 2J
Posts: 59
Joined: Fri Sep 29, 2017 7:06 am

### Re: Node

The solution squared is zero, that means there is zero probability of an electron being there. But what does the solution by itself represent?