## Schrodinger Equation [ENDORSED]

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

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

Katarina Ho -1B
Posts: 29
Joined: Fri Apr 06, 2018 11:03 am

### Schrodinger Equation

I am a little confused about the application to this equation. Is it only used for Hyrogen atoms? or can it be applied to all atoms?

Chem_Mod
Posts: 18918
Joined: Thu Aug 04, 2011 1:53 pm
Has upvoted: 745 times

### Re: Schrodinger Equation

It can be applied to any atom and any system. The orbitals we are familiar with are the solutions when we apply it to hydrogen.

If it is written as $H\psi =E\psi$, then $H$ is called an operator (like $\frac{\mathrm{d} }{\mathrm{d} x}$ in calculus) and depends on the specific system we are examining. If it is hydrogen, when we solve it we get different functions $\psi$ which look like the orbitals, and different values of $E$, which are the corresponding energies of the orbitals. For hydrogen, we know that $E_{n} =\frac{-hR_{H}}{n^{2}}$ . We got this equation for $E$ by solving the Schrodinger equation!

Bree Perkins 1E
Posts: 34
Joined: Fri Apr 06, 2018 11:04 am

### Re: Schrodinger Equation

What does the $E_{n}$ equation mean in this instance. I guess I am confused on what we use the Schrodinger Equation for?

Ellie Tsang 1I
Posts: 30
Joined: Fri Apr 06, 2018 11:05 am
Been upvoted: 1 time

### Re: Schrodinger Equation

En is the energy at some orbital, n.

Chem_Mod
Posts: 18918
Joined: Thu Aug 04, 2011 1:53 pm
Has upvoted: 745 times

### Re: Schrodinger Equation

The Schroedinger equation is used to derive solutions to quantum mechanical systems. For example, the orbital functions for the hydrogen atom were generated from solutions to the equation. Particle-in-a-box is another system that can be modeled using the equation.

Aryana Nazem 1A
Posts: 40
Joined: Fri Apr 06, 2018 11:04 am

### Re: Schrodinger Equation

Does anyone know if this equation will be fair game for our midterm? Also will we just have to know what it means conceptually or will we have to actually need to use it?

Jacy Black 1C
Posts: 30
Joined: Fri Apr 06, 2018 11:01 am

### Re: Schrodinger Equation

I understand that Schrodinger's equation gives a solution of the wave function which describes orbitals. But how? I'm unsure what the notation itself for the equation means, and how I would describe this system or answer a test question using it.

Chem_Mod
Posts: 18918
Joined: Thu Aug 04, 2011 1:53 pm
Has upvoted: 745 times

### Re: Schrodinger Equation  [ENDORSED]

You will be responsible for a conceptual understanding of the equation, similar to the explanations above. However, you will not be expected to use the equation itself on an exam.

Elana Weingord 1C
Posts: 34
Joined: Fri Apr 06, 2018 11:05 am

### Re: Schrodinger Equation

This can be applied to all atoms, not just Hydrogen atoms