HΨ=EΨ [ENDORSED]

[Michelle Steinberg2J]

In lecture we wrote down this equation ( HΨ=EΨ) as well as :
H=double derivative
E= energy of e-
Ψ= wave function representing e-

I'm unsure what this formula means or when to apply it. An explanation would be great!

Thanks!

[Chem_Mod]

Hey Michelle!!!!!!!!!!!!!!!!!!!!!!!!!!!
This is Schrodinger's equation. The results of the equation are what we need for this class but we don't need to mathematically solve the equation cause doing that is quite difficult.
When you solve Schrodinger's equation, you get 2 results. You get the wavefunction psi and you also get an equation for the energy.

You can solve Schrodinger's equation for many different systems. In this course, we're primarily solving it for the H atom. The results are psi and a formula for Energy.

From the psi, you can derive the s,p,d, and f orbital shapes.
The energy formula is E = -Rh/n²

Hope this helps!

[Varsha Sivaganesh 1A]

So we just need to know that Schrodinger's equation is used to find n, l, and ml?? Or is that not what it's used for...?

[Vincent Grospe 3C]

When Schrodinger’s equation is used, those three quantum numbers (n, l, ml) are used to label each wave function, which utilizes coordinates (r, theta, phi).

[Mishta Stanislaus 1H]

The purpose was to be able to find the m,l,etc, values I believe .

[Peter Dis1G]

I have the same question. Thanks guys for explaining!