## Concepts of Schrodinger equation

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

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

Jielena_Bragasin2G
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### Concepts of Schrodinger equation

Hi! I was wondering if anyone can explain to me the main concept of the Schrodinger equation because I am slightly confused about what I am supposed to know about it. Thank you!

KeyaV1C
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### Re: Concepts of Schrodinger equation

Here’s what I have in my notes:

Schrodinger's wave function equation
-> Uses a wave function to describe position of e- in an atom
-> Ψ: height of wave at position (x, y, z)
-> Ψ^2: represents probability of finding an e- / electron density distribution

H(Hamiltonian)Ψ = E(energy)Ψ
↳ operate a change on Ψ = energy of Ψ

Ψ -> wave function -> orbital
many solutions (Ψ) → many orbitals
higher energy = larger orbitals

Ψ - s, p, d, f

Naji Sarsam 1F
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### Re: Concepts of Schrodinger equation

An extra note which is important to keep in mind is that the "Wave Function" is a mathematical equation. That is why it is also called the Schrodinger Equation. Once you think of it in that way, it becomes very easy to contextualize all of the chemistry terms related to it.

We will not learn the equation itself or do calculations with it, as that is a higher level of chemistry. However, the job of the wave function is to be an equation which one could solve to figure out where the electron can be in an atom and its relative probability of being in those locations.

Since an electron can be in different places in an atom depending on its energy, the equation has many solutions. Thus, the s, p, d, and f orbitals are just names for the answers to the wave function--which describe where the electrons can be.

Sally Qiu 2E
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### Re: Concepts of Schrodinger equation

schrodinger's equation solves for a wave function (treating electrons as matter waves) and it can be used to find the relative location of an electron and the probability of finding an electrons in a location.