## Schrodinger's equation

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

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

lasarro
Posts: 55
Joined: Thu Jul 11, 2019 12:15 am

### Schrodinger's equation

Can someone explain the relationship between schrodingers equation, wave functions and orbitals?

Chem_Mod
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### Re: Schrodinger's equation

An orbital is a wave function that is a solution of schrodinger’s equation and it describes the wavelike properties of an electron. If you square the wave function you get the probability density of the electron distribution, which tells you how likely it is to find an electron in a certain region

Emma Popescu 1L
Posts: 105
Joined: Wed Sep 11, 2019 12:16 am

### Re: Schrodinger's equation

A wavefunction is a mathematical function with values that vary with position. It can give the probability of finding the particle in a region proporitional to the value of the wavefunction squared in that region. Schrodinger's equation is used to calculate the wavefunction for any particle.